Cover image for Mathematical Models in the Health Sciences : A Computer-Aided Approach.
Mathematical Models in the Health Sciences : A Computer-Aided Approach.
Title:
Mathematical Models in the Health Sciences : A Computer-Aided Approach.
Author:
Ackerman, Eugene.
ISBN:
9780816661114
Personal Author:
Physical Description:
1 online resource (372 pages)
Contents:
Contents -- Preface -- INTRODUCTION -- Chapter 1 Models and Goals -- A. Origins and Definitions -- B. Automated Computational Aids -- C. Deterministic and Stochastic Models -- D. Inverse Solutions -- E. Model Conformation and Parameter Estimation -- F. Health-Related Goals -- G. Notation Used in Text -- H. Summary -- DETERMINISTIC MODELS -- Chapter 2 Compartmental Analysis -- A. Illustrative Examples -- B. Compartmental Analysis -- C. Single Compartment Models -- D. Parameter Estimation -- E. Multicompartment Models -- F. Computer Simulation -- G. Non-Linear Parameter Estimation -- H. Model Selection and Validation -- I. Summary -- Chapter 3 Modified Compartmental Analysis -- A. Extensions of Compartmental Analysis -- B. Blood Glucose Regulation -- C. Ceruloplasmin Synthesis -- D. Dye Dilution Curves -- E. Lung Models -- F. Summary -- Chapter 4 Enzyme Kinetics -- A. Enzymes and Biology -- B. Proteins and Amino Acids -- C. Prosthetic Groups, Cofactors, and Coenzymes -- D. Molecular Conformation and Chemical Reactions -- E. Michaelis-Menten Kinetics -- F. Estimation of Michaelis-Menten Parameters -- G. Catalase and Peroxidase Reactions -- H. Enzyme Kinetics and Mathematical Biology -- Chapter 5 Enzyme Systems -- A. Transient Kinetics -- B. Perturbation Kinetics -- C. King-Altman Patterns -- D. Metabolic Pathways -- E. Oxidative Phosphorylation -- F. Simulation of Multienzyme Systems -- G. Summary -- TIME SERIES -- Chapter 6 Discrete Time Series -- A. Introduction -- B. Analog to Digital Signal Conversion -- C. Fourier Transforms -- D. Discrete Fourier Transforms -- E. Fast Fourier Transforms -- F. Laplace Transforms -- G. Sampling Theorems -- H. Summary -- Chapter 7 Transforms and Transfer Functions -- A. Transfer Functions -- B. Convolution Integrals -- C. Compartmental Analysis -- D. Dye Dilution Curves -- E. Fast Walsh Transforms.

F. Applications -- Chapter 8 Electrocardiographic Interpretation -- A. Physiological Basis -- B. EKG Characteristics -- C. VKG Patterns -- D. Abnormalities -- E. Simulation and the Inverse Problem -- F. Automated Interpretation of the EKG -- G. Automated Aids to Clinical Diagnosis -- H. Summary -- Chapter 9 Electroencephalographic Analyses -- A. Central Nervous System -- B. EEG Characteristics -- C. Applications of EEG Patterns -- D. Sleep Stages -- E. Spectral Analyses -- F. Compressed Spectral and Other Analyses -- G. Spatial Analyses -- H. Evoked Response Averages -- I. Automation and the EEG -- INFORMATION AND SIMULATION -- Chapter 10 Information Theory -- A. Basic Concepts -- B. Messages and Entropy -- C. Redundancy -- D. Continuous Signals -- E. Analog Digitization -- F. Discrete Systems -- G. Health Sciences Applications -- Chapter 11 Genetic Transfer of Information -- A. Genes and Chromosomes -- B. Cell Replication and Division -- C. Molecular Basis of Genetics -- D. Information Content of DNA -- E. Types of Genes -- F. RNA and Protein Synthesis -- G. Information Theory and Evolution -- H. Genetic Models and Evolution -- Chapter 12 Simulation of Epidemics -- A. Epidemics and Epidemic Theory -- B. Simulation of Stochastic Models -- C. Simplest Stochastic Models -- D. Competition and Vaccination -- E. Structured Populations -- F. Influenza Epidemic Model -- G. Overview -- Chapter 13 Population, Ecology, and the World System -- A. Introduction: Population Models -- B. Exponential Growth -- C. Logistic Growth -- D. Competition and Predator-Prey Interactions -- E. Other Ecology Models -- F. World Systems Models -- G. Simulation and Prediction -- H. Summary -- OVERVIEW -- Chapter 14 Mathematical Models in the Health Sciences -- A. Summary of Text -- B. Other Areas of Mathematical Biology -- C. Other Health Science Applications.

D. Health Computer Sciences -- E. Future Implications -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- X -- Y -- Z.
Abstract:
This book, designed especially for use in graduate courses in the health sciences, will be useful also as a reference work for scientists in various disciplines. It provides an introduction to mathematical modeling through the use of selected examples from the health sciences. Where appropriate, computer techniques are discussed and illustrated with examples drawn from studies by the authors and their colleagues. An introductory chapter discusses mathematical models and their roles in biomedical research. The rest of the material is divided in three sections of four chapters each: Deterministic Models, Time Series Analysis, and Information and Simulation. A bibliography accompanies each chapter. In their conclusion the authors place mathematical biology and its techniques in perspective.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Electronic Access:
Click to View
Holds: Copies: