--- _id: '13127' abstract: - lang: eng text: Cooperative disease defense emerges as group-level collective behavior, yet how group members make the underlying individual decisions is poorly understood. Using garden ants and fungal pathogens as an experimental model, we derive the rules governing individual ant grooming choices and show how they produce colony-level hygiene. Time-resolved behavioral analysis, pathogen quantification, and probabilistic modeling reveal that ants increase grooming and preferentially target highly-infectious individuals when perceiving high pathogen load, but transiently suppress grooming after having been groomed by nestmates. Ants thus react to both, the infectivity of others and the social feedback they receive on their own contagiousness. While inferred solely from momentary ant decisions, these behavioral rules quantitatively predict hour-long experimental dynamics, and synergistically combine into efficient colony-wide pathogen removal. Our analyses show that noisy individual decisions based on only local, incomplete, yet dynamically-updated information on pathogen threat and social feedback can lead to potent collective disease defense. acknowledged_ssus: - _id: LifeSc acknowledgement: We thank Mike Bidochka for the fungal strains, the ISTA Social Immunity Team for ant collection, Hanna Leitner for experimental and molecular support, Jennifer Robb and Lukas Lindorfer for microscopy, and the LabSupport Facility at ISTA for general laboratory support. We further thank Victor Mireles, Iain Couzin, Fabian Theis and the Social Immunity Team for continued feedback throughout, and Michael Sixt, Yuko Ulrich, Koos Boomsma, Erika Dawson, Megan Kutzer and Hinrich Schulenburg for comments on the manuscript. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant No. 771402; EPIDEMICSonCHIP) to SC, from the Scientific Grant Agency of the Slovak Republic (Grant No. 1/0521/20) to KB, and the Human Frontier Science Program (Grant No. RGP0065/2012) to GT. article_number: '3232' article_processing_charge: Yes article_type: original author: - first_name: Barbara E full_name: Casillas Perez, Barbara E id: 351ED2AA-F248-11E8-B48F-1D18A9856A87 last_name: Casillas Perez - first_name: Katarína full_name: Bod'Ová, Katarína id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bod'Ová orcid: 0000-0002-7214-0171 - first_name: Anna V full_name: Grasse, Anna V id: 406F989C-F248-11E8-B48F-1D18A9856A87 last_name: Grasse - first_name: Gašper full_name: Tkačik, Gašper id: 3D494DCA-F248-11E8-B48F-1D18A9856A87 last_name: Tkačik orcid: 0000-0002-6699-1455 - first_name: Sylvia full_name: Cremer, Sylvia id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87 last_name: Cremer orcid: 0000-0002-2193-3868 citation: ama: Casillas Perez BE, Bodova K, Grasse AV, Tkačik G, Cremer S. Dynamic pathogen detection and social feedback shape collective hygiene in ants. Nature Communications. 2023;14. doi:10.1038/s41467-023-38947-y apa: Casillas Perez, B. E., Bodova, K., Grasse, A. V., Tkačik, G., & Cremer, S. (2023). Dynamic pathogen detection and social feedback shape collective hygiene in ants. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-023-38947-y chicago: Casillas Perez, Barbara E, Katarina Bodova, Anna V Grasse, Gašper Tkačik, and Sylvia Cremer. “Dynamic Pathogen Detection and Social Feedback Shape Collective Hygiene in Ants.” Nature Communications. Springer Nature, 2023. https://doi.org/10.1038/s41467-023-38947-y. ieee: B. E. Casillas Perez, K. Bodova, A. V. Grasse, G. Tkačik, and S. Cremer, “Dynamic pathogen detection and social feedback shape collective hygiene in ants,” Nature Communications, vol. 14. Springer Nature, 2023. ista: Casillas Perez BE, Bodova K, Grasse AV, Tkačik G, Cremer S. 2023. Dynamic pathogen detection and social feedback shape collective hygiene in ants. Nature Communications. 