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Self-organization of domain structures by DNA-loop-extruding enzymes
Open accessAbstract
The long chromosomal DNAs of cells are organized into loop domains much larger in size than individual DNA-binding enzymes, presenting the question of how formation of such structures is controlled. We present a model for generation of defined chromosomal loops, based on molecular machines consisting of two coupled and oppositely directed motile elements which extrude loops from the double helix along which they translocate, while excluding one another sterically. If these machines do not dissociate from DNA (infinite processivity), a disordered, exponential steady-state distribution of small loops is obtained. However, if dissociation and rebinding of the machines occurs at a finite rate (finite processivity), the steady state qualitatively changes to a highly ordered 'stacked' configuration with suppressed fluctuations, organizing a single large, stable loop domain anchored by several machines. The size of the resulting domain can be simply regulated by boundary elements, which halt the progress of the extrusion machines. Possible realizations of these types of molecular machines are discussed, with a major focus on structural maintenance of chromosome complexes and also with discussion of type I restriction enzymes. This mechanism could explain the geometrically uniform folding of eukaryote mitotic chromosomes, through extrusion of pre-programmed loops and concomitant chromosome compaction.
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“this favors a linear tracking mechanism,47 known as the “loop extrusion model”.8,9,48”
From Recent evidence that TADs and chromatin loops are dynamic structures (2018) · cites this paper as [48]
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ResultSMC complexes sweeping through the chromosome: going with the flow and against the tide
Gruber, S. (2018) · Current Opinion in Microbiology · doi:10.1016/j.mib.2017.10.004 · Cited by 33
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The ubiquitin–proteasome system regulates meiotic chromosome organization
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Abdulla, A. Z., Vaillant, C., & Jost, D. (2022) · Nucleic Acids Research · doi:10.1093/nar/gkac702 · Cited by 26
“P (Mi) = (k/k0)(ρs(i) + ε ∑ j ̸=i ρs(j) ∗ Pc(i, j)(1 + rδj,M )) (k/k0)(ρs(i) + ε ∑ j ̸=i ρs(j) ∗ Pc(i, j)(1 + rδj,M )) + 1 (5)”
Modeling the functions of condensin in chromosome shaping and segregation
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Deciphering the structure of the condensin protein complex
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Chromosome structure in Drosophila is determined by boundary pairing not loop extrusion
Bing, X., Ke, W., Fujioka, M., Kurbidaeva, A., Levitt, S. J., Levine, M., Schedl, P. D., & Jaynes, J. B. (2024) · eLife · doi:10.7554/elife.94070 · Cited by 35
“The endpoints of the loops were initially thought to be determined by the location of the first two roadblocks encountered by the cohesin complex ( Alipour and Marko, 2012 ).”
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“In the LE model, originally proposed by Marko and coworkers [98] and further developed by several other groups [99, 100], the chromatin is represented as a polymer consisting of beads separated by some specific distance; e.”
MethodSMC condensin: promoting cohesion of replicon arms
Burmann, F., & Gruber, S. (2015) · Nature Structural &Molecular Biology · doi:10.1038/nsmb.3082 · Cited by 26
Three-dimensional nuclear organization in Arabidopsis thaliana
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RotoStep: A Chromosome Dynamics Simulator Reveals Mechanisms of Loop ExtrusionPreprint
Lawrimore, J., Friedman, B., Doshi, A., & Bloom, K. (2017) · Cold Spring Harbor Symposia on Quantitative Biology · doi:10.1101/sqb.2017.82.033696 · Cited by 26
DNA-Topology Simplification by Topoisomerases
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Three-dimensional loop extrusion
Bonato, A., & Michieletto, D. (2021) · Biophysical Journal · doi:10.1016/j.bpj.2021.11.015 · Cited by 23
Chromatin Compaction Leads to a Preference for Peripheral Heterochromatin
MacPherson, Q., Beltran, B. G., & Spakowitz, A. J. (2020) · Biophysical Journal · doi:10.1016/j.bpj.2020.01.034 · Cited by 26
“pairs of beads are held together by LEFs, we follow (37) by running a Gil-”
MethodThe interplay between asymmetric and symmetric DNA loop extrusion
Banigan, E., & Mirny, L. (2020) · bioRxiv · doi:10.7554/elife.63528 · Cited by 19
“In the loop extrusion model, a loop-extruding factor (LEF), such as a condensin motor, binds the chromosome and progressively grows a DNA/chromatin loop by translocating along and processively collecting the nearby chromatin fiber (Riggs, 1990; Alipour and Marko, 2012; Goloborodko et al., 2016a).”
