Current Catalog

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ISBN 13 :
Total Pages : 1956 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Current Catalog by : National Library of Medicine (U.S.)

Download or read book Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on with total page 1956 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Predictive Modeling in Biomedical Data Mining and Analysis

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Publisher : Academic Press
ISBN 13 : 0323914454
Total Pages : 346 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Predictive Modeling in Biomedical Data Mining and Analysis by : Sudipta Roy

Download or read book Predictive Modeling in Biomedical Data Mining and Analysis written by Sudipta Roy and published by Academic Press. This book was released on 2022-08-28 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Predictive Modeling in Biomedical Data Mining and Analysis presents major technical advancements and research findings in the field of machine learning in biomedical image and data analysis. The book examines recent technologies and studies in preclinical and clinical practice in computational intelligence. The authors present leading-edge research in the science of processing, analyzing and utilizing all aspects of advanced computational machine learning in biomedical image and data analysis. As the application of machine learning is spreading to a variety of biomedical problems, including automatic image segmentation, image classification, disease classification, fundamental biological processes, and treatments, this is an ideal reference. Machine Learning techniques are used as predictive models for many types of applications, including biomedical applications. These techniques have shown impressive results across a variety of domains in biomedical engineering research. Biology and medicine are data-rich disciplines, but the data are complex and often ill-understood, hence the need for new resources and information. - Includes predictive modeling algorithms for both Supervised Learning and Unsupervised Learning for medical diagnosis, data summarization and pattern identification - Offers complete coverage of predictive modeling in biomedical applications, including data visualization, information retrieval, data mining, image pre-processing and segmentation, mathematical models and deep neural networks - Provides readers with leading-edge coverage of biomedical data processing, including high dimension data, data reduction, clinical decision-making, deep machine learning in large data sets, multimodal, multi-task, and transfer learning, as well as machine learning with Internet of Biomedical Things applications

Empirical Modeling and Data Analysis for Engineers and Applied Scientists

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Publisher : Springer
ISBN 13 : 3319327682
Total Pages : 255 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Empirical Modeling and Data Analysis for Engineers and Applied Scientists by : Scott A. Pardo

Download or read book Empirical Modeling and Data Analysis for Engineers and Applied Scientists written by Scott A. Pardo and published by Springer. This book was released on 2016-07-19 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook teaches advanced undergraduate and first-year graduate students in Engineering and Applied Sciences to gather and analyze empirical observations (data) in order to aid in making design decisions. While science is about discovery, the primary paradigm of engineering and "applied science" is design. Scientists are in the discovery business and want, in general, to understand the natural world rather than to alter it. In contrast, engineers and applied scientists design products, processes, and solutions to problems. That said, statistics, as a discipline, is mostly oriented toward the discovery paradigm. Young engineers come out of their degree programs having taken courses such as "Statistics for Engineers and Scientists" without any clear idea as to how they can use statistical methods to help them design products or processes. Many seem to think that statistics is only useful for demonstrating that a device or process actually does what it was designed to do. Statistics courses emphasize creating predictive or classification models - predicting nature or classifying individuals, and statistics is often used to prove or disprove phenomena as opposed to aiding in the design of a product or process. In industry however, Chemical Engineers use designed experiments to optimize petroleum extraction; Manufacturing Engineers use experimental data to optimize machine operation; Industrial Engineers might use data to determine the optimal number of operators required in a manual assembly process. This text teaches engineering and applied science students to incorporate empirical investigation into such design processes. Much of the discussion in this book is about models, not whether the models truly represent reality but whether they adequately represent reality with respect to the problems at hand; many ideas focus on how to gather data in the most efficient way possible to construct adequate models. Includes chapters on subjects not often seen together in a single text (e.g., measurement systems, mixture experiments, logistic regression, Taguchi methods, simulation) Techniques and concepts introduced present a wide variety of design situations familiar to engineers and applied scientists and inspire incorporation of experimentation and empirical investigation into the design process. Software is integrally linked to statistical analyses with fully worked examples in each chapter; fully worked using several packages: SAS, R, JMP, Minitab, and MS Excel - also including discussion questions at the end of each chapter. The fundamental learning objective of this textbook is for the reader to understand how experimental data can be used to make design decisions and to be familiar with the most common types of experimental designs and analysis methods.

