The role of spatial embedding in mouse brain networks constructed from diffusion tractography and tracer injections
Open accessAbstract
Diffusion MRI tractography is the only noninvasive method to measure the structural connectome in humans. However, recent validation studies have revealed limitations of modern tractography approaches, which lead to significant mistracking caused in part by local uncertainties in fiber orientations that accumulate to produce larger errors for longer streamlines. Characterizing the role of this length bias in tractography is complicated by the true underlying contribution of spatial embedding to brain topology. In this work, we compare graphs constructed with ex vivo tractography data in mice and neural tracer data from the Allen Mouse Brain Connectivity Atlas to random geometric surrogate graphs which preserve the low-order distance effects from each modality in order to quantify the role of geometry in various network properties. We find that geometry plays a substantially larger role in determining the topology of graphs produced by tractography than graphs produced by tracers. Tractography underestimates weights at long distances compared to neural tracers, which leads tractography to place network hubs close to the geometric center of the brain, as do corresponding tractography-derived random geometric surrogates, while tracer graphs place hubs further into peripheral areas of the cortex. We also explore the role of spatial embedding in modular structure, network efficiency and other topological measures in both modalities. Throughout, we compare the use of two different tractography streamline node assignment strategies and find that the overall differences between tractography approaches are small relative to the differences between tractography- and tracer-derived graphs. These analyses help quantify geometric biases inherent to tractography and promote the use of geometric benchmarking in future tractography validation efforts.
AI snapshot
Written from the paper’s full text.
TL;DR
This paper benchmarks mouse brain graphs from ex vivo diffusion MRI tractography against Allen tracer-derived graphs using random geometric surrogate graphs. It finds that spatial embedding/geometry explains substantially more of tractography network topology than tracer network topology, largely because tractography underestimates long-range connectivity.
Key findings
- Geometry plays a substantially larger role in tractography-derived graphs than in tracer-derived graphs. Tractography underestimates relative long-range connectivity by as much as two orders of magnitude, with statistically significant differences from tracers for fiber distances around 17–22 mm.
- Tracer graphs place hubs peripherally: 17% of total tracer hub strength was in the isocortex, while no isocortex nodes in either tractography graph were identified as hubs; only 11 individual structures were co-identified as hubs between the tracer and both tractography methods. Tractography hubs were closer to the geometric center of the brain.
- Raw modularity Q was comparable between tracer and tractography graphs, but the tracer graph showed substantially higher Wrand-normalized modularity. Tractography Q values normalized by geometric surrogates were significantly closer to 1 than the tracer graph, indicating more geometric determination of modular structure.
- Endpoint tractography matched tracer global efficiency across thresholds, while dense tractography significantly underestimated global efficiency at all densities. Neither tractography method accurately predicted per-node local efficiency.
Methods
- Compared ex vivo diffusion MRI tractography in five adult mice (9.4 T, 125 μm isotropic, b-value = 3000 s/mm², 30 directions) with the Allen Mouse Brain Connectivity Atlas tracer model from Knox et al. (428 anterograde fluorescent viral tracer experiments; 286 of 291 gray matter regions) and independent cortical tracer data from Gămănuţ et al.
- Constructed tractography graphs using two streamline node assignment strategies: “endpoint” and “dense,” with weights normalized by node-pair volumes and hemispheric symmetry enforced.
- Built random geometric surrogate graphs preserving node-strength distribution and low-order weight-distance relationships, plus random surrogates preserving the strength sequence, then compared modularity, hub organization, participation coefficient, eigenvector centrality, and network efficiency.
Limitations
- Stated: the analysis assumes tracer data as ground truth, but tracer graphs are inherently directed while tractography is undirected, requiring symmetry enforcement that may alter network properties; the Knox et al. model is itself a computational estimate that may carry biases; and the Gămănuţ et al. validation data cover only select ipsilateral intra-cortical edges.
- Stated: tractography used a single, relatively low b-value and did not use advanced streamline quantitation such as SIFT2.
- Evident from text: the diffusion MRI sample is small (five mice), and the paper notes that human tractography conclusions cannot be verified with ground-truth imaging, so caution is warranted when generalizing.
Model-written summary. Check it against the paper before relying on it.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
20 of 33 cited sources checked · 9 supported · 0 flagged · accuracy not yet measured
- Premisecitation
Modern tractography approaches still produce high numbers of both false positive and false negative tracts.
“Recent efforts to validate tractography have uncovered several limitations, and even modern approaches still produce high numbers of both false positive and false negative tracts (Aydogan et al., 2018; Maier-Hein et al., 2017; Schilling et al., 2019; Thomas et al., 2014).”
Quote in the paperSubstantial claim3 of 3 sources checked- cites Aydogan et al., 2018 source
- cites Maier-Hein et al., 2017 source
The Results section, “Tractograms contained more invalid than valid bundles” (page unavailable), reports many false-positive bundles: 88 on average. But “Tractograms contained most of the ground truth bundles” reports that an average of 21 of 25 true bundles were identified. Although their spatial extent was often poorly recovered, the paper does not establish high numbers of false-negative tracts. (LLM, conf=0.87)
Experimental — accuracy not yet measured - cites Schilling et al., 2019 source
- Premisecitation
A specific limitation inherent to probabilistic streamline tractography is the fiber-length bias: local uncertainties in the fiber orientation distribution at each step in the tracking process accumulate to produce global errors for longer streamlines, leading to an underestimation of connectivity weights at greater distances.
“A specific limitation inherent to probabilistic streamline tractography is the fiber-length bias: local uncertainties in the fiber orientation distribution at each step in the tracking process accumulate to produce global errors for longer streamlines, leading to an underestimation of connectivity weights at greater distances.”
Quote in the paperSubstantial claim3 of 3 sources checked- cites Aydogan et al., 2018 source
Split into 2 atoms — 0 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 1 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measured - cites Maier-Hein et al., 2017 source
Split into 2 atoms — 0 confirmed, 0 partially supported, 0 disputed, 0 misattributed, 2 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measured - cites Schilling et al., 2019 source
Split into 2 atoms — 0 confirmed, 2 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measured
- Premisecitation
There is a true falloff of both structural and functional connectivity with distance in a number of mammalian species.
“true falloff of both structural and functional connectivity with distance has been shown with high-resolution invasive imaging as well as tractography in a number of mammalian species (Horvát et al., 2016; Markov et al., 2013; Perinelli et al., 2019; Roberts et al., 2016; Rubinov et al., 2015; Supekar et al., 2009).”
Quote in the paperSubstantial claim2 of 3 sources checked- cites Horvát et al., 2016 source
The Results (‘Functional Layout in Terms of Spatial Clustering of Cortical Areas’; page unavailable) report that connection probability and strength decline with distance in mouse and macaque, using tract-tracing data. The paper does not show a corresponding falloff in functional connectivity; ‘functional layout’ refers here to the organization of the traced cortical network. The Discussion (page unavailable) describes limitations of tractography rather than presenting it as a method used to establish these findings. (LLM, conf=0.88)
Experimental — accuracy not yet measured - cites Markov et al., 2013 source
The Abstract and Introduction report that structural corticocortical connection weights and connection probability fall with distance in macaques, using retrograde-tracing data. Our copy does not show a comparable falloff in functional connectivity, demonstrate it across multiple mammalian species, or report tractography evidence. (LLM, conf=0.89)
Experimental — accuracy not yet measured - cites Roberts et al., 2016 source
- Premisecitation
The brain is a spatially embedded network with properties partially inherited from geometry.
“the brain is itself a spatially embedded network with properties partially inherited from geometry: there is a metabolic wiring cost in the establishment of long-range connections”
Quote in the paperSubstantial claim2 of 3 sources checked - Premisecitation
Neural tracer data is the gold standard for mesoscale connectivity studies in a number of model organisms.
