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Control Theory and Systems Biology$
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Pablo A. Iglesias and Brian P. Ingalls

Print publication date: 2009

Print ISBN-13: 9780262013345

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262013345.001.0001

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PRINTED FROM MIT PRESS SCHOLARSHIP ONLINE (www.mitpress.universitypressscholarship.com). (c) Copyright The MIT Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in MITSO for personal use.date: 26 September 2021

Spatial Modeling

Spatial Modeling

Chapter:
(p.45) 3 Spatial Modeling
Source:
Control Theory and Systems Biology
Author(s):

Pablo A. Iglesias

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262013345.003.0003

This chapter introduces the idea of partial differential equation-based modeling, which is used to address dynamic processes where spatial localization is significant. It describes how spatial models in biology arise. It presents some important properties regarding the control of spatial heterogeneities in cell biology. It demonstrates how shape of the cell can greatly affect the signal received at the nucleus. It describes how diffusion coefficients can be measured. This chapter shows how diffusion and transport can make significant differences to the response and even stability of systems.

Keywords:   partial differential equation, spatial localization, spatial models, biology, cell, nucleus, diffusion coefficients, transport

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