Basic Models.- Chemostat Versus the Lake.- Instability Tendencies.- Self-Regulation.- Wall Growth.- Zones of No Activation.- Influence of the Control Mechanisms.- Parameter Estimation Using Dynamic Optimization.
Mathematical Biology has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biological sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biological sciences and gives some indication of the wide spectrum of questions that modeling can address.
Includes a comprehensive chapter on the building of mathematical models from basic principles
Provides a clear overview of the recent literature and basic dynamical models
Presents detailed examples and simulations illustrating each new concept
Provides an in-depth discussion of control mechanisms
New procedures introduced for the analysis of mathematical models