BackgroundInfluentialTiana, G., & Giorgetti, L. (2017) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2017.10.016 · Cited by 19
Mechanism and regulation of class switch recombination by IgH transcriptional control elements
Oudinet, C., Braikia, F.-Z., Dauba, A., & Khamlichi, A. A. (2020) · Advances in immunology · doi:10.1016/bs.ai.2020.06.003 · Cited by 24
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Uncovering the Principles of Genome Folding by 3D Chromatin ModelingPreprint
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Higher order assembly: folding the chromosome
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Large-scale chromatin organisation in interphase, mitosis and meiosis
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Cohesin prevents cross-domain gene coactivation
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Chromatin Alterations in Neurological Disorders and Strategies of (Epi)Genome Rescue
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“In this picture, condensin would actively extrude DNAloops, possibly by feeding DNA duplexes through its ring-like structure [36, 37, 38, 39].”
BackgroundGenome organization via loop extrusion, insights from polymer physics models
Ghosh, S. K., & Jost, D. (2019) · Briefings in Functional Genomics · doi:10.1093/bfgp/elz023 · Cited by 24
“Another fundamental difference is the treatment of colliding LEFs and of LEF unbinding: in [32], LEFs follow a simple exclusion rule and may unbind stochastically chromatin at any time as in [39]; in [31], one of the two interfering LEFs dissociates randomly unless one LEF is already stalled at a BE and thus remains b…”
BackgroundMethodResultInfluentialComplementary chromosome folding by transcription factors and cohesinPreprint
Pereira, M. C. F., Brackley, C. A., Michieletto, D., Annunziatella, C., Bianco, S., Chiariello, A. M., Nicodemi, M., & Marenduzzo, D. (2018) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/305359 · Cited by 19
Probing transient protein-mediated DNA linkages using nanoconfinement
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The mechanics of mitotic chromosomes
Man, T., Witt, H., Peterman, E. J. G., & Wuite, G. J. L. (2021) · Quarterly Reviews of Biophysics · doi:10.1017/s0033583521000081 · Cited by 19
“These nested loops are formed through loop extrusion by the condensin complexes, which exhibit motor activity and are believed to pull the DNA through the ring-shaped complex to form loops (Kawamura et al., 2010; Alipour and Marko, 2012; Goloborodko et al., 2016b; Terakawa et al., 2017; Ganji et al., 2018).”
BackgroundDynamics of chromosome organization in a minimal bacterial cell
Gilbert, B. R., Thornburg, Z. R., Brier, T. A., Stevens, J. A., Grünewald, F., Stone, J. E., Marrink, S. J., & Luthey-Schulten, Z. (2023) · Frontiers in Cell and Developmental Biology · doi:10.3389/fcell.2023.1214962 · Cited by 19
Towards a predictive model of chromatin 3D organization
Xu, C., & Corces, V. G. (2015) · Seminars in Cell and Developmental Biology · doi:10.1016/j.semcdb.2015.11.013 · Cited by 18
“This model is applicable to any DNA-loop-extruding enzyme, such as condensin or cohesin, which would form loops whose length can be regulated by the presence of architectural proteins [60].”