Biomedical Modeling and Simulation on a PC

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Publisher : Springer Science & Business Media
ISBN 13 : 1461391636
Total Pages : 533 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Biomedical Modeling and Simulation on a PC by : Rogier P.van Wijk van Brievingh

Download or read book Biomedical Modeling and Simulation on a PC written by Rogier P.van Wijk van Brievingh and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: I have long had an interest in the life sciences, but have had few opportunities to indulge that interest in my professional activities. It has only been through simulation that those opportunities have arisen. Some of my most enjoyable classes were those I taught to students in the life sciences, where I attempted to show them the value of simulation to their discipline. That there is such a value cannot be questioned. Whether you are interested in population ecology, phar macokinetics, the cardiovascular system, or cell interaction, simulation can play a vital role in explaining the underlying processes and in enhancing our understanding of these processes. This book comprises an excellent collection of contributions, and clearly demonstrates the value of simulation in the particular areas of physiology and bioengineering. My main frustration when teaching these classes to people with little or no computer background was the lack of suitable simulation software. This di rectly inspired my own attempts at producing software usable by the computer novice. It is especially nice that software is available that enables readers to experience the examples in this book for themselves. I would like to congratulate and thank the editors, Rogier P. van Wijk van Brievingh and Dietmar P. P. Moller, for all of their excellent efforts. They should be proud of their achievement. This is the sixth volume in the Advances in Simulation series, and other volumes are in preparation.

Multiscale Modelling in Biomedical Engineering

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Publisher : John Wiley & Sons
ISBN 13 : 1119517346
Total Pages : 404 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Multiscale Modelling in Biomedical Engineering by : Dimitrios I. Fotiadis

Download or read book Multiscale Modelling in Biomedical Engineering written by Dimitrios I. Fotiadis and published by John Wiley & Sons. This book was released on 2023-06-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

UKSC 84

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Publisher : Butterworth-Heinemann
ISBN 13 : 1483144577
Total Pages : 562 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis UKSC 84 by : D.J. Murray-Smith

Download or read book UKSC 84 written by D.J. Murray-Smith and published by Butterworth-Heinemann. This book was released on 2014-05-20 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: UKSC 84 contains the proceedings of the 1984 United Kingdom Simulation Council Conference on Computer Simulation held at the University of Bath, England. The papers describe computer simulation techniques and their applications and cover topics ranging from simulation methodology and software to the various applications of computer simulation in areas such as policy decision-making and planning, biology and medicine, and education. This book is comprised of 52 chapters divided into nine sections and begins by describing an advanced continuous-system simulation language called ESL (ESA Simulation Language), an initiative of the European Space Agency. The papers that follow explore other simulation software, such as MANIP, SYSMOD, COSMOS, Ada, SDL (Simulation Development Language), and SPIRO (Suite of Programs for the Investigation of Recondite Objects). The discussion then turns to a methodology based on artificial intelligence for the design and development of large-scale computer simulations; a formalism for specifying continuous or fixed time-step simulation models that is a straightforward extension of the block-oriented languages, with emphasis on superblocks and tesselations; and simulation of manufacturing and control systems. This book concludes with a chapter that describes a highly efficient compactor for a radar digital database. This monograph will be of interest to students and professionals working in the field of computer simulation.

Computer Simulation Validation

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Publisher : Springer
ISBN 13 : 3319707663
Total Pages : 1056 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Computer Simulation Validation by : Claus Beisbart

Download or read book Computer Simulation Validation written by Claus Beisbart and published by Springer. This book was released on 2019-04-09 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume introduces and discusses the methods of validating computer simulations in scientific research. The core concepts, strategies, and techniques of validation are explained by an international team of pre-eminent authorities, drawing on expertise from various fields ranging from engineering and the physical sciences to the social sciences and history. The work also offers new and original philosophical perspectives on the validation of simulations. Topics and features: introduces the fundamental concepts and principles related to the validation of computer simulations, and examines philosophical frameworks for thinking about validation; provides an overview of the various strategies and techniques available for validating simulations, as well as the preparatory steps that have to be taken prior to validation; describes commonly used reference points and mathematical frameworks applicable to simulation validation; reviews the legal prescriptions, and the administrative and procedural activities related to simulation validation; presents examples of best practice that demonstrate how methods of validation are applied in various disciplines and with different types of simulation models; covers important practical challenges faced by simulation scientists when applying validation methods and techniques; offers a selection of general philosophical reflections that explore the significance of validation from a broader perspective. This truly interdisciplinary handbook will appeal to a broad audience, from professional scientists spanning all natural and social sciences, to young scholars new to research with computer simulations. Philosophers of science, and methodologists seeking to increase their understanding of simulation validation, will also find much to benefit from in the text.

