KEY BENEFIT: This reference introduces a variety of mathematical models for biological systems, and presents the mathematical theory and techniques useful in analyzing those models. Material is organized according to the mathematical theory rather than the biological application. Contains applications of mathematical theory to biological examples in each chapter. Focuses on deterministic mathematical models with an emphasis on predicting the qualitative solution behavior over time. Discusses classical mathematical models from population , including the Leslie matrix model, the Nicholson-Bailey model, and the Lotka-Volterra predator-prey model. Also discusses more recent models, such as a model for the Human Immunodeficiency Virus - HIV and a model for flour beetles. KEY MARKET: Readers seeking a solid background in the mathematics behind modeling in biology and exposure to a wide variety of mathematical models in biology.
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.
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 ...
Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field.
Edward K. Yeargers, James V. Herod, Ronald W. Shonkweiler. Next suppose a trajectory is begun immediately to the right of the equilibrium point (V, we), then a very different thing happens. Assume the starting point (V0, wo) is taken to ...
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 ...
... A First Course in Discrete Mathematics I. Anderson Analytic Methods for Partial Differential Equations G. Evans, J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD, Second Edition D. Marsh Basic Linear Algebra, ...
[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 ...
A textbook about the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students.
Linear and non-linear models of populations, molecular evolution, phylogenetic tree construction, genetics, and infectious diseases are presented with minimal prerequisites.
Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative.