Mathematical Models in Medical and Health Science

by Horn, Mary Ann; Simonett, Gieri; Webb, Glenn F.

• ISBN13: 9780826513106
• ISBN10: 0826513107
• Format: Hardcover
• Copyright: 1999-01-01
• Publisher: Vanderbilt Univ Pr

Summary

A unique assemblage of cutting-edge research on mathematical models in biology and medicine. This book is composed of refereed and carefully edited research articles derived from the Conference on Mathematical Models in Medical and Health Sciences, held at Vanderbilt University in conjunction with the thirteenth annual Shanks Lectures Series (May 1997).

Table of Contents

Preface	vii	(4)
Contributors	xi
Cancer Treatment Strategies and Mathematical Modeling	1	(16)
Evans K. Afenya
A Flow Reactor with Wall Growth	17	(12)
Mary M. Ballyk
Hal L. Smith
Controlling the S-I-S Age-Structured Epidemics	29	(6)
Viorel Barbu
Mimmo Iannelli
Cluster Form Analysis Techniques for Diabetic Retinopathy	35	(16)
Michael W. Berry
Dax M. Westerman
Tuberculosis: The Evolution of Antibiotic Resistance and the Design of Epidemic Control Strategies	51	(22)
Sally Blower
Travis Porco
Tom Lietman
Skew Brownian Motion: A Model for Diffusion with Interfaces?	73	(6)
R.S. Cantrell
C. Cosner
Spatio-Temporal Dynamics of the Immune System Response to Cancer	79	(20)
M.A.J. Chaplain
V. A. Kuznetsov
Z.H. James
L. A. Stepanova
An Age and Maturity Structured Model of Cell Population Dynamics	99	(18)
Janet Dyson
Rosanna Villella-Bressan
Glenn Webb
A New Mathematical Model of Schistosomiasis	117	(12)
Zhilan Feng
Fabio Augusto Milner
Positive Profit in a Predator-Prey Situation	129	(10)
K. Renee Fister
Suzanne Lenhart
Analysis of a Two Component Reaction Diffusioni Model on a Heterogeneous Domain	139	(6)
William E. Fitzgibbon
Jeff Morgan
Branch Tree Models of Muscle Sensory Receptors	145	(16)
J.P.A. Foweraker
D. P. Bashor
M. Hulliger
E. Otten
Key Dynamics from a Simple Model of HIV Infection	161	(36)
Faustino Sanchez Garduno
Denise Kirschner
Jenelle Reynolds
Optimal Control of a PDE/ODE System Modeling a Gas-Phase Bioreactor	197	(16)
Naresh Handagama
Suzanne Lenhart
Mathematical Analysis for an Evolutionary Epidemic Model	213	(24)
Hisashi Inaba
A Mathematical Model of the Time Course of Myelosuppression Resulting from Cancer Chemotherapy	237	(10)
Paul B. Laub
Modeling the Effects of Angiogenic Factors on Tumor-related Angiogenesis and Vascularization: A Review	247	(20)
Sophia A. Maggelakis
Remarks on an Environmental Control Problem	267	(14)
Natalia Navarova
Horst R. Thieme
The Mathematical Modelling of Cancer: A Review	281	(30)
John Carl Panetta
Mark A.J. Chaplain
John A. Adam
The Hodgkin-Huxley Equations of Nerve Impulse Propagation	311	(16)
Mark E. Parrott
The Effect of Anisotropy on the Meandering of Spiral Waves in Cardiac Tissue	327	(10)
Bradley J. Roth
Sister, Mother-Daughter and Cousin Cell Generation Time Correlations and Cell Cycle Progression	337	(14)
Roland Sennerstam
Jan-Olof Stromberg
Some State Space Models of HIV Pathogenesis	351	(18)
Wai-Yuan Tan
Zhihua Xiang
Cell Cycle Checkpoints and the Overall Dynamics of Cell Cycle Control	369	(12)
C.D. Thron
Modeling the Probability of Tumor Cure after Fractionated Radiotherapy	381
Susan L. Tucker