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Mathematical Models for Bioengineering and Probabilistic Systems

Mathematical Models for Bioengineering and Probabilistic Systems PDF Author: J. C. Misra
Publisher: Alpha Science Int'l Ltd.
ISBN: 9788173194931
Category : Mathematics
Languages : en
Pages : 502

Book Description
Consists of chapters devoted to the analysis of mathematical models for some important bio-engineering systems as well as probabilistic systems. This book aims to formulate mathematical models on a fairly general platform and to perform the analysis in relatively rigorous terms.

Mathematical Models for Bioengineering and Probabilistic Systems

Mathematical Models for Bioengineering and Probabilistic Systems PDF Author: J. C. Misra
Publisher: Alpha Science Int'l Ltd.
ISBN: 9788173194931
Category : Mathematics
Languages : en
Pages : 502

Book Description
Consists of chapters devoted to the analysis of mathematical models for some important bio-engineering systems as well as probabilistic systems. This book aims to formulate mathematical models on a fairly general platform and to perform the analysis in relatively rigorous terms.

Mathematical Modeling in Systems Biology

Mathematical Modeling in Systems Biology PDF Author: Brian P. Ingalls
Publisher: MIT Press
ISBN: 0262545829
Category : Science
Languages : en
Pages : 423

Book Description
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.

Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems

Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems PDF Author: Wai-yuan Tan
Publisher: World Scientific
ISBN: 981448931X
Category : Mathematics
Languages : en
Pages : 458

Book Description
This book presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations and stochastic differential equations. It illustrates how these processes and approaches are applied to many problems in genetics, carcinogenesis, AIDS epidemiology and other biomedical systems.One feature of the book is that it describes the basic MCMC (Markov chain and Monte Carlo) procedures and illustrates how to use the Gibbs sampling method and the multilevel Gibbs sampling method to solve many problems in genetics, carcinogenesis, AIDS and other biomedical systems.As another feature, the book develops many state space models for many genetic problems, carcinogenesis, AIDS epidemiology and HIV pathogenesis. It shows in detail how to use the multilevel Gibbs sampling method to estimate (or predict) simultaneously the state variables and the unknown parameters in cancer chemotherapy, carcinogenesis, AIDS epidemiology and HIV pathogenesis. As a matter of fact, this book is the first to develop many state space models for many genetic problems, carcinogenesis and other biomedical problems.

Multiscale Modelling in Biomedical Engineering

Multiscale Modelling in Biomedical Engineering PDF Author: Dimitrios I. Fotiadis
Publisher: John Wiley & Sons
ISBN: 1119517346
Category : Science
Languages : en
Pages : 404

Book Description
Multiscale Modelling in Biomedical Engineering Discover how multiscale modeling can enhance patient treatment and outcomes In Multiscale Modelling in Biomedical Engineering, an accomplished team of biomedical professionals delivers a robust treatment of the foundation and background of a general computational methodology for multi-scale modeling. The authors demonstrate how this methodology can be applied to various fields of biomedicine, with a particular focus on orthopedics and cardiovascular medicine. The book begins with a description of the relationship between multiscale modeling and systems biology before moving on to proceed systematically upwards in hierarchical levels from the molecular to the cellular, tissue, and organ level. It then examines multiscale modeling applications in specific functional areas, like mechanotransduction, musculoskeletal, and cardiovascular systems. Multiscale Modelling in Biomedical Engineering offers readers experiments and exercises to illustrate and implement the concepts contained within. Readers will also benefit from the inclusion of: A thorough introduction to systems biology and multi-scale modeling, including a survey of various multi-scale methods and approaches and analyses of their application in systems biology Comprehensive explorations of biomedical imaging and nanoscale modeling at the molecular, cell, tissue, and organ levels Practical discussions of the mechanotransduction perspective, including recent progress and likely future challenges In-depth examinations of risk prediction in patients using big data analytics and data mining Perfect for undergraduate and graduate students of bioengineering, biomechanics, biomedical engineering, and medicine, Multiscale Modelling in Biomedical Engineering will also earn a place in the libraries of industry professional and researchers seeking a one-stop reference to the basic engineering principles of biological systems.

