Bansaye, Vincent Spine for interacting populations and sampling. (English) Zbl 07824114 Bernoulli 30, No. 2, 1555-1585 (2024). MSC: 92D25 60J20 60J74 60J85 PDFBibTeX XMLCite \textit{V. Bansaye}, Bernoulli 30, No. 2, 1555--1585 (2024; Zbl 07824114) Full Text: DOI arXiv Link
Marguet, Aline; Smadi, Charline Spread of parasites affecting death and division rates in a cell population. (English) Zbl 07787486 Stochastic Processes Appl. 168, Article ID 104262, 31 p. (2024). MSC: 92D30 60J85 60J28 PDFBibTeX XMLCite \textit{A. Marguet} and \textit{C. Smadi}, Stochastic Processes Appl. 168, Article ID 104262, 31 p. (2024; Zbl 07787486) Full Text: DOI arXiv
González Casanova, Adrián; Smadi, Charline; Wakolbinger, Anton Quasi-equilibria and click times for a variant of Muller’s ratchet. (English) Zbl 1528.60096 Electron. J. Probab. 28, Paper No. 159, 37 p. (2023). MSC: 60K35 92D15 PDFBibTeX XMLCite \textit{A. González Casanova} et al., Electron. J. Probab. 28, Paper No. 159, 37 p. (2023; Zbl 1528.60096) Full Text: DOI arXiv
Véchambre, Grégoire Combinatorics of ancestral lines for a Wright-Fisher diffusion with selection in a Lévy environment. (English) Zbl 07789650 Ann. Appl. Probab. 33, No. 6A, 4875-4935 (2023). MSC: 82C22 60J25 60J27 92D15 PDFBibTeX XMLCite \textit{G. Véchambre}, Ann. Appl. Probab. 33, No. 6A, 4875--4935 (2023; Zbl 07789650) Full Text: DOI arXiv
Cordero, Fernando; Véchambre, Grégoire Moran models and Wright-Fisher diffusions with selection and mutation in a one-sided random environment. (English) Zbl 07779232 Adv. Appl. Probab. 55, No. 3, 701-767 (2023). MSC: 82C22 92D15 60J25 60J27 PDFBibTeX XMLCite \textit{F. Cordero} and \textit{G. Véchambre}, Adv. Appl. Probab. 55, No. 3, 701--767 (2023; Zbl 07779232) Full Text: DOI arXiv
Foutel-Rodier, Félix; Schertzer, Emmanuel Convergence of genealogies through spinal decomposition with an application to population genetics. (English) Zbl 1527.60064 Probab. Theory Relat. Fields 187, No. 3-4, 697-751 (2023). MSC: 60J80 60G57 60J85 92D25 PDFBibTeX XMLCite \textit{F. Foutel-Rodier} and \textit{E. Schertzer}, Probab. Theory Relat. Fields 187, No. 3--4, 697--751 (2023; Zbl 1527.60064) Full Text: DOI arXiv OA License
Smadi, Charline Parasite infection in a cell population with deaths and reinfections. (English) Zbl 07760558 MathS In Action 12, 23-47 (2023). MSC: 92D30 60J85 60H10 PDFBibTeX XMLCite \textit{C. Smadi}, MathS In Action 12, 23--47 (2023; Zbl 07760558) Full Text: DOI arXiv
Madrid, Ignacio Exponential ergodicity of a degenerate age-size piecewise deterministic process. (English) Zbl 1522.60066 Acta Appl. Math. 187, Paper No. 5, 34 p. (2023). MSC: 60J25 45C05 45K05 92D25 PDFBibTeX XMLCite \textit{I. Madrid}, Acta Appl. Math. 187, Paper No. 5, 34 p. (2023; Zbl 1522.60066) Full Text: DOI arXiv
Foucart, Clément; Zhou, Xiaowen On the boundary classification of \(\Lambda\)-Wright-Fisher processes with frequency-dependent selection. (Sur la classification des points frontières des processus de \(\Lambda\)-Wright-Fisher avec sélection dépendante de la fréquence.) (English. French summary) Zbl 1521.60053 Ann. Henri Lebesgue 6, 493-539 (2023). MSC: 60J90 60J70 60J80 92D25 PDFBibTeX XMLCite \textit{C. Foucart} and \textit{X. Zhou}, Ann. Henri Lebesgue 6, 493--539 (2023; Zbl 1521.60053) Full Text: DOI arXiv
Chernousova, Elena; Hryniv, Ostap; Molchanov, Stanislav Branching random walk in a random time-independent environment. (English) Zbl 1524.60189 Math. Popul. Stud. 30, No. 2, 73-94 (2023). MSC: 60J80 92D25 60J85 PDFBibTeX XMLCite \textit{E. Chernousova} et al., Math. Popul. Stud. 30, No. 2, 73--94 (2023; Zbl 1524.60189) Full Text: DOI
Poulton, Jenny M.; Altenberg, Lee; Watkins, Chris Evolution with recombination as Gibbs sampling. (English) Zbl 07702627 Theor. Popul. Biol. 151, 28-43 (2023). MSC: 92-XX PDFBibTeX XMLCite \textit{J. M. Poulton} et al., Theor. Popul. Biol. 151, 28--43 (2023; Zbl 07702627) Full Text: DOI arXiv
Baake, E.; Esercito, L.; Hummel, S. Lines of descent in a Moran model with frequency-dependent selection and mutation. (English) Zbl 1510.60085 Stochastic Processes Appl. 160, 409-457 (2023). MSC: 60K35 92D15 60J25 60J27 PDFBibTeX XMLCite \textit{E. Baake} et al., Stochastic Processes Appl. 160, 409--457 (2023; Zbl 1510.60085) Full Text: DOI arXiv
