Cited by 1Neural dynamics and brain functionNeuroscience and Neuropharmacology ResearchIon channel regulation and function

Conductance relationships across compartments associated with bursting output in a model of a motor neuron in the crustacean cardiac ganglion

Open access
Dopp, Daniel P., Samarth, Pranit S., Wang, Jing, Kick, Daniel Robert, Schulz, David J., Nair, Satish S.·2026·Journal of Neurophysiology

Abstract

Our results support the hypotheses that, despite being prevalent in biological neurons, correlated membrane conductances are not a necessary feature of synaptically driven bursting in CPG motor neurons and averaging conductances across motor neurons in a network can maintain biologically realistic output. Our results may be most relevant to similar networks, where “forced bursting” is a result of highly interconnected neurons with strong synaptic input organizing the output.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1152/jn.00324.2024

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The 2-7 fold variations in mRNA expression are captured in computational models with degenerate solutions.

    “and this is captured in computational models with degenerate solutions [18,31-34]”

    From A feature and not a bug: Replication failures can lead to new biology (2026) · cites this paper as [31]

    The Introduction says computational models can produce similar activity from many different conductance parameter sets, supporting the point about degenerate solutions. It reports two- to six-fold variation in maximal conductances, not two- to seven-fold variation in mRNA expression, and does not say the models capture that mRNA range. (LLM, conf=0.85)

    Experimental — accuracy not yet measured
  • In computational models it is feasible to examine the structures of the parameter spaces that contribute to an output or a physiological state.

    “In computational models it is feasible to examine the structures of the parameter spaces that contribute to an output or a physiological state [31,42,46,47].”
  • Correlations that are present in biological data from the large cells are not necessary for model function.

    “Interestingly, they demonstrate that correlations that are present in biological data from the large cells are not necessary for model function.”
  • Averaging need not fail, and the average properties of multiple neurons within a functional circuit may be an excellent predictor of the circuit's function.

    “Of course, averaging need not fail, and the average properties of multiple neurons within a functional circuit may be an excellent predictor of the circuit's function [31].”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

No references could be resolved yet.