“Neural tracer data is the gold standard for mesoscale connectivity studies in a number of model organisms (Bota et al., 2015; Girard et al., 2020; Jbabdi et al., 2015; Markov et al., 2014; 2013; Oh et al., 2014).”
Quote in the paperSubstantial claim3 of 3 sources checked- cites Bota et al., 2015 source
The Abstract says animal histological pathway-tracing data are needed to validate diffusion tractography, and Materials and Methods describes using tracing reports for a rat cortical connectome. But the paper studies regional macroconnections, while the Discussion describes a neuron-type mesoconnectome as future work; it does not establish tracer data as the gold standard for mesoscale studies across multiple model organisms. Page numbers are unavailable in our copy. (LLM, conf=0.85)
Experimental — accuracy not yet measured - cites Girard et al., 2020 source
- cites Jbabdi et al., 2015 source
- Premisecitation
Seeding only from gray matter avoids known tract-length connectivity biases.
“For the data used in this study, we took the approach of seeding only from the gray matter to avoid known tract-length connectivity biases (Girard et al., 2014; Jeurissen et al., 2019), and normalized the streamline counts by the volumes of each node-pair in order to better match the normalized connection density metric used in the Knox et al. model.”
Quote in the paperSubstantial claim1 of 2 sources checked- cites Girard et al., 2014 source
- cites Jeurissen et al., 2019 source
Section 3.4 says seeding at the gray matter–white matter interface can reduce the overrepresentation of long bundles caused by seeding throughout white matter. It does not say that seeding only from gray matter eliminates tract-length connectivity bias; it also warns that gray-matter regions may have ill-defined fiber orientations. (LLM, conf=0.86)
Experimental — accuracy not yet measured
- Findingown data
Dense tractography graphs predict ⟨Dneighbors⟩ values for their hub nodes more similar to those from the tracer graph.
“The dense tractography graphs predict ⟨Dneighbors⟩ values for their hub nodes more similar to those from the tracer graph, but the distributions from both tractography approaches are much more similar to those from their corresponding geometric surrogates than the empirical tracer distributions are to theirs.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
Modules identified in the tractography networks are much more spatially clustered together than those in the tracer network.
“Overall, modules identified in the tractography networks are much more spatially clustered together than those in the tracer network.”
Quote in the paperSubstantial claim - Findingown data
Both tractography methods show statistically significant differences from tracers for fiber distance between around 17-22 mm.
“with both tractography methods showing statistically significant differences from tracers for fiber distance between around 17–22 mm.”
Quote in the paperSubstantial claim - Findingown data
Distributions from both tractography approaches are much more similar to those from their corresponding geometric surrogates than the empirical tracer distributions are to theirs.
“The dense tractography graphs predict ⟨Dneighbors⟩ values for their hub nodes more similar to those from the tracer graph, but the distributions from both tractography approaches are much more similar to those from their corresponding geometric surrogates than the empirical tracer distributions are to theirs.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
Overall differences between tractography approaches are small relative to the differences between tractography- and tracer-derived graphs.
“we compare the use of two different tractography streamline node assignment strategies and find that the overall differences between tractography approaches are small relative to the differences between tractography- and tracer-derived graphs.”
Quote in the paperSubstantial claim - Findingown data
Dense tractography significantly underestimated global efficiency at all densities, even after normalization with the values from its geometric surrogates.
“Dense tractography significantly underestimated global efficiency at all densities, even after normalization with the values from its geometric surrogates, which suggests that dense tractography underestimates the role of geometry in network integration relative to the tracer model.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
Both tractography methods show much higher overlap in module assignment between their empirical and geometric surrogates than the tracer graph does.
“while both tractography methods show much higher overlap in module assignment between their empirical and geometric surrogates.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Findingown data
The geometric bias in tractography was not mitigated by either node-assignment method.
“The geometric bias in tractography was not mitigated by either method; despite small differences, network characteristics of both tractography graphs were far more similar to each other than either of them were to characteristics of the tracer graph.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
In the case of dense node assignment, the tendency to cluster hub nodes near the center of the brain appears even more pronounced than would be predicted by geometric surrogate graphs with the same weight-distance relationship.
“In the case of dense node assignment, the tendency to cluster hub nodes near the center of the brain appears even more pronounced than would be predicted by geometric surrogate graphs with the same weight-distance relationship.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Findingown data
Both empirical tractography graphs have lower mean ⟨Dneighbors⟩ values for hub nodes than for feeder nodes.
“Particularly, both empirical tractography graphs have lower mean ⟨Dneighbors⟩ values for hub nodes than for feeder nodes, the reverse of the relationship seen in the tracer graph.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
For most fiber distances, both tractography methods underestimate the standard deviation of normalized weights compared to tracers.
“For most fiber distances, both tractography methods also underestimate the standard deviation of normalized weights compared to tracers.”
Quote in the paperNot a substantial claim - Findingown data
Edge-weight distributions had a comparable and approximately log-normal shape for all empirical graphs.
“Regardless, edge-weight distributions had a comparable and approximately log-normal shape for all empirical graphs.”
Quote in the paperNot a substantial claim - Findingown data
Geometry plays a substantially larger role in determining the topology of graphs produced by tractography than graphs produced by tracers.
“We find that geometry plays a substantially larger role in determining the topology of graphs produced by tractography than graphs produced by tracers.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Findingown data
Pearson correlations between per-node local efficiencies of tractography- and tracer-derived networks were weak across both methods and all densities.
“Pearson correlations were weak across both methods and all densities, indicating that while endpoint tractography performs well in estimating global efficiency, neither tractography method is able to accurately predict the local efficiency of individual nodes.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
Dense node assignment resulted in higher weights than endpoint node assignment.
“dense node assignment resulted in higher weights than endpoint node assignment.”
Quote in the paperNot a substantial claim - Findingown data
Geometric surrogate graphs from all network construction methods have lower mean ⟨Dneighbors⟩ for hub nodes than for feeder nodes.
“Geometric surrogate graphs from all network construction methods have much lower mean ⟨Dneighbors⟩ for hub nodes than for feeder nodes, meaning they predict the most topologically central hub nodes to also be the most geometrically central.”
Quote in the paperSubstantial claim - Findingown data
Graphs from both tractography methods show only modest agreement in module assignment with the tracer graph.
“Graphs from both tractography methods show only modest agreement in module assignment with the tracer graph.”
Quote in the paperSubstantial claim - Findingown data
Network characteristics of both tractography graphs were far more similar to each other than either of them were to characteristics of the tracer graph.
“The geometric bias in tractography was not mitigated by either method; despite small differences, network characteristics of both tractography graphs were far more similar to each other than either of them were to characteristics of the tracer graph.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
The tracer graph shows only modest agreement in module assignment with its geometric surrogates.
“The tracer graph also shows only modest agreement in module assignment with its geometric surrogates”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Findingown data
Endpoint graphs are better able than dense graphs to capture some of the more peripheral hubs along the inferior hypothalamus.
“However, Fig. 6 shows that the endpoint graphs are better able than dense graphs to capture some of the more peripheral hubs along the inferior hypothalamus.”
Quote in the paperNot a substantial claim - Findingown data
The tracer graph shows a substantially higher Wrand-normalized modularity relative to all tractography methods.
“the tracer graph shows a substantially higher Wrand-normalized modularity relative to all tractography methods”
Quote in the paperSubstantial claim- The authors state this as an assumption: The random surrogates Wrand represent the null hypothesis that topological properties of brain networks arise solely from the particular distribution of node strengths and locations.
- Findingown data
Intra-module edges are more likely to be shorter range for both tractography methods than for tracers.