Cheek, David; Johnston, Samuel G. G. Ancestral reproductive bias in branching processes. (English) Zbl 1511.60121 J. Math. Biol. 86, No. 5, Paper No. 70, 24 p. (2023). MSC: 60J80 60G51 60K05 92D10 92D20 PDFBibTeX XMLCite \textit{D. Cheek} and \textit{S. G. G. Johnston}, J. Math. Biol. 86, No. 5, Paper No. 70, 24 p. (2023; Zbl 1511.60121) Full Text: DOI arXiv
Blath, Jochen; Paul, Tobias; Tóbiás, András A stochastic adaptive dynamics model for bacterial populations with mutation, dormancy and transfer. (English) Zbl 1509.60156 ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 313-357 (2023). MSC: 60J85 92D10 92D25 PDFBibTeX XMLCite \textit{J. Blath} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 313--357 (2023; Zbl 1509.60156) Full Text: arXiv Link
den Hollander, Frank (ed.); Sturm, Anja (ed.); Winter, Anita (ed.) Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6–12, 2022. (English) Zbl 1506.00063 Oberwolfach Rep. 19, No. 1, 577-656 (2022). MSC: 00B05 00B25 82-06 92-06 60J70 60K35 60K37 82B27 92D25 60J68 60J95 82B31 82C27 92D15 PDFBibTeX XMLCite \textit{F. den Hollander} (ed.) et al., Oberwolfach Rep. 19, No. 1, 577--656 (2022; Zbl 1506.00063) Full Text: DOI
Baake, Ellen; Cordero, Fernando; Hummel, Sebastian Lines of descent in the deterministic mutation-selection model with pairwise interaction. (English) Zbl 1500.92061 Ann. Appl. Probab. 32, No. 4, 2400-2447 (2022). MSC: 92D15 60J85 PDFBibTeX XMLCite \textit{E. Baake} et al., Ann. Appl. Probab. 32, No. 4, 2400--2447 (2022; Zbl 1500.92061) Full Text: DOI arXiv
Cordero, Fernando; Hummel, Sebastian; Schertzer, Emmanuel General selection models: Bernstein duality and minimal ancestral structures. (English) Zbl 1503.60143 Ann. Appl. Probab. 32, No. 3, 1499-1556 (2022). MSC: 60K35 60G99 60J25 60J27 92D15 PDFBibTeX XMLCite \textit{F. Cordero} et al., Ann. Appl. Probab. 32, No. 3, 1499--1556 (2022; Zbl 1503.60143) Full Text: DOI arXiv
Forien, Raphaël; Garnier, Jimmy; Patout, Florian Ancestral lineages in mutation selection equilibria with moving optimum. (English) Zbl 1497.92176 Bull. Math. Biol. 84, No. 9, Paper No. 93, 43 p. (2022). MSC: 92D15 47G20 PDFBibTeX XMLCite \textit{R. Forien} et al., Bull. Math. Biol. 84, No. 9, Paper No. 93, 43 p. (2022; Zbl 1497.92176) Full Text: DOI arXiv
Lember, Jüri; Watkins, Chris An evolutionary model that satisfies detailed balance. (English) Zbl 1490.60214 Methodol. Comput. Appl. Probab. 24, No. 1, 1-37 (2022). MSC: 60J10 60B10 92D15 PDFBibTeX XMLCite \textit{J. Lember} and \textit{C. Watkins}, Methodol. Comput. Appl. Probab. 24, No. 1, 1--37 (2022; Zbl 1490.60214) Full Text: DOI arXiv
Floreani, Simone; Giardinà, Cristian; den Hollander, Frank; Nandan, Shubhamoy; Redig, Frank Switching interacting particle systems: scaling limits, uphill diffusion and boundary layer. (English) Zbl 1483.60067 J. Stat. Phys. 186, No. 3, Paper No. 33, 45 p. (2022). MSC: 60G50 60K35 82C26 92D25 PDFBibTeX XMLCite \textit{S. Floreani} et al., J. Stat. Phys. 186, No. 3, Paper No. 33, 45 p. (2022; Zbl 1483.60067) Full Text: DOI arXiv
Alberti, Frederic; Herrmann, Carolin; Baake, Ellen Selection, recombination, and the ancestral initiation graph. (English) Zbl 1482.92053 Theor. Popul. Biol. 142, 46-56 (2021). MSC: 92D15 PDFBibTeX XMLCite \textit{F. Alberti} et al., Theor. Popul. Biol. 142, 46--56 (2021; Zbl 1482.92053) Full Text: DOI arXiv
Boenkost, Florin; González Casanova, Adrián; Pokalyuk, Cornelia; Wakolbinger, Anton Haldane’s formula in Cannings models: the case of moderately strong selection. (English) Zbl 1479.60150 J. Math. Biol. 83, No. 6-7, Paper No. 70, 31 p. (2021). MSC: 60J10 60J80 92D15 92D25 PDFBibTeX XMLCite \textit{F. Boenkost} et al., J. Math. Biol. 83, No. 6--7, Paper No. 70, 31 p. (2021; Zbl 1479.60150) Full Text: DOI arXiv
Blath, Jochen; Tóbiás, András The interplay of dormancy and transfer in bacterial populations: invasion, fixation and coexistence regimes. (English) Zbl 1478.92149 Theor. Popul. Biol. 139, 18-49 (2021). MSC: 92D25 92D15 92C70 PDFBibTeX XMLCite \textit{J. Blath} and \textit{A. Tóbiás}, Theor. Popul. Biol. 139, 18--49 (2021; Zbl 1478.92149) Full Text: DOI arXiv
Vogl, Claus; Mikula, Lynette Caitlin A nearly-neutral biallelic Moran model with biased mutation and linear and quadratic selection. (English) Zbl 1478.92142 Theor. Popul. Biol. 139, 1-17 (2021). MSC: 92D15 PDFBibTeX XMLCite \textit{C. Vogl} and \textit{L. C. Mikula}, Theor. Popul. Biol. 139, 1--17 (2021; Zbl 1478.92142) Full Text: DOI arXiv
Alberti, Frederic Genetic recombination as a generalised gradient flow. (English) Zbl 1475.92109 Monatsh. Math. 196, No. 4, 645-663 (2021). MSC: 92D10 92C40 PDFBibTeX XMLCite \textit{F. Alberti}, Monatsh. Math. 196, No. 4, 645--663 (2021; Zbl 1475.92109) Full Text: DOI arXiv
