mathematical population dynamics: Proceedings of the Second International Conference

by Ovide Arino

Overview

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.

Product Details

ISBN-13:	9781000154252
Publisher:	CRC Press
Publication date:	12/17/2020
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	812
File size:	30 MB
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About the Author

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.

Table of Contents

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 Even-Aged Stands of Loblolly Pine (Pinus taeda) /Eberhard O. Voit -- Part III AIDS and the Theory of Epidemics -- 20 Modeling Chagas's Disease: Variable Population Size and Demographic Implications /Stavros N. Busenberg and Cristobal Vargas -- 21 Mixing Patterns in Models of AIDS /Kenneth L. Cooke, Donald A. Allers, and Carlos Castillo-Chavez -- 22 Impact of Sexual Behavior Structures on the Transmission Dynamics of HIV in Closed Homosexual Communities /Sunetra Gupta and Roy M. Anderson -- 23 Methods for Numerically Specifying a Dynamic Stochastic Model of an AIDS Epidemic in a Heterosexual Population /Charles J. Mode -- 24 Stochastic Model for the AIDS Epidemic in a Homosexual Population /Wai-Yuan Tan and H. Hsu -- 25 AIDS: Modeling the Mature Epidemic in the Gay Community /James R. Thompson and Kerry W. Go -- Part IV Stochastic Models -- 26 Screening for Cancer in Relation to the Natural History of the Disease /Betty J. Flehinger and Marek Kimmel -- 27 Distinguishing Between Single- and Multiple-Hazard Random Processes in Small Samples /Bart K. Holland -- 28 Estimation of Growth and Metastatic Rates of Primary Breast Cancer /John P. Klein and Robert Bartoszyfiski -- 29 Dynamics of a Cellular Automaton with Randomly Distributed Elements /Mario Markus -- 30 Stochastic Model to Explain the Biology and Epidemiology of the Ultraviolet Induction of Skin Cancer /Dennis K. Pearl -- 31 Multiple-Pathway Model of Carcinogenesis Involving One- and Two- Stage Models /Wai-Yuan Tan and Chao W. Chen -- 32 SIMEST: Technique for Model Aggregation with Considerations of Chaos /James R. Thompson, David N. Stivers, and Katherine Bennett Ensor -- 33 Statistical Modeling of T-Helper (T4) Cells: Application of Nonparametric Density Estimation /Ting Yang and Neil Dubin -- Part V Cell Cycle Kinetics -- 34 Regularized Estimates of Cell Cycle Parameters in Populations Affected by Loss from Flow-Cytometry Data /Alessandro Bertuzzi, Alberto Gandolfi, and Giuseppe Starace -- 35 Conjectures on the Mathematics of the Cell Cycle /Stephen Cooper -- 36 Cell Size Control by Modulation of the Growth Rate of Individual Mammalian Cells /Marek Hola -- 37 Evolution of Ideas About Bacterial Growth and Their Pertinence to Higher Cells /Arthur L. Koch -- 38 Simulation of Streptococcal Population Dynamics: Desynchronization and Balanced Size Distributions /Arthur L. Koch and Michael L. Higgins -- 39 Effects of the Variability of Cell Cycle Durations on Labeling Experiments /Mitchelle S. Morrison and Eberhard 0. Voit -- 40 Two-Subcycle Cell Cycle Model /Roland Sennerstam -- Part VI Proliferation and Tumor Growth -- 41 Diffusion Models of Prevascular and Vascular Tumor Growth: A Review /John A. Adam -- Appendix: Effects of Nonuniform Nutrient Consumption and Nonuniform Inhibitor Production on the Prevascular Growth of a Spherical Carcinoma /Sophia A. Maggelakis -- 42 Approaches to Modeling Kinetics of Colony-Forming Experiments /Thomas Kuczek -- 43 Application of a Three-Phase Growth Model Based on Stochastic Learning at the Cellular Level to Human Cancer Growth /Irwin Nathan -- 44 Partial Hemopoietic Chimerism Described by Means of a Mathematical Model of the Erythroid Pathway /A. van Rotterdam, Jenne J. Wielenga, and Gerard Wagemaker -- 45 Simulation Studies on the Regrowth of Acute Myeloid Leukemia After Autologous Bone Marrow Transplantation /Frank W. Schultz and Anton Hagenbeek -- Part VII Genetics and Molecular Biology -- 46 Colony Size Heritability: A New Parameter for Characterizing Proliferating Populations of Normal and Tumor Cells /David E. Axelrod, Elizabeth Milcos-Livanos, and Neha I. Vibhakar -- 47 Effects of Selection and Mutations on the Probabilities of Identity Between Genes in Small Populations /Michel Gillois -- 48 Comparison of Two Models for Initiation of Replication in Escherichia coli /Joseph M. Mahaffy and Judith W. Zyskind -- 49 Quantitative Shift Model and Generation of Single-Cell Heterogeneity /Jerry A. Peterson -- Index.