Mathematical Modelling In Medicine

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Mathematical Modelling in Medicine

Author : Johnny T. Ottesen
Publisher : IOS Press
ISBN 13 : 9781586030261
Total Pages : 248 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathematical Modelling in Medicine by : Johnny T. Ottesen

Download or read book Mathematical Modelling in Medicine written by Johnny T. Ottesen and published by IOS Press. This book was released on 2000 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Aspects of Mathematical Modelling

Author : Roger J. Hosking
Publisher : Springer Science & Business Media
ISBN 13 : 376438591X
Total Pages : 375 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Aspects of Mathematical Modelling by : Roger J. Hosking

Download or read book Aspects of Mathematical Modelling written by Roger J. Hosking and published by Springer Science & Business Media. This book was released on 2008-03-02 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Modeling in Nutrition and the Health Sciences

Author : Janet A. Novotny
Publisher : Springer Science & Business Media
ISBN 13 : 1441990194
Total Pages : 420 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mathematical Modeling in Nutrition and the Health Sciences by : Janet A. Novotny

Download or read book Mathematical Modeling in Nutrition and the Health Sciences written by Janet A. Novotny and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 7th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book addresses the determination of optimal intakes of nutrients and food components to provide lifelong health and reduce incidence of disease. Mathematical modelling provides a means of rigorously defining the functions of a system and using a variety of conditions to stimulate responses. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.

Modeling and Simulation in Medicine and the Life Sciences

Author : Frank C. Hoppensteadt
Publisher : Springer Science & Business Media
ISBN 13 : 0387215719
Total Pages : 362 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Modeling and Simulation in Medicine and the Life Sciences by : Frank C. Hoppensteadt

Download or read book Modeling and Simulation in Medicine and the Life Sciences written by Frank C. Hoppensteadt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The result of lectures given by the authors at New York University, the University of Utah, and Michigan State University, the material is written for students who have had only one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well as solutions to selected exercises, so as to lead readers to discover interesting extensions of that material. Throughout, illustrations depict physiological processes, population biology phenomena, corresponding models, and the results of computer simulations. Topics covered range from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models.

Mathematical Modelling

Author : J. Caldwell
Publisher : Springer Science & Business Media
ISBN 13 : 1402019939
Total Pages : 253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mathematical Modelling by : J. Caldwell

Download or read book Mathematical Modelling written by J. Caldwell and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students’ modelling skills using a combination of case studies and projects.

Mathematical Modeling in Systems Biology

Author : Brian P. Ingalls
Publisher : MIT Press
ISBN 13 : 0262545829
Total Pages : 423 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Mathematical Modeling in Systems Biology by : Brian P. Ingalls

Download or read book Mathematical Modeling in Systems Biology written by Brian P. Ingalls and published by MIT Press. This book was released on 2022-06-07 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.

Mathematical Models in Medicine

Author : J. Berger
Publisher : Springer
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Mathematical Models in Medicine by : J. Berger

Download or read book Mathematical Models in Medicine written by J. Berger and published by Springer. This book was released on 1976-08-20 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work contains the congresses from a 1976 conference at Mainz, which evaluated the possibilities and limitations of mathematical models in the medical field.

Mathematical Models in Medicine

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (974 download)

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Book Synopsis Mathematical Models in Medicine by :

Download or read book Mathematical Models in Medicine written by and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modelling Methodology for Physiology and Medicine

Author : Ewart Carson
Publisher : Elsevier
ISBN 13 : 0080511902
Total Pages : 421 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Modelling Methodology for Physiology and Medicine by : Ewart Carson

Download or read book Modelling Methodology for Physiology and Medicine written by Ewart Carson and published by Elsevier. This book was released on 2000-12-31 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling Methodology for Physiology and Medicine offers a unique approach and an unprecedented range of coverage of the state-of-the-art, advanced modelling methodology that is widely applicable to physiology and medicine. The book opens with a clear and integrated treatment of advanced methodology for developing mathematical models of physiology and medical systems. Readers are then shown how to apply this methodology beneficially to real-world problems in physiology and medicine, such as circulation and respiration. Builds upon and enhances the readers existing knowledge of modelling methodology and practice Editors are internationally renowned leaders in their respective fields

Introduction to Modeling in Physiology and Medicine

Author : Claudio Cobelli
Publisher : Elsevier
ISBN 13 : 0080559980
Total Pages : 337 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Introduction to Modeling in Physiology and Medicine by : Claudio Cobelli

Download or read book Introduction to Modeling in Physiology and Medicine written by Claudio Cobelli and published by Elsevier. This book was released on 2008-02-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified modeling textbook for students of biomedical engineering provides a complete course text on the foundations, theory and practice of modeling and simulation in physiology and medicine. It is dedicated to the needs of biomedical engineering and clinical students, supported by applied BME applications and examples. Developed for biomedical engineering and related courses: speaks to BME students at a level and in a language appropriate to their needs, with an interdisciplinary clinical/engineering approach, quantitative basis, and many applied examples to enhance learning Delivers a quantitative approach to modeling and also covers simulation: the perfect foundation text for studies across BME and medicine Extensive case studies and engineering applications from BME, plus end-of-chapter exercises

Mathematical Modeling

Author : Sandip Banerjee
Publisher : CRC Press
ISBN 13 : 1351022938
Total Pages : 419 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Mathematical Modeling by : Sandip Banerjee

Download or read book Mathematical Modeling written by Sandip Banerjee and published by CRC Press. This book was released on 2021-11-11 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.