Lambert, Amaury; Pina, Verónica Miró; Schertzer, Emmanuel Chromosome painting: how recombination mixes ancestral colors. (English) Zbl 1476.60009 Ann. Appl. Probab. 31, No. 2, 826-864 (2021). MSC: 60B12 05A18 60G55 60J25 60K35 92D10 92D20 PDFBibTeX XMLCite \textit{A. Lambert} et al., Ann. Appl. Probab. 31, No. 2, 826--864 (2021; Zbl 1476.60009) Full Text: DOI arXiv Link
Boenkost, Florin; González Casanova, Adrián; Pokalyuk, Cornelia; Wakolbinger, Anton Haldane’s formula in Cannings models: the case of moderately weak selection. (English) Zbl 1469.60226 Electron. J. Probab. 26, Paper No. 4, 36 p. (2021). MSC: 60J10 60F05 60J80 92D25 PDFBibTeX XMLCite \textit{F. Boenkost} et al., Electron. J. Probab. 26, Paper No. 4, 36 p. (2021; Zbl 1469.60226) Full Text: DOI arXiv
Alberti, Frederic; Baake, Ellen Solving the selection-recombination equation: ancestral lines and dual processes. (English) Zbl 1478.92126 Doc. Math. 26, 743-793 (2021). MSC: 92D10 92D15 60J25 60C05 05C80 PDFBibTeX XMLCite \textit{F. Alberti} and \textit{E. Baake}, Doc. Math. 26, 743--793 (2021; Zbl 1478.92126) Full Text: DOI arXiv
Khudiakova, Ksenia A.; Neretina, Tatiana Yu.; Kondrashov, Alexey S. Two linked loci under mutation-selection balance and Muller’s ratchet. (English) Zbl 1466.92125 J. Theor. Biol. 524, Article ID 110729, 4 p. (2021). MSC: 92D15 92D10 PDFBibTeX XMLCite \textit{K. A. Khudiakova} et al., J. Theor. Biol. 524, Article ID 110729, 4 p. (2021; Zbl 1466.92125) Full Text: DOI DOI
Smerlak, Matteo Quasi-species evolution maximizes genotypic reproductive value (not fitness or flatness). (English) Zbl 1465.92080 J. Theor. Biol. 522, Article ID 110699, 4 p. (2021). MSC: 92D15 PDFBibTeX XMLCite \textit{M. Smerlak}, J. Theor. Biol. 522, Article ID 110699, 4 p. (2021; Zbl 1465.92080) Full Text: DOI DOI
Alberti, F.; Baake, E.; Letter, I.; Martínez, S. Solving the migration-recombination equation from a genealogical point of view. (English) Zbl 1465.92072 J. Math. Biol. 82, No. 5, Paper No. 41, 27 p. (2021). MSC: 92D15 60J20 PDFBibTeX XMLCite \textit{F. Alberti} et al., J. Math. Biol. 82, No. 5, Paper No. 41, 27 p. (2021; Zbl 1465.92072) Full Text: DOI arXiv
Coron, Camille; Costa, Manon; Laroche, Fabien; Leman, Hélène; Smadi, Charline Emergence of homogamy in a two-loci stochastic population model. (English) Zbl 1465.92085 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 469-508 (2021). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{C. Coron} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 469--508 (2021; Zbl 1465.92085) Full Text: Link
Shivam, Saumya; Baldwin, Christopher L.; Barton, John; Kardar, Mehran; Sondhi, S. L. Studying viral populations with tools from quantum spin chains. (English) Zbl 1458.92058 J. Stat. Phys. 182, No. 2, Paper No. 38, 13 p. (2021). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92D15 92D10 81T99 PDFBibTeX XMLCite \textit{S. Shivam} et al., J. Stat. Phys. 182, No. 2, Paper No. 38, 13 p. (2021; Zbl 1458.92058) Full Text: DOI arXiv
Vogl, Claus; Mikula, Lynette C.; Burden, Conrad J. Maximum likelihood estimators for scaled mutation rates in an equilibrium mutation-drift model. (English) Zbl 1516.92072 Theor. Popul. Biol. 134, 106-118 (2020). MSC: 92D15 92D10 62P10 PDFBibTeX XMLCite \textit{C. Vogl} et al., Theor. Popul. Biol. 134, 106--118 (2020; Zbl 1516.92072) Full Text: DOI arXiv
Blath, Jochen; Tóbiás, András Invasion and fixation of microbial dormancy traits under competitive pressure. (English) Zbl 1454.60134 Stochastic Processes Appl. 130, No. 12, 7363-7395 (2020). MSC: 60J85 92C99 PDFBibTeX XMLCite \textit{J. Blath} and \textit{A. Tóbiás}, Stochastic Processes Appl. 130, No. 12, 7363--7395 (2020; Zbl 1454.60134) Full Text: DOI arXiv
Gonzalez Casanova, Adrian; Smadi, Charline On \(\Lambda\)-Fleming-Viot processes with general frequency-dependent selection. (English) Zbl 1457.60079 J. Appl. Probab. 57, No. 4, 1162-1197 (2020). MSC: 60G99 60K35 92D25 PDFBibTeX XMLCite \textit{A. Gonzalez Casanova} and \textit{C. Smadi}, J. Appl. Probab. 57, No. 4, 1162--1197 (2020; Zbl 1457.60079) Full Text: DOI
Wakeley, John Developments in coalescent theory from single loci to chromosomes. (English) Zbl 1516.92034 Theor. Popul. Biol. 133, 56-64 (2020). MSC: 92D10 92D15 PDFBibTeX XMLCite \textit{J. Wakeley}, Theor. Popul. Biol. 133, 56--64 (2020; Zbl 1516.92034) Full Text: DOI
