Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method-Reference-Cited by-同舟云学术

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Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method

Published:2023-03-13 Issue:1 Volume:21 Page:349-373
ISSN:1540-3459
Container-title:Multiscale Modeling & Simulation
language:en
Short-container-title:Multiscale Model. Simul.

Author:

Zhang Yaming¹,Jiang Ning²,Liang Jiangyan¹,Luo Yi-Long³^ORCID,Tang Min¹^ORCID

Affiliation:

1. School of Mathematics, Institute of Natural Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai, China.

2. School of Mathematics and Statistics, Wuhan University, Wuhan, China.

3. School of Mathematics, South China University of Technology, Guangzhou, China.

Funder

Shanghai Pilot Innovation Project

GuangDong Basic and Applied Basic Research Foundation

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Computer Science Applications,General Physics and Astronomy,Ecological Modeling,Modeling and Simulation,General Chemistry

Reference44 articles.

1. Waves and patterning in developmental biology: vertebrate segmentation and feather bud formation as case studies

2. A synthetic multicellular system for programmed pattern formation

3. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision

4. Stationary Fokker–Planck–Kolmogorov Equations

5. Approximating the ideal free distribution via reaction–diffusion–advection equations

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