This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.
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 ...
... 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, ...
The emphasis of this book lies in the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it.
Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative.
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.
A textbook on mathematical modelling techniques with powerful applications to biology, combining theoretical exposition with exercises and examples.
This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München.
[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 ...
[163] Hsu Schmitz, S-F (1993) Some theories, estimation methods and applications of marriage functions in demography and epidemiology, Ph. D. dissertation, Cornell University. [164] Hsu Schmitz, S-F and C. Castillo-Chavez (1994) ...
This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology.