Titel: Mathematical Models in Biology: An Introduction
Autor/en: John A. Rhodes, Elizabeth S. Allman, Allman Elizabeth S.
CAMBRIDGE UNIV PR
März 2010 - gebunden - 388 Seiten
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 no knowledge of calculus, the development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer research with MATLAB is incorporated throughout in exercises and more extensive projects to provide readers with actual experience with the mathematical models.
1. Dynamic modeling with different equations; 2. Linear models of structured populations; 3. Non-linear models of interactions; 4. Modeling molecular evolution; 5. Constructing phylogenic trees; 6. Genetics; 7. Infectious disease modeling; 8. Curve fitting and biological modeling; Appendix A. Basic analysis of numerical data; Appendix B. For further reading.
'... many institutions, like mine, are looking into ways of adding a mathematical modeling component into the undergraduate curriculum for general biology students. This book will be a great asset to these institutions ... a very interesting and challenging book for undergraduate students with a strong interest in biology ...'. Mei Zhu, Pacific Lutheran University 'I found this book interesting since many institutions, like mine, are looking into ways of adding a mathematical modeling component into the undergraduate curriculum for general biology students. This book will be a great asset to these institutions ... Overall, this is a very interesting and challenging book for undergraduate students with a strong interest in biology, but not necessarily with a calculus background. Students with a strong mathematical background will also benefit from this book ... This book is also a good reference book for biologists who are interested in learning mathematical modeling or integrating it into teaching their undergraduate biology courses.' Mei Zhu, Pacific Lutheran University, , Society for Industrial and Applied Mathematics '... eminently suitable for their target undergraduate audiences and, indeed, for anyone curious to learn more about this increasingly important and undeniably exciting area of applied mathematics.' The Mathematical Gazette '... an attractive introduction to the modeling of biological processes at a very elementary level.' Zentralblatt MATH 'This is an attractive introduction into the modelling of biological processes at a very elementary level. ... Many exercises motivate the reader to acquire a deeper understanding of the topics treated. Also a substantial number of MATLAB projects are suggested to give the students hands-on experience.' Monatshefte fur Mathematik