Xing, H., Wu, Y.-R., Zhang, M. Q., & Chen, Y. (2021) · BMC Bioinformatics · doi:10.1186/s12859-021-04113-8 · Cited by 18
Integrative studies of 3D genome organization and chromatin structure
Stefano, M. D., & Cavalli, G. (2022) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2022.102493 · Cited by 23
Loops and the activity of loop extrusion factors constrain chromatin dynamics
Bailey, M. L. P., Surovtsev, I. V., Williams, J. F., Yan, H., Yuan, T., Li, K., Duseau, K., Mochrie, S. G. J., & King, M. C. (2023) · Molecular Biology of the Cell · doi:10.1091/mbc.e23-04-0119 · Cited by 22
3D Genome Organization Influences the Chromosome Translocation Pattern
McCord, R. P., & Balajee, A. S. (2018) · Advances in experimental medicine and biology · doi:10.1007/978-981-13-0593-1_8 · Cited by 18
DNA's secret weapon against knots and tangles
Dolgin, E. (2017) · Nature · doi:10.1038/544284a · Cited by 18
preciseTAD: a transfer learning framework for 3D domain boundary prediction at base-pair resolution
Stilianoudakis, S. C., Marshall, M. A., & Dozmorov, M. G. (2021) · Bioinformatics · doi:10.1093/bioinformatics/btab743 · Cited by 19
“…and cohesin) track along the DNA sequence ‘extruding’ the intervening DNA in an ATP-dependent manner and pausing at the convergent CTCF motifs (Alipour and Marko, 2012; Davidson et al. , 2019; Fudenberg et al. , 2016; Goloborodko et al. , 2016; Hansen et al. , 2018; Mirny et al. , 2019;…”
BackgroundMethodInfluentialHi-TrAC detects active sub-TADs and reveals internal organizations of super-enhancers
Cao, Y., Liu, S., Cui, K., Tang, Q., & Zhao, K. (2023) · Nucleic Acids Research · doi:10.1093/nar/gkad378 · Cited by 18
The dynamic role of cohesin in maintaining human genome architecture
Agarwal, A., Korsak, S., Choudhury, A., & Plewczyński, D. (2023) · BioEssays · doi:10.1002/bies.202200240 · Cited by 14
“[21,57] Polarity or orientation of CTCF proteins can be determined by their binding motifs from which N and C terminus of CTCF proteins can be determined.”
BackgroundFernandez, L. R., Gilgenast, T. G., & Phillips‐Cremins, J. E. (2020) · Genome biology · doi:10.1186/s13059-020-02061-9 · Cited by 17
Epigenetics and Heart Development
George, R. M., & Firulli, A. B. (2021) · Frontiers in Cell and Developmental Biology · doi:10.3389/fcell.2021.637996 · Cited by 16
“The generally accepted model for TAD formation is loop extrusion, where cohesin protein complexes are loaded and extrude chromatin into progressively larger loops until they either dissociate from chromatin, bump into each other, or run into insulator molecules such as the zinc finger CCCTC binding factor (CTCF) (Alip…”
BackgroundTopologically-associating domains: gene warehouses adapted to serve transcriptional regulation
Razin, S. V., Gavrilov, A. A., Vassetzky, Y. S., & Ulianov, S. V. (2016) · Transcription · doi:10.1080/21541264.2016.1181489 · Cited by 18
Scaling Laws for Mitotic Chromosomes
Kramer, E., Tayjasanant, P. A., & Cordone, B. (2021) · Frontiers in Cell and Developmental Biology · doi:10.3389/fcell.2021.684278 · Cited by 15
“Perhaps the most important are condensins (Nasmyth, 2001; Alipour and Marko, 2012).”
BackgroundCummings, C. T., & Rowley, M. J. (2022) · Genes · doi:10.3390/genes13040583 · Cited by 15
The shape of chromatin: insights from computational recognition of geometric patterns in Hi-C data
Raffo, A., & Paulsen, J. (2023) · Briefings in Bioinformatics · doi:10.1093/bib/bbad302 · Cited by 15
“Most chromatin loops are located within the boundaries of tissue-invariant TADs [22], and are formed by a process called loop extrusion [23, 24, 25].”
