This is a lucid introduction to some of the mathematical ideas which are useful to biologists. Professor Maynard Smith introduces the reader to the ways in which biological problems can be expressed mathematically, and shows how the mathematical equations which arise in biological work can be solved. Each chapter has a number of examples which present further points of biological and mathematical interest. interest. Professor Maynard Smith's book is written for all biologists, from undergraduate level upwards, who need mathematical tools. Only an elementary knowledge of mathematics is assumed. Since there are already a number of books dealing with statistics for biologists, this book is particularly concerned with non-statistical topics.
The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.
AMS, Providence (2006) Christiansen, F.B.: Theories of Population Variation in Genes and Genomes. ... SIAM, Philadelphia (2006) Diekmann, O., Heesterbeek, J.A.P.: On the definition and the computation of the basic reproduction ratio R0 ...
The review article on dynamic diseases by Mackey and Milton (1988) is of direct relevance to the material discussed ... The first example, Cheyne-Stokes respiration, is a human respiratory ailment manifested by an alteration in the ...
This process has been worked through for Huntington's disease, a disease of progressive degeneration of brain cells in certain areas of the brain. The gene, HD, is on the fourth chromosome and is dominant. In the normal form, ...
The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predator-prey relationships, epidemiology, and immunology.
B.N. Nagorcka and J.R. Mooney. The role of a reaction-diffusion system in the formation of hair fibres. J. Theor. Biol., 98:575–607, 1982. B.N. Nagorcka and J.R. Mooney. The role of a reaction-diffusion system in the initiation of ...
J. David Logan, William Wolesensky. The partial fraction decomposition ... If R contains no critical points, there must be a periodic orbit in R. 4.5.1 Rosenzweig— MacArthur Model Now we consider the Rosenzweig-MacArthur predator-prey.
Recent models have demonstrated that the range of a species can nevertheless end abruptly in such situations if there is a tradeoff between individual performance in different habitats (García Ramos and Kirkpatrick 1997; Holt 2003; ...
The size and thickness of the heart are regulated during homeostasis to maintain proper function. In 1892, R. H. Woods proposed that wall stress is a key factor in this regulation process [153, 1339, 1359]. The original idea of Woods is ...
D. Hughes-Hallett, W. G. McCallum, A. M. Gleason, D. Mumford, D. E. Flath, B. G. Osgood, P. Frazer Lock, D. Quinney, D. O. Lomen, K. Rhea, D. Lovelock, J. Tecosky-Feldman. Calculus: Single and Multivariable. Wiley, 4th ed., 2005.