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eBook details

• Title: Uniqueness of Equilibria for Complex Chemical Reaction Networks
• Author : Haixia Ji
• Release Date : January 21, 2013
• Genre: Computers,Books,Computers & Internet,
• Pages : * pages
• Size : 19276 KB

Description

Each chemical reaction network taken with mass action kinetics gives rise to a system of polynomial differential equations that govern the species concentrations, and in those equations many parameters (rate constants) appear. Even for a moderately sized network with several species and several reactions the resulting equations can be highly intricate. This thesis addresses the problem of determining whether a given chemical reaction network, taken with mass action kinetics, has the capacity to admit multiple positive steady states  – that is, whether for the network there are rate constant values such that the resulting polynomial differential equations admit two distinct stoichiometrically-compatible steady states in which all species concentrations are positive. The theory developed extends earlier work by Ellison and Feinberg and is implemented in a Windows-based computer program that has been made internet-available. Advisors/Committee Members: Feinberg, Martin.

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