BackgroundFluidification of entangled polymers by loop extrusion
Conforto, F., Fosado, Y. A. G., & Michieletto, D. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.033160 · Cited by 16
Cell-type-specific loops linked to RNA polymerase II elongation in human neural differentiation
Titus, K. R., Simándi, Z., Chandrashekar, H., Paquet, D., & Phillips‐Cremins, J. E. (2024) · Cell Genomics · doi:10.1016/j.xgen.2024.100606 · Cited by 17
Genome maintenance in the context of 4D chromatin condensation
Yu, S., Yang, F., & Shen, W. H. (2016) · Cellular and Molecular Life Sciences · doi:10.1007/s00018-016-2221-2 · Cited by 17
“Condensins facilitate the initial mitotic chromatin condensation event that forms 80- to 120-kb linear chromatin loops [7, 144].”
3D genomics imposes evolution of the domain model of eukaryotic genome organization
Razin, S. V., & Vassetzky, Y. S. (2016) · Chromosoma · doi:10.1007/s00412-016-0604-7 · Cited by 16
“Specifically, the extrusion of DNA loops constrained by CTCF/cohesion complexes is likely to shape the TAD profiles (Alipour and Marko 2012; Fudenberg et al. 2015; Sanborn et al. 2015).”
Are SMC Complexes Loop Extruding Factors? Linking Theory With Fact
Baxter, J., Oliver, A. W., & Schalbetter, S. A. (2018) · BioEssays · doi:10.1002/bies.201800182 · Cited by 18
A combination of transcription factors mediates inducible interchromosomal contacts
Kim, S., Dunham, M. J., & Shendure, J. (2019) · eLife · doi:10.7554/elife.42499 · Cited by 15
Three-dimensional chromosome organization in flowering plants
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Mitotic chromosome organization: General rules meet species-specific variability
Beseda, T., Cápal, P., Kubalová, I., Schubert, V., Doležel, J., & Šimková, H. (2020) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2020.01.006 · Cited by 16
“Condensins constrain the movement of chromatin fiber by forming a ring structure that holds two distant parts of the fiber together, creating a chromatin loop by loop extrusion [48,49].”
BackgroundCâmara, A. S., Schubert, V., Mascher, M., & Houben, A. (2021) · bioRxiv · doi:10.1093/nar/gkab648 · Cited by 12
“The LE worked as postulated in the loop extrusion model of (31).”
MethodInfluentialShaping chromosomes by DNA capture and release: gating the SMC rings
Gruber, S. (2017) · Current Opinion in Cell Biology · doi:10.1016/j.ceb.2017.04.002 · Cited by 16
Heterogeneous interactions and polymer entropy decide organization and dynamics of chromatin domains
Kumari, K., Prakash, J. R., & Padinhateeri, R. (2022) · Biophysical Journal · doi:10.1016/j.bpj.2022.06.008 · Cited by 17
Organization of replicated chromosomes by DNA loops and sister chromatid cohesion
Ochs, F., & Gerlich, D. W. (2026) · Nature Reviews Molecular Cell Biology · doi:10.1038/s41580-025-00933-1 · Cited by 16
Hirano, T. (2025) · The Journal of Cell Biology · doi:10.1083/jcb.202504075 · Cited by 12
A Cohesin Traffic Pattern Genetically Linked to Gene Regulation
Valton, A.-L., Dekker, J., Venev, S. V., Mair, B., Khokhar, E. S., Pai, A. A., & Moffat, J. (2021) · HAL · Cited by 18
MoDLE: high-performance stochastic modeling of DNA loop extrusion interactions
Rossini, R., Kumar, V., Mathelier, A., Rognes, T., & Paulsen, J. (2022) · bioRxiv · doi:10.1186/s13059-022-02815-7 · Cited by 14
“These proteins are often referred to as loop extrusion factors (LEFs) [15].”
BackgroundMethodPrinciples of Meiotic Chromosome AssemblyPreprint
Schalbetter, S., Fudenberg, G., Baxter, J., Pollard, K., & Neale, M. (2018) · bioRxiv · doi:10.1101/442038 · Cited by 16
A cohesin traffic pattern genetically linked to gene regulationPreprint
Valton, A.-L., Venev, S. V., Mair, B., Khokhar, E. S., Tong, A. H. Y., Ušaj, M., Chan, K. S. K., Pai, A. A., Moffat, J., & Dekker, J. (2021) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2021.07.29.454218 · Cited by 15
“These structures appear to be formed by a loop extrusion mechanism mediated by cohesin complexes (Alipour and Marko, 2012; Fudenberg et al., 2016; Sanborn et al., 2015).”