14, 3232. mla: Casillas Perez, Barbara E., et al. “Dynamic Pathogen Detection and Social Feedback Shape Collective Hygiene in Ants.” Nature Communications, vol. 14, 3232, Springer Nature, 2023, doi:10.1038/s41467-023-38947-y. short: B.E. Casillas Perez, K. Bodova, A.V. Grasse, G. Tkačik, S. Cremer, Nature Communications 14 (2023). date_created: 2023-06-11T22:00:40Z date_published: 2023-06-03T00:00:00Z date_updated: 2023-08-07T13:09:09Z day: '03' ddc: - '570' department: - _id: SyCr - _id: GaTk doi: 10.1038/s41467-023-38947-y ec_funded: 1 external_id: isi: - '001002562700005' pmid: - '37270641' file: - access_level: open_access checksum: 4af0393e3ed47b3fc46e68b81c3c1007 content_type: application/pdf creator: dernst date_created: 2023-06-13T08:05:46Z date_updated: 2023-06-13T08:05:46Z file_id: '13132' file_name: 2023_NatureComm_CasillasPerez.pdf file_size: 2358167 relation: main_file success: 1 file_date_updated: 2023-06-13T08:05:46Z has_accepted_license: '1' intvolume: ' 14' isi: 1 language: - iso: eng month: '06' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 2649B4DE-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '771402' name: Epidemics in ant societies on a chip - _id: 255008E4-B435-11E9-9278-68D0E5697425 grant_number: RGP0065/2012 name: Information processing and computation in fish groups publication: Nature Communications publication_identifier: eissn: - 2041-1723 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '12945' relation: research_data status: public scopus_import: '1' status: public title: Dynamic pathogen detection and social feedback shape collective hygiene in ants tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 14 year: '2023' ... --- _id: '10535' abstract: - lang: eng text: Realistic models of biological processes typically involve interacting components on multiple scales, driven by changing environment and inherent stochasticity. Such models are often analytically and numerically intractable. We revisit a dynamic maximum entropy method that combines a static maximum entropy with a quasi-stationary approximation. This allows us to reduce stochastic non-equilibrium dynamics expressed by the Fokker-Planck equation to a simpler low-dimensional deterministic dynamics, without the need to track microscopic details. Although the method has been previously applied to a few (rather complicated) applications in population genetics, our main goal here is to explain and to better understand how the method works. We demonstrate the usefulness of the method for two widely studied stochastic problems, highlighting its accuracy in capturing important macroscopic quantities even in rapidly changing non-stationary conditions. For the Ornstein-Uhlenbeck process, the method recovers the exact dynamics whilst for a stochastic island model with migration from other habitats, the approximation retains high macroscopic accuracy under a wide range of scenarios in a dynamic environment. acknowledged_ssus: - _id: ScienComp acknowledgement: "Computational resources for the study were provided by the Institute of Science and Technology, Austria.\r\nKB received funding from the Scientific Grant Agency of the Slovak Republic under the Grants Nos. 1/0755/19 and 1/0521/20." article_number: e1009661 article_processing_charge: No article_type: original author: - first_name: Katarína full_name: Bod'ová, Katarína id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bod'ová orcid: 0000-0002-7214-0171 - first_name: Eniko full_name: Szep, Eniko id: 485BB5A4-F248-11E8-B48F-1D18A9856A87 last_name: Szep - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 citation: ama: Bodova K, Szep E, Barton NH. Dynamic maximum entropy provides accurate approximation of structured population dynamics. PLoS Computational Biology. 2021;17(12). doi:10.1371/journal.pcbi.1009661 apa: Bodova, K., Szep, E., & Barton, N. H. (2021). Dynamic maximum entropy provides accurate approximation of structured population dynamics. PLoS Computational Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1009661 chicago: Bodova, Katarina, Eniko Szep, and Nicholas H Barton. “Dynamic Maximum Entropy Provides Accurate Approximation of Structured Population Dynamics.” PLoS Computational Biology. Public Library of Science, 2021. https://doi.org/10.1371/journal.pcbi.1009661. ieee: K. Bodova, E. Szep, and N. H. Barton, “Dynamic maximum entropy provides accurate approximation of structured population dynamics,” PLoS Computational Biology, vol. 17, no. 12. Public Library of Science, 2021. ista: Bodova K, Szep E, Barton NH. 2021. Dynamic maximum entropy provides accurate approximation of structured population dynamics. PLoS Computational Biology. 