ODE analysis of biological systems

A3 Bokavsnitt, kapitel i forskningsböcker


Interna författare/redaktörer


Publikationens författare: Diana-Elena Gratie, Bogdan Iancu, Ion Petre
Redaktörer: Bernardo M, Vink E, Di Pierro A, Wiklicky H
Förläggare: Springer
Publiceringsår: 2013
Förläggare: Springer
Moderpublikationens namn: Formal Methods for Dynamical Systems
Seriens namn: Lecture Notes in Computer Science
Volym: 7938
Artikelns första sida, sidnummer: 29
Artikelns sista sida, sidnummer: 62
ISBN: 978-3-642-38873-6
eISBN: 978-3-642-38874-3
ISSN: 0302-9743


Abstrakt

This chapter aims to introduce some of the basics of modeling with ODEs in biology. We focus on computational, numerical techniques, rather than on symbolic ones. We restrict our attention to reaction-based models, where the biological interactions are mechanistically described in terms of reactions, reactants and products. We discuss how to build the ODE model associated to a reaction-based model; how to fit it to experimental data and estimate the quality of its fit; how to calculate its steady state(s), mass conservation relations, and its sensitivity coefficients. We apply some of these techniques to a model for the heat shock response in eukaryotes.

Senast uppdaterad 2019-17-08 vid 06:23