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Mesoscopic models for propagation in biology

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Nonlinear stability of chemotactic clustering with discontinuous advection (opens in new window)

Author(s): Vincent Calvez, Franca Hoffmann
Published in: ARXIV, 2020
Publisher: arXiv
DOI: 10.48550/arXiv.2009.11048

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

Author(s): Florian Patout
Published in: 2020
Publisher: arXiv

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

Author(s): Bouin, Emeric; Calvez, Vincent; Grenier, Emmanuel; Nadin, Grégoire
Published in: https://hal.archives-ouvertes.fr/hal-01344939, 2019
Publisher: HAL archives-ouvertes

Non-local competition slows down front acceleration during dispersal evolution

Author(s): Vincent Calvez, Christopher Henderson, Sepideh Mirrahimi, Olga Turanova, Thierry Dumont
Published in: 2018
Publisher: arXiv

Chemotactic waves of bacteria at the mesoscale

Author(s): Vincent Calvez
Published in: 2016
Publisher: To appear in J. European Math Society

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

Author(s): Bouin , Emeric; Chan , Matthew H.; Henderson , Christopher; Kim , Peter S.
Published in: 2017, 2018
Publisher: To appear in Comm. Partial Differential Equations

Existence of recombination-selection equilibria for sexual populations

Author(s): Thibault Bourgeron, Vincent Calvez, Jimmy Garnier, Thomas Lepoutre
Published in: 2017
Publisher: arXiv

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

Author(s): FIGUEROA IGLESIAS , Susely; Mirrahimi , Sepideh
Published in: https://hal.archives-ouvertes.fr/hal-01727549, Issue 2, 2018
Publisher: To appear in SIAM J. Math Analysis

A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium (opens in new window)

Author(s): Nathalie Ayi, Maxime Herda, Hélène Hivert, Isabelle Tristani
Published in: Comptes Rendus. Mathématique, Issue 358/3, 2020, Page(s) 333-340, ISSN 1778-3569
Publisher: Académie des Sciences
DOI: 10.5802/crmath.46

Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches (opens in new window)

Author(s): Vincent Calvez, Susely Figueroa Iglesias, Hélène Hivert, Sylvie Méléard, Anna Melnykova, Samuel Nordmann
Published in: ESAIM: Proceedings and Surveys, Issue 67, 2020, Page(s) 135-160, ISSN 2267-3059
Publisher: SMAI
DOI: 10.1051/proc/202067009

Uniqueness of the viscosity solution of a constrained Hamilton–Jacobi equation (opens in new window)

Author(s): Vincent Calvez, King-Yeung Lam
Published in: Calculus of Variations and Partial Differential Equations, Issue 59/5, 2020, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-020-01819-0

Inside dynamics for stage-structured integrodifference equations (opens in new window)

Author(s): Nathan G. Marculis, Jimmy Garnier, Roger Lui, Mark A. Lewis
Published in: Journal of Mathematical Biology, Issue 80/1-2, 2020, Page(s) 157-187, ISSN 0303-6812
Publisher: 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 (opens in new window)

Author(s): Sylvain Gandon, Sepideh Mirrahimi
Published in: Comptes Rendus Mathematique, Issue 355/2, 2017, Page(s) 155-160, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.1016/j.crma.2016.12.001

Super-linear spreading in local bistable cane toads equations (opens in new window)

Author(s): Emeric Bouin, Christopher Henderson
Published in: Nonlinearity, Issue 30/4, 2017, Page(s) 1356-1375, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aa5d65

Blow-Up Phenomena for Gradient Flows of Discrete Homogeneous Functionals (opens in new window)

Author(s): Vincent Calvez, Thomas O. Gallouët
Published in: Applied Mathematics & Optimization, 2017, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-017-9443-z

Traveling wave and aggregation in a flux-limited Keller-Segel model (opens in new window)

Author(s): Vincent Calvez, Benoȋt Perthame, Shugo Yasuda
Published in: Kinetic & Related Models, Issue 11/4, 2018, Page(s) 891-909, ISSN 1937-5077
Publisher: AIMS
DOI: 10.3934/krm.2018035

Spreading in kinetic reaction–transport equations in higher velocity dimensions (opens in new window)

Author(s): EMERIC BOUIN, NILS CAILLERIE
Published in: European Journal of Applied Mathematics, 2018, Page(s) 1-29, ISSN 0956-7925
Publisher: Cambridge University Press
DOI: 10.1017/S0956792518000037

The Bramson logarithmic delay in the cane toads equations (opens in new window)

Author(s): Emeric Bouin, Christopher Henderson, Lenya Ryzhik
Published in: Quarterly of Applied Mathematics, Issue 75/4, 2017, Page(s) 599-634, ISSN 0033-569X
Publisher: Brown University
DOI: 10.1090/qam/1470

Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability (opens in new window)

Author(s): Vincent Calvez, Laurent Gosse, Monika Twarogowska
Published in: SIAM Journal on Applied Mathematics, Issue 77/6, 2017, Page(s) 2224-2249, ISSN 0036-1399
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1108108

