Mechanobiology Handbook

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Mechanobiology Handbook, Second Edition

Author : Jiro Nagatomi
Publisher : CRC Press
ISBN 13 : 042981674X
Total Pages : 705 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Mechanobiology Handbook, Second Edition by : Jiro Nagatomi

Download or read book Mechanobiology Handbook, Second Edition written by Jiro Nagatomi and published by CRC Press. This book was released on 2018-12-07 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanobiology—the study of the effects of mechanics on biological events—has evolved to answer numerous research questions. Mechanobiology Handbook 2nd Edition is a reference book for engineers, scientists, and clinicians who are interested in mechanobiology and a textbook for senior undergraduate to graduate level students of this growing field. Readers will gain a comprehensive review of recent research findings as well as elementary chapters on solid mechanics, fluid mechanics, and molecular analysis techniques. The new edition presents, in addition to the chapters of the first edition, homework problem sets that are available online and reviews of research in uncovered areas. Moreover, the new edition includes chapters on statistical analysis, design of experiments and optical imaging. The editors of this book are researchers and educators in mechanobiology. They realized a need for a single volume to assist course instructors as a guide for didactic teaching of mechanobiology to a diverse student body. A mechanobiology course is frequently made up of both undergraduate and graduate students pursuing degrees in engineering, biology, or integrated engineering and biology. Their goal was to present both the elementary and cutting-edge aspects of mechanobiology in a manner that is accessible to students from many different academic levels and from various disciplinary backgrounds. Moreover, it is their hope that the readers of Mechanobiology Handbook 2nd Edition will find study questions at the end of each chapter useful for long-term learning and further discussion. Comprehensive collection of reviews of recent research Introductory materials in mechanics, biology, and statistics Discussion of pioneering and emerging mechanobiology concepts Presentation of cutting-edge mechanobiology research findings across various fields and organ systems End of chapter study questions, available online Considering the complexity of the mechanics and the biology of the human body, most of the world of mechanobiology remains to be studied. Since the field is still developing, the Mechanobiology Handbook raises many different viewpoints and approaches with the intention of stimulating further research endeavours.

Mechanobiology Handbook

Author : Jiro Nagatomi
Publisher : CRC Press
ISBN 13 : 1420091220
Total Pages : 564 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mechanobiology Handbook by : Jiro Nagatomi

Download or read book Mechanobiology Handbook written by Jiro Nagatomi and published by CRC Press. This book was released on 2011-03-15 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanobiology-the study of the effects of mechanical environments on the biological processes of cells-has evolved from traditional biomechanics via the incorporation of strong elements of molecular and cell biology. Currently, a broad range of organ systems are being studied by surgeons, physicians, basic scientists, and engineers. These mechanob

Mechanobiology Handbook, Second Edition

Author : Jiro Nagatomi
Publisher : CRC Press
ISBN 13 : 0429816731
Total Pages : 960 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Mechanobiology Handbook, Second Edition by : Jiro Nagatomi

Download or read book Mechanobiology Handbook, Second Edition written by Jiro Nagatomi and published by CRC Press. This book was released on 2018-12-07 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanobiology—the study of the effects of mechanics on biological events—has evolved to answer numerous research questions. Mechanobiology Handbook 2nd Edition is a reference book for engineers, scientists, and clinicians who are interested in mechanobiology and a textbook for senior undergraduate to graduate level students of this growing field. Readers will gain a comprehensive review of recent research findings as well as elementary chapters on solid mechanics, fluid mechanics, and molecular analysis techniques. The new edition presents, in addition to the chapters of the first edition, homework problem sets that are available online and reviews of research in uncovered areas. Moreover, the new edition includes chapters on statistical analysis, design of experiments and optical imaging. The editors of this book are researchers and educators in mechanobiology. They realized a need for a single volume to assist course instructors as a guide for didactic teaching of mechanobiology to a diverse student body. A mechanobiology course is frequently made up of both undergraduate and graduate students pursuing degrees in engineering, biology, or integrated engineering and biology. Their goal was to present both the elementary and cutting-edge aspects of mechanobiology in a manner that is accessible to students from many different academic levels and from various disciplinary backgrounds. Moreover, it is their hope that the readers of Mechanobiology Handbook 2nd Edition will find study questions at the end of each chapter useful for long-term learning and further discussion. Comprehensive collection of reviews of recent research Introductory materials in mechanics, biology, and statistics Discussion of pioneering and emerging mechanobiology concepts Presentation of cutting-edge mechanobiology research findings across various fields and organ systems End of chapter study questions, available online Considering the complexity of the mechanics and the biology of the human body, most of the world of mechanobiology remains to be studied. Since the field is still developing, the Mechanobiology Handbook raises many different viewpoints and approaches with the intention of stimulating further research endeavours.