Hamel, F.; Lavigne, F.; Martin, G.; Roques, L. Dynamics of adaptation in an anisotropic phenotype-fitness landscape. (English) Zbl 1437.35670 Nonlinear Anal., Real World Appl. 54, Article ID 103107, 33 p. (2020). MSC: 35Q92 92D15 35A01 35K65 35Q49 92D25 92C15 PDFBibTeX XMLCite \textit{F. Hamel} et al., Nonlinear Anal., Real World Appl. 54, Article ID 103107, 33 p. (2020; Zbl 1437.35670) Full Text: DOI DOI
González Casanova, Adrián; Miró Pina, Verónica; Pardo, Juan Carlos The Wright-Fisher model with efficiency. (English) Zbl 1516.92082 Theor. Popul. Biol. 132, 33-46 (2020). MSC: 92D25 92D10 92D15 PDFBibTeX XMLCite \textit{A. González Casanova} et al., Theor. Popul. Biol. 132, 33--46 (2020; Zbl 1516.92082) Full Text: DOI arXiv
Yakushkina, Tatiana; Saakian, David B. Eigen model version of evolution with directed migration. (English) Zbl 07808848 Chin. J. Phys., Taipei 57, 309-313 (2019). MSC: 92Dxx 92Cxx 60Jxx PDFBibTeX XMLCite \textit{T. Yakushkina} and \textit{D. B. Saakian}, Chin. J. Phys., Taipei 57, 309--313 (2019; Zbl 07808848) Full Text: DOI
Marguet, Aline A law of large numbers for branching Markov processes by the ergodicity of ancestral lineages. (English) Zbl 1506.60097 ESAIM, Probab. Stat. 23, 638-661 (2019). MSC: 60J80 60F15 60J85 92D25 PDFBibTeX XMLCite \textit{A. Marguet}, ESAIM, Probab. Stat. 23, 638--661 (2019; Zbl 1506.60097) Full Text: DOI arXiv
Kliem, Sandra; Winter, Anita Evolving phylogenies of trait-dependent branching with mutation and competition. I: existence. (English) Zbl 1427.60204 Stochastic Processes Appl. 129, No. 12, 4837-4877 (2019). MSC: 60K35 60J25 60J80 92D25 PDFBibTeX XMLCite \textit{S. Kliem} and \textit{A. Winter}, Stochastic Processes Appl. 129, No. 12, 4837--4877 (2019; Zbl 1427.60204) Full Text: DOI arXiv
Hofrichter, Julian; Jost, Jürgen; Tran, Tat Dat The geometry of recombination. (English) Zbl 1429.92107 Inf. Geom. 2, No. 2, 177-207 (2019). MSC: 92D10 PDFBibTeX XMLCite \textit{J. Hofrichter} et al., Inf. Geom. 2, No. 2, 177--207 (2019; Zbl 1429.92107) Full Text: DOI
Wirtz, Johannes; Wiehe, Thomas The evolving Moran genealogy. (English) Zbl 1425.92143 Theor. Popul. Biol. 130, 94-105 (2019). MSC: 92D15 60J28 PDFBibTeX XMLCite \textit{J. Wirtz} and \textit{T. Wiehe}, Theor. Popul. Biol. 130, 94--105 (2019; Zbl 1425.92143) Full Text: DOI arXiv
Martínez, Servet Corrigendum to: “A probabilistic analysis of a discrete-time evolution in recombination”. (English) Zbl 1469.92078 Adv. Appl. Math. 110, 403-411 (2019). MSC: 92D10 92D15 60J20 PDFBibTeX XMLCite \textit{S. Martínez}, Adv. Appl. Math. 110, 403--411 (2019; Zbl 1469.92078) Full Text: DOI
Koskela, Jere; Berenguer, Maite Wilke Robust model selection between population growth and multiple merger coalescents. (English) Zbl 1425.92141 Math. Biosci. 311, 1-12 (2019). MSC: 92D15 92D10 62P10 62H15 PDFBibTeX XMLCite \textit{J. Koskela} and \textit{M. W. Berenguer}, Math. Biosci. 311, 1--12 (2019; Zbl 1425.92141) Full Text: DOI arXiv Link
Marguet, Aline Uniform sampling in a structured branching population. (English) Zbl 1428.62377 Bernoulli 25, No. 4A, 2649-2695 (2019). MSC: 60J80 60J85 92D25 PDFBibTeX XMLCite \textit{A. Marguet}, Bernoulli 25, No. 4A, 2649--2695 (2019; Zbl 1428.62377) Full Text: DOI arXiv Euclid
Cordero, F.; Möhle, M. On the stationary distribution of the block counting process for population models with mutation and selection. (English) Zbl 1415.92145 J. Math. Anal. Appl. 474, No. 2, 1049-1081 (2019). MSC: 92D25 92D15 PDFBibTeX XMLCite \textit{F. Cordero} and \textit{M. Möhle}, J. Math. Anal. Appl. 474, No. 2, 1049--1081 (2019; Zbl 1415.92145) Full Text: DOI arXiv
Semenov, Yuri S.; Novozhilov, Artem S. Generalized quasispecies model on finite metric spaces: isometry groups and spectral properties of evolutionary matrices. (English) Zbl 1410.92079 J. Math. Biol. 78, No. 3, 837-878 (2019). MSC: 92D15 PDFBibTeX XMLCite \textit{Y. S. Semenov} and \textit{A. S. Novozhilov}, J. Math. Biol. 78, No. 3, 837--878 (2019; Zbl 1410.92079) Full Text: DOI arXiv
Anderson, David F.; Higham, Desmond J.; Leite, Saul C.; Williams, Ruth J. On constrained Langevin equations and (bio)chemical reaction networks. (English) Zbl 1481.60146 Multiscale Model. Simul. 17, No. 1, 1-30 (2019). MSC: 60J28 60J60 65C30 92C45 60H10 65C40 92C40 PDFBibTeX XMLCite \textit{D. F. Anderson} et al., Multiscale Model. Simul. 17, No. 1, 1--30 (2019; Zbl 1481.60146) Full Text: DOI