Advanced Simulation in Biomedicine

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Publisher : Springer Science & Business Media
ISBN 13 : 1441986146
Total Pages : 206 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Advanced Simulation in Biomedicine by : Dietmar P.F. Möller

Download or read book Advanced Simulation in Biomedicine written by Dietmar P.F. Möller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of invited contributions, each reflecting an area of biomedicine in which simulation techniques have been successfully applied. Thus, it provides a state-of-the-art survey of simulation techniques in a variety of biomedical applications. Chapter one presents the conceptual framework for advanced simulations such as parallel processing in biological systems. Chapter two focuses on structured biological modeling based on the bond graph method. This is followed by an up-to-date account of advanced simulation of a variety of sophisticated biomedical processes. The authors provide many insights into how computer simulation techniques and tools can be applied to research problems in biomedicine. The idea for this book arose out of the daily work by experts in their field and reflects developing areas. Therefore, I think the material is timely and hope that the work described will be an encouragement for others. It is the objective of this book to present advanced simulation techniques in biomedicine and outline current research, as well as to point out open problems, in this dynamic field. Finally, I wish to express my thanks to those colleagues who have made this book possible with their contributions.

Computer Simulation and Data Analysis in Molecular Biology and Biophysics

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Publisher : Springer Science & Business Media
ISBN 13 : 1441900837
Total Pages : 325 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Computer Simulation and Data Analysis in Molecular Biology and Biophysics by : Victor Bloomfield

Download or read book Computer Simulation and Data Analysis in Molecular Biology and Biophysics written by Victor Bloomfield and published by Springer Science & Business Media. This book was released on 2009-06-05 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to two important aspects of modern bioch- istry, molecular biology, and biophysics: computer simulation and data analysis. My aim is to introduce the tools that will enable students to learn and use some f- damental methods to construct quantitative models of biological mechanisms, both deterministicandwithsomeelementsofrandomness;tolearnhowconceptsofpr- ability can help to understand important features of DNA sequences; and to apply a useful set of statistical methods to analysis of experimental data. The availability of very capable but inexpensive personal computers and software makes it possible to do such work at a much higher level, but in a much easier way, than ever before. TheExecutiveSummaryofthein?uential2003reportfromtheNationalAcademy of Sciences, “BIO 2010: Transforming Undergraduate Education for Future - search Biologists” [12], begins The interplay of the recombinant DNA, instrumentation, and digital revolutions has p- foundly transformed biological research. The con?uence of these three innovations has led to important discoveries, such as the mapping of the human genome. How biologists design, perform, and analyze experiments is changing swiftly. Biological concepts and models are becoming more quantitative, and biological research has become critically dependent on concepts and methods drawn from other scienti?c disciplines. The connections between the biological sciences and the physical sciences, mathematics, and computer science are rapidly becoming deeper and more extensive.

Testing and Validation of Computer Simulation Models

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Publisher : Springer
ISBN 13 : 3319150995
Total Pages : 258 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Testing and Validation of Computer Simulation Models by : David J. Murray-Smith

Download or read book Testing and Validation of Computer Simulation Models written by David J. Murray-Smith and published by Springer. This book was released on 2015-10-08 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This must-read text/reference provides a practical guide to processes involved in the development and application of dynamic simulation models, covering a wide range of issues relating to testing, verification and validation. Illustrative example problems in continuous system simulation are presented throughout the book, supported by extended case studies from a number of interdisciplinary applications. Topics and features: provides an emphasis on practical issues of model quality and validation, along with questions concerning the management of simulation models, the use of model libraries, and generic models; contains numerous step-by-step examples; presents detailed case studies, often with accompanying datasets; includes discussion of hybrid models, which involve a combination of continuous system and discrete-event descriptions; examines experimental modeling approaches that involve system identification and parameter estimation; offers supplementary material at an associated website.

