Mathematical And Computer Modeling Of Physiological Systems

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Nonlinear Dynamic Modeling of Physiological Systems

Author : Professor Vasilis Z. Marmarelis
Publisher : John Wiley & Sons
Page : 564 pages
File Size : 47,6 Mb
Release : 2004-09-03
Category : Medical
ISBN : 0471469602

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Nonlinear Dynamic Modeling of Physiological Systems by Professor Vasilis Z. Marmarelis Pdf

The study of nonlinearities in physiology has been hindered by the lack of effective ways to obtain nonlinear dynamic models from stimulus-response data in a practical context. A considerable body of knowledge has accumulated over the last thirty years in this area of research. This book summarizes that progress, and details the most recent methodologies that offer practical solutions to this daunting problem. Implementation and application are discussed, and examples are provided using both synthetic and actual experimental data. This essential study of nonlinearities in physiology apprises researchers and students of the latest findings and techniques in the field.

Introduction to Modeling in Physiology and Medicine

Author : Claudio Cobelli,Ewart Carson
Publisher : Elsevier
Page : 337 pages
File Size : 47,9 Mb
Release : 2008-02-06
Category : Technology & Engineering
ISBN : 9780080559988

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Introduction to Modeling in Physiology and Medicine by Claudio Cobelli,Ewart Carson Pdf

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 and Validation in Physiology

Author : Jerry J. Batzel,Mostafa Bachar,Franz Kappel
Publisher : Springer
Page : 254 pages
File Size : 45,7 Mb
Release : 2012-12-14
Category : Mathematics
ISBN : 9783642328824

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Mathematical Modeling and Validation in Physiology by Jerry J. Batzel,Mostafa Bachar,Franz Kappel Pdf

This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascular-respiratory system specifically and physiological systems generally. Theoretical points include model design, model complexity and validation in the light of available data, as well as control theory approaches to feedback delay and Kalman filter applications to parameter identification. State of the art approaches using parameter sensitivity are discussed for enhancing model identifiability through joint analysis of model structure and data. Practical examples illustrate model development at various levels of complexity based on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem of patient-specific model adaptation in the clinical setting, where data is typically limited.

Applied Mathematical Models in Human Physiology

Author : Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen
Publisher : SIAM
Page : 311 pages
File Size : 50,8 Mb
Release : 2004-01-01
Category : Medical
ISBN : 0898718287

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Applied Mathematical Models in Human Physiology by Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen Pdf

This book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors focus on models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation.

Signals and Systems in Biomedical Engineering

Author : Suresh R. Devasahayam
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461542995

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Signals and Systems in Biomedical Engineering by Suresh R. Devasahayam Pdf

In the past few years Biomedical Engineering has received a great deal of attention as one of the emerging technologies in the last decade and for years to come, as witnessed by the many books, conferences, and their proceedings. Media attention, due to the applications-oriented advances in Biomedical Engineering, has also increased. Much of the excitement comes from the fact that technology is rapidly changing and new technological adventures become available and feasible every day. For many years the physical sciences contributed to medicine in the form of expertise in radiology and slow but steady contributions to other more diverse fields, such as computers in surgery and diagnosis, neurology, cardiology, vision and visual prosthesis, audition and hearing aids, artificial limbs, biomechanics, and biomaterials. The list goes on. It is therefore hard for a person unfamiliar with a subject to separate the substance from the hype. Many of the applications of Biomedical Engineering are rather complex and difficult to understand even by the not so novice in the field. Much of the hardware and software tools available are either too simplistic to be useful or too complicated to be understood and applied. In addition, the lack of a common language between engineers and computer scientists and their counterparts in the medical profession, sometimes becomes a barrier to progress.

CVRMed-MRCAS '97

Author : Jocelyne Troccaz
Publisher : Springer Science & Business Media
Page : 860 pages
File Size : 48,6 Mb
Release : 1997-03-05
Category : Computers
ISBN : 3540627340

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CVRMed-MRCAS '97 by Jocelyne Troccaz Pdf

This book constitutes the refereed proceedings of the First Joint Conference; Computer Vision, Virtual Reality and Robotics in Medicine, CVRMed, and Medical Robotics and Computer-Assisted Surgery, MRCAS, held in Grenoble, France, in March 1997. The volume presents 76 regular revised papers and 16 clinical papers selected from a total of 161 submitted full papers. The volume offers highly innovative and promising research results in computer-assisted medicine and medical informatics. Among the areas covered are medical imaging, virtual reality, medical robotics, and computer-integrated therapy and surgery. The book is of relevance to clinicians, medical engineers, and computer scientists.