“Intra-module edges are more likely to be shorter range for both tractography methods than for tracers”
Quote in the paperSubstantial claim - Findingown data
The results were largely independent of the specific node-assignment approach.
“Ultimately, we found our results were largely independent of the specific node-assignment approach.”
Quote in the paperSubstantial claim - Findingown data
The tracer empirical graph places its hubs further from the center of mass than its corresponding geometric surrogates.
“the tracer empirical graph places its hubs further from the center of mass than its corresponding geometric surrogates”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Findingown data
In the empirical tracer graph, hub nodes are less geometrically central than the remaining feeder nodes.
“The empirical tracer graph predicts the opposite relationship: not only are tracer hub nodes located further from their neighbors than predicted by geometry, they are also less geometrically central than the remaining feeder nodes, reflecting their peripheral placement seen in Figs. 6 and 7.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
Raw Q values are comparable between the tracer and two tractography graphs.
“While raw Q values are comparable between the tracer and two tractography graphs”
Quote in the paperSubstantial claim - Findingown data
The difference in correlations between dense and endpoint node assignment was statistically significant (p < 0.01) using a t-test.
“The difference in correlations was statistically significant (p < 0. 01) using a t-test.”
Quote in the paperSubstantial claim - Findingown data
The mean normalized weight-distance curves from both tractography graphs fall below the corresponding tracer curve for distances above around 10 mm.
“The mean normalized weight-distance curves from both tractography graphs in Fig. 2a fall below the corresponding tracer curve for distances above around 10 mm”
Quote in the paperSubstantial claim - Findingown data
Across all threshold levels and normalizations, global efficiencies from endpoint tractography provided a good match to those from the tracer model.
“Across all threshold levels and normalizations, global efficiencies from endpoint tractography provided a good match to those from the tracer model.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
Edge weights constructed with dense node assignment had a slightly higher Spearman correlation with the tracer weights than those constructed with endpoint node assignment.
“Edge weights constructed with dense node assignment had a slightly higher Spearman correlation with the tracer weights than those constructed with endpoint node assignment.”
Quote in the paperSubstantial claim - Findingown data
In the empirical tracer graph, hub nodes are located further from their neighbors than predicted by geometry.
“The empirical tracer graph predicts the opposite relationship: not only are tracer hub nodes located further from their neighbors than predicted by geometry, they are also less geometrically central than the remaining feeder nodes, reflecting their peripheral placement seen in Figs. 6 and 7.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
The opposite relationship between hub and feeder node geometric centrality observed in the tracer graph is not observed in any empirical tractography graphs.
“This effect is not observed in any of the empirical tractography graphs.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
Only 11 individual structures were co-identified as hubs between the tracer and both tractography methods.
“Overall, only 11 individual structures were co-identified as hubs between the tracer and both tractography methods.”
Quote in the paperNot a substantial claim - Findingown data
Tractography graphs underestimate connectivity weights at long distances.
“Tractography graphs underestimate connectivity weights at long distances, leading to a conflation of topological and geometric centrality that biases the estimated modular structure and the architecture of hub subnetworks.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
For both node assignment methods, Spearman correlations between tractography and tracer weights are significantly higher with the Knox et al. model than the Gămănuţ et al. data.
“For both node assignment methods, Spearman correlations between tractography and tracer weights are significantly higher with the Knox et al. model than the Gămănuţ et al. data.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Findingown data
Tractography approaches underestimate long-range connectivity.
“Tractography approaches underestimate long-range connectivity, which leads to geometric biases in the estimated modular structure and placement of high-strength hub nodes.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Interpretationown data
There is strong geometric determination in the organization of hub nodes in tractography above and beyond the geometric relationship expected from tracer data.
“These results suggest a strong geometric determination in the organization of hub nodes in tractography above and beyond the geometric relationship expected from tracer data.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Interpretationown data
Tractography modular structure is partially determined by geometric bias against long-range connections.
“consistent with tractography modular structure being partially determined by geometric bias against long-range connections.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Interpretationown data
Tractography graphs under-represent the modularity of the mouse structural brain network beyond what would be expected from a random graph with the same strength sequence.
“suggesting that tractography graphs under-represent the modularity of the mouse structural brain network beyond what would be expected from a random graph with the same strength sequence.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The random surrogates Wrand represent the null hypothesis that topological properties of brain networks arise solely from the particular distribution of node strengths and locations.
- Interpretationown data
Across nearly all metrics explored, topological properties of tractography-derived graphs are much more influenced by spatial embedding than would be predicted by the role of spatial embedding represented by the tracer model.
“Across nearly all metrics explored in this study, we find that the topological properties of tractography-derived graphs are much more influenced by spatial embedding than would be predicted by the more accurate role of spatial embedding represented by the tracer model.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Interpretationown data
The tractography methods explored in this work underestimate relative long-range connectivity compared to neural tracers, by as much as two orders of magnitude.
“These results suggest that the tractography methods explored in this work underestimate relative long-range connectivity by as much as two orders of magnitude.”
- Also stated in: § Abstract · plain
“Tractography underestimates weights at long distances compared to neural tracers”
Quote in the paperSubstantial claim - Also stated in: § Abstract · plain
- Interpretationown data
Dense tractography underestimates the role of geometry in network integration relative to the tracer model.
“Dense tractography significantly underestimated global efficiency at all densities, even after normalization with the values from its geometric surrogates, which suggests that dense tractography underestimates the role of geometry in network integration relative to the tracer model.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Interpretationown data
Many properties of the true brain network can be reasonably predicted strictly by spatial embedding.
“given that many properties of the true brain network can be reasonably predicted strictly by spatial embedding, tractography methods development and validation efforts should be targeted towards the ability to predict network properties beyond a geometric baseline.”
Quote in the paperSubstantial claim - Interpretationreasoning
This underestimation leads to a conflation of topological and geometric centrality.
“Tractography graphs underestimate connectivity weights at long distances, leading to a conflation of topological and geometric centrality that biases the estimated modular structure and the architecture of hub subnetworks.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Interpretationreasoning
A smaller relative standard deviation around the mean weight-distance relationship is consistent with tractography weights being more strictly determined by fiber distance than tracer weights are.
“A smaller relative standard deviation around the mean weight-distance relationship is consistent with tractography weights being more strictly determined by fiber distance than tracer weights are”
Quote in the paperSubstantial claim - Interpretationreasoning
The comparable performance of dense tractography reflects the ambiguous physical definition of tractography streamlines.
“While endpoint tractography might represent a more physically intuitive model of brain connectivity, the comparable performance of dense tractography reflects the ambiguous physical definition of tractography streamlines.”
Quote in the paperSubstantial claim - Interpretationown data
Geometric surrogate graphs predict that the most topologically central hub nodes are also the most geometrically central.
“Geometric surrogate graphs from all network construction methods have much lower mean ⟨Dneighbors⟩ for hub nodes than for feeder nodes, meaning they predict the most topologically central hub nodes to also be the most geometrically central.”
Quote in the paperSubstantial claim - Interpretationown data
Neither tractography method is able to accurately predict the local efficiency of individual nodes.
“Pearson correlations were weak across both methods and all densities, indicating that while endpoint tractography performs well in estimating global efficiency, neither tractography method is able to accurately predict the local efficiency of individual nodes.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Interpretationown data
Modules in the true mouse brain network are less spatially clustered than they would be if determined by geometry alone.
“suggesting that modules in the true mouse brain network are less spatially clustered than they would be if determined by geometry alone”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Interpretationown data
There is a strong geometric bias in the placement of topologically important nodes in tractography graphs.
“This once again indicates a strong geometric bias in the placement of topologically important nodes in tractography graphs.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Premisecitation
Gămănuţ et al. (2018) observed a much higher cortical density in the mouse brain of 97% using tract-tracing measurements from independent retrograde tracer data.
