This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.
Essential Mathematical Biology
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 ...
[105] J. Demongeot, P. Pachot, P. Baconnier, G. Benchetrit, S. Muzzin, and T. Pham Dinh. Entrainment of the respiratory rhythm: concepts and techniques of analysis. ... [112] C.A. Donnelly, N.M. Ferguson, A.C. Ghani, M.E.J. Woolhouse ...
Essential Mathematical Biology
Nagorcka, B.N., Mooney, J.R.: The role of a reaction-diffusion system in the formation of hair fibres. J. theor. Biol. 98,575–607 (1982). Nagorcka, B.N., Mooney, J.R.: The role of a reaction-diffusion system in the initiation of primary ...
Developed from the author's course in mathematical biology at Cornell University, this volume is designed to cultivate in graduate biology students an awareness of and familiarity with applications of mathematical techniques and methods ...
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies.
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, ...
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.
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 ...