Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning

DOI10.3934/dcdss.2011.4.1413zbMath1218.65043OpenAlexW2137069526WikidataQ116009509 ScholiaQ116009509MaRDI QIDQ542537

Yong-Tao Zhang, Bei Hu, Wenrui Hao, Jonathan D. Hauenstein, Yuan Liu, Andrew John Sommese

Publication date: 10 June 2011

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2011.4.1413

zbMATH Keywords

reaction-diffusionpolynomial systemssteady statesdorsal-ventral patterning

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) General biology and biomathematics (92B05) Numerical computation of roots of polynomial equations (65H04)

Related Items (5)

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws ⋮ Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations ⋮ A bootstrapping approach for computing multiple solutions of differential equations ⋮ Homotopy techniques for tensor decomposition and perfect identifiability ⋮ Homotopy continuation for the spectra of persistent Laplacians

Uses Software

• Bertini

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