BackgroundConsistencies and contradictions in different polymer models of chromatin architecture
Câmara, A. S., & Mascher, M. (2023) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2023.01.033 · Cited by 13
“The loop extrusion model overcomes these difficulties by considering loops that progressively grow along the chromatin fibre [41].”
BackgroundThe Accidental Ally: Nucleosome Barriers Can Accelerate Cohesin-Mediated Loop Formation in Chromatin
Maji, A., Padinhateeri, R., & Mitra, M. K. (2020) · Biophysical Journal · doi:10.1016/j.bpj.2020.10.014 · Cited by 14
Analysis of high-resolution 3D intrachromosomal interactions aided by Bayesian network modeling
Zhang, X., Branciamore, S., Gogoshin, G., Rodin, A. S., & Riggs, A. D. (2017) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1620425114 · Cited by 12
“More recently it has been proposed that the cohesin complex, containing RAD21, SMC1, and SMC3, is involved in chromosome loop formation and chromosome condensation (19, 20).”
BackgroundCatching DNA with hoops—biophysical approaches to clarify the mechanism of SMC proteins
Eeftens, J. M., & Dekker, C. (2017) · Nature Structural & Molecular Biology · doi:10.1038/nsmb.3507 · Cited by 13
One ring to bind them – Cohesin’s interaction with chromatin fibers
Gines, M. M., van Staveren, T., & Wendt, K. S. (2019) · Essays in Biochemistry · doi:10.1042/ebc20180064 · Cited by 14
Chromosome compaction and chromatin stiffness enhance diffusive loop extrusion by slip-link proteins
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TADs or no TADS: Lessons From Single-cell Imaging of Chromosome Architecture
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Architectural proteins for the formation and maintenance of the 3D genome
Li, M., Gan, J., Sun, Y., Xu, Z., Yang, J., Sun, Y., & Li, C. (2020) · Science China Life Sciences · doi:10.1007/s11427-019-1613-3 · Cited by 15
DNA-loop extruding condensin complexes can traverse one anotherPreprint
Kim, E., Kerssemakers, J. W. J., Shaltiël, I. A., Haering, C. H., & Dekker, C. (2019) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/682864 · Cited by 13
Huang, H., Zhu, Q.-S., Jussila, A. P., Han, Y., Bintu, B., Kern, C., Conte, M., Zhang, Y.-X., Bianco, S., Chiariello, A., et al. (2020) · bioRxiv · doi:10.1101/2020.07.07.192526 · Cited by 14
“10,000 KB 1,000 KB 12,000 KB 13,000 KB 14,000 KB 15,000 KB 16,000 KB 17,000 KB 18,000 KB [0-60]”
Helical chromonema coiling is conserved in eukaryotes
Câmara, A. S., Kubalová, I., & Schubert, V. (2023) · The Plant Journal · doi:10.1111/tpj.16484 · Cited by 12
Motorized chain models of the ideal chromosome
Cao, Z., & Wolynes, P. G. (2024) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2407077121 · Cited by 11
Choppavarapu, L., Fang, K., Liu, T., Ohihoin, A. G., & Jin, V. X. (2025) · Cell Reports · doi:10.1016/j.celrep.2025.115450 · Cited by 13
“We also found a positive correlation of DLGs with HS TADs but not with differential compartments, which could be possibly explained by the model of TAD formed through a loop extrusion, 52–54 whereas compartments are formed by a distinct mechanism.”
Piveteau, V., Dupont, C., Salari, H., Dumont, A., Savocco, J., Jost, D., & Piazza, A. (2026) · The EMBO Journal · doi:10.1038/s44318-026-00748-6 · Cited by 13
“…stochastic motion of loop extruders along the chromosome into a simple polymer model to predict the impact of loop extrusion on contact frequencies, which can be compared to Hi-C contact data (Alipour and Marko, 2012; Sanborn et al, 2015; Fudenberg et al, 2016; Chan and Rubinstein, 2023).”