Wedagedera, Janak R.; Burroughs, N. J. Comparison of a dual strategy for T-cell activation under inhibition of the CD4 receptor. (English) Zbl 1409.92082 J. Biol. Syst. 26, No. 2, 321-338 (2018). MSC: 92C37 92C40 60F10 PDFBibTeX XMLCite \textit{J. R. Wedagedera} and \textit{N. J. Burroughs}, J. Biol. Syst. 26, No. 2, 321--338 (2018; Zbl 1409.92082) Full Text: DOI
Baake, Ellen; Cordero, Fernando; Hummel, Sebastian A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent. (English) Zbl 1408.92015 J. Math. Biol. 77, No. 3, 795-820 (2018). MSC: 92D15 60J75 05C90 PDFBibTeX XMLCite \textit{E. Baake} et al., J. Math. Biol. 77, No. 3, 795--820 (2018; Zbl 1408.92015) Full Text: DOI arXiv
Ram, Yoav; Altenberg, Lee; Liberman, Uri; Feldman, Marcus W. Generation of variation and a modified mean fitness principle: necessity is the mother of genetic invention. (English) Zbl 1405.92206 Theor. Popul. Biol. 123, 1-8 (2018). MSC: 92D15 92D10 35Q92 PDFBibTeX XMLCite \textit{Y. Ram} et al., Theor. Popul. Biol. 123, 1--8 (2018; Zbl 1405.92206) Full Text: DOI
Baake, Ellen; Wakolbinger, Anton Lines of descent under selection. (English) Zbl 1396.92055 J. Stat. Phys. 172, No. 1, 156-174 (2018). MSC: 92D15 05C90 PDFBibTeX XMLCite \textit{E. Baake} and \textit{A. Wakolbinger}, J. Stat. Phys. 172, No. 1, 156--174 (2018; Zbl 1396.92055) Full Text: DOI arXiv
Bergman, Juraj; Schrempf, Dominik; Kosiol, Carolin; Vogl, Claus Inference in population genetics using forward and backward, discrete and continuous time processes. (English) Zbl 1397.92449 J. Theor. Biol. 439, 166-180 (2018). MSC: 92D10 92D15 60J20 60J70 PDFBibTeX XMLCite \textit{J. Bergman} et al., J. Theor. Biol. 439, 166--180 (2018; Zbl 1397.92449) Full Text: DOI Link
Rosenberg, Noah A. (ed.) The 2018 Marcus W. Feldman prize in theoretical population biology. (English) Zbl 1397.01035 Theor. Popul. Biol. 119, 1-2 (2018). MSC: 01A70 92D15 92D10 PDFBibTeX XMLCite \textit{N. A. Rosenberg} (ed.), Theor. Popul. Biol. 119, 1--2 (2018; Zbl 1397.01035) Full Text: DOI
Kukla, Jonas; Möhle, Martin On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent. (English) Zbl 1390.60089 Stochastic Processes Appl. 128, No. 3, 939-962 (2018). MSC: 60F05 60J27 92D15 PDFBibTeX XMLCite \textit{J. Kukla} and \textit{M. Möhle}, Stochastic Processes Appl. 128, No. 3, 939--962 (2018; Zbl 1390.60089) Full Text: DOI arXiv
Saakian, David B.; Ghazaryan, Makar; Bratus, Alexander; Hu, Chin-Kun Biological evolution model with conditional mutation rates. (English) Zbl 1400.92376 Physica A 474, 32-38 (2017). MSC: 92D15 92D10 PDFBibTeX XMLCite \textit{D. B. Saakian} et al., Physica A 474, 32--38 (2017; Zbl 1400.92376) Full Text: DOI
Cloez, Bertrand; Dessalles, Renaud; Genadot, Alexandre; Malrieu, Florent; Marguet, Aline; Yvinec, Romain Probabilistic and piecewise deterministic models in biology. (English. French summary) Zbl 1383.92011 ESAIM, Proc. Surv. 60, 225-245 (2017). MSC: 92B05 60J20 PDFBibTeX XMLCite \textit{B. Cloez} et al., ESAIM, Proc. Surv. 60, 225--245 (2017; Zbl 1383.92011) Full Text: DOI arXiv
Bienvenu, François; Akçay, Erol; Legendre, Stéphane; McCandlish, David M. The genealogical decomposition of a matrix population model with applications to the aggregation of stages. (English) Zbl 1381.92074 Theor. Popul. Biol. 115, 69-80 (2017). MSC: 92D25 60J20 PDFBibTeX XMLCite \textit{F. Bienvenu} et al., Theor. Popul. Biol. 115, 69--80 (2017; Zbl 1381.92074) Full Text: DOI DOI
Huillet, Thierry E. Random evolutionary dynamics driven by fitness and house-of-cards mutations: sampling formulae. (English) Zbl 1372.92064 J. Stat. Phys. 168, No. 1, 15-42 (2017). MSC: 92D10 92D25 PDFBibTeX XMLCite \textit{T. E. Huillet}, J. Stat. Phys. 168, No. 1, 15--42 (2017; Zbl 1372.92064) Full Text: DOI arXiv
Martínez, Servet A probabilistic analysis of a discrete-time evolution in recombination. (English) Zbl 1371.92088 Adv. Appl. Math. 91, 115-136 (2017); corrigendum ibid. 110, 403-411 (2019). MSC: 92D10 92D15 60J20 PDFBibTeX XMLCite \textit{S. Martínez}, Adv. Appl. Math. 91, 115--136 (2017; Zbl 1371.92088) Full Text: DOI arXiv
Schrempf, Dominik; Hobolth, Asger An alternative derivation of the stationary distribution of the multivariate neutral Wright-Fisher model for low mutation rates with a view to mutation rate estimation from site frequency data. (English) Zbl 1369.92075 Theor. Popul. Biol. 114, 88-94 (2017). MSC: 92D10 92D15 PDFBibTeX XMLCite \textit{D. Schrempf} and \textit{A. Hobolth}, Theor. Popul. Biol. 114, 88--94 (2017; Zbl 1369.92075) Full Text: DOI