“A recent study by Gămănuţ et al. (2018) observed a much higher cortical density in the mouse brain of 97% using tract-tracing measurements from independent retrograde tracer data.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Gămănuţ et al. (2018)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning
The intuitive appeal of endpoint streamline node assignment is compromised.
“This compromises the intuitive appeal of “endpoint” streamline node assignment as used in this study.”
Quote in the paperSubstantial claim - Interpretationreasoning
Without additional constraints, endpoint locations of any given streamline are expected to be more noisy and erroneous as streamline length increases due to accumulated fiber orientation errors.
“In fact, without additional constraints, we expect the endpoint locations of any given streamline to be more noisy and erroneous as streamline length increases due to the fiber orientation errors accumulated at each step in the tracking process, an inherent tradeoff that exists even with more sophisticated forms of anatomic regularization.”
Quote in the paperSubstantial claim - Interpretationreasoning
The Knox et al. model is only an estimate that may carry its own biases of the true underlying density of neurons connecting each region pair.
“Accordingly, the Knox et al. model itself is only an estimate that may carry its own biases of the true underlying density of neurons connecting each region pair.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Interpretationreasoning
With dense tractography, effective signal-to-noise ratio for connectivity falls off for points further from the seed location.
“With dense tractography, the effective signal to noise ratio for connectivity similarly falls off for points further away from the seed location, but since a single streamline is allowed to contribute to the connectivity estimate between multiple node-pairs at varying distances, a greater proportion of points from each streamline contribute connectivity estimates that are less noisy than those”
Quote in the paperSubstantial claim - Interpretationreasoning
At this spatial resolution and in the absence of stronger anatomical regularization, tractography streamlines strictly represent potential probabilistic pathways of white matter fibers that are consistent with symmetric diffusion data.
“Particularly at this spatial resolution and in the absence of stronger anatomical regularization, tractography streamlines strictly represent potential probabilistic pathways of white matter fibers that are consistent with symmetric diffusion data.”
Quote in the paperSubstantial claim - Interpretationown data
Spatial embedding played a considerably larger role in the topology of tractography networks than tracer networks.
“We found that spatial embedding played a considerably larger role in the topology of tractography networks than tracer networks.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Premisecitation
Connectivity values in the Knox et al. model are derived from segmented projection volumes of a viral tracer that fluoresces along the entire length of any given neural projection.
“Dense tractography also serves as a potentially more physically meaningful match to the tracer data used in this study, as connectivity values in the Knox et al. model are derived from segmented projection volumes of a viral tracer that fluoresces along the entire length of any given neural projection.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Knox et al.
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning
This underestimation leads to geometric biases in the estimated modular structure and placement of high-strength hub nodes.
“Tractography approaches underestimate long-range connectivity, which leads to geometric biases in the estimated modular structure and placement of high-strength hub nodes.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Premisecitation
The Knox et al. model relies on computational estimates of connectivity based on segmented volume fractions of underlying tracer experiments that may span multiple different gray-matter regions.
“Besides any biases in the imaging and registration process itself, the Knox et al. model relies on computational estimates of connectivity based on segmented volume fractions of underlying tracer experiments that may span multiple different gray-matter regions.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Knox et al.
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning
Dense tractography serves as a potentially more physically meaningful match to the tracer data used in this study.
“Dense tractography also serves as a potentially more physically meaningful match to the tracer data used in this study, as connectivity values in the Knox et al. model are derived from segmented projection volumes of a viral tracer that fluoresces along the entire length of any given neural projection.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Interpretationreasoning
Directional symmetry enforcement may alter the underlying network properties represented by the tracer data.
“This requires the use of directional symmetry enforcement for fair comparison that may alter the underlying network properties represented by the tracer data.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
- Interpretationreasoning
Because a single streamline can contribute to multiple node-pairs, a greater proportion of points from each streamline contribute less noisy connectivity estimates than endpoints.
“With dense tractography, the effective signal to noise ratio for connectivity similarly falls off for points further away from the seed location, but since a single streamline is allowed to contribute to the connectivity estimate between multiple node-pairs at varying distances, a greater proportion of points from each streamline contribute connectivity estimates that are less noisy than those”
Quote in the paperSubstantial claim
- Classified as probably not a substantial claim. 8
- May combine two claims. 18
- The quote only partly states this claim. 1
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationRecent tractography validation reviews suggest that the future of tractography connectomics hinges on incorporation of more advanced anatomical and microstructural priors to address geometric and other biases and make streamlines more quantitative and physically meaningful.
“Even with these relatively simple post-processing approaches, the results of this study serve to echo recent tractography validation reviews that suggest that the future of tractography connectomics hinges on the incorporation of more advanced anatomical and microstructural priors to tractography pipelines in order to address geometric and other biases and make streamlines more quantitative and”
Quote in the paperNot a substantial claim2 of 2 sources checked- cites Maier-Hein et al., 2017 source
The Discussion (page not provided) calls for more reliable anatomical priors and advanced diffusion microstructure modeling, and says streamline filtering may reduce tractography biases. It does not say these changes will make individual streamlines more quantitative or physically meaningful; it also cautions that such developments will not resolve tractography’s fundamental ambiguities. (LLM, conf=0.84)
Experimental — accuracy not yet measured - cites Schilling et al., 2019 source
The Discussion (‘Advancements needed’; page unavailable) recommends anatomical priors and microstructural information to improve tracking, and the Introduction identifies geometric and other sources of bias. Our copy does not establish the further claim that these additions would make streamlines more quantitative and physically meaningful. (LLM, conf=0.82)
Experimental — accuracy not yet measured
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationGirard et al. (2020) rigorously benchmarked 15 tractography algorithms and regularization approaches against tracer data in macaque cortex, but did not present analysis of downstream network measures.
“A recent study by Girard et al. (2020) rigorously benchmarked 15 tractography algorithms and a number of regularization approaches such as the “anatomically constrained tractography” framework (Smith et al., 2012) and the SIFT2 post-processing algorithm (Smith et al., 2015) against tracer data in the macaque cortex, though it did not present analysis of downstream network measures.”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites Girard et al. (2020) source
Probably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductreasoningOpting against SIFT2 provides a more direct comparison between our results and similar studies that used Allen tracer data without reference to spatial embedding.
“This also provides a more direct comparison between our results and those of similar studies that have used the Allen tracer data to benchmark tractography performance without reference to the role of spatial embedding (Aydogan et al., 2018; Calabrese et al., 2015; Chen et al., 2015).”
Quote in the paperNot a substantial claim3 of 3 sources checked- cites Aydogan et al., 2018 source
- cites Calabrese et al., 2015 source
- cites Chen et al., 2015 source
The Introduction and Methods §2.1 identify the Allen Mouse Brain Connectivity Atlas tracer data as the benchmark for evaluating DTI tractography. But Results §3.1 examines how streamline length affects accuracy, and §3.3 compares performance across anatomical locations. The description of the study as proceeding without reference to spatial factors is therefore too broad; the paper does not address the citing authors’ decision against SIFT2. (LLM, conf=0.82)
Experimental — accuracy not yet measured
The quote only partly states this claim.
Findingown dataBoth tractography methods show values significantly closer to 1 than the tracer graph does for empirical Q normalized by geometric surrogate Q.
“Both tractography methods show values significantly closer to 1 than the tracer graph does.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
May combine two claims.
Findingown dataBoth tractography methods show only weak correlation with the participation coefficient values from the corresponding tracer graph, but significantly stronger correlations with the values from their own geometric surrogates.
“Both tractography methods show only weak correlation with the values from the corresponding tracer graph, but significantly stronger correlations with the values from their own geometric surrogates.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
May combine two claims.
