Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Spatial Description of Biochemical Networks

  • Pablo A. Iglesias
Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_89-1


Many biological behaviors require that biochemical species be distributed spatially throughout the cell or across a number of cells. To explain these situations accurately requires a spatial description of the underlying network. At the continuum level, this is usually done using reaction-diffusion equations. Here we demonstrate how this class of models arises. We also show how the framework is used in two popular models proposed to explain spatial patterns during development.


Diffusion Morphogen gradient Pattern formation Reaction-diffusion Turing instability 
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Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.Electrical & Computer Engineering, The Johns Hopkins UniversityBaltimore, MDUSA