17(12), e1009661. mla: Bodova, Katarina, et al. “Dynamic Maximum Entropy Provides Accurate Approximation of Structured Population Dynamics.” PLoS Computational Biology, vol. 17, no. 12, e1009661, Public Library of Science, 2021, doi:10.1371/journal.pcbi.1009661. short: K. Bodova, E. Szep, N.H. Barton, PLoS Computational Biology 17 (2021). date_created: 2021-12-12T23:01:27Z date_published: 2021-12-01T00:00:00Z date_updated: 2022-08-01T10:48:04Z day: '01' ddc: - '570' department: - _id: NiBa - _id: GaTk doi: 10.1371/journal.pcbi.1009661 external_id: arxiv: - '2102.03669' pmid: - '34851948' file: - access_level: open_access checksum: dcd185d4f7e0acee25edf1d6537f447e content_type: application/pdf creator: dernst date_created: 2022-05-16T08:53:11Z date_updated: 2022-05-16T08:53:11Z file_id: '11383' file_name: 2021_PLOsComBio_Bodova.pdf file_size: 2299486 relation: main_file success: 1 file_date_updated: 2022-05-16T08:53:11Z has_accepted_license: '1' intvolume: ' 17' issue: '12' language: - iso: eng month: '12' oa: 1 oa_version: Published Version pmid: 1 publication: PLoS Computational Biology publication_identifier: eissn: - 1553-7358 issn: - 1553-734X publication_status: published publisher: Public Library of Science quality_controlled: '1' scopus_import: '1' status: public title: Dynamic maximum entropy provides accurate approximation of structured population dynamics tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 17 year: '2021' ... --- _id: '316' abstract: - lang: eng text: 'Self-incompatibility (SI) is a genetically based recognition system that functions to prevent self-fertilization and mating among related plants. An enduring puzzle in SI is how the high diversity observed in nature arises and is maintained. Based on the underlying recognition mechanism, SI can be classified into two main groups: self- and non-self recognition. Most work has focused on diversification within self-recognition systems despite expected differences between the two groups in the evolutionary pathways and outcomes of diversification. Here, we use a deterministic population genetic model and stochastic simulations to investigate how novel S-haplotypes evolve in a gametophytic non-self recognition (SRNase/S Locus F-box (SLF)) SI system. For this model the pathways for diversification involve either the maintenance or breakdown of SI and can vary in the order of mutations of the female (SRNase) and male (SLF) components. We show analytically that diversification can occur with high inbreeding depression and self-pollination, but this varies with evolutionary pathway and level of completeness (which determines the number of potential mating partners in the population), and in general is more likely for lower haplotype number. The conditions for diversification are broader in stochastic simulations of finite population size. However, the number of haplotypes observed under high inbreeding and moderate to high self-pollination is less than that commonly observed in nature. Diversification was observed through pathways that maintain SI as well as through self-compatible intermediates. Yet the lifespan of diversified haplotypes was sensitive to their level of completeness. By examining diversification in a non-self recognition SI system, this model extends our understanding of the evolution and maintenance of haplotype diversity observed in a self recognition system common in flowering plants.' article_processing_charge: No article_type: original author: - first_name: Katarina full_name: Bodova, Katarina id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bodova orcid: 0000-0002-7214-0171 - first_name: Tadeas full_name: Priklopil, Tadeas id: 3C869AA0-F248-11E8-B48F-1D18A9856A87 last_name: Priklopil - first_name: David full_name: Field, David id: 419049E2-F248-11E8-B48F-1D18A9856A87 last_name: Field orcid: 0000-0002-4014-8478 - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: Melinda full_name: Pickup, Melinda id: 2C78037E-F248-11E8-B48F-1D18A9856A87 last_name: Pickup orcid: 0000-0001-6118-0541 citation: ama: Bodova K, Priklopil T, Field D, Barton NH, Pickup M. Evolutionary pathways for the generation of new self-incompatibility haplotypes in a non-self recognition system. Genetics. 