Mechanobiology Handbook

Author : Jiro Nagatomi
Publisher : CRC Press
ISBN 13 : 1420091212
Total Pages : 566 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mechanobiology Handbook by : Jiro Nagatomi

Download or read book Mechanobiology Handbook written by Jiro Nagatomi and published by CRC Press. This book was released on 2011-03-15 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanobiology—the study of the effects of mechanical environments on the biological processes of cells—has evolved from traditional biomechanics via the incorporation of strong elements of molecular and cell biology. Currently, a broad range of organ systems are being studied by surgeons, physicians, basic scientists, and engineers. These mechanobiologists aim to create new therapies and further biological understanding by quantifying the mechanical environment of cells and the molecular mechanisms of mechanically induced pathological conditions. To achieve these goals, investigators must be familiar with both the basic concepts of mechanics and the modern tools of cellular/molecular biology. Unfortunately, current literature contains numerous studies that misuse standard mechanical estimations and terminology, or fail to implement appropriate molecular analyses. Therefore, the Mechanobiology Handbook not only presents cutting-edge research findings across various fields and organ systems, but also provides the elementary chapters on mechanics and molecular analysis techniques to encourage cross-field understanding and appropriate planning. Aided by the continuous advancement of research tools in both mechanics and biology, more sophisticated experiments and analyses are possible—thus fueling the growth of the field of mechanobiology. Considering the complexity of the mechanics and the biology of the human body, most of the world of biomechanics remains to be studied. Since the field is still developing, the Mechanobiology Handbook does not force one unified theory, but brings out many different viewpoints and approaches to stimulate further research questions.

Mechanobiology Handbook

Author : Jiro Nagatomi
Publisher : CRC Press
ISBN 13 : 9781138072268
Total Pages : pages
Book Rating : 4.0/5 (722 download)

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Book Synopsis Mechanobiology Handbook by : Jiro Nagatomi

Download or read book Mechanobiology Handbook written by Jiro Nagatomi and published by CRC Press. This book was released on 2017-03-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanobiology--the study of the effects of mechanical environments on the biological processes of cells--has evolved from traditional biomechanics via the incorporation of strong elements of molecular and cell biology. Currently, a broad range of organ systems are being studied by surgeons, physicians, basic scientists, and engineers. These mechanobiologists aim to create new therapies and further biological understanding by quantifying the mechanical environment of cells and the molecular mechanisms of mechanically induced pathological conditions. To achieve these goals, investigators must be familiar with both the basic concepts of mechanics and the modern tools of cellular/molecular biology. Unfortunately, current literature contains numerous studies that misuse standard mechanical estimations and terminology, or fail to implement appropriate molecular analyses. Therefore, the Mechanobiology Handbook not only presents cutting-edge research findings across various fields and organ systems, but also provides the elementary chapters on mechanics and molecular analysis techniques to encourage cross-field understanding and appropriate planning. Aided by the continuous advancement of research tools in both mechanics and biology, more sophisticated experiments and analyses are possible--thus fueling the growth of the field of mechanobiology. Considering the complexity of the mechanics and the biology of the human body, most of the world of biomechanics remains to be studied. Since the field is still developing, the Mechanobiology Handbook does not force one unified theory, but brings out many different viewpoints and approaches to stimulate further research questions.