The Mathematical Approach to Physiological Problems

Author : Douglas Shepard Riggs
Publisher : MIT Press (MA)
Page : 472 pages
File Size : 40,6 Mb
Release : 1963
Category : Health & Fitness
ISBN : UOM:39015003827865

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The Mathematical Approach to Physiological Problems by Douglas Shepard Riggs Pdf

With its formulations derived entirely from algebra and introductory calculus, this primer takes as its central purpose the encouragement of high standards of mathematical conduct. And yet the author is not so interested in fostering a formal elegance or abstract rigor as in imparting to the student a care for the definition of the problem, the choice of units, the avoidance of ambiguities and inner contradictions; and as in instilling in him a feeling for dimensionality, an awareness of the pitfalls of various techniques, an appreciation for the habitual checking of derivations through numerical substitution. Riggs adduces a number of examples from the open literature in which biologists of the highest standards of experimental exactness are shown presenting their careful data in mathematically inexact form. As the mathematization of the biological sciences proceeds and accelerates, it becomes even more important that definitions and derivations be as closely scrutinized as tissue sections and radiation counters. In most cases, the various chapters develop their material in a general mathematical form, with applications to particular biological problems developed in thought-provoking exercises. Many of these are based on published papers, and the student is asked to find mistaken assumptions and procedures. A lengthy appendix presents (and where necessary explains step by step) the derivation of the solutions. Other appendices concern approximations, the use of logarithms, and units and symbols. The text includes treatment of the following topics: Definitions, assumptions, and models—Symbols, dimensions, and units—Aids to mathematical work: analog and digital computers; graphical methods; the method of least squares; linear transformations—Constants, variables, and functional relationships: correlations; symbol-and-arrow diagrams—Feedback relationships: feedback loops; positive and negative feedback; homeostasis—Exponential growth and disappearance—Transfer of substances between biological compartments: steady states and equilibrium states; simple diffusion; general kinetics; membrane permeability—Further kinetic problems: fluid flow; metabolic transformations; various biological examples—The law of mass action: effects of volume and temperature; collision theory; chemical equilibria; ionization—Substrate-enzyme and drug-receptor interactions—The derivation of equations: a general method—The derivation of equations: a detailed example (anesthetic gases)—Methods for checking the validity of equations.

Modelling Methodology for Physiology and Medicine

Author : Ewart Carson,Claudio Cobelli
Publisher : Newnes
Page : 588 pages
File Size : 42,8 Mb
Release : 2013-12-05
Category : Science
ISBN : 9780124095250

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Modelling Methodology for Physiology and Medicine by Ewart Carson,Claudio Cobelli Pdf

Modelling Methodology for Physiology and Medicine, Second Edition, offers a unique approach and an unprecedented range of coverage of the state-of-the-art, advanced modeling methodology that is widely applicable to physiology and medicine. The second edition, which is completely updated and expanded, 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. The focus of Modelling Methodology for Physiology and Medicine, Second Edition, is the methodology that underpins good modeling practice. It builds upon the idea of an integrated methodology for the development and testing of mathematical models. It covers many specific areas of methodology in which important advances have taken place over recent years and illustrates the application of good methodological practice in key areas of physiology and medicine. It builds on work that the editors have carried out over the past 30 years, working in cooperation with leading practitioners in the field. Builds upon and enhances the reader's existing knowledge of modeling methodology and practice Editors are internationally renowned leaders in their respective fields Provides an understanding of modeling methodologies that can address real problems in physiology and medicine and achieve results that are beneficial either in advancing research or in providing solutions to clinical problems

Introduction to Modeling in Physiology and Medicine

Author : Claudio Cobelli,Ewart Carson
Publisher : Academic Press
Page : 384 pages
File Size : 52,6 Mb
Release : 2019-08-01
Category : Computers
ISBN : 9780128158050

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Introduction to Modeling in Physiology and Medicine by Claudio Cobelli,Ewart Carson Pdf

Introduction to Modeling in Physiology and Medicine, Second Edition, develops a clear understanding of the fundamental principles of good modeling methodology. Sections show how to create valid mathematical models that are fit for a range of purposes. These models are supported by detailed explanation, extensive case studies, examples and applications. This updated edition includes clearer guidance on the mathematical prerequisites needed to achieve the maximum benefit from the material, a greater detail regarding basic approaches to modeling, and discussions on non-linear and stochastic modeling. The range of case study material has been substantially extended, with examples drawn from recent research experience. Key examples include a cellular model of insulin secretion and its extension to the whole-body level, a model of insulin action during a meal/oral glucose tolerance test, a large-scale simulation model of type 1 diabetes and its use in in silico clinical trials and drug trials. Covers the underlying principles of good quantitative modeling methodology, with applied biomedical engineering and bioscience examples to ensure relevance to students, current research and clinical practice Includes modeling data, modeling systems, linear and non-linear systems, model identification, parametric and non-parametric models, and model validation Presents clear, step-by-step working plus examples and extensive case studies that relate concepts to real world applications Provides end-of-chapter exercises and assignments to reinforce learning