2018;209(3):861-883. doi:10.1534/genetics.118.300748 apa: Bodova, K., Priklopil, T., Field, D., Barton, N. H., & Pickup, M. (2018). Evolutionary pathways for the generation of new self-incompatibility haplotypes in a non-self recognition system. Genetics. Genetics Society of America. https://doi.org/10.1534/genetics.118.300748 chicago: Bodova, Katarina, Tadeas Priklopil, David Field, Nicholas H Barton, and Melinda Pickup. “Evolutionary Pathways for the Generation of New Self-Incompatibility Haplotypes in a Non-Self Recognition System.” Genetics. Genetics Society of America, 2018. https://doi.org/10.1534/genetics.118.300748. ieee: K. Bodova, T. Priklopil, D. Field, N. H. Barton, and M. Pickup, “Evolutionary pathways for the generation of new self-incompatibility haplotypes in a non-self recognition system,” Genetics, vol. 209, no. 3. Genetics Society of America, pp. 861–883, 2018. ista: Bodova K, Priklopil T, Field D, Barton NH, Pickup M. 2018. Evolutionary pathways for the generation of new self-incompatibility haplotypes in a non-self recognition system. Genetics. 209(3), 861–883. mla: Bodova, Katarina, et al. “Evolutionary Pathways for the Generation of New Self-Incompatibility Haplotypes in a Non-Self Recognition System.” Genetics, vol. 209, no. 3, Genetics Society of America, 2018, pp. 861–83, doi:10.1534/genetics.118.300748. short: K. Bodova, T. Priklopil, D. Field, N.H. Barton, M. Pickup, Genetics 209 (2018) 861–883. date_created: 2018-12-11T11:45:47Z date_published: 2018-07-01T00:00:00Z date_updated: 2023-09-11T13:57:43Z day: '01' department: - _id: NiBa - _id: GaTk doi: 10.1534/genetics.118.300748 ec_funded: 1 external_id: isi: - '000437171700017' intvolume: ' 209' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://www.biorxiv.org/node/80098.abstract month: '07' oa: 1 oa_version: Preprint page: 861-883 project: - _id: 25B36484-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '329960' name: Mating system and the evolutionary dynamics of hybrid zones - _id: 25B07788-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '250152' name: Limits to selection in biology and in evolutionary computation - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Genetics publication_status: published publisher: Genetics Society of America quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/recognizing-others-but-not-yourself-new-insights-into-the-evolution-of-plant-mating/ record: - id: '9813' relation: research_data status: public scopus_import: '1' status: public title: Evolutionary pathways for the generation of new self-incompatibility haplotypes in a non-self recognition system type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 209 year: '2018' ... --- _id: '9813' abstract: - lang: eng text: 'File S1 contains figures that clarify the following features: (i) effect of population size on the average number/frequency of SI classes, (ii) changes in the minimal completeness deficit in time for a single class, and (iii) diversification diagrams for all studied pathways, including the summary figure for k = 8. File S2 contains the code required for a stochastic simulation of the SLF system with an example. This file also includes the output in the form of figures and tables.' article_processing_charge: No author: - first_name: Katarína full_name: Bod'ová, Katarína id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bod'ová orcid: 0000-0002-7214-0171 - first_name: Tadeas full_name: Priklopil, Tadeas id: 3C869AA0-F248-11E8-B48F-1D18A9856A87 last_name: Priklopil - first_name: David full_name: Field, David id: 419049E2-F248-11E8-B48F-1D18A9856A87 last_name: Field orcid: 0000-0002-4014-8478 - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: Melinda full_name: Pickup, Melinda id: 2C78037E-F248-11E8-B48F-1D18A9856A87 last_name: Pickup orcid: 0000-0001-6118-0541 citation: ama: Bodova K, Priklopil T, Field D, Barton NH, Pickup M. Supplemental material for Bodova et al., 2018. 2018. doi:10.25386/genetics.6148304.v1 apa: Bodova, K., Priklopil, T., Field, D., Barton, N. H., & Pickup, M. (2018). Supplemental material for Bodova et al., 2018. Genetics Society of America. https://doi.org/10.25386/genetics.6148304.v1 chicago: Bodova, Katarina, Tadeas Priklopil, David Field, Nicholas H Barton, and Melinda Pickup. “Supplemental Material for Bodova et Al., 2018.” Genetics Society of America, 2018. https://doi.org/10.25386/genetics.6148304.v1. ieee: K. Bodova, T. Priklopil, D. Field, N. H. Barton, and M. Pickup, “Supplemental material for Bodova et al., 2018.” Genetics Society of America, 2018. ista: Bodova K, Priklopil T, Field D, Barton