Burden, Conrad J.; Tang, Yurong Rate matrix estimation from site frequency data. (English) Zbl 1368.92116 Theor. Popul. Biol. 113, 23-33 (2017). MSC: 92D10 62P10 92D15 PDFBibTeX XMLCite \textit{C. J. Burden} and \textit{Y. Tang}, Theor. Popul. Biol. 113, 23--33 (2017; Zbl 1368.92116) Full Text: DOI arXiv
Baake, Michael; Shamsara, Elham The recombination equation for interval partitions. (English) Zbl 1357.92050 Monatsh. Math. 182, No. 2, 243-269 (2017). MSC: 92D10 34G20 06B23 60J25 PDFBibTeX XMLCite \textit{M. Baake} and \textit{E. Shamsara}, Monatsh. Math. 182, No. 2, 243--269 (2017; Zbl 1357.92050) Full Text: DOI arXiv
Cordero, Fernando Common ancestor type distribution: a Moran model and its deterministic limit. (English) Zbl 1353.92066 Stochastic Processes Appl. 127, No. 2, 590-621 (2017). MSC: 92D15 92D10 60G55 60J60 60J28 60J27 PDFBibTeX XMLCite \textit{F. Cordero}, Stochastic Processes Appl. 127, No. 2, 590--621 (2017; Zbl 1353.92066) Full Text: DOI arXiv
Griffiths, Robert C.; Jenkins, Paul A.; Lessard, Sabin A coalescent dual process for a Wright-Fisher diffusion with recombination and its application to haplotype partitioning. (English) Zbl 1367.92071 Theor. Popul. Biol. 112, 126-138 (2016); corrigendum ibid. 130, 203 (2019). MSC: 92D10 92D15 60J20 PDFBibTeX XMLCite \textit{R. C. Griffiths} et al., Theor. Popul. Biol. 112, 126--138 (2016; Zbl 1367.92071) Full Text: DOI arXiv
Baake, Ellen; Baake, Michael Haldane linearisation done right: solving the nonlinear recombination equation the easy way. (English) Zbl 1353.92064 Discrete Contin. Dyn. Syst. 36, No. 12, 6645-6656 (2016). MSC: 92D10 34G20 06B23 39A12 PDFBibTeX XMLCite \textit{E. Baake} and \textit{M. Baake}, Discrete Contin. Dyn. Syst. 36, No. 12, 6645--6656 (2016; Zbl 1353.92064) Full Text: DOI arXiv
Semenov, Yuri S.; Novozhilov, Artem S. On Eigen’s quasispecies model, two-valued fitness landscapes, and isometry groups acting on finite metric spaces. (English) Zbl 1348.92115 Bull. Math. Biol. 78, No. 5, 991-1038 (2016). MSC: 92D15 92D25 PDFBibTeX XMLCite \textit{Y. S. Semenov} and \textit{A. S. Novozhilov}, Bull. Math. Biol. 78, No. 5, 991--1038 (2016; Zbl 1348.92115) Full Text: DOI arXiv
Esser, Mareike; Probst, Sebastian; Baake, Ellen Partitioning, duality, and linkage disequilibria in the Moran model with recombination. (English) Zbl 1359.92080 J. Math. Biol. 73, No. 1, 161-197 (2016). Reviewer: Carlos A. dos Santos Braumann (Évora) MSC: 92D10 92D15 60J28 PDFBibTeX XMLCite \textit{M. Esser} et al., J. Math. Biol. 73, No. 1, 161--197 (2016; Zbl 1359.92080) Full Text: DOI arXiv
Baake, Ellen; Baake, Michael; Salamat, Majid Erratum and addendum to: “The general recombination equation in continuous time and its solution”. (English) Zbl 1326.34080 Discrete Contin. Dyn. Syst. 36, No. 4, 2365-2366 (2016). MSC: 34C60 06B23 34A33 34G20 92D10 PDFBibTeX XMLCite \textit{E. Baake} et al., Discrete Contin. Dyn. Syst. 36, No. 4, 2365--2366 (2016; Zbl 1326.34080) Full Text: DOI
Salamat, Majid; Baake, Michael; Baake, Ellen The general recombination equation in continuous time and its solution. (English) Zbl 1325.34064 Discrete Contin. Dyn. Syst. 36, No. 1, 63-95 (2016); erratum and addendum ibid. 36, No. 4, 2365-2366 (2016). MSC: 34C60 06B23 34A33 34G20 92D10 PDFBibTeX XMLCite \textit{M. Salamat} et al., Discrete Contin. Dyn. Syst. 36, No. 1, 63--95 (2016; Zbl 1325.34064) Full Text: DOI arXiv
Vogl, Claus; Bergman, Juraj Inference of directional selection and mutation parameters assuming equilibrium. (English) Zbl 1343.92325 Theor. Popul. Biol. 106, 71-82 (2015). MSC: 92D10 92D15 PDFBibTeX XMLCite \textit{C. Vogl} and \textit{J. Bergman}, Theor. Popul. Biol. 106, 71--82 (2015; Zbl 1343.92325) Full Text: DOI
Matsuoka, Takeshi; Tanaka, Shigenori; Ebina, Kuniyoshi Systems approach to excitation-energy and electron transfer reaction networks in photosystem II complex: model studies for chlorophyll \(a\) fluorescence induction kinetics. (English) Zbl 1343.92164 J. Theor. Biol. 380, 220-237 (2015). MSC: 92C40 92C80 PDFBibTeX XMLCite \textit{T. Matsuoka} et al., J. Theor. Biol. 380, 220--237 (2015; Zbl 1343.92164) Full Text: DOI
Lenz, Ute; Kluth, Sandra; Baake, Ellen; Wakolbinger, Anton Looking down in the ancestral selection graph: a probabilistic approach to the common ancestor type distribution. (English) Zbl 1342.92141 Theor. Popul. Biol. 103, 27-37 (2015). MSC: 92D15 92D10 PDFBibTeX XMLCite \textit{U. Lenz} et al., Theor. Popul. Biol. 103, 27--37 (2015; Zbl 1342.92141) Full Text: DOI arXiv