Computational Modeling in Biomedical Engineering and Medical Physics

Author : Alexandru Morega
Publisher : Academic Press
ISBN 13 : 0128178973
Total Pages : 320 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Computational Modeling in Biomedical Engineering and Medical Physics by : Alexandru Morega

Download or read book Computational Modeling in Biomedical Engineering and Medical Physics written by Alexandru Morega and published by Academic Press. This book was released on 2020-10-02 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and numerical modelling of engineering problems in medicine is aimed at unveiling and understanding multidisciplinary interactions and processes and providing insights useful to clinical care and technology advances for better medical equipment and systems. When modelling medical problems, the engineer is confronted with multidisciplinary problems of electromagnetism, heat and mass transfer, and structural mechanics with, possibly, different time and space scales, which may raise concerns in formulating consistent, solvable mathematical models. Computational Medical Engineering presents a number of engineering for medicine problems that may be encountered in medical physics, procedures, diagnosis and monitoring techniques, including electrical activity of the heart, hemodynamic activity monitoring, magnetic drug targeting, bioheat models and thermography, RF and microwave hyperthermia, ablation, EMF dosimetry, and bioimpedance methods. The authors discuss the core approach methodology to pose and solve different problems of medical engineering, including essentials of mathematical modelling (e.g., criteria for well-posed problems); physics scaling (homogenization techniques); Constructal Law criteria in morphing shape and structure of systems with internal flows; computational domain construction (CAD and, or reconstruction techniques based on medical images); numerical modelling issues, and validation techniques used to ascertain numerical simulation results. In addition, new ideas and venues to investigate and understand finer scale models and merge them into continuous media medical physics are provided as case studies. Presents the fundamentals of mathematical and numerical modeling of engineering problems in medicine Discusses many of the most common modelling scenarios for Biomedical Engineering, including, electrical activity of the heart hemodynamic activity monitoring, magnetic drug targeting, bioheat models and thermography, RF and microwave hyperthermia, ablation, EMF dosimetry, and bioimpedance methods Includes discussion of the core approach methodology to pose and solve different problems of medical engineering, including essentials of mathematical modelling, physics scaling, Constructal Law criteria in morphing shape and structure of systems with internal flows, computational domain construction, numerical modelling issues, and validation techniques used to ascertain numerical simulation results

Mathematical Models in the Health Sciences

Author : Eugene Ackerman
Publisher : U of Minnesota Press
ISBN 13 : 1452910804
Total Pages : 373 pages
Book Rating : 4.4/5 (529 download)

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Book Synopsis Mathematical Models in the Health Sciences by : Eugene Ackerman

Download or read book Mathematical Models in the Health Sciences written by Eugene Ackerman and published by U of Minnesota Press. This book was released on 1979 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Single-Cell-Based Models in Biology and Medicine

Author : Alexander Anderson
Publisher : Springer Science & Business Media
ISBN 13 : 376438123X
Total Pages : 346 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Single-Cell-Based Models in Biology and Medicine by : Alexander Anderson

Download or read book Single-Cell-Based Models in Biology and Medicine written by Alexander Anderson and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.

Mathematical Models in Medical and Health Science

Author : Mary Ann Horn
Publisher :
ISBN 13 : 9780826513106
Total Pages : 0 pages
Book Rating : 4.5/5 (131 download)

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Book Synopsis Mathematical Models in Medical and Health Science by : Mary Ann Horn

Download or read book Mathematical Models in Medical and Health Science written by Mary Ann Horn and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique assemblage of cutting-edge research on mathematical models in biology and medicine. This book is composed of refereed and carefully edited research articles derived from the Conference on Mathematical Models in Medical and Health Sciences, held at Vanderbilt University in conjunction with the thirteenth annual Shanks Lectures Series (May 1997).

Modelling in Healthcare

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821849697
Total Pages : 238 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Modelling in Healthcare by :

Download or read book Modelling in Healthcare written by and published by American Mathematical Soc.. This book was released on 2010 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: A model is a simplified representation of a real-world situation used to help answer a specific question. This book provides a look into the world of modelling with the focus on modelling in healthcare.--[from preface]

Mathematical Modelling in Engineering & Human Behaviour 2018

Author : Lucas Jódar
Publisher : MDPI
ISBN 13 : 3038978043
Total Pages : 196 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Mathematical Modelling in Engineering & Human Behaviour 2018 by : Lucas Jódar

Download or read book Mathematical Modelling in Engineering & Human Behaviour 2018 written by Lucas Jódar and published by MDPI. This book was released on 2019-04-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes papers in cross-disciplinary applications of mathematical modelling: from medicine to linguistics, social problems, and more. Based on cutting-edge research, each chapter is focused on a different problem of modelling human behaviour or engineering problems at different levels. The reader would find this book to be a useful reference in identifying problems of interest in social, medicine and engineering sciences, and in developing mathematical models that could be used to successfully predict behaviours and obtain practical information for specialised practitioners. This book is a must-read for anyone interested in the new developments of applied mathematics in connection with epidemics, medical modelling, social issues, random differential equations and numerical methods.