It has been over a decade since the release of the now classic original edition of Murray's Mathematical Biology. Since then mathematical biology has grown at an astonishing rate and is well established as a distinct discipline. Mathematical modeling is now being applied in every major discipline in
Mathematical Biology 1: An Introduction
✍ Scribed by James D. Murray
- Book ID
- 127424465
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 9 MB
- Series
- Interdisciplinary Applied Mathematics
- Edition
- 3rd
- Category
- Library
- ISBN
- 0387952233
No coin nor oath required. For personal study only.
✦ Synopsis
Change is the nature of things in biology and differential equations are used to model change. The concentrations of some bio-chemicals present in an organism change over time, sometimes dramatically, in response to the changes in the concentrations of other chemicals. Other systems make up a steady-state system, where the concentrations of reactants are damped within fairly rigid bounds. Segments of organisms change due to dynamic feedback with other segments of the same organism, actions in one location can propagate throughout the entire creature. Organisms of one species interact with others of the same species, sometimes in cooperation, and other times in competition. The same thing applies to populations of different species, in some circumstances, all species benefit or suffer and in other circumstances the advantage to one species is based on harm to the other(s). All of these situations are examined in a thorough manner; the models are based on differential equations started from some basic, logical assumptions.
✦ Subjects
Матметоды и моделирование в биологии
📜 SIMILAR VOLUMES
Focusing on discrete models across a variety of biological subdisciplines, this introductory textbook includes linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. Assuming n