Semenov, Yuri S.; Novozhilov, Artem S. Exact solutions for the selection-mutation equilibrium in the Crow-Kimura evolutionary model. (English) Zbl 1328.92051 Math. Biosci. 266, 1-9 (2015). MSC: 92D15 92D25 15A18 PDFBibTeX XMLCite \textit{Y. S. Semenov} and \textit{A. S. Novozhilov}, Math. Biosci. 266, 1--9 (2015; Zbl 1328.92051) Full Text: DOI arXiv
Akopyan, Arseniy V.; Pirogov, Sergey A.; Rybko, Aleksandr N. Invariant measures of genetic recombination processes. (English) Zbl 1332.92036 J. Stat. Phys. 160, No. 1, 163-167 (2015). MSC: 92D10 60J28 PDFBibTeX XMLCite \textit{A. V. Akopyan} et al., J. Stat. Phys. 160, No. 1, 163--167 (2015; Zbl 1332.92036) Full Text: DOI arXiv
Cerf, Raphaël Critical population and error threshold on the sharp peak landscape for a Moran model. (English) Zbl 1339.60020 Mem. Am. Math. Soc. 1096, v, 86 p. (2015). MSC: 60F10 60F99 60J80 60J85 92D25 PDFBibTeX XMLCite \textit{R. Cerf}, Critical population and error threshold on the sharp peak landscape for a Moran model. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1339.60020) Full Text: DOI arXiv
Mayer, Hannah; Bovier, Anton Stochastic modelling of T-cell activation. (English) Zbl 1322.60216 J. Math. Biol. 70, No. 1-2, 99-132 (2015). MSC: 60K35 60F10 60K37 92C37 92C50 60F05 60F17 62P10 PDFBibTeX XMLCite \textit{H. Mayer} and \textit{A. Bovier}, J. Math. Biol. 70, No. 1--2, 99--132 (2015; Zbl 1322.60216) Full Text: DOI arXiv
Semenov, Yuri S.; Bratus, Alexander S.; Novozhilov, Artem S. On the behavior of the leading eigenvalue of Eigen’s evolutionary matrices. (English) Zbl 1314.92113 Math. Biosci. 258, 134-147 (2014). MSC: 92D15 92D25 15A18 PDFBibTeX XMLCite \textit{Y. S. Semenov} et al., Math. Biosci. 258, 134--147 (2014; Zbl 1314.92113) Full Text: DOI arXiv
Vogl, Claus Estimating the scaled mutation rate and mutation bias with site frequency data. (English) Zbl 1304.92100 Theor. Popul. Biol. 98, 19-27 (2014). MSC: 92D10 60J20 PDFBibTeX XMLCite \textit{C. Vogl}, Theor. Popul. Biol. 98, 19--27 (2014; Zbl 1304.92100) Full Text: DOI
Wang, Ying Variational characterization of multitype Galton-Watson branching processes. (English) Zbl 1305.60085 Acta Math. Appl. Sin., Engl. Ser. 30, No. 1, 27-36 (2014). MSC: 60J80 92D25 90C46 PDFBibTeX XMLCite \textit{Y. Wang}, Acta Math. Appl. Sin., Engl. Ser. 30, No. 1, 27--36 (2014; Zbl 1305.60085) Full Text: DOI
Baake, Ellen; Von Wangenheim, Ute Single-crossover recombination and ancestral recombination trees. (English) Zbl 1284.92063 J. Math. Biol. 68, No. 6, 1371-1402 (2014). MSC: 92D15 92D10 60J28 60F15 PDFBibTeX XMLCite \textit{E. Baake} and \textit{U. Von Wangenheim}, J. Math. Biol. 68, No. 6, 1371--1402 (2014; Zbl 1284.92063) Full Text: DOI arXiv
Geyrhofer, Lukas; Hallatschek, Oskar Stochastic delocalization of finite populations. (English) Zbl 1456.92116 J. Stat. Mech. Theory Exp. 2013, No. 1, Paper No. P01007, 24 p. (2013). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{L. Geyrhofer} and \textit{O. Hallatschek}, J. Stat. Mech. Theory Exp. 2013, No. 1, Paper No. P01007, 24 p. (2013; Zbl 1456.92116) Full Text: DOI arXiv
Kluth, Sandra; Baake, Ellen The Moran model with selection: fixation probabilities, ancestral lines, and an alternative particle representation. (English) Zbl 1303.92072 Theor. Popul. Biol. 90, 104-112 (2013). MSC: 92D10 92D15 PDFBibTeX XMLCite \textit{S. Kluth} and \textit{E. Baake}, Theor. Popul. Biol. 90, 104--112 (2013; Zbl 1303.92072) Full Text: DOI arXiv
Bansaye, Vincent; Lambert, Amaury New approaches to source-sink metapopulations decoupling demography and dispersal. (English) Zbl 1296.92197 Theor. Popul. Biol. 88, 31-46 (2013). MSC: 92D25 91D20 60J70 PDFBibTeX XMLCite \textit{V. Bansaye} and \textit{A. Lambert}, Theor. Popul. Biol. 88, 31--46 (2013; Zbl 1296.92197) Full Text: DOI arXiv
Evans, Steven N.; Steinsaltz, David; Wachter, Kenneth W. A mutation-selection model with recombination for general genotypes. (English) Zbl 1291.92088 Mem. Am. Math. Soc. 1044, viii, 128 p. (2013). MSC: 92D15 60G57 37N25 60G55 92D10 PDFBibTeX XMLCite \textit{S. N. Evans} et al., A mutation-selection model with recombination for general genotypes. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1291.92088) Full Text: DOI arXiv