Mechanobiology in Health and Disease

Author : Stefaan Verbruggen
Publisher : Academic Press
ISBN 13 : 0128129530
Total Pages : 527 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Mechanobiology in Health and Disease by : Stefaan Verbruggen

Download or read book Mechanobiology in Health and Disease written by Stefaan Verbruggen and published by Academic Press. This book was released on 2018-08-09 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanobiology in Health and Disease brings together contributions from leading biologists, clinicians, physicists and engineers in one convenient volume, providing a unified source of information for researchers in this highly multidisciplinary area. Opening chapters provide essential background information on cell mechanotransduction and essential mechanobiology methods and techniques. Other sections focus on the study of mechanobiology in healthy systems, including bone, tendons, muscles, blood vessels, the heart and the skin, as well as mechanobiology studies of pregnancy. Final chapters address the nascent area of mechanobiology in disease, from the study of bone conditions, skin diseases and heart diseases to cancer. A discussion of future perspectives for research completes each chapter in the volume. This is a timely resource for both early-career and established researchers working on mechanobiology. Provides an essential digest of primary research from many fields and disciplines in one convenient volume Covers both experimental approaches and descriptions of mechanobiology problems from mathematical and numerical perspectives Addresses the hot topic of mechanobiology in disease, a particularly dynamic field of frontier science

The Biomedical Engineering Handbook

Author : Joseph D. Bronzino
Publisher : CRC Press
ISBN 13 : 1439863113
Total Pages : 5430 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis The Biomedical Engineering Handbook by : Joseph D. Bronzino

Download or read book The Biomedical Engineering Handbook written by Joseph D. Bronzino and published by CRC Press. This book was released on 2018-10-03 with total page 5430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive "bible" for the field of biomedical engineering, this collection of volumes is a major reference for all practicing biomedical engineers and students. Now in its fourth edition, this work presents a substantial revision, with all sections updated to offer the latest research findings. New sections address drugs and devices, personali

Mechanobiology

Author : Glen L. Niebur
Publisher : Elsevier
ISBN 13 : 0128179325
Total Pages : 256 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Mechanobiology by : Glen L. Niebur

Download or read book Mechanobiology written by Glen L. Niebur and published by Elsevier. This book was released on 2019-12-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanobiology: From Molecular Sensing to Disease will provide a review of the current state of understanding of mechanobiology and its role in health and disease. It covers: Current understanding of the main molecular pathways by which cells sense and respond to mechanical stimuli, A review of diseases that with known or purported mechanobiological underpinnings; The role of mechanobiology in tissue engineering and regenerative medicine; Experimental methods to capture mechanobiological phenomena; Computational models in mechanobiology. Presents our current understanding of the main molecular pathways by which cells sense and respond to mechanical stimuli Provides a review of diseases with known or purported mechanobiological underpinnings Includes the role of mechanobiology in tissue engineering and regenerative medicine Covers experimental methods to capture mechanobiological phenomena

The Mechanobiology of Obesity and Related Diseases

Author : Amit Gefen
Publisher : Springer
ISBN 13 : 3319093363
Total Pages : 298 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis The Mechanobiology of Obesity and Related Diseases by : Amit Gefen

Download or read book The Mechanobiology of Obesity and Related Diseases written by Amit Gefen and published by Springer. This book was released on 2014-10-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the state-of-knowledge in the study of the relationships between mechanical loading states in tissues and common pathophysiologies related to increase in mass of adipose tissues and/or hyperglycemia which eventually lead to obesity, diabetes, insulin resistance, hyperlipidemia, metabolic inflammations, certain types of cancer and other related diseases. There appears to be an interaction between the loading states in tissues and cells and these chronic conditions, as well as with factors such as age, gender and genetics of the individual. Bioengineering has made key contributions to this research field in providing technologies for cell biomechanics experimentation, microscopy and image processing, tissue engineering and multi-scale, multi-physics computational modeling. Topics at the frontier of this field of study include: the continuous monitoring of cell growth, proliferation and differentiation in response to mechanical factors such as stiffness of the extracellular matrix (ECM) and mechanical loads transferred through the ECM; mechanically-activated signaling pathways and molecular mechanisms; effects of different loading regimes and mechanical environments on differentiation fates of mesenchymal stem cells (MSCs) into myogenic and osteogenic versus adipogenic lineages; the interactions between nutrition and mechanotransduction; cell morphology, focal adhesion patterns and cytoskeletal remodeling changes in adipogenesis; activation of receptors related to diabetes by mechanical forces; brown and white adipose plasticity and its regulation by mechanical factors.

Biomateriomics

Author : Steven W. Cranford
Publisher : Springer Science & Business Media
ISBN 13 : 9400716117
Total Pages : 446 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Biomateriomics by : Steven W. Cranford

Download or read book Biomateriomics written by Steven W. Cranford and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomateriomics is the holistic study of biological material systems. While such systems are undoubtedly complex, we frequently encounter similar components -- universal building blocks and hierarchical structure motifs -- which result in a diverse set of functionalities. Similar to the way music or language arises from a limited set of music notes and words, we exploit the relationships between form and function in a meaningful way by recognizing the similarities between Beethoven and bone, or Shakespeare and silk. Through the investigation of material properties, examining fundamental links between processes, structures, and properties at multiple scales and their interactions, materiomics explains system functionality from the level of building blocks. Biomateriomics specifically focuses the analysis of the role of materials in the context of biological processes, the transfer of biological material principles towards biomimetic and bioinspired applications, and the study of interfaces between living and non-living systems. The challenges of biological materials are vast, but the convergence of biology, mathematics and engineering as well as computational and experimental techniques have resulted in the toolset necessary to describe complex material systems, from nano to macro. Applying biomateriomics can unlock Nature’s secret to high performance materials such as spider silk, bone, and nacre, and elucidate the progression and diagnosis or the treatment of diseases. Similarly, it contributes to develop a de novo understanding of biological material processes and to the potential of exploiting novel concepts in innovation, material synthesis and design.

Multiscale Cell-Biomaterials Interplay in Musculoskeletal Tissue Engineering and Regenerative Medicine

Author : J. Miguel Oliveira
Publisher : Elsevier
ISBN 13 : 0323972624
Total Pages : 556 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Multiscale Cell-Biomaterials Interplay in Musculoskeletal Tissue Engineering and Regenerative Medicine by : J. Miguel Oliveira

Download or read book Multiscale Cell-Biomaterials Interplay in Musculoskeletal Tissue Engineering and Regenerative Medicine written by J. Miguel Oliveira and published by Elsevier. This book was released on 2023-11-28 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiscale Cell-Biomaterials Interplay in Musculoskeletal Tissue Engineering and Regenerative Medicine addresses the key concepts involved in the interactions between cells and biomaterials in the musculoskeletal tissue engineering and regenerative medicine field. The updated developments and challenges of the mechanisms/mechanobiology and structure-function properties of those interactions, as well as emerging technologies underlying tissue-engineered scaffolding, are carefully discussed. Lastly, cell engineering and cell-based therapies, growth factors/drugs properties, vascularization, immunomodulation are also outlined. Given the large number of musculoskeletal disorders and related injuries that can affect muscles, bones and joints and lead to severe complications of the neuromuscular system, it is imperative to develop new treatment strategies to delay or repair associated diseases and to promote optimal long-term health. Presents the fundamentals of the complex interplay of cells with biomaterials in musculoskeletal tissue engineering Includes coverage of stem cells and cell-based therapies, in vitro and in vivo models, nanotechnology, bioprinting, computational modeling, regulatory and clinical translation, and much more Written by global leaders in the field

Retinal Degenerative Diseases

Author : Catherine Bowes Rickman
Publisher : Springer
ISBN 13 : 3319171216
Total Pages : 824 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Retinal Degenerative Diseases by : Catherine Bowes Rickman