Sequence Ontology terminology for gene regulation
Sant, D., Sinclair, M. S., Mungall, C., Schulz, S., Zerbino, D. R., Lovering, R. C., Logie, C., & Eilbeck, K. L. (2021) · Biochimica et Biophysica Acta (BBA) - Gene Regulatory Mechanisms · doi:10.1016/j.bbagrm.2021.194745 · Cited by 11
Predictive Polymer Models for 3D Chromosome Organization
Chiang, M., Forte, G., Gilbert, N., Marenduzzo, D., & Brackley, C. A. (2020) · Methods in molecular biology · doi:10.1007/978-1-0716-1390-0_14 · Cited by 16
TRAVERS, A. A., & Muskhelishvili, G. (2020) · EcoSal Plus · doi:10.1128/ecosalplus.esp-0016-2019 · Cited by 12
Long-Range Control of Class Switch Recombination by Transcriptional Regulatory Elements
Dauba, A., & Khamlichi, A. A. (2021) · Frontiers in Immunology · doi:10.3389/fimmu.2021.738216 · Cited by 12
Chromatin insulators in gene regulation and 3D genome organization
Sultana, H., Kunar, R., & Matera, A. G. (2025) · Biochemical Society Transactions · doi:10.1042/bst20253036 · Cited by 11
“This orientation of CTCF is critical in stopping the loop extrusion [45,46].”
Interplay between epigenome and 3D chromatin structure
Han, M.-H., Issagulova, D., & Park, M. (2023) · BMB Reports · doi:10.5483/bmbrep.2023-0197 · Cited by 13
“Successive loop formations dictate the chromatin structure over extended genomic regions, often spanning hundreds of kilobases (27).”
BackgroundDNA packaging by molecular motors: from bacteriophage to human chromosomes
Prevo, B., & Earnshaw, W. C. (2024) · Nature Reviews Genetics · doi:10.1038/s41576-024-00740-y · Cited by 11
“Indeed, several theoretical analyses have now shown that DNA loop extrusion is an efficient mechanism to drive the compaction of DNA and to form rod-shaped mitotic chromosomes 15,16,101,136,149,150 .”
Metadata
- Authors
- Alipour, E., & Marko, J. F.
- Affiliations
- UConn Health (US)
- Northwestern University (US)
- Corresponding author
- Alipour, E.
- Marko, J. F.
- Venue
- Nucleic Acids Research
- Publisher
- Oxford University Press (OUP)
- Published
- 2012-10-15
- Volume
- 40
- Issue
- 22
- Pages
- 11202-11212
- ISSN
- 0305-1048 (ISSN-L)
- 1362-4962
- PMC
- PMC3526278
- OpenAlex
- W2100148696
- Cited by
- 540
- References
- 48
- Citations by year
- 2026: 26 · 2025: 45 · 2024: 44 · 2023: 46 · 2022: 38 · 2021: 55 · 2020: 71 · 2019: 61 · 2018: 54 · 2017: 52 · 2016: 27 · 2015: 10 · 2014: 7 · 2013: 3
- FWCI
- 2.56
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Nucleic Acids Research (publishedVersion, cc-by-nc)
- Europe PMC (PubMed Central) (publishedVersion, cc-by-nc)
- PubMed Central (publishedVersion, cc-by-nc)
- PubMed (publishedVersion)
- HighWire Press Open Archive (submittedVersion)
- Funders
- National Science Foundation (1206868, 1022117, 0715099)
- National Institutes of Health (MCB-1022117, DMR-1206868)
- National Cancer Institute (U54CA143869)
- Division of Materials Research (DMR-1206868)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Genomics and Chromatin Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Diffusion and Search Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › DNA Repair Mechanisms
- Keywords
- DNA loop extrusion, self-organization, molecular machines, DNA translocation, processivity, loop size distribution, chromosome compaction, type I restriction enzymes, boundary elements
- MeSH terms
- Chromosomes, Computer Simulation, DNA, Enzymes, Models, Genetic, Nucleic Acid Conformation
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