A Mathematical Model Of The Human Body

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Applied Mathematical Models in Human Physiology

Author : Johnny T. Ottesen
Publisher : SIAM
ISBN 13 : 9780898718287
Total Pages : 311 pages
Book Rating : 4.7/5 (182 download)

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Book Synopsis Applied Mathematical Models in Human Physiology by : Johnny T. Ottesen

Download or read book Applied Mathematical Models in Human Physiology written by Johnny T. Ottesen and published by SIAM. This book was released on 2004-01-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Mathematical Model of the Human Body

Author : Ernest P. Hanavan
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis A Mathematical Model of the Human Body by : Ernest P. Hanavan

Download or read book A Mathematical Model of the Human Body written by Ernest P. Hanavan and published by . This book was released on 1964 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A mathematical model for predicting the inertial properties of a human body in various positions was developed. Twenty-five standard anthropometric dimensions are used in the model to predict an individual's center of gravity, moments and products of inertia, principal moments, and principal axes. The validity of the model was tested by comparing its predictions with experimental data from 66 subjects. The center of gravity was generally predicted within 0.7 inches and moments of inertia within 10 percent. The principal vertical axis was found to deviate from the longitudinal axis of the body by as much as 50 degrees, depending on the body position assumed. A generalized computer program to calculate the inertial properties of a subject in any body position is presented. The inertial properties of five composite subjects in each of 31 body positions is offered as a design guide. IBM 7094 digital computer programs are appended."--Abstract

Applied Biomechatronics Using Mathematical Models

Author : Jorge Garza Ulloa
Publisher : Academic Press
ISBN 13 : 0128125950
Total Pages : 664 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Applied Biomechatronics Using Mathematical Models by : Jorge Garza Ulloa

Download or read book Applied Biomechatronics Using Mathematical Models written by Jorge Garza Ulloa and published by Academic Press. This book was released on 2018-06-16 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Biomechatronics Using Mathematical Models provides an appropriate methodology to detect and measure diseases and injuries relating to human kinematics and kinetics. It features mathematical models that, when applied to engineering principles and techniques in the medical field, can be used in assistive devices that work with bodily signals. The use of data in the kinematics and kinetics analysis of the human body, including musculoskeletal kinetics and joints and their relationship to the central nervous system (CNS) is covered, helping users understand how the complex network of symbiotic systems in the skeletal and muscular system work together to allow movement controlled by the CNS. With the use of appropriate electronic sensors at specific areas connected to bio-instruments, we can obtain enough information to create a mathematical model for assistive devices by analyzing the kinematics and kinetics of the human body. The mathematical models developed in this book can provide more effective devices for use in aiding and improving the function of the body in relation to a variety of injuries and diseases. - Focuses on the mathematical modeling of human kinematics and kinetics - Teaches users how to obtain faster results with these mathematical models - Includes a companion website with additional content that presents MATLAB examples

Mathematical Modelling of Haemodialysis

Author : Leszek Pstras
Publisher : Springer
ISBN 13 : 3030214109
Total Pages : 166 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathematical Modelling of Haemodialysis by : Leszek Pstras

Download or read book Mathematical Modelling of Haemodialysis written by Leszek Pstras and published by Springer. This book was released on 2019-07-03 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with an introduction to kidney function, renal replacement therapies, and an overview of clinical problems associated with haemodialysis, this book explores the principles of the short-term baroreflex regulation of the cardiovascular system and the mechanisms of water and solute transport across the human body from a mathematical model perspective. It synthesizes theoretical physiological concepts and practical aspects of mathematical modelling needed for simulation and quantitative analysis of the haemodynamic response to dialysis therapy. Including an up-to-date review of the literature concerning the modelled physiological mechanisms and processes, the book serves both as an overview of transport and regulatory mechanisms related to the cardiovascular system and body fluids and as a useful reference for the study and development of mathematical models of dynamic physiological processes. Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics is intended for researchers and graduate students in biomedical engineering, physiology, or medicine interested in mathematical modelling of cardiovascular dynamics and fluid and solute transport across the human body, both under physiological conditions and during haemodialysis therapy.

