Mesoscopic models for propagation in biology

Nonlinear stability of chemotactic clustering with discontinuous advection

Autorzy: Vincent Calvez, Franca Hoffmann
Opublikowane w: ARXIV, 2020
Wydawca: arXiv
DOI: 10.48550/arXiv.2009.11048

The Cauchy problem for the infinitesimal model in the regime of small variance

Autorzy: Florian Patout
Opublikowane w: 2020
Wydawca: arXiv

Large deviations for velocity-jump processes and non-local Hamilton-Jacobi equations

Autorzy: Bouin, Emeric; Calvez, Vincent; Grenier, Emmanuel; Nadin, Grégoire
Opublikowane w: https://hal.archives-ouvertes.fr/hal-01344939, 2019
Wydawca: HAL archives-ouvertes

Non-local competition slows down front acceleration during dispersal evolution

Autorzy: Vincent Calvez, Christopher Henderson, Sepideh Mirrahimi, Olga Turanova, Thierry Dumont
Opublikowane w: 2018
Wydawca: arXiv

Chemotactic waves of bacteria at the mesoscale

Autorzy: Vincent Calvez
Opublikowane w: 2016
Wydawca: To appear in J. European Math Society

Influence of a mortality trade-off on the spreading rate of cane toads fronts

Autorzy: Bouin , Emeric; Chan , Matthew H.; Henderson , Christopher; Kim , Peter S.
Opublikowane w: 2017, 2018
Wydawca: To appear in Comm. Partial Differential Equations

Existence of recombination-selection equilibria for sexual populations

Autorzy: Thibault Bourgeron, Vincent Calvez, Jimmy Garnier, Thomas Lepoutre
Opublikowane w: 2017
Wydawca: arXiv

Long time evolutionary dynamics of phenotypically structured populations in time periodic environments

Autorzy: FIGUEROA IGLESIAS , Susely; Mirrahimi , Sepideh
Opublikowane w: https://hal.archives-ouvertes.fr/hal-01727549, Numer 2, 2018
Wydawca: To appear in SIAM J. Math Analysis

A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium

Autorzy: Nathalie Ayi, Maxime Herda, Hélène Hivert, Isabelle Tristani
Opublikowane w: Comptes Rendus. Mathématique, Numer 358/3, 2020, Strona(/y) 333-340, ISSN 1778-3569
Wydawca: Académie des Sciences
DOI: 10.5802/crmath.46

Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches

Autorzy: Vincent Calvez, Susely Figueroa Iglesias, Hélène Hivert, Sylvie Méléard, Anna Melnykova, Samuel Nordmann
Opublikowane w: ESAIM: Proceedings and Surveys, Numer 67, 2020, Strona(/y) 135-160, ISSN 2267-3059
Wydawca: SMAI
DOI: 10.1051/proc/202067009

Uniqueness of the viscosity solution of a constrained Hamilton–Jacobi equation

Autorzy: Vincent Calvez, King-Yeung Lam
Opublikowane w: Calculus of Variations and Partial Differential Equations, Numer 59/5, 2020, ISSN 0944-2669
Wydawca: Springer Verlag
DOI: 10.1007/s00526-020-01819-0

Inside dynamics for stage-structured integrodifference equations

Autorzy: Nathan G. Marculis, Jimmy Garnier, Roger Lui, Mark A. Lewis
Opublikowane w: Journal of Mathematical Biology, Numer 80/1-2, 2020, Strona(/y) 157-187, ISSN 0303-6812
Wydawca: Springer Verlag
DOI: 10.1007/s00285-019-01378-9

A Hamilton–Jacobi method to describe the evolutionary equilibria in heterogeneous environments and with non-vanishing effects of mutations

Autorzy: Sylvain Gandon, Sepideh Mirrahimi
Opublikowane w: Comptes Rendus Mathematique, Numer 355/2, 2017, Strona(/y) 155-160, ISSN 1631-073X
Wydawca: Elsevier Masson
DOI: 10.1016/j.crma.2016.12.001

