The spatio-temporal dynamics of interacting genetic incompatibilities. Part I: The case of stacked underdominant clines
| hal.structure.identifier | Laboratoire de Mathématiques Raphaël Salem [LMRS] | |
| dc.contributor.author | ALFARO, Matthieu | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GRIETTE, Quentin | |
| hal.structure.identifier | Biologie évolutive et écologie des algues = Evolutionary Biology and Ecology of Algae [EBEA] | |
| dc.contributor.author | ROZE, Denis | |
| hal.structure.identifier | Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)] | |
| dc.contributor.author | SARELS, Benoît | |
| dc.date.accessioned | 2024-04-04T02:46:57Z | |
| dc.date.available | 2024-04-04T02:46:57Z | |
| dc.date.issued | 2022-02 | |
| dc.identifier.issn | 0303-6812 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191599 | |
| dc.description.abstractEn | We explore the interaction between two genetic incompatibilities (underdominant loci in diploid organisms) in a population occupying a one-dimensional space.We derive a system of partial differential equations describing the dynamics of allele frequencies and linkage disequilibrium between the two loci, and use a quasi-linkage equilibrium approximation in order to reduce the number of variables.We investigate the solutions of this system and demonstrate the existence of a solution in which the two clines in allele frequency remain stacked together. In the case of asymmetric incompatibilities (i.e. when one homozygote is favored over the other at each locus), these stacked clines propagate in the form of a traveling wave. We obtain an approximation for the speed of this wave which, in particular, is decreased by recombination between the two loci but is always larger than the speed of "one cline alone". | |
| dc.description.sponsorship | Modèles intégro-différentiels venant de la biologie évolutive - ANR-20-CE40-0011 | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.subject.en | genetic incompatibilities | |
| dc.subject.en | heterozygote inferior case | |
| dc.subject.en | quasi linkage equilibrium | |
| dc.subject.en | perturbation analysis | |
| dc.subject.en | underdominance | |
| dc.subject.en | traveling wave | |
| dc.subject.en | standing wave | |
| dc.title.en | The spatio-temporal dynamics of interacting genetic incompatibilities. Part I: The case of stacked underdominant clines | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00285-022-01722-6 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Mathematical Biology | |
| bordeaux.page | 20 | |
| bordeaux.volume | 84 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03109887 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03109887v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Biology&rft.date=2022-02&rft.volume=84&rft.issue=3&rft.spage=20&rft.epage=20&rft.eissn=0303-6812&rft.issn=0303-6812&rft.au=ALFARO,%20Matthieu&GRIETTE,%20Quentin&ROZE,%20Denis&SARELS,%20Beno%C3%AEt&rft.genre=article |
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