Findingown dataEndpoint tractography graphs place their hub nodes more geometrically central overall than the tracer graph, with distances from the center of mass comparable to their geometric surrogates.
“Endpoint tractography graphs also place their hub nodes more geometrically central overall than the tracer graph, with distances from the center of mass comparable to their geometric surrogates.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
May combine two claims.
Findingown dataThe differences in standard deviation between tractography and tracers were only statistically significant between around 3-15 mm for endpoint node assignment and for a smaller range around 4-6 mm for dense node assignment.
“though these differences were only statistically significant between around 3–15 mm for endpoint node assignment and for a smaller range around 4–6 mm for dense node assignment.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data17% of the total tracer hub strength was located along the isocortex, while no isocortex nodes in either of the tractography graphs were identified as hubs.
“17% of the total tracer hub strength was located along the isocortex, while no isocortex nodes in either of the tractography graphs were identified as hubs.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataDense tractography places its hubs closer to the center of the brain than the tracer graph does, and also places its hubs slightly more central than its own geometric surrogates.
“dense tractography not only places its hubs closer to the center of the brain than the tracer graph does, but also places its hubs slightly more central than its own geometric surrogates.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
May combine two claims.
Findingown dataDense node assignment led to higher Spearman correlations than endpoints for nearly all connections to the pons, and for connections between the hypothalamus, midbrain, and medulla.
“Dense node assignment led to higher Spearman correlations than endpoints for nearly all connections to the pons, and for connections between the hypothalamus, midbrain, and medulla.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataEmpirical tractography graphs place the strongest nodes deeper towards the center of the brain compared to the tracer graph, with hubs organized into a ball-like structure comparable to their corresponding geometric surrogates.
“Empirical tractography graphs, however, place the strongest nodes deeper towards the center of the brain compared to the tracer graph, with hubs organized into a ball-like structure comparable to their corresponding geometric surrogates.”
- Also stated in: § Abstract · plain
“tractography to place network hubs close to the geometric center of the brain, as do corresponding tractography-derived random geometric surrogates”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Also stated in: § Abstract · plain
May combine two claims.
Findingown dataThe mouse brain network as measured with tracer data places its hub nodes further towards the periphery of the brain than would be predicted by geometry alone, with the strongest nodes located across the isocortex, medulla, and inferior hypothalamus.
“we find the expected result that the mouse brain network as measured with tracer data places its hub nodes further towards the periphery of the brain than would be predicted by geometry alone, with the strongest nodes located across the isocortex, medulla, and inferior hypothalamus.”
- Also stated in: § Abstract · plain
“tracer graphs place hubs further into peripheral areas of the cortex”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- Also stated in: § Abstract · plain
May combine two claims.
Findingown dataAll tractography methods showed relatively high correlations in ipsilateral intra-division connectivity and weaker contralateral connectivity to homologous regions.
“All tractography methods showed relatively high correlations in ipsilateral intra-division connectivity (diagonals in Fig. 1e–f), and weaker contralateral connectivity to homologous regions”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataTractography graphs underestimated hub strength in the medulla and overestimated hub strength in the midbrain and thalamus, particularly for the dense node assignment strategy.
“Tractography graphs likewise underestimated hub strength in the medulla and overestimated hub strength in the midbrain and thalamus, particularly for the dense node assignment strategy.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationDiffusion MRI tractography is currently the only noninvasive method for mapping the human structural connectome.
“Diffusion MRI tractography is the only noninvasive method to measure the structural connectome in humans.”
- Also stated in: § Introduction · plain
“Diffusion MRI tractography is currently the only noninvasive method for mapping the human structural connectome (Yeh et al., 2020)”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Yeh et al., 2020
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Also stated in: § Introduction · plain
May combine two claims.
Interpretationown dataModular structure in the mouse structural brain network is both underestimated overall and more geometrically determined in tractography relative to neural tracer imaging.
“Overall, these results suggest that modular structure in the mouse structural brain network is both underestimated overall and more geometrically determined in tractography relative to neural tracer imaging.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
- The authors state this as an assumption: Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
- The authors state this as an assumption: The random surrogates Wrand represent the null hypothesis that topological properties of brain networks arise solely from the particular distribution of node strengths and locations.
May combine two claims.
InterpretationreasoningThis conflation biases the estimated modular structure and the architecture of hub subnetworks.
“Tractography graphs underestimate connectivity weights at long distances, leading to a conflation of topological and geometric centrality that biases the estimated modular structure and the architecture of hub subnetworks.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationEmpirical human tractography graphs exhibit a more peripheral hub network structure than predicted by their corresponding geometric surrogate graphs.
“For example, Roberts et al. (2016) demonstrated that empirical human tractography graphs exhibit a more peripheral hub network structure than predicted by their corresponding geometric surrogate graphs, similar to our tracer results in Fig. 6 and in contrast to what we observed with tractography networks.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Roberts et al. (2016) source
May combine two claims.
Premisenone givenThe Knox et al. model has been shown to outperform the homogeneous model originally published in Oh et al. (2014) and produces a graph that is nearly 100% fully connected at the scale of the parcellation used in this study.
“The Knox et al. model has been shown to outperform the homogeneous model originally published in Oh et al. (2014) and produces a graph that is nearly 100% fully connected at the scale of the parcellation used in this study.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Oh et al., 2014
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
PremisecitationThe Knox et al. model provides estimates of connectivity at the scale of 100 μm isotropic voxels in the Allen Mouse Brain Common Coordinate Framework (CCF v3), and is derived from 428 whole-brain anterograde fluorescent viral tracer experiments in wild-type C57BL/6J mice.
“The Knox et al. model provides estimates of connectivity at the scale of 100 μm isotropic voxels in the Allen Mouse Brain Common Coordinate Framework (CCF v3), and is derived from 428 whole-brain anterograde fluorescent viral tracer experiments in wild-type C57BL/6J mice collected for the Allen Mouse Brain Connectivity Atlas (Oh et al., 2014).”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Knox et al.
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Oh et al., 2014
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe human brain places its strongest nodes further into geometrically peripheral regions than would be expected by weight-distance effects alone.
“Previous work with human tractography datasets (Roberts et al., 2016) has revealed that the human brain places its strongest nodes further into geometrically peripheral regions than would be expected by weight-distance effects alone.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Roberts et al., 2016 source
May combine two claims.
Study design and conductreasoningThe physical interpretation of edge weights differs between modalities, so direct comparison of the edge-weight means between modalities is not meaningful.
“Note that the physical interpretation of edge weights differs between modalities, so direct comparison of the edge-weight means between modalities is not meaningful.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationData from the Allen Institute Mouse Brain Connectivity Atlas form the most comprehensive whole-brain mesoscale brain network in a mammalian species.
“Data from the Allen Institute Mouse Brain Connectivity atlas (Oh et al., 2014) form the most comprehensive whole-brain mesoscale brain network in a mammalian species”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Oh et al., 2014
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Study design and conductown dataTransformed weights show effectively zero correlation with fiber distance using both Pearson and Spearman correlation coefficients, indicating that low-order distance relationships have been effectively removed prior to randomization for the construction of the geometric surrogate graphs.
“Transformed weights (Figure S2c) show effectively zero correlation with fiber distance using both Pearson and Spearman correlation coefficients, indicating that low-order distance relationships have been effectively removed prior to randomization for the construction of the geometric surrogate graphs.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningEnforcing constraints on streamline termination penalizes unrealistic fiber geometries or lower-confidence diffusion data but does not yield a physical sense of the actual origin or termination points of underlying neuronal fibers.