Mathematical Physiology

Author : James Keener
Publisher : Springer Science & Business Media
ISBN 13 : 038775847X
Total Pages : 1067 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Mathematical Physiology by : James Keener

Download or read book Mathematical Physiology written by James Keener and published by Springer Science & Business Media. This book was released on 2010-06-04 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. Reviews from first edition: Keener and Sneyd's Mathematical Physiology is the first comprehensive text of its kind that deals exclusively with the interplay between mathematics and physiology. Writing a book like this is an audacious act! -Society of Mathematical Biology Keener and Sneyd's is unique in that it attempts to present one of the most important subfields of biology and medicine, physiology, in terms of mathematical "language", rather than organizing materials around mathematical methodology. -SIAM review

Physics of the Human Body

Author : Irving P. Herman
Publisher : Springer
ISBN 13 : 3319239325
Total Pages : 963 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Physics of the Human Body by : Irving P. Herman

Download or read book Physics of the Human Body written by Irving P. Herman and published by Springer. This book was released on 2016-01-09 with total page 963 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprehensively addresses the physics and engineering aspects of human physiology by using and building on first-year college physics and mathematics. Topics include the mechanics of the static body and the body in motion, the mechanical properties of the body, muscles in the body, the energetics of body metabolism, fluid flow in the cardiovascular and respiratory systems, the acoustics of sound waves in speaking and hearing, vision and the optics of the eye, the electrical properties of the body, and the basic engineering principles of feedback and control in regulating all aspects of function. The goal of this text is to clearly explain the physics issues concerning the human body, in part by developing and then using simple and subsequently more refined models of the macrophysics of the human body. Many chapters include a brief review of the underlying physics. There are problems at the end of each chapter; solutions to selected problems are also provided. This second edition enhances the treatments of the physics of motion, sports, and diseases and disorders, and integrates discussions of these topics as they appear throughout the book. Also, it briefly addresses physical measurements of and in the body, and offers a broader selection of problems, which, as in the first edition, are geared to a range of student levels. This text is geared to undergraduates interested in physics, medical applications of physics, quantitative physiology, medicine, and biomedical engineering.

Machine Learning and Biometrics

Author : Jucheng Yang
Publisher : BoD – Books on Demand
ISBN 13 : 1789235901
Total Pages : 148 pages
Book Rating : 4.7/5 (892 download)

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Book Synopsis Machine Learning and Biometrics by : Jucheng Yang

Download or read book Machine Learning and Biometrics written by Jucheng Yang and published by BoD – Books on Demand. This book was released on 2018-08-29 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are entering the era of big data, and machine learning can be used to analyze this deluge of data automatically. Machine learning has been used to solve many interesting and often difficult real-world problems, and the biometrics is one of the leading applications of machine learning. This book introduces some new techniques on biometrics and machine learning, and new proposals of using machine learning techniques for biometrics as well. This book consists of two parts: "Biometrics" and "Machine Learning for Biometrics." Parts I and II contain four and three chapters, respectively. The book is reviewed by editors: Prof. Jucheng Yang, Prof. Dong Sun Park, Prof. Sook Yoon, Dr. Yarui Chen, and Dr. Chuanlei Zhang.

The Golden Ratio And Fibonacci Numbers

Author : Richard A Dunlap
Publisher : World Scientific
ISBN 13 : 9814496944
Total Pages : 170 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis The Golden Ratio And Fibonacci Numbers by : Richard A Dunlap

Download or read book The Golden Ratio And Fibonacci Numbers written by Richard A Dunlap and published by World Scientific. This book was released on 1997-12-16 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

Author : Sarah P. Otto
Publisher : Princeton University Press
ISBN 13 : 1400840910
Total Pages : 745 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by : Sarah P. Otto

Download or read book A Biologist's Guide to Mathematical Modeling in Ecology and Evolution written by Sarah P. Otto and published by Princeton University Press. This book was released on 2011-09-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Mathematical Modelling and Computer Simulation of Biomechanical Systems

Author : A. V. Zinkovsky
Publisher : World Scientific
ISBN 13 : 9789810223953
Total Pages : 224 pages
Book Rating : 4.2/5 (239 download)

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Book Synopsis Mathematical Modelling and Computer Simulation of Biomechanical Systems by : A. V. Zinkovsky

Download or read book Mathematical Modelling and Computer Simulation of Biomechanical Systems written by A. V. Zinkovsky and published by World Scientific. This book was released on 1996 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a new scientific approach to the problem of biomechanical systems description.This approach is based on development of a universal anthropomorphic model and employment of methodology of imitational dynamic modeling (IDM). The novelty of this approach is that there appears a possibility to operate with a whole class of models, derived from the universal model on the basis of motion separation principle. This is followed by utilization of iterational procedures realizing the method of successive approximations and resulting in description of the real motion with the pre-set accuracy level. By use of the IDM there has been for the first time ascertained certain laws governing human locomotions: presence of so-called controlling and stabilizing interlink moments, wavelike speeding of forces extremums along the kinematic chain, adaptation of control functions for astronauts motion coordination preservation. The book includes new theoretical conceptions explaining the deterioration of functional state of skeletal-muscular apparatus of astronauts due to zero-gravity influence.