Kluth, Sandra; Hustedt, Thiemo; Baake, Ellen The common ancestor process revisited. (English) Zbl 1310.92039 Bull. Math. Biol. 75, No. 11, 2003-2027 (2013). MSC: 92D15 PDFBibTeX XMLCite \textit{S. Kluth} et al., Bull. Math. Biol. 75, No. 11, 2003--2027 (2013; Zbl 1310.92039) Full Text: DOI arXiv
Antoneli, Fernando; Bosco, Francisco; Castro, Diogo; Janini, Luiz Mario Virus replication as a phenotypic version of polynucleotide evolution. (English) Zbl 1310.92036 Bull. Math. Biol. 75, No. 4, 602-628 (2013). MSC: 92D10 92D15 PDFBibTeX XMLCite \textit{F. Antoneli} et al., Bull. Math. Biol. 75, No. 4, 602--628 (2013; Zbl 1310.92036) Full Text: DOI arXiv
Vogl, Claus; Clemente, Florian The allele-frequency spectrum in a decoupled Moran model with mutation, drift, and directional selection, assuming small mutation rates. (English) Zbl 1322.92039 Theor. Popul. Biol. 81, No. 3, 197-209 (2012). MSC: 92D10 92D15 PDFBibTeX XMLCite \textit{C. Vogl} and \textit{F. Clemente}, Theor. Popul. Biol. 81, No. 3, 197--209 (2012; Zbl 1322.92039) Full Text: DOI
Desai, Michael M.; Nicolaisen, Lauren E.; Walczak, Aleksandra M.; Plotkin, Joshua B. The structure of allelic diversity in the presence of purifying selection. (English) Zbl 1322.92045 Theor. Popul. Biol. 81, No. 2, 144-157 (2012). MSC: 92D15 92D10 PDFBibTeX XMLCite \textit{M. M. Desai} et al., Theor. Popul. Biol. 81, No. 2, 144--157 (2012; Zbl 1322.92045) Full Text: DOI arXiv Link
Klaere, Steffen; Liebscher, Volkmar An algebraic analysis of the two state Markov model on tripod trees. (English) Zbl 1241.92057 Math. Biosci. 237, No. 1-2, 38-48 (2012). MSC: 92D15 60J20 62P10 PDFBibTeX XMLCite \textit{S. Klaere} and \textit{V. Liebscher}, Math. Biosci. 237, No. 1--2, 38--48 (2012; Zbl 1241.92057) Full Text: DOI arXiv
Gill, Wonpyong Crossing time through the fitness barrier in an asymmetric multiplicative or additive landscape in the mutation-selection model. (English) Zbl 1258.92036 Int. J. Mod. Phys. C 22, No. 11, 1293-1307 (2011). MSC: 92D40 92D15 PDFBibTeX XMLCite \textit{W. Gill}, Int. J. Mod. Phys. C 22, No. 11, 1293--1307 (2011; Zbl 1258.92036) Full Text: DOI
Kirakosyan, Zara; Saakian, David B.; Hu, Chin-Kun Finite genome length corrections for the mean fitness and gene probabilities in evolution models. (English) Zbl 1226.82032 J. Stat. Phys. 144, No. 1, 198-212 (2011). MSC: 82C05 92D20 92D10 35F21 35Q92 PDFBibTeX XMLCite \textit{Z. Kirakosyan} et al., J. Stat. Phys. 144, No. 1, 198--212 (2011; Zbl 1226.82032) Full Text: DOI arXiv
Ancliff, Mark; Park, Jeong-Man Spin coherent state representation of the Crow-Kimura and Eigen models of quasispecies theory. (English) Zbl 1219.82107 J. Stat. Phys. 143, No. 4, 636-656 (2011). MSC: 82C05 92D15 92D25 PDFBibTeX XMLCite \textit{M. Ancliff} and \textit{J.-M. Park}, J. Stat. Phys. 143, No. 4, 636--656 (2011; Zbl 1219.82107) Full Text: DOI
Obermayer, Benedikt; Frey, Erwin Error thresholds for self- and cross-specific enzymatic replication. (English) Zbl 1414.92137 J. Theor. Biol. 267, No. 4, 653-662 (2010). MSC: 92C40 92C45 PDFBibTeX XMLCite \textit{B. Obermayer} and \textit{E. Frey}, J. Theor. Biol. 267, No. 4, 653--662 (2010; Zbl 1414.92137) Full Text: DOI arXiv
Wu, Jihua; Susko, Edward Letter to editor: Rate-variation need not defeat phylogenetic inference through pairwise sequence comparisons. (English) Zbl 1406.92445 J. Theor. Biol. 263, No. 4, 587-589 (2010). MSC: 92D15 92D20 PDFBibTeX XMLCite \textit{J. Wu} and \textit{E. Susko}, J. Theor. Biol. 263, No. 4, 587--589 (2010; Zbl 1406.92445) Full Text: DOI
Bobrowski, Adam; Wojdyła, Tomasz; Kimmel, Marek Asymptotic behavior of a Moran model with mutations, drift and recombination among multiple loci. (English) Zbl 1205.92051 J. Math. Biol. 61, No. 3, 455-473 (2010). MSC: 92D15 92D10 60J20 47D07 PDFBibTeX XMLCite \textit{A. Bobrowski} et al., J. Math. Biol. 61, No. 3, 455--473 (2010; Zbl 1205.92051) Full Text: DOI
von Wangenheim, Ute; Baake, Ellen; Baake, Michael Single-crossover recombination in discrete time. (English) Zbl 1208.92050 J. Math. Biol. 60, No. 5, 727-760 (2010). MSC: 92D10 39A60 37N25 60J20 06A07 PDFBibTeX XMLCite \textit{U. von Wangenheim} et al., J. Math. Biol. 60, No. 5, 727--760 (2010; Zbl 1208.92050) Full Text: DOI arXiv
Barton, Nick H.; Coe, J. B. On the application of statistical physics to evolutionary biology. (English) Zbl 1402.92308 J. Theor. Biol. 259, No. 2, 317-324 (2009). MSC: 92D15 82B30 92D10 PDFBibTeX XMLCite \textit{N. H. Barton} and \textit{J. B. Coe}, J. Theor. Biol. 259, No. 2, 317--324 (2009; Zbl 1402.92308) Full Text: DOI HAL