Modeling of Physiological Flows

Author : Davide Ambrosi,Alfio Quarteroni,Gianluigi Rozza
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 52,8 Mb
Release : 2012-10-31
Category : Mathematics
ISBN : 9788847019355

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Modeling of Physiological Flows by Davide Ambrosi,Alfio Quarteroni,Gianluigi Rozza Pdf

This book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls, and the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques, and pay constant attention to applications of relevant clinical interest. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows.

Computational Modeling of Biological Systems

Author : Nikolay V Dokholyan
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 46,7 Mb
Release : 2012-02-12
Category : Science
ISBN : 9781461421450

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Computational Modeling of Biological Systems by Nikolay V Dokholyan Pdf

Computational modeling is emerging as a powerful new approach to study and manipulate biological systems. Multiple methods have been developed to model, visualize, and rationally alter systems at various length scales, starting from molecular modeling and design at atomic resolution to cellular pathways modeling and analysis. Higher time and length scale processes, such as molecular evolution, have also greatly benefited from new breeds of computational approaches. This book provides an overview of the established computational methods used for modeling biologically and medically relevant systems.

Mathematical Modeling and Simulation in Enteric Neurobiology

Author : Roustem Miftahof,Hong Gil Nam,David L. Wingate
Publisher : World Scientific
Page : 350 pages
File Size : 47,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812834805

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Mathematical Modeling and Simulation in Enteric Neurobiology by Roustem Miftahof,Hong Gil Nam,David L. Wingate Pdf

The lack of scientists equally trained and prepared to understand both mathematics and biology/medicine hampers the development and application of computer simulation methods in biology and neurogastrobiology. Currently, there are no texts for navigating the extensive and intricate field of mathematical and computational modeling in neurogastrobiology. This book bridges the gap between mathematicians, computer scientists and biologists, and thus assists in the study and analysis of complex biological phenomena that cannot be done through traditional in vivo and in vitro experimental approaches.The book recognizes the complexity of biological phenomena under investigation and treats the subject matter with a degree of mathematical rigor. Special attention is given to computer simulations for interpolation and extrapolation of electromechanical and chemoelectrical phenomena, nonlinear self-sustained electromechanical wave activity, pharmacological effects including co-localization and co-transmission by multiple neurotransmitters, receptor polymodality, and drug interactions.Mathematical Modeling and Simulation in Enteric Neurobiology is an interdisciplinary book and is an essential source of information for biologists and doctors who are interested in knowing about the role and advantages of numerical experimentation in their subjects, as well as for mathematicians who are interested in exploring new areas of applications.

Mechano-Electric Correlations in the Human Physiological System

Author : A. Bakiya,K. Kamalanand,R. L. J. De Britto
Publisher : CRC Press
Page : 113 pages
File Size : 53,8 Mb
Release : 2021-04-28
Category : Medical
ISBN : 9781000374735

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Mechano-Electric Correlations in the Human Physiological System by A. Bakiya,K. Kamalanand,R. L. J. De Britto Pdf

The aim of Mechano-Electric Correlations in the Human Physiological System is to present the mechanical and electrical properties of human soft tissues and the mathematical models related to the evaluation of these properties in time, as well as their biomedical applications. This book also provides an overview of the bioelectric signals of soft tissues from various parts of the human body. In addition, this book presents the basic dielectric and viscoelastic characteristics of soft tissues, an introduction to the measurement and characteristics of bioelectric signals and their relationship with the mechanical activity, electromyography and the correlation of electromyograms with the muscle activity in normal and certain clinical conditions. The authors also present a case study on the effect of lymphatic filariasis on the mechanical and electrical activity of the muscle. Features: Explains the basics of electrical and mechanical properties of soft tissues in time and frequency domain along with the mathematical models of soft tissue mechanics Explores the correlation of electrical properties with the mechanical properties of biological soft tissues using computational techniques Provides a detailed introduction to electrophysiological signals along with the types, applications, properties, problems and associated mathematical models Explains the electromechanics of muscles using electromyography recordings from various muscles of the human physiological system Presents a case study on the effect of lymphatic filariasis on the mechanical and electrical activity of the muscle Mechano-Electric Correlations in the Human Physiological System is intended for biomedical engineers, researchers and medical scientists as well graduate and undergraduate students working on the mechanical properties of soft tissues.