Mathematical Methods In Medicine

Author : Richard Bellman
Publisher : World Scientific
Page : 268 pages
File Size : 42,5 Mb
Release : 1983-04-01
Category : Mathematics
ISBN : 9789814590808

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Mathematical Methods In Medicine by Richard Bellman Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 592 pages
File Size : 50,8 Mb
Release : 1978
Category : Electronic
ISBN : OCLC:939023594

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Mathematical Methods in Medicine by Anonim Pdf

Author : D. Ingram,R. F. Bloch
Publisher : Chichester [Sussex] ; Toronto : Wiley, c1984-c1986.
Page : 552 pages
File Size : 55,5 Mb
Release : 1984
Category : Mathematics
ISBN : UOM:39015010669706

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Mathematical Methods in Medicine, Statistical and Analytical Techniques by D. Ingram,R. F. Bloch Pdf

Author : David Ingram,R. F. Bloch
Publisher : Unknown
Page : 514 pages
File Size : 51,8 Mb
Release : 1986
Category : Medicine
ISBN : 8590033996

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Mathematical methods in medicine: Applications in clinical specialities by David Ingram,R. F. Bloch Pdf

Author : D. Ingram,R. F. Bloch
Publisher : Unknown
Page : 128 pages
File Size : 49,8 Mb
Release : 1984
Category : Medicine
ISBN : LCCN:83017044

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Mathematical Methods in Medicine by D. Ingram,R. F. Bloch Pdf

Author : Milan Sonka,Ioannis A. Kakadiaris,Jan Kybic
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 40,9 Mb
Release : 2004-09-20
Category : Computers
ISBN : 9783540226758

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Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis by Milan Sonka,Ioannis A. Kakadiaris,Jan Kybic Pdf

Medical imaging and medical image analysisare rapidly developing. While m- ical imaging has already become a standard of modern medical care, medical image analysis is still mostly performed visually and qualitatively. The ev- increasing volume of acquired data makes it impossible to utilize them in full. Equally important, the visual approaches to medical image analysis are known to su?er from a lack of reproducibility. A signi?cant researche?ort is devoted to developing algorithms for processing the wealth of data available and extracting the relevant information in a computerized and quantitative fashion. Medical imaging and image analysis are interdisciplinary areas combining electrical, computer, and biomedical engineering; computer science; mathem- ics; physics; statistics; biology; medicine; and other ?elds. Medical imaging and computer vision, interestingly enough, have developed and continue developing somewhat independently. Nevertheless, bringing them together promises to b- e?t both of these ?elds. We were enthusiastic when the organizers of the 2004 European Conference on Computer Vision (ECCV) allowed us to organize a satellite workshop devoted to medical image analysis.

Author : D. INGRAM
Publisher : Unknown
Page : 514 pages
File Size : 41,9 Mb
Release : 2024-06-07
Category : Mathematics
ISBN : LCCN:83017044

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MATHEMATICAL METHODS IN MEDICINE [Part 1-2]. by D. INGRAM Pdf

Author : Frank C. Hoppensteadt,Charles S. Peskin
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 41,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475741315

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Mathematics in Medicine and the Life Sciences by Frank C. Hoppensteadt,Charles S. Peskin Pdf

The aim of this book is to introduce the subject of mathematical modeling in the life sciences. It is intended for students of mathematics, the physical sciences, and engineering who are curious about biology. Additionally, it will be useful to students of the life sciences and medicine who are unsatisfied with mere description and who seek an understanding of biological mechanism and dynamics through the use of mathematics. The book will be particularly useful to premedical students, because it will introduce them not only to a collection of mathematical methods but also to an assortment of phenomena involving genetics, epidemics, and the physiology of the heart, lung, and kidney. Because of its introductory character, mathematical prerequisites are kept to a minimum; they involve only what is usually covered in the first semester of a calculus sequence. The authors have drawn on their extensive experience as modelers to select examples which are simple enough to be understood at this elementary level and yet realistic enough to capture the essence of significant biological phenomena drawn from the areas of population dynamics and physiology. Because the models presented are realistic, the book can serve not only as an introduction to mathematical methods but also as a mathematical introduction to the biological material itself. For the student, who enjoys mathematics, such an introduction will be far more stimulating and satisfying than the purely descriptive approach that is traditional in the biological sciences.

