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Mathematical Modelling in Medicine

2000
Mathematical Modelling in Medicine

Author: Johnny T. Ottesen

Publisher: IOS Press

ISBN: 1586030264

Category: Medical

Page: 248

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Title page -- Preface -- Contents -- Part I. Heart -- The Changing View of the HeartThrough the Centuries -- The Left Ventricular Ejection Effect -- Human Circulatory System Model Based On Frank's Mechanism -- Modelling Blood Flow in the Left Side of the Heart -- Part II: Arterial Tree -- Models of the Arterial Tree -- A One-Dimensional Fluid Dynamic Model of the Systemic Arteries -- Measurement of Arterial Compliance In Vivo -- Models of the Venous System -- Part III: Baroreceptor Control -- General Compartmental Models of the Cardiovascular System -- Modelling the Interaction Among Several Mechanisms in the Short-term Arterial Pressure Control -- Short term Autonomic Nervous Control of the Cardiovascular System: A System Theoretic Approach -- A Baroreflex Model of Short Term Blood Pressure and Heart Rate Variability -- Part IV: Applications for Simulators -- Mathematical Models Behind Advanced Simulators in Medicine -- Cognitive Studies of Ethical Reasoning Basedon the KARDIO-simulator -- Index -- Author Index

Computers and Mathematical Models in Medicine

2013-03-08
Computers and Mathematical Models in Medicine

Author: D. Cardus

Publisher: Springer Science & Business Media

ISBN: 9783642931598

Category: Mathematics

Page: 315

View: 215

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The papers gathered in this volume were presented at the medical sessions of the First Conference on Mathematics at the Service of Man held in Barcelona, Spain, July 11-16, 1977. Papers presented at the medical sessions were more numerous than those pre sented in any other single area of specialization covered in the conference. Because pf this, the Publications Committee resolved that papers presented at medical sessions be published separately from the proceedings of the conference. The proceedings of the conference have been published by the Esco1a Tecnica Superior d'Arquitectura de 1a Universitat Po1itecnica of Barcelona. The papers contained in this volume were selected on the basis of current interest and willingness of the authors to publish. They are organized not accord ing to the sequence in which they were presented at the conference, but, to the extent that this was possible, in topic areas. As its name indicates, the principal purpose of the conference was to under score the fact that mathematics is a science whose applications are relevant to many aspects of human activity. In the opinion of the editors of this volume, the conference met its objective with success, both in terms of the broad variety of topics covered as well as by the number of nations that were represented at the conference in spite of the special circumstances prevailing in Spain at that time.

Mathematical Modelling

1988
Mathematical Modelling

Author: Jagat Narain Kapur

Publisher: New Age International

ISBN: 812240006X

Category: Mathematical models

Page: 276

View: 548

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Each Chapter Of The Book Deals With Mathematical Modelling Through One Or More Specified Techniques. Thus There Are Chapters On Mathematical Modelling Through Algebra, Geometry, Trigonometry And Calculus, Through Ordinary Differential Equations Of First And Second Order, Through Systems Of Differential Equations, Through Difference Equations, Through Partial Differential Equations, Through Functional Equations And Integral Equations, Through Delay-Differential, Differential-Difference And Integro-Differential Equations, Through Calculus Of Variations And Dynamic Programming, Through Graphs, Through Mathematical Programming, Maximum Principle And Maximum Entropy Principle.Each Chapter Contains Mathematical Models From Physical, Biological, Social, Management Sciences And Engineering And Technology And Illustrates Unity In Diversity Of Mathematical Sciences.The Book Contains Plenty Of Exercises In Mathematical Modelling And Is Aimed To Give A Panoramic View Of Applications Of Modelling In All Fields Of Knowledge. It Contains Both Probabilistic And Deterministic Models.The Book Presumes Only The Knowledge Of Undergraduate Mathematics And Can Be Used As A Textbook At Senior Undergraduate Or Post-Graduate Level For A One Or Two- Semester Course For Students Of Mathematics, Statistics, Physical, Social And Biological Sciences And Engineering. It Can Also Be Useful For All Users Of Mathematics And For All Mathematical Modellers.

Mathematical Modelling

1987-01-01
Mathematical Modelling

Author: Murray S. Klamkin

Publisher: SIAM

ISBN: 9780898712049

Category: Technology & Engineering

Page: 346

View: 773

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Mathematics of Computing -- Miscellaneous.

Aspects of Mathematical Modelling

2007-12-17
Aspects of Mathematical Modelling

Author: Roger J. Hosking

Publisher: Birkhäuser

ISBN: 3764385901

Category: Mathematics

Page: 375

View: 328

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The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

MATHEMATICAL MODELS OF LIFE SUPPORT SYSTEMS - Volume II

2009-10-10
MATHEMATICAL MODELS OF LIFE SUPPORT SYSTEMS - Volume II

Author: Valeri I. Agoshko

Publisher: EOLSS Publications

ISBN: 9781848261297

Category:

Page: 504

View: 494

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Mathematical Models of Life Support Systems is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. The Theme is organized into several topics which represent the main scientific areas of the theme: The first topic, Introduction to Mathematical Modeling discusses the foundations of mathematical modeling and computational experiments, which are formed to support new methodologies of scientific research. The succeeding topics are Mathematical Models in - Water Sciences; Climate; Environmental Pollution and Degradation; Energy Sciences; Food and Agricultural Sciences; Population; Immunology; Medical Sciences; and Control of Catastrophic Processes. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Mathematical Modelling and Biomechanics of the Brain

2019-09-06
Mathematical Modelling and Biomechanics of the Brain

Author: Corina Drapaca

Publisher: Springer Nature

ISBN: 9781493998104

Category: Mathematics

Page: 155

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This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathematical and neurosurgical sciences. It begins with some historical perspective and a brief synopsis of the biomedical/biological manifestations of the clinical conditions/diseases considered. Each chapter proceeds with a discussion of the various mathematical models of the problems considered, starting with the simplest models and proceeding to more complex models where necessary. A detailed list of relevant references is provided at the end of each chapter. With the beginning research student in mind, the chapters have been crafted to be as self-contained as possible while addressing different clinical conditions and diseases. The book is intended as a brief introduction to both theoreticians and experimentalists interested in brain mechanics, with directions and guidance for further reading, for those who wish to pursue particular topics in greater depth. It can also be used as a complementary textbook in a graduate level course for neuroscientists and neuroengineers.

Mathematical Methods and Models in Biomedicine

2012-10-21
Mathematical Methods and Models in Biomedicine

Author: Urszula Ledzewicz

Publisher: Springer Science & Business Media

ISBN: 9781461441779

Category: Mathematics

Page: 426

View: 115

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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.