Reaction-Diffusion Systems as Complex Networks
Marko Seslija, Jacquelien M.A. Scherpen, Arjan van der Schaft
TL;DR
This paper discusses open problems in the mathematical modeling of reaction-diffusion systems as complex networks, which are crucial for understanding biological pattern formation and development.
Contribution
It highlights key open problems in PDE and ODE models of reaction-diffusion networks, emphasizing their importance in biological phenomena.
Findings
Identification of open problems in reaction-diffusion network modeling
Discussion on the mathematical challenges in PDE and ODE models
Implications for understanding biological pattern formation
Abstract
The spatially distributed reaction networks are indispensable for the understanding of many important phenomena concerning the development of organisms, coordinated cell behavior, and pattern formation. The purpose of this brief discussion paper is to point out some open problems in the theory of PDE and compartmental ODE models of balanced reaction-diffusion networks.
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Taxonomy
TopicsGene Regulatory Network Analysis · Control and Stability of Dynamical Systems · Numerical methods for differential equations