Author : Anonim
Publisher : Unknown
Page : 44 pages
File Size : 49,8 Mb
Release : 1965
Category : Aviation medicine
ISBN : UIUC:30112106657478

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The Application of Mathematical Methods in Aviation and Space Medicine by Anonim Pdf

Author : Carlos J. S. Alves,Panos M. Pardalos,Luis Nunes Vicente
Publisher : Springer Science & Business Media
Page : 195 pages
File Size : 54,6 Mb
Release : 2007-12-20
Category : Medical
ISBN : 9780387732992

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Optimization in Medicine by Carlos J. S. Alves,Panos M. Pardalos,Luis Nunes Vicente Pdf

This volume presents a wide range of medical applications that can utilize mathematical computing. This work grew out of a workshop on optimization which was held during the 2005 CIM Thematic Term on Optimization in Coimbra, Portugal. It provides an overview of the state-of-the-art in optimization in medicine and will serve as an excellent reference for researchers in the medical computing community and for those working in applied mathematics and optimization.

Author : Urszula Ledzewicz,Heinz Schättler,Avner Friedman,Eugene Kashdan
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 53,7 Mb
Release : 2012-10-20
Category : Mathematics
ISBN : 9781461441786

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Mathematical Methods and Models in Biomedicine by Urszula Ledzewicz,Heinz Schättler,Avner Friedman,Eugene Kashdan Pdf

Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.

Author : Luigi Rodino
Publisher : MDPI
Page : 160 pages
File Size : 44,5 Mb
Release : 2020-03-13
Category : Mathematics
ISBN : 9783039284962

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Mathematical Methods in Applied Sciences by Luigi Rodino Pdf

This book includes the seven papers that contributed to the Special Issue of Mathematics entitled “Mathematical Methods in Applied Sciences”. The papers are authored by eminent specialists and aim at presenting to a broad audience some mathematical models which appear in different aspects of modern life. New results in Computational Mathematics are given as well. Emphasis is on Medicine and Public Health, in relation also with Social Sciences. The models in this collection apply in particular to the study of brain cells during a stroke, training management efficiency for elite athletes, and optimal surgical operation scheduling. Other models concern Industry and Economy, as well as Biology and Chemistry. Numerical Methods are represented in particular by scattered data interpolation, spectral collocation, and the use of eigenvalues and eigenvectors of the Laplacian matrix. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Numerical Analysis, and will be of interest for scholars in Applied Sciences, particularly in Medicine and Public Health.

Author : Anonim
Publisher : Unknown
Page : 292 pages
File Size : 49,8 Mb
Release : 1993
Category : Diagnostic imaging
ISBN : STANFORD:36105008871852

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Mathematical Methods in Medical Imaging by Anonim Pdf

Author : F. C. Hoppensteadt
Publisher : American Mathematical Soc.
Page : 165 pages
File Size : 54,7 Mb
Release : 2011-09-23
Category : Mathematics
ISBN : 9780821872864

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Mathematical Methods for Analysis of a Complex Disease by F. C. Hoppensteadt Pdf

Complex diseases involve most aspects of population biology, including genetics, demographics, epidemiology, and ecology. Mathematical methods, including differential, difference, and integral equations, numerical analysis, and random processes, have been used effectively in all of these areas. The aim of this book is to provide sufficient background in such mathematical and computational methods to enable the reader to better understand complex systems in biology, medicine, and the life sciences. It introduces concepts in mathematics to study population phenomena with the goal of describing complicated aspects of a disease, such as malaria, involving several species. The book is based on a graduate course in computational biology and applied mathematics taught at the Courant Institute of Mathematical Sciences in fall 2010. The mathematical level is kept to essentially advanced undergraduate mathematics, and the results in the book are intended to provide readers with tools for performing more in-depth analysis of population phenomena.

Author : Frank C. Hoppensteadt,Charles Peskin
Publisher : Unknown
Page : 270 pages
File Size : 54,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 1475741324

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Mathematics in Medicine and the Life Sciences by Frank C. Hoppensteadt,Charles Peskin Pdf