EBOOK Mathematical Methods in Medicine

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.Contents: One- and Two-Compartmental ModelsMatrices and Multi-Compartment ModelsObservation and TestingPharmacokinetic PropertiesThe Sorcerer's ApprenticeThe Digital ComputerNumerical AlgorithmsOptimal Dosage and Control TheoryClinical Treatment and ConstraintsDecision Processes and Dynamic ProgrammingAnalytic and Computational TechniquesUncertaintyTumor Detection and Scan-Rescan ProcessesRadiotherapy and Radiative TransferReadership: Undergraduate, graduate students and researchers interested in strong light-matter coupling.Key Features: The emphasis of this book is on the properties of the early Universe and their observational consequences; it is specifically written for readers interested in the most fundamental aspects of cosmology The book reflects a deep connection between particle physics and cosmology The book is a unique combination of basic and advanced material which should be useful to both students and researchers.