Download or read book Retinal Degenerative Diseases written by Catherine Bowes Rickman and published by Springer. This book was released on 2015-10-01 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the XVI International Symposium on Retinal Degeneration (RD2014), to be held July 13-18, 2014 at the Asilomar Conference Center in Pacific Grove, California. A majority of those who will speak and present posters at the meeting will contribute to this volume. The Symposium addresses the blinding diseases of inherited retinal degenerations, which have no effective treatments and age-related macular degeneration, which has no cures, despite the fact that it is an epidemic among the elderly, with 1 in 3-4 affected by the age of 75. The RD2014 Symposium will focus on the exciting new developments aimed at understanding these diseases and providing therapies for them. The volume will present representative state-of-the-art research in almost all areas of retinal degenerations, ranging from cytopathologic, physiologic, diagnostic and clinical aspects; animal models; mechanisms of cell death; molecular genetics; and developing potential therapeutic measures such as gene therapy and neuroprotective agents for potential pharmaceutical therapy; and several sight restoration approaches, including optogenetics. While advances in these areas of retinal degenerations will be included, several new topics either were in their infancy or did not exist at the time of the last RD Symposium, RD2012. These include many new developments in sight restoration using optogenetics, retinal or RPE cell transplantation, stem cell approaches and visual prosthetic devices. In addition, major advances will be presented in other basic mechanisms in age-related macular degeneration, several new aspects of gene and antioxidant therapy and revolutionary new imaging and functional testing that will have a huge impact on the diagnosis and following the course of retinal degenerations, as well as to provide new quantitative endpoints for clinical trials. The retina is an approachable part of the central nervous system (CNS), and there is a major interest in neuroprotective and gene therapy for CNS diseases and neurodegenerations, in general. It should be noted that with successful and exciting initial clinical trials in neuroprotective and gene therapy, including the restoration of sight in blind children, the retinal degeneration therapies are leading the way towards new therapeutic measures for neurodegenerations of the CNS. Many of the successes recently reported in these areas of retinal degeneration sprang from collaborations established at previous RD Symposia, and many of those will be reported at the RD2014 meeting and included.

Lipoproteins

Author : Gerhard Kostner
Publisher : BoD – Books on Demand
ISBN 13 : 9535107739
Total Pages : 778 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Lipoproteins by : Gerhard Kostner

Download or read book Lipoproteins written by Gerhard Kostner and published by BoD – Books on Demand. This book was released on 2012-10-03 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: By typing into databases such as Medline or PubMed the word lipoprotein one gets more than 100.000 hits that highlight the common interest in this topic. It is actually impossible to cover all aspects of lipoprotein structure, function, metabolism and pathophysiology in one issue like the present volume, but attempts have been made to concentrate on topics that are in focus of current lipoprotein research. These topics have been divided into 10 sections. This volume will help new investigators in the field to get acquainted with the general topic of lipoprotein research and will guide scientists interested in this area to emerging new fields.

Osteoporosis

Author : Robert Marcus
Publisher : Academic Press
ISBN 13 : 0123982529
Total Pages : 2116 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Osteoporosis by : Robert Marcus

Download or read book Osteoporosis written by Robert Marcus and published by Academic Press. This book was released on 2013-06-13 with total page 2116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its fourth edition, Osteoporosis is a classic reference on this disease, comprising a tremendous wealth of knowledge in a single source not found elsewhere. Written by renowned experts in the field, this two-volume work is a must-have for academic and medical libraries, physicians, researchers, and any company involved in osteoporosis research and development. This newest edition covers everything from basic anatomy and physiology to diagnosis, management and treatment in which direct care costs for osteoporotic fractures in the United States reach up to $18 billion each year. Worldwide, 200 million women ages 60 to 80 suffer from osteoporosis and have a lifetime risk of fracture between 30% and 40%, continuing to make osteoporosis a critical challenge in medicine. Recognizes the critical importance of the Wnt signaling pathway for bone health Incorporates new chapters on osteocytes, phosphatonins, mouse genetics, and CNS and bone Examines essential updates on estrogen prevention and treatment and the recent results from the WHO Discusses the controversial topics of screening and clinical trial design for drug registration Includes essential updates on therapeutic uses of calcium, vitamin D, SERMS, bisphosphonates, and parathyroid hormone Offers critical reviews of reproductive and hormonal risk factors, ethnicity, nutrition, therapeutics, management, and economics