NH, Pickup M. 2018. Supplemental material for Bodova et al., 2018, Genetics Society of America, 10.25386/genetics.6148304.v1. mla: Bodova, Katarina, et al. Supplemental Material for Bodova et Al., 2018. Genetics Society of America, 2018, doi:10.25386/genetics.6148304.v1. short: K. Bodova, T. Priklopil, D. Field, N.H. Barton, M. Pickup, (2018). date_created: 2021-08-06T13:04:32Z date_published: 2018-04-30T00:00:00Z date_updated: 2023-09-11T13:57:42Z day: '30' department: - _id: NiBa - _id: GaTk doi: 10.25386/genetics.6148304.v1 main_file_link: - open_access: '1' url: https://doi.org/10.25386/genetics.6148304.v1 month: '04' oa: 1 oa_version: Published Version publisher: Genetics Society of America related_material: record: - id: '316' relation: used_in_publication status: public status: public title: Supplemental material for Bodova et al., 2018 type: research_data_reference user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf year: '2018' ... --- _id: '607' abstract: - lang: eng text: We study the Fokker-Planck equation derived in the large system limit of the Markovian process describing the dynamics of quantitative traits. The Fokker-Planck equation is posed on a bounded domain and its transport and diffusion coefficients vanish on the domain's boundary. We first argue that, despite this degeneracy, the standard no-flux boundary condition is valid. We derive the weak formulation of the problem and prove the existence and uniqueness of its solutions by constructing the corresponding contraction semigroup on a suitable function space. Then, we prove that for the parameter regime with high enough mutation rate the problem exhibits a positive spectral gap, which implies exponential convergence to equilibrium.Next, we provide a simple derivation of the so-called Dynamic Maximum Entropy (DynMaxEnt) method for approximation of observables (moments) of the Fokker-Planck solution, which can be interpreted as a nonlinear Galerkin approximation. The limited applicability of the DynMaxEnt method inspires us to introduce its modified version that is valid for the whole range of admissible parameters. Finally, we present several numerical experiments to demonstrate the performance of both the original and modified DynMaxEnt methods. We observe that in the parameter regimes where both methods are valid, the modified one exhibits slightly better approximation properties compared to the original one. acknowledgement: "JH and PM are funded by KAUST baseline funds and grant no. 1000000193 .\r\nWe thank Nicholas Barton (IST Austria) for his useful comments and suggestions. \r\n\r\n" article_processing_charge: No author: - first_name: Katarina full_name: Bodova, Katarina id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bodova orcid: 0000-0002-7214-0171 - first_name: Jan full_name: Haskovec, Jan last_name: Haskovec - first_name: Peter full_name: Markowich, Peter last_name: Markowich citation: ama: 'Bodova K, Haskovec J, Markowich P. Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Physica D: Nonlinear Phenomena. 2018;376-377:108-120. doi:10.1016/j.physd.2017.10.015' apa: 'Bodova, K., Haskovec, J., & Markowich, P. (2018). Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Physica D: Nonlinear Phenomena. Elsevier. https://doi.org/10.1016/j.physd.2017.10.015' chicago: 'Bodova, Katarina, Jan Haskovec, and Peter Markowich. “Well Posedness and Maximum Entropy Approximation for the Dynamics of Quantitative Traits.” Physica D: Nonlinear Phenomena. Elsevier, 2018. https://doi.org/10.1016/j.physd.2017.10.015.' ieee: 'K. Bodova, J. Haskovec, and P. Markowich, “Well posedness and maximum entropy approximation for the dynamics of quantitative traits,” Physica D: Nonlinear Phenomena, vol. 376–377. Elsevier, pp. 108–120, 2018.' ista: 'Bodova K, Haskovec J, Markowich P. 2018. Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Physica D: Nonlinear Phenomena. 