Digital Human Modeling

Author : Vincent D. Duffy
Publisher : Springer
ISBN 13 : 3540733213
Total Pages : 1083 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Digital Human Modeling by : Vincent D. Duffy

Download or read book Digital Human Modeling written by Vincent D. Duffy and published by Springer. This book was released on 2007-08-24 with total page 1083 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Conference on Digital Human Modeling, DHM 2007, held in Beijing, China in July 2007. The papers thoroughly cover the thematic area of digital human modeling, addressing the following major topics: shape and movement modeling and anthropometry, building and applying virtual humans, medical and rehabilitation applications, as well as industrial and ergonomic applications.

Mathematical Modelling of Zombies

Author : Robert Smith?
Publisher : University of Ottawa Press
ISBN 13 : 0776621688
Total Pages : 336 pages
Book Rating : 4.7/5 (766 download)

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Book Synopsis Mathematical Modelling of Zombies by : Robert Smith?

Download or read book Mathematical Modelling of Zombies written by Robert Smith? and published by University of Ottawa Press. This book was released on 2014-10-14 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: You’re outnumbered, in fear for your life, surrounded by flesheating zombies. What can save you now? Mathematics, of course. Mathematical Modelling of Zombies engages the imagination to illustrate the power of mathematical modelling. Using zombies as a “hook,” you’ll learn how mathematics can predict the unpredictable. In order to be prepared for the apocalypse, you’ll need mathematical models, differential equations, statistical estimations, discretetime models, and adaptive strategies for zombie attacks—as well as baseball bats and Dire Straits records (latter two items not included). In Mathematical Modelling of Zombies, Robert Smith? brings together a highly skilled team of contributors to fend off a zombie uprising. You’ll also learn how modelling can advise government policy, how theoretical results can be communicated to a nonmathematical audience and how models can be formulated with only limited information. A forward by Andrew Cartmel—former script editor of Doctor Who, author, zombie fan and all-round famous person in science-fiction circles—even provides a genealogy of the undead. By understanding how to combat zombies, readers will be introduced to a wide variety of modelling techniques that are applicable to other real-world issues (biology, epidemiology, medicine, public health, etc.). So if the zombies turn up, reach for this book. The future of the human race may depend on it.

Role of Mathematics on Human Structure

Author : Swapan Kumar Adhikārī
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Role of Mathematics on Human Structure by : Swapan Kumar Adhikārī

Download or read book Role of Mathematics on Human Structure written by Swapan Kumar Adhikārī and published by . This book was released on 2003 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Mathematical Physiology and Biology

Author : J. Mazumdar
Publisher : Cambridge University Press
ISBN 13 : 9780521646758
Total Pages : 244 pages
Book Rating : 4.6/5 (467 download)

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Book Synopsis An Introduction to Mathematical Physiology and Biology by : J. Mazumdar

Download or read book An Introduction to Mathematical Physiology and Biology written by J. Mazumdar and published by Cambridge University Press. This book was released on 1999-08-19 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. A range of topics are discussed: diffusion population dynamics, autonomous differential equations and the stability of ecosystems, biogeography, pharmokinetics, biofluid mechanics, cardiac mechanics, the spectral analysis of heart sounds using FFT techniques. The last chapter deals with a wide variety of commonly used medical devices. This book is based on courses taught by the author over many years and the material is well class tested. The reader is aided by many exercises that examine key points and extend the presentation in the body of the text. All students of mathematical biology will find this book to be a highly useful resource.

Mathematical Modelling

Author : Jagat Narain Kapur
Publisher : New Age International
ISBN 13 : 9788122400069
Total Pages : 276 pages
Book Rating : 4.4/5 ( download)

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Book Synopsis Mathematical Modelling by : Jagat Narain Kapur

Download or read book Mathematical Modelling written by Jagat Narain Kapur and published by New Age International. This book was released on 1988 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Models of Exoskeleton

Author : Andrey Valerievich Borisov
Publisher : Springer Nature
ISBN 13 : 3030977331
Total Pages : 232 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mathematical Models of Exoskeleton by : Andrey Valerievich Borisov

Download or read book Mathematical Models of Exoskeleton written by Andrey Valerievich Borisov and published by Springer Nature. This book was released on 2022-03-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the current state of the problem of describing the musculoskeletal system of a person. Models of the destruction of the endoskeleton and the restoration of its functions using exoskeleton are presented. A description is given of new approaches to modeling based on the use of weightless rods of variable length with concentrated masses. The practical application to the tasks of numerical simulation of the movements of the musculoskeletal system of a person is described. Exoskeleton models with variable-length units based on absolutely hard sections and sections that change their telescopic type length have been developed. The book is intended for specialists in the field of theoretical mechanics, biomechanics, robotics and related fields. The book will be useful to teachers, as well as graduate students, undergraduates and senior students of higher educational institutions, whose research interests lie in the modeling of anthropomorphic biomechanical systems.

Mathematical Modeling

Author : Sandip Banerjee
Publisher : CRC Press
ISBN 13 : 1482229161
Total Pages : 276 pages
Book Rating : 4.4/5 (822 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 2014-02-07 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differe