Competition and boundary formation in heterogeneous media: Application to neuronal differentiation

DOI10.1142/S0218202515400151zbMath1325.35237arXiv1408.2091OpenAlexW1868502567WikidataQ60502718 ScholiaQ60502718MaRDI QIDQ3451239

Perthame, Benoît, Jonathan D. Touboul, Cristóbal Quiñinao

Publication date: 10 November 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2091

zbMATH Keywords

reaction-diffusion systemsasymptotic analysistraveling wavesmorphogen gradientsboundary formation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Pattern formations in context of PDEs (35B36)

Related Items (1)

Cooperation, competition, organization: The dynamics of interacting living populations

Cites Work

• Wavefront propagation for reaction-diffusion systems of PDE
• A PDE approach to certain large deviation problems for systems of parabolic equations
• Invariant manifolds for metastable patterns in u_t = ε²u_xx—f(u)
• User’s guide to viscosity solutions of second order partial differential equations
• Front Propagation in Heterogeneous Media
• The chemical basis of morphogenesis
• Front propagation in periodic excitable media

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