Research works printed but not linked: 49

  1. [1]Marder E (2011) Variability, compensation, and modulation in neurons and circuits, Proc Natl Acad Sci USA 108 Suppl 3, 15542– 15548. 21383190 PMC3176600
  2. [2]Prinz AA, Billimoria CP, Marder E (2003) Alternative to hand-tuning conductance-based models: Construction and analysis of databases of model neurons, J Neurophysiol 90, 3998– 4015. 12944532
  3. [3]Goaillard JM, Taylor AL, Schulz DJ, Marder E (2009) Functional consequences of animal-to-animal variation in circuit parameters, Nat Neurosci 12, 1424– 1430. 19838180 PMC2826985
  4. [4]MacLean JN, Zhang Y, Goeritz ML, Casey R, Oliva R, Guckenheimer J, Harris-Warrick RM (2005) Activity-independent coregulation of ia and ih in rhythmically active neurons, J Neurophysiol 94, 3601– 3617. 16049145
  5. [5]Khorkova O, Golowasch J (2007) Neuromodulators, not activity, control coordinated expression of ionic currents, J Neurosci 27, 8709– 8718. 17687048 PMC3558984
  6. [6]Schulz DJ, Goaillard J-M, Marder E (2006) Variable channel expression in identified single and electrically coupled neurons in different animals, Nat Neurosci 9, 356– 362. 16444270
  7. [7]Schulz DJ, Goaillard J-M, Marder EE (2007) Quantitative expression profiling of identified neurons reveals cell-specific constraints on highly variable levels of gene expression, Proc Natl Acad Sci USA 104, 13187– 13191. 17652510 PMC1933263
  8. [8]Swensen AM, Bean BP (2005) Robustness of burst firing in dissociated purkinje neurons with acute or long-term reductions in sodium conductance, J Neurosci 25, 3509– 3520. 15814781 PMC6725377
  9. [9]Marder E, Goaillard J-M (2006) Variability, compensation and homeostasis in neuron and network function, Nat Rev Neurosci 7, 563– 574. 16791145
  10. [10]Goldman MS, Golowasch J, Marder E, Abbott LF (2001) Global structure, robustness, and modulation of neuronal models, J Neurosci 21, 5229– 5238. 11438598 PMC6762863
  11. [11]Tobin AE, Van Hooser SD, Calabrese RL (2006) Creation and reduction of a morphologically detailed model of a leech heart interneuron, J Neurophysiol 96, 2107– 2120. 16760352 PMC2897741
  12. [12]Olypher AV, Calabrese RL (2007) Using constraints on neuronal activity to reveal compensatory changes in neuronal parameters, J Neurophysiol 98, 3749– 3758. 17855581
  13. [13]Gunay C, Edgerton JR, Jaeger D (2008) Channel density distributions explain spiking variability in the globus pallidus: A combined physiology and computer simulation database approach, J Neurosci 28, 7476– 7491. 18650326 PMC5771640
  14. [14]Taylor AL, Goaillard J-M, Marder E (2009) How multiple conductances determine electrophysiological properties in a multicompartment model, J Neurosci 29, 5573– 5586. 19403824 PMC2821064
  15. [15]Ball JM, Franklin CC, Tobin A-E, Schulz DJ, Nair SS (2010) Coregulation of ion channel conductances preserves output in a computational model of a crustacean cardiac motor neuron, J Neurosci 30, 8637– 8649. 20573909 PMC4473856
  16. [16]Franklin CC, Ball JM, Schulz DJ, Nair SS (2010) Generation and preservation of the slow underlying membrane potential oscillation in model bursting neurons, J Neurophysiol 104, 1589– 1602. 20592116
  17. [17]Olypher AV, Prinz AA (2010) Geometry and dynamics of activity-dependent homeostatic regulation in neurons, J Comput Neurosci 28, 361– 374. 20143143 PMC2881194
  18. [18]Marder E, Taylor AL (2011) Multiple models to capture the variability in biological neurons and networks, Nat Neurosci 14, 133– 138. 21270780 PMC3686573
  19. [19]Günay C, Doloc-Mihu A, Lamb DG, Calabrese RL (2019) Synaptic strengths dominate phasing of motor circuit: Intrinsic conductances of neuron types need not vary across animals, eneuro 6, ENEURO.0417-0418.2019. PMC6709225 31270128
  20. [20]Lamb DG, Calabrese RL (2013) Correlated conductance parameters in leech heart motor neurons contribute to motor pattern formation, PLoS One 8, e79267. 24260181 PMC3832487
  21. [21]Lane BJ, Samarth P, Ransdell JL, Nair SS, Schulz DJ (2016) Synergistic plasticity of intrinsic conductance and electrical coupling restores synchrony in an intact motor network, eLife 5, e16879. 27552052 PMC5026470
  22. [22]Tobin A-E, Cruz-Bermúdez ND, Marder E, Schulz DJ (2009) Correlations in ion channel mrna in rhythmically active neurons, PLoS One 4, e6742. 19707591 PMC2727049
  23. [23]O’Leary T, Williams AH, Franci A, Marder E (2014) Cell types, network homeostasis, and pathological compensation from a biologically plausible ion channel expression model, Neuron 82, 809– 821. 24853940 PMC4109293
  24. [24]Ransdell JL, Nair SS, Schulz DJ (2012) Rapid homeostatic plasticity of intrinsic excitability in a central pattern generator network stabilizes functional neural network output, J Neurosci 32, 9649– 9658. 22787050 PMC6622259
  25. [25]Ransdell JL, Temporal S, West NL, Leyrer ML, Schulz DJ (2013) Characterization of inward currents and channels underlying burst activity in motoneurons of crab cardiac ganglion, J Neurophysiol 110, 42– 54. 23576706
  26. [26]Cruz-Bermúdez ND, Marder E (2007) Multiple modulators act on the cardiac ganglion of the crab cancer borealis, J Exp Biol 210, 2873– 2884. 17690236
  27. [27]Ransdell JL, Nair SS, Schulz DJ (2013) Neurons within the same network independently achieve conserved output by differentially balancing variable conductance magnitudes, J Neurosci 33, 9950– 9956. 23761890 PMC6618398
  28. [28]O’Leary T, Williams AH, Caplan JS, Marder E (2013) Correlations in ion channel expression emerge from homeostatic tuning rules, Proc Natl Acad Sci USA 110, E2645– E2654. 23798391 PMC3710808