A Hamilton–Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments (opens in new window)

Author(s): Sepideh Mirrahimi
Published in: Mathematical Models and Methods in Applied Sciences, Issue 27/13, 2017, Page(s) 2425-2460, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/S0218202517500488

Beneficial mutation-selection dynamics in finite asexual populations: a free boundary approach (opens in new window)

Author(s): Lionel Roques, Jimmy Garnier, Guillaume Martin
Published in: Scientific Reports, Issue 7/1, 2017, ISSN 2045-2322
Publisher: 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 (opens in new window)

Author(s): Hélène Hivert
Published in: Journal of Computational Physics, Issue 367, 2018, Page(s) 253-278, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2018.04.036

Thin Front Limit of an Integro-differential Fisher-KPP Equation with Fat-Tailed Kernels (opens in new window)

Author(s): Emeric Bouin, Jimmy Garnier, Christopher Henderson, Florian Patout
Published in: SIAM Journal on Mathematical Analysis, Issue 50/3, 2018, Page(s) 3365-3394, ISSN 0036-1410
Publisher: 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 (opens in new window)

Author(s): Hugues Berry, Thomas Lepoutre, Álvaro Mateos González
Published in: Acta Applicandae Mathematicae, Issue 145/1, 2016, Page(s) 15-45, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-016-0048-3

Large deviations of a velocity jump process with a Hamilton–Jacobi approach (opens in new window)

Author(s): Nils Caillerie
Published in: Comptes Rendus Mathematique, Issue 355/2, 2017, Page(s) 170-175, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.1016/j.crma.2016.12.011

Modeling Edar expression reveals the hidden dynamics of tooth signaling center patterning (opens in new window)

Author(s): Alexa Sadier, Monika Twarogowska, Klara Steklikova, Luke Hayden, Anne Lambert, Pascal Schneider, Vincent Laudet, Maria Hovorakova, Vincent Calvez, Sophie Pantalacci
Published in: PLOS Biology, Issue 17/2, 2019, Page(s) 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 (opens in new window)

Author(s): Vincent Calvez, Pierre Gabriel, Álvaro Mateos González
Published in: Asymptotic Analysis, Issue 115/1-2, 2019, Page(s) 63-94, ISSN 0921-7134
Publisher: IOS Press
DOI: 10.3233/ASY-191528

Asymptotic analysis of a quantitative genetics model with nonlinear integral operator (opens in new window)

Author(s): Vincent Calvez, Jimmy Garnier, Florian Patout
Published in: Journal de l’École polytechnique — Mathématiques, Issue 6, 2019, Page(s) 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 (opens in new window)

Author(s): Léo Girardin, Vincent Calvez, Florence Débarre
Published in: Bulletin of Mathematical Biology, Issue 81/12, 2019, Page(s) 5054-5088, ISSN 0092-8240
Publisher: Academic Press
DOI: 10.1007/s11538-019-00668-z

A mathematical model to investigate the key drivers of the biogeography of the colon microbiota (opens in new window)

Author(s): Simon Labarthe, Bastien Polizzi, Thuy Phan, Thierry Goudon, Magali Ribot, Beatrice Laroche
Published in: Journal of Theoretical Biology, Issue 462, 2019, Page(s) 552-581, ISSN 0022-5193
Publisher: Academic Press
DOI: 10.1016/j.jtbi.2018.12.009

Singular limits for models of selection and mutations with heavy-tailed mutation distribution (opens in new window)

Author(s): Sepideh Mirrahimi
Published in: Journal de Mathématiques Pures et Appliquées, Issue 134, 2020, Page(s) 179-203, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2019.10.001

Evolution of Specialization in Heterogeneous Environments: Equilibrium Between Selection, Mutation and Migration (opens in new window)

Author(s): Sepideh Mirrahimi, Sylvain Gandon
Published in: Genetics, Issue 214/2, 2020, Page(s) 479-491, ISSN 0016-6731
Publisher: Genetics Society of America
DOI: 10.1534/genetics.119.302868

Propagation in a Fractional Reaction–Diffusion Equation in a Periodically Hostile Environment (opens in new window)

Author(s): Alexis Léculier, Sepideh Mirrahimi, Jean-Michel Roquejoffre
Published in: Journal of Dynamics and Differential Equations, 2020, ISSN 1040-7294
Publisher: Plenum Publishers
DOI: 10.1007/s10884-020-09837-4

The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime (opens in new window)

Author(s): Vincent Calvez, José Antonio Carrillo, Franca Hoffmann
Published in: Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions, 2017, Page(s) 1-71
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-61494-6_1

Concentration Waves of Chemotactic Bacteria: The Discrete Velocity Case (opens in new window)

Author(s): Vincent Calvez, Laurent Gosse, Monika Twarogowska
Published in: Innovative Algorithms and Analysis, 2017, Page(s) 79-109
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-49262-9_3

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