376–377, 108–120.' mla: 'Bodova, Katarina, et al. “Well Posedness and Maximum Entropy Approximation for the Dynamics of Quantitative Traits.” Physica D: Nonlinear Phenomena, vol. 376–377, Elsevier, 2018, pp. 108–20, doi:10.1016/j.physd.2017.10.015.' short: 'K. Bodova, J. Haskovec, P. Markowich, Physica D: Nonlinear Phenomena 376–377 (2018) 108–120.' date_created: 2018-12-11T11:47:28Z date_published: 2018-08-01T00:00:00Z date_updated: 2023-09-19T10:38:34Z day: '01' department: - _id: NiBa - _id: GaTk doi: 10.1016/j.physd.2017.10.015 external_id: arxiv: - '1704.08757' isi: - '000437962900012' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1704.08757 month: '08' oa: 1 oa_version: Submitted Version page: 108-120 publication: 'Physica D: Nonlinear Phenomena' publication_status: published publisher: Elsevier publist_id: '7198' quality_controlled: '1' scopus_import: '1' status: public title: Well posedness and maximum entropy approximation for the dynamics of quantitative traits type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 376-377 year: '2018' ... --- _id: '1420' abstract: - lang: eng text: 'Selection, mutation, and random drift affect the dynamics of allele frequencies and consequently of quantitative traits. While the macroscopic dynamics of quantitative traits can be measured, the underlying allele frequencies are typically unobserved. Can we understand how the macroscopic observables evolve without following these microscopic processes? This problem has been studied previously by analogy with statistical mechanics: the allele frequency distribution at each time point is approximated by the stationary form, which maximizes entropy. We explore the limitations of this method when mutation is small (4Nμ < 1) so that populations are typically close to fixation, and we extend the theory in this regime to account for changes in mutation strength. We consider a single diallelic locus either under directional selection or with overdominance and then generalize to multiple unlinked biallelic loci with unequal effects. We find that the maximum-entropy approximation is remarkably accurate, even when mutation and selection change rapidly. ' article_processing_charge: No author: - first_name: Katarína full_name: Bod'ová, Katarína id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bod'ová orcid: 0000-0002-7214-0171 - first_name: Gasper full_name: Tkacik, Gasper id: 3D494DCA-F248-11E8-B48F-1D18A9856A87 last_name: Tkacik orcid: 0000-0002-6699-1455 - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 citation: ama: Bodova K, Tkačik G, Barton NH. A general approximation for the dynamics of quantitative traits. Genetics. 2016;202(4):1523-1548. doi:10.1534/genetics.115.184127 apa: Bodova, K., Tkačik, G., & Barton, N. H. (2016). A general approximation for the dynamics of quantitative traits. Genetics. Genetics Society of America. https://doi.org/10.1534/genetics.115.184127 chicago: Bodova, Katarina, Gašper Tkačik, and Nicholas H Barton. “A General Approximation for the Dynamics of Quantitative Traits.” Genetics. Genetics Society of America, 2016. https://doi.org/10.1534/genetics.115.184127. ieee: K. Bodova, G. Tkačik, and N. H. Barton, “A general approximation for the dynamics of quantitative traits,” Genetics, vol. 202, no. 4. Genetics Society of America, pp. 1523–1548, 2016. ista: Bodova K, Tkačik G, Barton NH. 2016. A general approximation for the dynamics of quantitative traits. Genetics. 202(4), 1523–1548. mla: Bodova, Katarina, et al. “A General Approximation for the Dynamics of Quantitative Traits.” Genetics, vol. 202, no. 4, Genetics Society of America, 2016, pp. 1523–48, doi:10.1534/genetics.115.184127. short: K. Bodova, G. Tkačik, N.H. Barton, Genetics 202 (2016) 1523–1548. date_created: 2018-12-11T11:51:55Z date_published: 2016-04-06T00:00:00Z date_updated: 2022-08-01T10:49:55Z day: '06' department: - _id: GaTk - _id: NiBa doi: 10.1534/genetics.115.184127 ec_funded: 1 external_id: arxiv: - '1510.08344' intvolume: ' 202' issue: '4' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1510.08344 month: '04' oa: 1 oa_version: Preprint page: 1523 - 1548 project: - _id: 25B07788-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '250152' name: Limits to selection in biology and in evolutionary computation - _id: 255008E4-B435-11E9-9278-68D0E5697425 grant_number: RGP0065/2012 name: Information processing and computation in fish groups publication: Genetics publication_status: published publisher: Genetics Society of America publist_id: '5787' quality_controlled: '1' scopus_import: '1' status: public title: A general approximation for the dynamics of quantitative traits type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 202 year: '2016' ... --- _id: '1896' abstract: - lang: eng text: 'Biopolymer length regulation