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Scaling as a Tool for the Analysis of Biological Models

  • D. L. S. McElwain
Part of the Mathematical Modelling book series (MMO, volume 6)

Abstract

Many mathematical models of biological systems lead to differential equations. Although numerical methods are available to solve these equations, the introduction of dimensionless variables often simplifies the form of the equations. In addition, if scaled dimensionless variables are introduced then it is sometimes possible to obtain useful approximations to the solution using, for example, perturbation methods. A discussion of the use of these techniques is illustrated by examining a model developed by Volterra for population growth in a closed system.

Keywords

Closed System Perturbation Method Dimensionless Variable Logistic Equation Matched Asymptotic Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1990

Authors and Affiliations

  • D. L. S. McElwain

There are no affiliations available

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