  29. [29]Zhao S, Golowasch J (2012) Ionic current correlations underlie the global tuning of large numbers of neuronal activity attributes, J Neurosci 32, 13380– 13388. 23015428 PMC3541048
  30. [30]Golowasch J, Goldman MS, Abbott LF, Marder E (2002) Failure of averaging in the construction of a conductance-based neuron model, J Neurophysiol 87, 1129– 1131. 11826077
  31. [31]Santin JM, Schulz DJ (2019) Membrane voltage is a direct feedback signal that influences correlated ion channel expression in neurons, Curr Biol 29, 1683– 1688.e1682. 31080077 PMC6677403
  32. [32]Temporal S, Lett Kawasi M, Schulz David J (2014) Activity-dependent feedback regulates correlated ion channel mrna levels in single identified motor neurons, Curr Biol 24, 1899– 1904. 25088555
  33. [33]Viteri JA, Schulz DJ (2023) Motor neurons within a network use cell-type specific feedback mechanisms to constrain relationships among ion channel mrnas, J Neurophysiol 130, 569– 584. 37529838 PMC11550874
  34. [34]Tran T, Unal CT, Severin D, Zaborszky L, Rotstein HG, Kirkwood A, Golowasch J (2019) Ionic current correlations are ubiquitous across phyla, Sci Rep 9, 1– 9. 30737430 PMC6368568
  35. [35]Kick DR, Schulz DJ (2022) Timing-dependent potentiation and depression of electrical synapses contribute to network stability in the crustacean cardiac ganglion, J Neurosci 42, 6751– 6760. 35868864 PMC9435965
  36. [37]Amendola J, Woodhouse A, Martin-Eauclaire M-F, Goaillard J-M (2012) Ca2+/camp-sensitive covariation of ia and ih voltage dependences tunes rebound firing in dopaminergic neurons, J Neurosci 32, 2166– 2181. 22323729 PMC6621702
  37. [38]Hudson AE, Prinz AA (2010) Conductance ratios and cellular identity, PLoS Comput Biol 6, e1000838. 20628472 PMC2895636
  38. [39]MacLean JN, Zhang Y, Johnson BR, Harris-Warrick RM (2003) Activity-independent homeostasis in rhythmically active neurons, J Neurophysiol 37, 109– 120. 12526777
  39. [41]Golowasch J, Marder E (1992) Ionic currents of the lateral pyloric neuron of the stomatogastric ganglion of the crab, J Neurophysiol 67, 318– 331. 1373762
  40. [42]Daur N, Nadim F, Bucher D (2016) The complexity of small circuits: The stomatogastric nervous system, Curr Opin Neurobiol 41, 1– 7. 27450880 PMC5270626
  41. [43]Marder E, Bucher D (2007) Understanding circuit dynamics using the stomatogastric nervous system of lobsters and crabs, Ann Rev Physiol 69, 291– 316. 17009928
  42. [44]Temporal S, Desai M, Khorkova O, Varghese G, Dai A, Schulz DJ, Golowasch J (2012) Neuromodulation independently determines correlated channel expression and conductance levels in motor neurons of the stomatogastric ganglion, J Neurophysiol 107, 718– 727. 21994267 PMC3349629
  43. [45]Tazaki K, Cooke IM (1979) Spontaneous electrical activity and interaction of large and small cells in cardiac ganglion of the crab, portunus sanguinolentus, J Neurophysiol 42, 975– 999. 225450
  44. [46]Rue MCP, Baas-Thomas N, Iyengar PS, Scaria LK, Marder E (2022) Localization of chemical synapses and modulatory release sites in the cardiac ganglion of the crab, cancer borealis, J Comp Neurol 530, 2954– 2965. 35882035 PMC9560961
  45. [47]Mirolli M, Cooke IM, Talbott SR, Miller MW (1987) Structure and localization of synaptic complexes in the cardiac ganglion of a portunid crab, J Neurocytol 16, 115– 130. 3585415
  46. [48]Tazaki K, Cooke I (1990) Characterization of ca current underlying burst formation in lobster cardiac ganglion motorneurons, J Neurophysiol 63. 2156025
  47. [49]Hines ML, Carnevale NT (1997) The neuron simulation environment, Neural Comput 9, 1179– 1209. 9248061
  48. [50]Ransdell JL, Temporal S, West NL, Leyrer ML, Schulz DJ (2013) Characterization of inward currents and channels underlying burst activity in motoneurons of crab cardiac ganglion, J Neurophysiol 110, 42– 54. 23576706
  49. [51]Williams AH, Kwiatkowski MA, Mortimer AL, Marder E, Zeeman ML, Dickinson PS (2013) Animal-to-animal variability in the phasing of the crustacean cardiac motor pattern: An experimental and computational analysis, J Neurophysiol 109, 2451– 2465. 23446690 PMC3653045

Cited by

Sorted by citations

Authors
Dopp, D. P., Samarth, P. S., Wang, J., Kick, D. R., Schulz, D. J., & Nair, S. S.
Affiliations
University of Missouri (US)
Corresponding author
  • Dopp, Daniel P.
  • Samarth, Pranit S.
Venue
Journal of Neurophysiology
Published
2026-03-01
Volume
135
Issue
3
Pages
686-704
ISSN
  • 0022-3077 (ISSN-L)
  • 1522-1598
OpenAlex
W7125598322
Cited by
1
References
0
Citations by year
2026: 1
FWCI
4.11
Type
journal article
Language
en
Open access
Locations
  • Journal of Neurophysiology (publishedVersion)
  • PubMed Central (publishedVersion)
  • PubMed (publishedVersion)
Funders
  • HHS | National Institutes of Health (MH122023)
  • National Science Foundation (OAC-1730655)
Topics
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
  • Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neuropharmacology Research
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Ion channel regulation and function
Keywords
burst firing, motor neurons, central pattern generator, synaptic input, neuronal output, computational model
MeSH terms
Action Potentials, Animals, Brachyura, Heart, Models, Neurological, Motor Neurons, Gap Junctions, Ganglia, Invertebrate

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.

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