is a complex process that involves a large number of biological, chemical, and physical subprocesses acting simultaneously across multiple spatial and temporal scales. An illustrative example important for genomic stability is the length regulation of telomeres - nucleoprotein structures at the ends of linear chromosomes consisting of tandemly repeated DNA sequences and a specialized set of proteins. Maintenance of telomeres is often facilitated by the enzyme telomerase but, particularly in telomerase-free systems, the maintenance of chromosomal termini depends on alternative lengthening of telomeres (ALT) mechanisms mediated by recombination. Various linear and circular DNA structures were identified to participate in ALT, however, dynamics of the whole process is still poorly understood. We propose a chemical kinetics model of ALT with kinetic rates systematically derived from the biophysics of DNA diffusion and looping. The reaction system is reduced to a coagulation-fragmentation system by quasi-steady-state approximation. The detailed treatment of kinetic rates yields explicit formulas for expected size distributions of telomeres that demonstrate the key role played by the J factor, a quantitative measure of bending of polymers. The results are in agreement with experimental data and point out interesting phenomena: an appearance of very long telomeric circles if the total telomere density exceeds a critical value (excess mass) and a nonlinear response of the telomere size distributions to the amount of telomeric DNA in the system. The results can be of general importance for understanding dynamics of telomeres in telomerase-independent systems as this mode of telomere maintenance is similar to the situation in tumor cells lacking telomerase activity. Furthermore, due to its universality, the model may also serve as a prototype of an interaction between linear and circular DNA structures in various settings.' acknowledgement: The work was supported by the VEGA Grant No. 1/0459/13 (R.K. and K.B.). article_number: '032701' article_processing_charge: No author: - first_name: Richard full_name: Kollár, Richard last_name: Kollár - first_name: Katarína full_name: Bod'ová, Katarína id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bod'ová orcid: 0000-0002-7214-0171 - first_name: Jozef full_name: Nosek, Jozef last_name: Nosek - first_name: Ľubomír full_name: Tomáška, Ľubomír last_name: Tomáška citation: ama: Kollár R, Bodova K, Nosek J, Tomáška Ľ. Mathematical model of alternative mechanism of telomere length maintenance. Physical Review E Statistical Nonlinear and Soft Matter Physics. 2014;89(3). doi:10.1103/PhysRevE.89.032701 apa: Kollár, R., Bodova, K., Nosek, J., & Tomáška, Ľ. (2014). Mathematical model of alternative mechanism of telomere length maintenance. Physical Review E Statistical Nonlinear and Soft Matter Physics. American Institute of Physics. https://doi.org/10.1103/PhysRevE.89.032701 chicago: Kollár, Richard, Katarina Bodova, Jozef Nosek, and Ľubomír Tomáška. “Mathematical Model of Alternative Mechanism of Telomere Length Maintenance.” Physical Review E Statistical Nonlinear and Soft Matter Physics. American Institute of Physics, 2014. https://doi.org/10.1103/PhysRevE.89.032701. ieee: R. Kollár, K. Bodova, J. Nosek, and Ľ. Tomáška, “Mathematical model of alternative mechanism of telomere length maintenance,” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 89, no. 3. American Institute of Physics, 2014. ista: Kollár R, Bodova K, Nosek J, Tomáška Ľ. 2014. Mathematical model of alternative mechanism of telomere length maintenance. Physical Review E Statistical Nonlinear and Soft Matter Physics. 89(3), 032701. mla: Kollár, Richard, et al. “Mathematical Model of Alternative Mechanism of Telomere Length Maintenance.” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 89, no. 3, 032701, American Institute of Physics, 2014, doi:10.1103/PhysRevE.89.032701. short: R. Kollár, K. Bodova, J. Nosek, Ľ. Tomáška, Physical Review E Statistical Nonlinear and Soft Matter Physics 89 (2014). date_created: 2018-12-11T11:54:35Z date_published: 2014-03-04T00:00:00Z date_updated: 2022-08-01T10:50:10Z day: '04' department: - _id: NiBa - _id: GaTk doi: 10.1103/PhysRevE.89.032701 intvolume: ' 89' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1402.0430 month: '03' oa: 1 oa_version: Submitted Version publication: Physical Review E Statistical Nonlinear and Soft Matter Physics publication_status: published publisher: American Institute of Physics publist_id: '5198' scopus_import: '1' status: public title: Mathematical model of alternative mechanism of telomere length maintenance type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 89 year: '2014' ... --- _id: '2028' abstract: - lang: eng text: 'Understanding the dynamics of noisy neurons remains an important challenge in neuroscience. Here, we describe a simple probabilistic model that accurately describes the firing behavior in a large class (type II) of neurons. To demonstrate the usefulness of this model, we show how it accurately predicts the interspike interval (ISI) distributions, bursting patterns and mean firing rates found by: (1) simulations of the classic Hodgkin-Huxley model with channel noise, (2) experimental data from squid giant axon with a noisy input current and (3) experimental data on noisy firing from a neuron within the suprachiasmatic nucleus (SCN). This simple model has 6 parameters, however, in some cases, two of these parameters are coupled and only 5 parameters account for much of the known behavior. From these parameters, many properties of spiking can be found through simple calculation. Thus, we show how the complex effects of noise can be understood through a simple and general probabilistic model.' acknowledgement: 'This work is supported by AFOSR grant FA 9550-11-1-0165, program grant RPG 24/2012 from the Human Frontiers of Science (DBF) and travel support from the European Commission Marie Curie International Reintegration Grant PIRG04-GA-2008-239429 (KB). DP was supported by NIHR01 GM104987 and the Wyss Institute of Biologically Inspired Engineering. ' article_processing_charge: No author: - first_name: Katarina full_name: Bodova, Katarina id: 2BA24EA0-F248-11E8-B48F-1D18A9856A87 last_name: Bodova orcid: 0000-0002-7214-0171 - first_name: David full_name: Paydarfar, David last_name: Paydarfar - first_name: Daniel full_name: Forger, Daniel last_name: Forger citation: ama: Bodova K, Paydarfar D, Forger D. Characterizing spiking in noisy type II neurons. Journal of Theoretical Biology. 2014;365:40-54. doi:10.1016/j.jtbi.2014.09.041 apa: Bodova, K., Paydarfar, D., & Forger, D. (2014). Characterizing spiking in noisy type II neurons. Journal of Theoretical Biology. Academic Press. https://doi.org/10.1016/j.jtbi.2014.09.041 chicago: Bodova, Katarina, David Paydarfar, and Daniel Forger. “Characterizing Spiking in Noisy Type II Neurons.” Journal of Theoretical Biology. Academic Press, 2014. https://doi.org/10.1016/j.jtbi.2014.09.041. ieee: K. Bodova, D. Paydarfar, and D. Forger, “Characterizing spiking in noisy type II neurons,” Journal of Theoretical Biology, vol. 365. Academic Press, pp. 40–54, 2014. ista: Bodova K, Paydarfar D, Forger D. 2014. Characterizing spiking in noisy type II neurons. Journal of Theoretical Biology. 365, 40–54. mla: Bodova, Katarina, et al. “Characterizing Spiking in Noisy Type II Neurons.” Journal of Theoretical Biology, vol. 365, Academic Press, 2014, pp. 40–54, doi:10.1016/j.jtbi.2014.09.041. short: K. Bodova, D. Paydarfar, D. Forger, Journal of Theoretical Biology 365 (2014) 40–54. date_created: 2018-12-11T11:55:18Z date_published: 2014-10-12T00:00:00Z date_updated: 2022-08-25T14:00:47Z day: '12' ddc: - '570' department: - _id: GaTk doi: 10.1016/j.jtbi.2014.09.041 file: - access_level: open_access checksum: a9dbae18d3233b3dab6944fd3f2cd49e content_type: application/pdf creator: system date_created: 2018-12-12T10:17:58Z date_updated: 2020-07-14T12:45:25Z file_id: '5316' file_name: IST-2016-444-v1+1_1-s2.0-S0022519314005888-main.pdf file_size: 2679222 relation: main_file file_date_updated: 2020-07-14T12:45:25Z has_accepted_license: '1' intvolume: ' 365' language: - iso: eng month: '10' oa: 1 oa_version: Published Version page: 40 - 54 publication: ' Journal of Theoretical Biology' publication_status: published publisher: Academic Press publist_id: '5043' pubrep_id: '444' quality_controlled: '1' related_material: link: - relation: erratum url: https://doi.org/10.1016/j.jtbi.2015.03.013 scopus_import: '1' status: public title: Characterizing spiking in noisy type II neurons tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 365 year: '2014' ...