Applied Biomechatronics Using Mathematical Models

Applied Biomechatronics Using Mathematical Models PDF Author: Jorge Garza Ulloa
Publisher: Academic Press
ISBN: 0128125950
Category : Technology & Engineering
Languages : en
Pages : 664

Book Description
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

Biomedical Engineering

Biomedical Engineering PDF Author: Sang C. Suh
Publisher: Springer Science & Business Media
ISBN: 146140116X
Category : Computers
Languages : en
Pages : 285

Book Description
Biomedical Engineering: Health Care Systems, Technology and Techniques is an edited volume with contributions from world experts. It provides readers with unique contributions related to current research and future healthcare systems. Practitioners and researchers focused on computer science, bioinformatics, engineering and medicine will find this book a valuable reference.

Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations

Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations PDF Author: André H. Erhardt
Publisher: Frontiers Media SA
ISBN: 2832514588
Category : Science
Languages : en
Pages : 209

Book Description


Biomedical Engineering Systems and Technologies

Biomedical Engineering Systems and Technologies PDF Author: Xuesong Ye
Publisher: Springer Nature
ISBN: 3030723798
Category : Medical
Languages : en
Pages : 612

Book Description
This book constitutes extended and revised versions of the selected papers from the 13th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2020, held in Valletta, Malta, in February 2020. The 29 revised and extended full papers presented were carefully reviewed and selected from a total of 363 submissions. The papers are organized in topical sections on biomedical electronics and devices; bioimaging; bioinformatics models, methods and algorithms; bio-inspired systems and signal processing; health informatic

Modern Applied Mathematics

Modern Applied Mathematics PDF Author: J. C. Misra
Publisher: Alpha Science Int'l Ltd.
ISBN: 9788173194924
Category : Mathematics
Languages : en
Pages : 572

Book Description
This comprehensive volume introduces educational units dealing with important topics of modern applied mathematics. Chapters include comprehensive information on different topics such as: Methods of Approximation for Mapping in Probability Spaces, Mathematical Modelling of Seismic Sources, Climate Variability, Geometry of Differential Equations, Modelling of Particle-Driven Gravity Currents, Impulsive Free-Surface Flows, Internal Wave Propagation, Isogroups and Exact Solutions of Higher Order Boltzman Equation, Molecular and Particle Modelling, Asymptotic Behaviour of Solutions of Nonlinear Partial Differential Equations, Mixed Boundary Value Problems, Dual Integral Equations, Dual Series Equations and their Applications, Evolutionary Mechanisms of Organization in Complex Systems, Zero-Sum Differential Games, Bernoulli Convolutions, Probability Distribution Functions, O.D.E. Approach to Stochastic Approximation, Bayesian Inference on the Long Range Dependence.

Introduction to Biomedical Engineering

Introduction to Biomedical Engineering PDF Author: John Enderle
Publisher: Elsevier
ISBN: 0080473148
Category : Science
Languages : en
Pages : 1141

Book Description
Under the direction of John Enderle, Susan Blanchard and Joe Bronzino, leaders in the field have contributed chapters on the most relevant subjects for biomedical engineering students. These chapters coincide with courses offered in all biomedical engineering programs so that it can be used at different levels for a variety of courses of this evolving field. Introduction to Biomedical Engineering, Second Edition provides a historical perspective of the major developments in the biomedical field. Also contained within are the fundamental principles underlying biomedical engineering design, analysis, and modeling procedures. The numerous examples, drill problems and exercises are used to reinforce concepts and develop problem-solving skills making this book an invaluable tool for all biomedical students and engineers. New to this edition: Computational Biology, Medical Imaging, Genomics and Bioinformatics.* 60% update from first edition to reflect the developing field of biomedical engineering* New chapters on Computational Biology, Medical Imaging, Genomics, and Bioinformatics* Companion site: http://intro-bme-book.bme.uconn.edu/* MATLAB and SIMULINK software used throughout to model and simulate dynamic systems* Numerous self-study homework problems and thorough cross-referencing for easy use