“When streamlines are made to terminate under reasonably enforced constraints such as on fODF magnitude or streamline curvature, this enforces a penalty on unrealistic fiber geometries or the use of lower-confidence diffusion data, but does not yield a physical sense of the actual origin or termination points of the underlying neuronal fibers.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Study design and conductnone givenNormalizing streamline counts by volumes of each node-pair better matches the normalized connection density metric used in the Knox et al. model.
“For the data used in this study, we took the approach of seeding only from the gray matter to avoid known tract-length connectivity biases (Girard et al., 2014; Jeurissen et al., 2019), and normalized the streamline counts by the volumes of each node-pair in order to better match the normalized connection density metric used in the Knox et al. model.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
The authors state this as an assumption.
Network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.
“We make the assumption that network properties that are preserved in the geometric surrogate graphs represent those that have been inherited from the spatial embedding of the brain.”
The authors state this as an assumption.
Differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.
“Likewise, we assume that differences in network properties between empirical and geometric surrogate graphs represent the extent to which those properties arise from other, non-geometric factors.”
The authors state this as an assumption.
The geometric surrogates Wgeo represent the null hypothesis that topological properties of brain networks arise from the falloff of edge weights with distance for a given node-strength distribution.
“The geometric surrogates Wgeo represent the null hypothesis that topological properties of brain networks arise from the falloff of edge weights with distance for a given node-strength distribution”
The authors state this as an assumption.
The random surrogates Wrand represent the null hypothesis that topological properties of brain networks arise solely from the particular distribution of node strengths and locations.
“while the random surrogates Wrand represent the null hypothesis that topological properties of brain networks arise solely from the particular distribution of node strengths and locations.”
The authors state this as an assumption.
The tracer-derived network is a significantly higher-fidelity representation of the true mesoscale connectome of the mouse brain.
“taking the tracer-derived network as a significantly higher-fidelity representation of the true mesoscale connectome of the mouse brain.”
The authors state this as an assumption.
The tracer data is a ground truth representation of the underlying mesoscale mouse brain network architecture.
“The results in this study rely on the assumption of the tracer data as a ground truth representation of the underlying mesoscale mouse brain network architecture.”
Cites
Fast unfolding of communities in large networks
Blondel, V. D., Guillaume, J.-L., Lambiotte, R., & Lefebvre, E. (2008) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2008/10/p10008 · Cited by 21,424 · see citing works
Complex network measures of brain connectivity: Uses and interpretations
Rubinov, M., & Sporns, O. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2009.10.003 · Cited by 11,522 · see citing works
Exploring Network Structure, Dynamics, and Function Using NetworkX
Hagberg, A. A., Schult, D. A., & Swart, P. J. (2008) · Proceedings of the Python in Science Conference · doi:10.25080/tcwv9851 · Cited by 7,477 · cited 1× · see citing works
“All analysis was performed in Python, with graph theoretical measures calculated using the networkx package (Hagberg et al., 2008).”
MethodMR diffusion tensor spectroscopy and imaging
Basser, P. J., Mattiello, J., & LeBihan, D. (1994) · Biophysical Journal · doi:10.1016/s0006-3495(94)80775-1 · Cited by 5,970 · see citing works
Avants, B., Epstein, C. L., Grossman, M., & Gee, J. C. (2007) · Medical Image Analysis · doi:10.1016/j.media.2007.06.004 · Cited by 5,618 · see citing works
Efficient behavior of small-world networks
Latora, V., & Marchiori, M. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.198701 · Cited by 5,119 · see citing works
Basser, P. J., & Pierpaoli, C. (1996) · Journal of Magnetic Resonance, Series B · doi:10.1006/jmrb.1996.0086 · Cited by 4,306 · see citing works
The economy of brain network organization
Bullmore, E., & Sporns, O. (2012) · Nature Reviews Neuroscience · doi:10.1038/nrn3214 · Cited by 3,284 · see citing works
The Human Connectome: A Structural Description of the Human Brain
Sporns, O., Tononi, G., & Kötter, R. (2005) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0010042 · Cited by 3,260 · see citing works
MRtrix3: A fast, flexible and open software framework for medical image processing and visualisation
Tournier, J.-D., Smith, R., Raffelt, D., Tabbara, R., Dhollander, T., Pietsch, M., Christiaens, D., Jeurissen, B., Yeh, C.-H., & Connelly, A. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2019.116137 · Cited by 2,974 · see citing works
A mesoscale connectome of the mouse brain
Oh, S. W., Harris, J. A., Ng, L., Winslow, B., Cain, N., Mihalas, S., Wang, Q., Lau, C., Kuan, L., Henry, A. M., et al. (2014) · Nature · doi:10.1038/nature13186 · Cited by 2,612 · see citing works
Newman, M. E. J. (2004) · Physical Review E · doi:10.1103/physreve.70.056131 · Cited by 2,483 · see citing works
Evaluation of 14 nonlinear deformation algorithms applied to human brain MRI registration
Klein, A., Andersson, J., Ardekani, B. A., Ashburner, J., Avants, B., Chiang, M.-C., Christensen, G. E., Collins, D. L., Gee, J., Hellier, P., et al. (2009) · NeuroImage · doi:10.1016/j.neuroimage.2008.12.037 · Cited by 2,227 · see citing works
Tournier, J., Calamante, F., & Connelly, A. (2007) · NeuroImage · doi:10.1016/j.neuroimage.2007.02.016 · Cited by 2,191 · see citing works
Network hubs in the human brain
van den Heuvel, M. P., & Sporns, O. (2013) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2013.09.012 · Cited by 2,123 · cited 1× · see citing works
“…et al., 2018; Yeh et al., 2020 ), tractography studes have helped reveal a number of important network properties in the uman brain such as efficiency ( Latora and Marchiori, 2001 ), modu- arity ( Sporns and Betzel, 2016 ), and the organization of network hubs van den Heuvel and Sporns, 2013 ).”
