Encyclopedia of Systems Biology

2013 Edition
| Editors: Werner Dubitzky, Olaf Wolkenhauer, Kwang-Hyun Cho, Hiroki Yokota

Parabolic Differential Equations, Diffusion Equation

Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-9863-7_273

Synonyms

Definition

The diffusion equation describes the spatial and the temporal relationship of concentration (C) over a region and the most general form is
$$ \frac{{\partial C}}{{\partial \text t}} = \rm D{\nabla^2}C $$
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Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  1. 1.Department of Biomedical EngineeringWayne State UniversityDetroitUSA