Super-linear spreading in local bistable cane toads equations

Autorzy: Emeric Bouin, Christopher Henderson
Opublikowane w: Nonlinearity, Numer 30/4, 2017, Strona(/y) 1356-1375, ISSN 0951-7715
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aa5d65

Blow-Up Phenomena for Gradient Flows of Discrete Homogeneous Functionals

Autorzy: Vincent Calvez, Thomas O. Gallouët
Opublikowane w: Applied Mathematics & Optimization, 2017, ISSN 0095-4616
Wydawca: Springer Verlag
DOI: 10.1007/s00245-017-9443-z

Traveling wave and aggregation in a flux-limited Keller-Segel model

Autorzy: Vincent Calvez, Benoȋt Perthame, Shugo Yasuda
Opublikowane w: Kinetic & Related Models, Numer 11/4, 2018, Strona(/y) 891-909, ISSN 1937-5077
Wydawca: AIMS
DOI: 10.3934/krm.2018035

Spreading in kinetic reaction–transport equations in higher velocity dimensions

Autorzy: EMERIC BOUIN, NILS CAILLERIE
Opublikowane w: European Journal of Applied Mathematics, 2018, Strona(/y) 1-29, ISSN 0956-7925
Wydawca: Cambridge University Press
DOI: 10.1017/S0956792518000037

The Bramson logarithmic delay in the cane toads equations

Autorzy: Emeric Bouin, Christopher Henderson, Lenya Ryzhik
Opublikowane w: Quarterly of Applied Mathematics, Numer 75/4, 2017, Strona(/y) 599-634, ISSN 0033-569X
Wydawca: Brown University
DOI: 10.1090/qam/1470

Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability

Autorzy: Vincent Calvez, Laurent Gosse, Monika Twarogowska
Opublikowane w: SIAM Journal on Applied Mathematics, Numer 77/6, 2017, Strona(/y) 2224-2249, ISSN 0036-1399
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1108108

A Hamilton–Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments

Autorzy: Sepideh Mirrahimi
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 27/13, 2017, Strona(/y) 2425-2460, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/S0218202517500488

Beneficial mutation-selection dynamics in finite asexual populations: a free boundary approach

Autorzy: Lionel Roques, Jimmy Garnier, Guillaume Martin
Opublikowane w: Scientific Reports, Numer 7/1, 2017, ISSN 2045-2322
Wydawca: Nature Publishing Group
DOI: 10.1038/s41598-017-17212-5

A first-order asymptotic preserving scheme for front propagation in a one-dimensional kinetic reaction–transport equation

Autorzy: Hélène Hivert
Opublikowane w: Journal of Computational Physics, Numer 367, 2018, Strona(/y) 253-278, ISSN 0021-9991
Wydawca: Academic Press
DOI: 10.1016/j.jcp.2018.04.036

Thin Front Limit of an Integro-differential Fisher-KPP Equation with Fat-Tailed Kernels

Autorzy: Emeric Bouin, Jimmy Garnier, Christopher Henderson, Florian Patout
Opublikowane w: SIAM Journal on Mathematical Analysis, Numer 50/3, 2018, Strona(/y) 3365-3394, ISSN 0036-1410
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/17M1132501

Quantitative Convergence Towards a Self-Similar Profile in an Age-Structured Renewal Equation for Subdiffusion

Autorzy: Hugues Berry, Thomas Lepoutre, Álvaro Mateos González
Opublikowane w: Acta Applicandae Mathematicae, Numer 145/1, 2016, Strona(/y) 15-45, ISSN 0167-8019
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10440-016-0048-3

Large deviations of a velocity jump process with a Hamilton–Jacobi approach

Autorzy: Nils Caillerie
Opublikowane w: Comptes Rendus Mathematique, Numer 355/2, 2017, Strona(/y) 170-175, ISSN 1631-073X
Wydawca: Elsevier Masson
DOI: 10.1016/j.crma.2016.12.011

