title: Evolutionary game theory for physical and biological scientists. II. Population dynamics equations can be associated with interpretations.
abstract: The use of mathematical equations to analyse population dynamics measurements is being increasingly applied to elucidate complex dynamic processes in biological systems, including cancer. Purely 'empirical' equations may provide sufficient accuracy to support predictions and therapy design. Nevertheless, interpretation of fitting equations in terms of physical and biological propositions can provide additional insights that can be used both to refine models that prove inconsistent with data and to understand the scope of applicability of models that validate. The purpose of this tutorial is to assist readers in mathematically associating interpretations with equations and to provide guidance in choosing interpretations and experimental systems to investigate based on currently available biological knowledge, techniques in mathematical and computational analysis and methods for in vitro and in vivo experiments.
authors.affiliation: Department of Pathology , University of California San Francisco , San Francisco, CA 94143 , USA.
authors.forename: David
authors.initials: D
authors.lastname: Liao
authors.affiliation: Department of Pathology , University of California San Francisco , San Francisco, CA 94143 , USA.
authors.forename: Thea D
authors.initials: TD
authors.lastname: Tlsty
keywords: biomedical engineering; cell–cell interactions; game theory; modelling; stromal–epithelial interactions; tissue microenvironment
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