BackgroundDenoising of diffusion MRI using random matrix theory
Veraart, J., Novikov, D. S., Christiaens, D., Ades-aron, B., Sijbers, J., & Fieremans, E. (2016) · NeuroImage · doi:10.1016/j.neuroimage.2016.08.016 · Cited by 1,905 · see citing works
Tournier, J.-D., Calamante, F., Gadian, D. G., & Connelly, A. (2004) · NeuroImage · doi:10.1016/j.neuroimage.2004.07.037 · Cited by 1,635 · see citing works
Tractography-based connectomes are dominated by false-positive connections
Maier-Hein, K. H., Neher, P., Houde, J.-C., Côté, M.-A., Garyfallidis, E., Zhong, J., Chamberland, M., Yeh, F.-C., Lin, Y.-C., Ji, Q., et al. (2016) · doi:10.1101/084137 · Cited by 1,361 · see citing works
Sporns, O., & Betzel, R. F. (2016) · Annual Review of Psychology · doi:10.1146/annurev-psych-122414-033634 · Cited by 1,334 · see citing works
Smith, R. E., Tournier, J.-D., Calamante, F., & Connelly, A. (2012) · NeuroImage · doi:10.1016/j.neuroimage.2012.06.005 · Cited by 1,216 · see citing works
The Human Connectome Project's neuroimaging approach
Glasser, M. F., Smith, S. M., Marcus, D. S., Andersson, J. L. R., Auerbach, E. J., Behrens, T. E. J., Coalson, T. S., Harms, M. P., Jenkinson, M., Moeller, S., et al. (2016) · Nature Neuroscience · doi:10.1038/nn.4361 · Cited by 1,090 · see citing works
A Weighted and Directed Interareal Connectivity Matrix for Macaque Cerebral Cortex
Markov, N. T., Ercsey-Ravasz, M. M., Ribeiro Gomes, A. R., Lamy, C., Magrou, L., Vezoli, J., Misery, P., Falchier, A., Quilodran, R., Gariel, M. A., et al. (2014) · Cerebral Cortex · doi:10.1093/cercor/bhs270 · Cited by 857 · see citing works
Development of large-scale functional brain networks in children
Supekar, K., Musen, M., & Menon, V. (2009) · PLoS Biology · doi:10.1371/journal.pbio.1000157 · Cited by 807 · see citing works
Diffusion MRI noise mapping using random matrix theory
Veraart, J., Fieremans, E., & Novikov, D. S. (2015) · Magnetic Resonance in Medicine · doi:10.1002/mrm.26059 · Cited by 793 · see citing works
Smith, R. E., Tournier, J., Calamante, F., & Connelly, A. (2015) · NeuroImage · doi:10.1016/j.neuroimage.2015.06.092 · Cited by 758 · see citing works
Cartography of complex networks: modules and universal roles
Guimerà, R., & Amaral, L. A. N. (2005) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2005/02/p02001 · Cited by 757 · see citing works
Thomas, C., Ye, F. Q., Irfanoglu, M. O., Modi, P., Saleem, K. S., Leopold, D. A., & Pierpaoli, C. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1405672111 · Cited by 725 · see citing works
Raffelt, D., Tournier, J.-D., Rose, S., Ridgway, G., Henderson, R., Crozier, S., Salvado, O., & Connelly, A. (2012) · NeuroImage · doi:10.1016/j.neuroimage.2011.10.045 · Cited by 616 · see citing works
Diffusion MRI fiber tractography of the brain
Jeurissen, B., Descoteaux, M., Mori, S., & Leemans, A. (2019) · NMR in Biomedicine · doi:10.1002/nbm.3785 · Cited by 574 · see citing works
A Predictive Network Model of Cerebral Cortical Connectivity Based on a Distance Rule
Ercsey-Ravasz, M., Markov, N. T., Lamy, C., Van Essen, D. C., Knoblauch, K., Toroczkai, Z., & Kennedy, H. (2013) · Neuron · doi:10.1016/j.neuron.2013.07.036 · Cited by 487 · see citing works
A tutorial in connectome analysis: Topological and spatial features of brain networks
Kaiser, M. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2011.05.025 · Cited by 371 · see citing works
Measuring macroscopic brain connections in vivo
Jbabdi, S., Sotiropoulos, S. N., Haber, S. N., Van Essen, D. C., & Behrens, T. E. (2015) · Nature Neuroscience · doi:10.1038/nn.4134 · Cited by 334 · see citing works
Towards quantitative connectivity analysis: reducing tractography biases
Girard, G., Whittingstall, K., Deriche, R., & Descoteaux, M. (2014) · NeuroImage · doi:10.1016/j.neuroimage.2014.04.074 · Cited by 324 · see citing works
Structural connectomics in brain diseases
Griffa, A., Baumann, P., Thiran, J., & Hagmann, P. (2013) · NeuroImage · doi:10.1016/j.neuroimage.2013.04.056 · Cited by 306 · see citing works
Limits to anatomical accuracy of diffusion tractography using modern approaches
Schilling, K. G., Nath, V., Hansen, C., Parvathaneni, P., Blaber, J., Gao, Y., Neher, P., Aydogan, D. B., Shi, Y., Ocampo-Pineda, M., et al. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2018.10.029 · Cited by 260 · see citing works
Architecture of the cerebral cortical association connectome underlying cognition
Bota, M., Sporns, O., & Swanson, L. W. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1504394112 · Cited by 231 · see citing works
A diffusion MRI tractography connectome of the mouse brain and comparison with neuronal tracer data
Calabrese, E., Badea, A., Cofer, G., Qi, Y., & Johnson, G. A. (2015) · Cerebral Cortex · doi:10.1093/cercor/bhv121 · Cited by 221 · see citing works
Wiring cost and topological participation of the mouse brain connectome
Rubinov, M., Ypma, R. J. F., Watson, C., & Bullmore, E. T. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1420315112 · Cited by 219 · see citing works
The contribution of geometry to the human connectome
Roberts, J. A., Perry, A., Lord, A. R., Roberts, G., Mitchell, P. B., Smith, R. E., Calamante, F., & Breakspear, M. (2016) · NeuroImage · doi:10.1016/j.neuroimage.2015.09.009 · Cited by 213 · see citing works
The importance of the whole: Topological data analysis for the network neuroscientist
Sizemore, A. E., Phillips‐Cremins, J. E., Ghrist, R., & Bassett, D. S. (2018) · Network Neuroscience · doi:10.1162/netn_a_00073 · Cited by 207 · see citing works
Gămănuț, R., Kennedy, H., Toroczkai, Z., Ercsey-Ravasz, M., Essen, D. C. V., Knoblauch, K., & Burkhalter, A. (2018) · Neuron · doi:10.1016/j.neuron.2017.12.037 · Cited by 202 · see citing works
Horvát, S., Gămănuț, R., Ercsey-Ravasz, M., Magrou, L., Gămănuț, B., Van Essen, D. C., Burkhalter, A., Knoblauch, K., Toroczkai, Z., & Kennedy, H. (2016) · PLoS Biology · doi:10.1371/journal.pbio.1002512 · Cited by 198 · see citing works
Mapping Structural Connectivity Using Diffusion <scp>MRI</scp> : Challenges and Opportunities
Yeh, C., Jones, D. K., Liang, X., Descoteaux, M., & Connelly, A. (2021) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.27188 · Cited by 187 · cited 4× · see citing works
“Together with mathematical tools from graph theory (Kaiser, 2011; Rubinov and Sporns, 2010; Sizemore et al., 2018; Yeh et al., 2020), tractography studies have helped reveal a number of important network properties in the human brain such as efficiency (Latora and Marchiori, 2001), modularity (Sporns and Betzel, 2016)…”
MethodInfluentialReorientation of fiber orientation distributions using apodized point spread functions
Raffelt, D., Tournier, J.-D., Crozier, S., Connelly, A., & Salvado, O. (2012) · Magnetic Resonance in Medicine · doi:10.1002/mrm.23058 · Cited by 132 · see citing works
High-resolution data-driven model of the mouse connectome
Knox, J. E., Harris, K. D., Graddis, N., Whitesell, J. D., Zeng, H., Harris, J. A., Shea‐Brown, E., & Mihalaş, Ş. (2018) · Network Neuroscience · doi:10.1162/netn_a_00066 · Cited by 113 · see citing works
Network structure of the mouse brain connectome with voxel resolution
Coletta, L., Pagani, M., Whitesell, J. D., Harris, J. A., Bernhardt, B. C., & Gozzi, A. (2020) · Science Advances · doi:10.1126/sciadv.abb7187 · Cited by 107 · see citing works
Can increased spatial resolution solve the crossing fiber problem for diffusion MRI?
Schilling, K., Gao, Y., Janve, V., Stepniewska, I., Landman, B. A., & Anderson, A. W. (2017) · NMR in Biomedicine · doi:10.1002/nbm.3787 · Cited by 102 · see citing works
Girard, G., Caminiti, R., Battaglia-Mayer, A., St-Onge, E., Ambrosen, K. S., Eskildsen, S. F., Krug, K., Dyrby, T. B., Descoteaux, M., Thiran, J.-P., et al. (2020) · NeuroImage · doi:10.1016/j.neuroimage.2020.117201 · Cited by 83 · see citing works
Aydogan, D. B., Jacobs, R., Dulawa, S., Thompson, S. L., Francois, M. C., Toga, A. W., Dong, H., Knowles, J. A., & Shi, Y. (2018) · Brain Structure and Function · doi:10.1007/s00429-018-1663-8 · Cited by 72 · see citing works
Chen, H., Liu, T., Zhao, Y., Zhang, T., Li, Y., Li, M., Zhang, H., Kuang, H., Guo, L., Tsien, J. Z., et al. (2015) · NeuroImage · doi:10.1016/j.neuroimage.2015.04.050 · Cited by 46 · see citing works
Henderson, J. A., & Robinson, P. A. (2013) · Brain Connectivity · doi:10.1089/brain.2013.0151 · Cited by 42 · see citing works
Ypma, R. J. F., & Bullmore, E. T. (2016) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1005104 · Cited by 35 · cited 1× · see citing works
“Initial modeling of the Allen Institute ata estimated cortical density to vary from 32–52% ( Oh et al., 2014 ) o 59–73% ( Ypma and Bullmore, 2016 ).”