Modeling Edar expression reveals the hidden dynamics of tooth signaling center patterning

Autorzy: Alexa Sadier, Monika Twarogowska, Klara Steklikova, Luke Hayden, Anne Lambert, Pascal Schneider, Vincent Laudet, Maria Hovorakova, Vincent Calvez, Sophie Pantalacci
Opublikowane w: PLOS Biology, Numer 17/2, 2019, Strona(/y) e3000064, ISSN 1545-7885
DOI: 10.1371/journal.pbio.3000064

Limiting Hamilton–Jacobi equation for the large scale asymptotics of a subdiffusion jump-renewal equation

Autorzy: Vincent Calvez, Pierre Gabriel, Álvaro Mateos González
Opublikowane w: Asymptotic Analysis, Numer 115/1-2, 2019, Strona(/y) 63-94, ISSN 0921-7134
Wydawca: IOS Press
DOI: 10.3233/ASY-191528

Asymptotic analysis of a quantitative genetics model with nonlinear integral operator

Autorzy: Vincent Calvez, Jimmy Garnier, Florian Patout
Opublikowane w: Journal de l’École polytechnique — Mathématiques, Numer 6, 2019, Strona(/y) 537-579, ISSN 2270-518X
DOI: 10.5802/jep.100

Catch Me If You Can: A Spatial Model for a Brake-Driven Gene Drive Reversal

Autorzy: Léo Girardin, Vincent Calvez, Florence Débarre
Opublikowane w: Bulletin of Mathematical Biology, Numer 81/12, 2019, Strona(/y) 5054-5088, ISSN 0092-8240
Wydawca: Academic Press
DOI: 10.1007/s11538-019-00668-z

A mathematical model to investigate the key drivers of the biogeography of the colon microbiota

Autorzy: Simon Labarthe, Bastien Polizzi, Thuy Phan, Thierry Goudon, Magali Ribot, Beatrice Laroche
Opublikowane w: Journal of Theoretical Biology, Numer 462, 2019, Strona(/y) 552-581, ISSN 0022-5193
Wydawca: Academic Press
DOI: 10.1016/j.jtbi.2018.12.009

Singular limits for models of selection and mutations with heavy-tailed mutation distribution

Autorzy: Sepideh Mirrahimi
Opublikowane w: Journal de Mathématiques Pures et Appliquées, Numer 134, 2020, Strona(/y) 179-203, ISSN 0021-7824
Wydawca: Elsevier BV
DOI: 10.1016/j.matpur.2019.10.001

Evolution of Specialization in Heterogeneous Environments: Equilibrium Between Selection, Mutation and Migration

Autorzy: Sepideh Mirrahimi, Sylvain Gandon
Opublikowane w: Genetics, Numer 214/2, 2020, Strona(/y) 479-491, ISSN 0016-6731
Wydawca: Genetics Society of America
DOI: 10.1534/genetics.119.302868

Propagation in a Fractional Reaction–Diffusion Equation in a Periodically Hostile Environment

Autorzy: Alexis Léculier, Sepideh Mirrahimi, Jean-Michel Roquejoffre
Opublikowane w: Journal of Dynamics and Differential Equations, 2020, ISSN 1040-7294
Wydawca: Plenum Publishers
DOI: 10.1007/s10884-020-09837-4

The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime

Autorzy: Vincent Calvez, José Antonio Carrillo, Franca Hoffmann
Opublikowane w: Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions, 2017, Strona(/y) 1-71
Wydawca: Springer International Publishing
DOI: 10.1007/978-3-319-61494-6_1

Concentration Waves of Chemotactic Bacteria: The Discrete Velocity Case

Autorzy: Vincent Calvez, Laurent Gosse, Monika Twarogowska
Opublikowane w: Innovative Algorithms and Analysis, 2017, Strona(/y) 79-109
Wydawca: Springer International Publishing
DOI: 10.1007/978-3-319-49262-9_3

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