Marcus and Feldman's Osteoporosis

Author : David W. Dempster
Publisher : Academic Press
ISBN 13 : 0128130741
Total Pages : 1950 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Marcus and Feldman's Osteoporosis by : David W. Dempster

Download or read book Marcus and Feldman's Osteoporosis written by David W. Dempster and published by Academic Press. This book was released on 2020-10-08 with total page 1950 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marcus and Feldman's Osteoporosis, Fifth Edition, is the most comprehensive, authoritative reference on this disease. Led by a new editorial team, this fifth edition offers critical information on reproductive and hormonal risk factors, new therapeutics, ethnicity, nutrition, therapeutics, management and economics, comprising a tremendous wealth of knowledge in a single source not found elsewhere. Written by renowned experts in the field, this two-volume reference is a must-have for biomedical researchers, research clinicians, fellows, academic and medical libraries, and any company involved in osteoporosis drug research and development. Summarizes the latest research in bone biology and translational applications in a range of new therapeutic agents, including essential updates on therapeutic uses of calcium, vitamin D, SERMS, bisphosphonates, parathyroid hormone, and new therapeutic agents Recognizes the critical importance of new signaling pathways for bone health, including Wnt, OPG and RANK, of interest to both researchers who study bone biology and clinicians who treat osteoporosis Offers new insights into osteoporosis associated with menopause, pre-menopause, chronic kidney disease, diabetes, HIV and other immune disorders

Bio-inspired Materials for Biomedical Engineering

Author : Anthony B. Brennan
Publisher : John Wiley & Sons
ISBN 13 : 1118843436
Total Pages : 400 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Bio-inspired Materials for Biomedical Engineering by : Anthony B. Brennan

Download or read book Bio-inspired Materials for Biomedical Engineering written by Anthony B. Brennan and published by John Wiley & Sons. This book was released on 2014-03-19 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the latest bio-inspired materials synthesistechniques and biomedical applications that are advancing the fieldof tissue engineering. Bio-inspired concepts for biomedicalengineering are at the forefront of tissue engineering andregenerative medicine. Scientists, engineers and physicians areworking together to replicate the sophisticated hierarchicalorganization and adaptability found in nature and selected byevolution to recapitulate the cellular microenvironment. Thisbook demonstrates the dramatic clinical breakthroughs that havebeen made in engineering all four of the major tissue types andmodulating the immune system. Part I (Engineering Bio-inspired Material Microenvironments)covers Bio-inspired Presentation of Chemical Cues, Bio-inspiredPresentation of Physical Cues, and Bio-inspired Integration ofNatural Materials. Part II (Bio-inspired Tissue Engineering) addresses tissueengineering in epithelial tissue, muscle tissue, connective tissue,and the immune system.

Approximate Analytical Methods for Solving Ordinary Differential Equations

Author : T.S.L Radhika
Publisher : CRC Press
ISBN 13 : 1466588136
Total Pages : 584 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Approximate Analytical Methods for Solving Ordinary Differential Equations by : T.S.L Radhika

Download or read book Approximate Analytical Methods for Solving Ordinary Differential Equations written by T.S.L Radhika and published by CRC Press. This book was released on 2014-10-31 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. It covers both well-established techniques and recently developed procedures, including the classical series solution method, diverse perturbation methods, pioneering asymptotic methods, and the latest homotopy methods. The book is suitable not only for mathematicians and engineers but also for biologists, physicists, and economists. It gives a complete description of the methods without going deep into rigorous mathematical aspects. Detailed examples illustrate the application of the methods to solve real-world problems. The authors introduce the classical power series method for solving differential equations before moving on to asymptotic methods. They next show how perturbation methods are used to understand physical phenomena whose mathematical formulation involves a perturbation parameter and explain how the multiple-scale technique solves problems whose solution cannot be completely described on a single timescale. They then describe the Wentzel, Kramers, and Brillown (WKB) method that helps solve both problems that oscillate rapidly and problems that have a sudden change in the behavior of the solution function at a point in the interval. The book concludes with recent nonperturbation methods that provide solutions to a much wider class of problems and recent analytical methods based on the concept of homotopy of topology.