학술논문

A DOMAIN DECOMPOSITION METHOD FOR SOLUTION OF A PDE-CONSTRAINED GENERALIZED NASH EQUILIBRIUM MODEL OF BIOFILM COMMUNITY METABOLISM.
Document Type
Article
Source
SIAM Journal on Applied Mathematics. 2024, Vol. 84 Issue 1, p97-113. 17p.
Subject
*DOMAIN decomposition methods
*NASH equilibrium
*BIOFILMS
*METABOLISM
*MICROBIAL communities
Language
ISSN
0036-1399
Abstract
Microbes are able to deploy different strategies in response to, and depending upon, local environmental conditions. In the setting of a microbial community, this property induces a Nash equilibrium problem because access to environmental resources is bounded. If microbes are also distributed in space, then those resources are subject to transport limitations (encoded in a PDE) and so microbial strategies at one location influence resources and, hence, microbial strategies, at another. Here we formulate the resulting PDE-coupled generalized Nash equilibrium problem for a multispecies biofilm community, and propose a domain-decomposition-based method for its solution. An example consisting of a model with two microbial species biofilm with 33 externally transported chemical concentrations is presented. [ABSTRACT FROM AUTHOR]