National Library of Medicine Current Catalog

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ISBN 13 :
Total Pages : 988 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis National Library of Medicine Current Catalog by : National Library of Medicine (U.S.)

Download or read book National Library of Medicine Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt:

AFOSR Technical Report Summaries

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis AFOSR Technical Report Summaries by :

Download or read book AFOSR Technical Report Summaries written by and published by . This book was released on 1984 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models

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Publisher : Elsevier
ISBN 13 : 0128209348
Total Pages : 705 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models by : Jorge Garza Ulloa

Download or read book Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models written by Jorge Garza Ulloa and published by Elsevier. This book was released on 2021-11-30 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models focuses on the relationship between three different multidisciplinary branches of engineering: Biomedical Engineering, Cognitive Science and Computer Science through Artificial Intelligence models. These models will be used to study how the nervous system and musculoskeletal system obey movement orders from the brain, as well as the mental processes of the information during cognition when injuries and neurologic diseases are present in the human body. The interaction between these three areas are studied in this book with the objective of obtaining AI models on injuries and neurologic diseases of the human body, studying diseases of the brain, spine and the nerves that connect them with the musculoskeletal system. There are more than 600 diseases of the nervous system, including brain tumors, epilepsy, Parkinson's disease, stroke, and many others. These diseases affect the human cognitive system that sends orders from the central nervous system (CNS) through the peripheral nervous systems (PNS) to do tasks using the musculoskeletal system. These actions can be detected by many Bioinstruments (Biomedical Instruments) and cognitive device data, allowing us to apply AI using Machine Learning-Deep Learning-Cognitive Computing models through algorithms to analyze, detect, classify, and forecast the process of various illnesses, diseases, and injuries of the human body. Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models provides readers with the study of injuries, illness, and neurological diseases of the human body through Artificial Intelligence using Machine Learning (ML), Deep Learning (DL) and Cognitive Computing (CC) models based on algorithms developed with MATLAB® and IBM Watson®. - Provides an introduction to Cognitive science, cognitive computing and human cognitive relation to help in the solution of AI Biomedical engineering problems - Explain different Artificial Intelligence (AI) including evolutionary algorithms to emulate natural evolution, reinforced learning, Artificial Neural Network (ANN) type and cognitive learning and to obtain many AI models for Biomedical Engineering problems - Includes coverage of the evolution Artificial Intelligence through Machine Learning (ML), Deep Learning (DL), Cognitive Computing (CC) using MATLAB® as a programming language with many add-on MATLAB® toolboxes, and AI based commercial products cloud services as: IBM (Cognitive Computing, IBM Watson®, IBM Watson Studio®, IBM Watson Studio Visual Recognition®), and others - Provides the necessary tools to accelerate obtaining results for the analysis of injuries, illness, and neurologic diseases that can be detected through the static, kinetics and kinematics, and natural body language data and medical imaging techniques applying AI using ML-DL-CC algorithms with the objective of obtaining appropriate conclusions to create solutions that improve the quality of life of patients

Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models

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Publisher : Elsevier
ISBN 13 : 0128207183
Total Pages : 704 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models by : Jorge Garza Ulloa

Download or read book Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models written by Jorge Garza Ulloa and published by Elsevier. This book was released on 2021-11-29 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models focuses on the relationship between three different multidisciplinary branches of engineering: Biomedical Engineering, Cognitive Science and Computer Science through Artificial Intelligence models. These models will be used to study how the nervous system and musculoskeletal system obey movement orders from the brain, as well as the mental processes of the information during cognition when injuries and neurologic diseases are present in the human body. The interaction between these three areas are studied in this book with the objective of obtaining AI models on injuries and neurologic diseases of the human body, studying diseases of the brain, spine and the nerves that connect them with the musculoskeletal system. There are more than 600 diseases of the nervous system, including brain tumors, epilepsy, Parkinson's disease, stroke, and many others. These diseases affect the human cognitive system that sends orders from the central nervous system (CNS) through the peripheral nervous systems (PNS) to do tasks using the musculoskeletal system. These actions can be detected by many Bioinstruments (Biomedical Instruments) and cognitive device data, allowing us to apply AI using Machine Learning-Deep Learning-Cognitive Computing models through algorithms to analyze, detect, classify, and forecast the process of various illnesses, diseases, and injuries of the human body. Applied Biomedical Engineering Using Artificial Intelligence and Cognitive Models provides readers with the study of injuries, illness, and neurological diseases of the human body through Artificial Intelligence using Machine Learning (ML), Deep Learning (DL) and Cognitive Computing (CC) models based on algorithms developed with MATLAB® and IBM Watson®. Provides an introduction to Cognitive science, cognitive computing and human cognitive relation to help in the solution of AI Biomedical engineering problems Explain different Artificial Intelligence (AI) including evolutionary algorithms to emulate natural evolution, reinforced learning, Artificial Neural Network (ANN) type and cognitive learning and to obtain many AI models for Biomedical Engineering problems Includes coverage of the evolution Artificial Intelligence through Machine Learning (ML), Deep Learning (DL), Cognitive Computing (CC) using MATLAB® as a programming language with many add-on MATLAB® toolboxes, and AI based commercial products cloud services as: IBM (Cognitive Computing, IBM Watson®, IBM Watson Studio®, IBM Watson Studio Visual Recognition®), and others Provides the necessary tools to accelerate obtaining results for the analysis of injuries, illness, and neurologic diseases that can be detected through the static, kinetics and kinematics, and natural body language data and medical imaging techniques applying AI using ML-DL-CC algorithms with the objective of obtaining appropriate conclusions to create solutions that improve the quality of life of patients

Biomechanics and Exercise Physiology

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Publisher : CRC Press
ISBN 13 : 1420019074
Total Pages : 686 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Biomechanics and Exercise Physiology by : Arthur T. Johnson

Download or read book Biomechanics and Exercise Physiology written by Arthur T. Johnson and published by CRC Press. This book was released on 2007-03-09 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whether you are a bioengineer designing prosthetics, an aerospace scientist involved in life support, a kinesiologist training athletes, or an occupational physician prescribing an exercise regimen, you need the latest edition of Biomechanics and Exercise Physiology: Quantitative Modeling. Using numerous worked examples to demonstrate what and when

Statistical and Mathematical Methods in Population Dynamics

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Publisher : CRC Press
ISBN 13 : 9789061915485
Total Pages : 260 pages
Book Rating : 4.9/5 (154 download)

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Book Synopsis Statistical and Mathematical Methods in Population Dynamics by : R. Cavalloro

Download or read book Statistical and Mathematical Methods in Population Dynamics written by R. Cavalloro and published by CRC Press. This book was released on 1984-06-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling and estimation of pest population, Data collection and analysis in pest control, Methods for pest control, Pest management systems.

Continuous System Simulation

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Publisher : Springer Science & Business Media
ISBN 13 : 1461525047
Total Pages : 258 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Continuous System Simulation by : D.J. Murray-Smith

Download or read book Continuous System Simulation written by D.J. Murray-Smith and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: obtained by simulation more quickly, effec Computer simulation of dynamic systems is a topic which is growing steadily in importance tively and cheaply than by experimentation and testing of the real system. System perfor in the physical sciences, engineering, biology and medicine. The reasons for this trend mance can also be investigated using simula relate not only to the steadily increasing tion for a much wider range of conditions than can be contemplated for the real system power of computers and the rapidly falling costs of hardware, but also to the availability because of operating constraints or safety of appropriate software tools in the form of requirements. Similar factors can apply in simulation languages. Problem-oriented lan other fields, such as biomedical systems guages of this kind assist those who are not engineering. specialists in computational methods to trans System simulation, using digital computers, can relate either to models based on continu late a mathematical description into a simula tion program in a simple and straightforward ous variables or to discrete-event descriptions. fashion. They can also provide useful diag Continuous system simulation techniques are applied to systems described by sets of differ nostic information when difficulties are encountered. Therefore, a simulation lan ential equations and algebraic equations.