Cullen: Linear Models In ∗biology∗ – Linear System S Ana With Biological Applications: Linear Systems Analysis with Biological Applications (Mathematics and its Applications) - Softcover
Synopsis
This book interprets a neglected biological group of mathematical models which are important in the diverse areas of the life sciences. It is the first introductory modelling text to demonstrate mathematical applications in the life sciences, assuming only linear algebra and differential equations. The book develops the required mathematics with valuable discussion of the software needed to implement the models on a computer. It is pitched at a fairly elementary level, with a step-by-step approach using worked examples and problems, and a choice of wide-ranging illustrative material. The models, for the most part linear, need no extensive knowledge of biology, and are often used with current health and environmental problems. Situations modelled include discrete models in population biology and construction of optimal harvesting strategies. Discussion of continuous compartment models in physiology and pharmacology point to their role in drug therapy. Discussion of non-linear systems, linearisation and local stability provide ideas which serve as an introduction to systems equality. End-of-chapter problems, some requiring a computer, test comprehension and reinforce instruction.
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