This book is intended for medical students and advanced undergraduates such as physicists and mathematicians with inter-disciplinary interests, biophysicists, medical physicists, applied mathematicians and others who wish to understand medicine in mathematical terms as well as current mathematical applications in physiology and medicine. The mathematical presentation is clear and self-contained.This book, representing 15 years of work at RAND Corporation and USC on chemotherapy, pharmacokinetics and nuclear medicine, attempts to direct medical scientists towards mathematical aspects of problems in medicine. The book begins with an introduction to compartmental models and matrix theory, highlighting the advantages of the approach. Discussions on how questions in observations and testing lead to multi-point boundary value problems are presented. The potentials of the digital computer in the bio-medical field are examined. A new approach — dynamic programming — to overcome clinical constraints is covered in detail. The reader should obtain a broad impression of where future research opportunities in the biochemical field lie.
- 270 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Mathematical Methods In Medicine
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Table of contents
- CONTENTS
- PREFACE
- CHAPTER I ONE- AND TWO-COMPARTMENT MODELS
- CHAPTER II MATRICES AND MULTI-COMPARTMENT MODELS
- CHAPTER III OBSERVATION AND TESTING
- CHAPTER IV PHARMACOKINETIC PROPERTIES
- CHAPTER V THE SORCERER'S APPRENTICE: THE DIGITAL COMPUTER
- CHAPTER VI NUMERICAL ALGORITHMS
- CHAPTER VII OPTIMAL DOSAGE AND CONTROL THEORY
- CHAPTER VIII CLINICAL TREATMENT AND CONSTRAINTS
- CHAPTER IX DECISION PROCESSES AND DYNAMIC PROGRAMMING
- CHAPTER X ANALYTIC AND COMPUTATIONAL TECHNIQUES
- CHAPTER XI UNCERTAINTY
- CHAPTER XII TUMOR DETECTION AND SCAN-RESCAN PROCESSES
- CHAPTER XIII RADIOTHERAPY AND RADIATIVE TRANSFER
- APPENDIX
- BIBLIOGRAPHY AND COMMENTS
- SUBJECT INDEX
- NAME INDEX
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Yes, you can access Mathematical Methods In Medicine by Richard Bellman in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.