MethodDependence of connectivity on geometric distance in brain networks
Perinelli, A., Tabarelli, D., Miniussi, C., & Ricci, L. (2019) · Scientific Reports · doi:10.1038/s41598-019-50106-2 · Cited by 23 · see citing works
What we can and cannot tell about the wiring of the human brain
Passingham, R. E. (2013) · NeuroImage · doi:10.1016/j.neuroimage.2013.01.010 · Cited by 12 · see citing works
Mapping Structural Connectivity Using Diffusion MRI : Challenges and Opportunities
Yeh, C., Jones, D. K., Liang, X., et al. (2021) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.27225 · Cited by 6 · see citing works
Foxley, S., Wildenberg, G. A., Sampathkumar, V., Karczmar, G. S., Brugarolas, P., & Kasthuri, N. (2020) · Magnetic Resonance in Medicine · doi:10.1002/mrm.28440 · Cited by 2 · see citing works
Self-citation
Flagged first, then by citations
3 of the 59 references couldn’t be matched to a known paper.
Research works printed but not linked: 1
- Tournier, 2010, Improved probabilistic streamlines tractography by 2nd order integration over fibre orientation distributions, Proc. Int. Soc.Magn. Reson. Med., 1670
Cited by
Sorted by citations
Benchmarking methods for mapping functional connectivity in the brain
Liu, Z.-Q., Luppi, A. I., Hansen, J. Y., Tian, Y., Zalesky, A., Yeo, B. T. T., Fulcher, B., & Mišić, B. (2025) · Nature Methods · doi:10.1038/s41592-025-02704-4 · Cited by 50 · see citing works
“The weight–distance relationship, reported not only for FC-fMRI but also for diffusion MRI 44,65 , and tract tracing in multiple species 66 , is captured by most methods, but the magnitude of the effect varies considerably.”
Towards reliable reconstruction of the mouse brain corticothalamic connectivity using diffusion MRI
Arefin, T. M., Lee, C. H., Liang, Z., Rallapalli, H., Wadghiri, Y. Z., Turnbull, D. H., & Zhang, J. (2023) · NeuroImage · doi:10.1016/j.neuroimage.2023.120111 · Cited by 17 · see citing works
Connectome topology of mammalian brains and its relationship to taxonomy and phylogeny
Faskowitz, J., Puxeddu, M. G., van den Heuvel, M. P., Mišić, B., Yovel, Y., Assaf, Y., Betzel, R. F., & Sporns, O. (2023) · Frontiers in Neuroscience · doi:10.3389/fnins.2022.1044372 · Cited by 9 · see citing works
“The reconstruction of white matter tracts via streamline tractography is influenced by spatial embedding (Donahue et al., 2016; Shen et al., 2019; Trinkle et al., 2021) and orientation (e.”
BackgroundPrenatal heroin exposure alters brain morphology and connectivity in adolescent mice
Hornburg, K. J., Slosky, L. M., Cofer, G. P., Cook, J., Qi, Y. P., Porkka, F., Clark, N. B., Pires, A., Petrella, J. R., WHITE, L. E., et al. (2022) · NMR in Biomedicine · doi:10.1002/nbm.4842 · Cited by 7 · see citing works
“We have previously demonstrated that the higher spatial/angular resolution reduces the false positives,(42) and these results are consistent with more recent studies.(51) The resolution index, which is the product of spatial and angular resolution, can give one a sense of the quality of the connectomes in this study.”
ResultDistance-dependent connectivity in the brain facilitates high dynamical and structural complexity
Barranca, V. J. (2025) · Cognitive Neurodynamics · doi:10.1007/s11571-025-10398-9 · Cited by 4 · see citing works
“Human and mouse brains also appear to demonstrate connectivity strengths that decay with physical distance (Perinelli et al. 2019; Song et al. 2014; Trinkle et al. 2021; Rubinov et al. 2015), but more detailed and large-scale connectome data is still necessary to fully characterize the strength…”
Deterministic Tractography Analysis of Rat Brain Using SIGMA Atlas in 9.4T MRI
Im, S.-J., Suh, J., Shim, J., & Baek, H. (2021) · Brain Sciences · doi:10.3390/brainsci11121656 · Cited by 1 · see citing works
“In previous studies, excellent performance results of tractography were reported when comparing neuroanatomical tracer data and tractography [58].”
ResultTowards reliable reconstruction of the mouse brain thalamocortical connectivity using diffusion MRIPreprint
Arefin, T. M., Lee, C. H., Liang, Z., Rallapalli, H., Wadghiri, Y. Z., Turnbull, D. H., & Zhang, J. (2022) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2022.12.28.522151
“(Trinkle et al., 2021) compared connectomes based on AMBCA and dMRI data and revealed considerable differences between them, in particular, the lack of connections in the thalamocortical network.”
BackgroundGraph-Based White Matter Tractometry: Methods, Applications, and the Path to Validation
Li, J., Zhang, C., Wan, Z., Xie, Y., Zhang, H., Liu, X., & Wu, Y. N. (2026) · Neuroinformatics · doi:10.1007/s12021-026-09804-2
“Topological errors mean that branching patterns, community structures, and path-based metrics computed on tractography-derived graphs do not necessarily reflect true anatomical organization (Drobnjak et al., 2021; Shailja, Chen et al. 2023a, b; Trinkle et al. 2021).”
- Authors
- Trinkle, S., Foxley, S., Wildenberg, G., Kasthuri, N., & La Rivière, P.
- Affiliations
- University of Chicago (US)
- Corresponding author
- Trinkle, Scott
- Venue
- NeuroImage
- Publisher
- Elsevier BV
- Published
- 2021-12
- Volume
- 244
- Pages
- 118576
- ISSN
- 1053-8119 (ISSN-L)
- PMC
- PMC8611903
- OpenAlex
- W3200881363
- Cited by
- 8
- References
- 59
- Citations by year
- 2026: 1 · 2025: 2 · 2023: 2 · 2022: 2 · 2021: 1
- FWCI
- 0.61
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- NeuroImage (publishedVersion, cc-by)
- PubMed (publishedVersion)
- PubMed Central (submittedVersion, cc-by)
- Knowledge@UChicago (University of Chicago) (submittedVersion)
- Knowledge@UChicago (University of Chicago) (submittedVersion, cc-by-nc-nd)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- University of Chicago
- University of Chicago (cc-by)
- Funders
- National Institutes of Health (F31NS113571, P30CA14599, R01EB026300, S10OD025081, S10RR021039, U01MH109100)
- Topics
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
- Life Sciences › Neuroscience › Cognitive Neuroscience › Functional Brain Connectivity Studies
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
- Keywords
- spatial embedding, diffusion tractography, mouse brain, random geometric graphs, network hubs, network modularity, network efficiency, Allen Mouse Brain Connectivity Atlas
- MeSH terms
- Animals, Brain, Cerebral Cortex, Mice, Diffusion Tensor Imaging, Connectome
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-11.
Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-11.
Cited sources are checked by gpt-6-sol.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review