This book is an outcome of the Second International Conference on Mathematical Population Dynamics. It is intended for mathematicians, statisticians, biologists, and medical researchers who are interested in recent advances in analyzing changes in populations of genes, cells, and tumors.
Ovide Arino is Professor of Mathematics at the University of Pau, France. The author or coauthor of nearly 50 articles, he is a member of the Society of Mathematical Biology. Dr. Arino received the B.S. (1971) degree from the University of Nice and Doctorate d’Etat (1980) degree from the University of Bordeaux I, both in France. David E. Axelrod is Associate Professor of Biological Sciences at the Waksman Institute, Rutgers University, Piscataway, New Jersey. The author or coauthor of nearly 80 journal articles, book chapters, and abstracts, he is a member of the Cell Kinetics Society, American Society for Cell Biology, American Society for Microbiology, and Genetics Society of America. Dr. Axelrod received the B.S. (1962) degree from the University of Chicago, Illinois, and Ph.D. (1967) degree from the University of Tennessee at Knoxville. Marek Kimmel is Associate Professor of Statistics at Rice University, Houston, Texas. The author or coauthor of over 50 journal articles and book reviews, he is a member of the Cell Kinetics Society, American Mathematical Society, and Institute of Mathematical Statistics. His principal interest is in the mathematics of populations. Dr. Kimmel received the M.S. (1977) and Ph.D. (1980) degrees from Silesian Technical University, Gliwice, Poland.
Innehållsförteckning
Preface -- Contributors -- Part I Structured Populations -- 1 Analysis of a Cell Population Model with Unequal Division and Ran-dom Transition /Ovide Arino, Marek Kimmel, and Martin Zerner -- 2 Slow Oscillations in a Model of Cell Population Dynamics /Ovide Arino and Abdessamad Mortabit -- 3 Competing Size-Structured Species /J.M. Cushing -- 4 Quiescence in Structured Population Dynamics: Applications to Tumor Growth /Mats Gyllenberg and Glenn F. Webb -- 5 Altruistic Population Model with Sex Differences /Ying-Hen Hsieh -- 6 Remarks on an Epidemic Model with Age Structure /Michel Langlais -- 7 Effect of Reducibility on the Deterministic Spread of Infection in a Heterogeneous Population /John Radcliffe and Linda Rass -- 8 Analysis of Age-Structured Population Models with an Additional Structure lli /Horst R. Thieme -- 9 Mathematical Modeling of Cell Population Dynamics as Applied to the Study of Cellular Aging: A Review and Open Questions /Matthew Witten -- 10 What Can the Theory of Positive Operators Do for You? /Martin Zerner -- Part II Ordinary and Partial Differential Equations Models -- 11 Population Models with State-Dependent Delays /Jacques Belair -- 12 Generalized Lyapunov Methods for Interactive Systems in Biology /W. E. Fitzgibbon, J. J. Morgan, and S. J. Waggoner -- 13 Production, Development, and Maturation of Red Blood Cells: A Mathematical Model /Annette Grabosch and Henk J. A. M. Heijmans -- 14 The Effect of Rapid Oscillations in the Dynamics of Delay Equations /Jack K. Hale and Sjoerd M. Verduyn Lune -- 15 Controllability of Nonlinear Systems with Application to Analysis of Population Dynamics /Jerzy Klamka -- 16 Invariant Manifolds for Partial Functional Differential Equations /Margaret C. Memory -- 17 Competition in a Modified Gradostat /Hal L. Smith -- 18 S-Domain Modeling of Neoplastic Cells Circulation in Mice /Andrzej Swierniak, Zdzislaw Duda, and Janusz S. Skierski -- 19 Generic Modeling of Population Dynamics with S-Systems: Exemplified with
