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31 Holcman, David Stochastic Narrow Escape in Molecular and Cellular Biology I06174 2015 eBook  
32 Thiriet, Marc Signaling at the Cell Surface in the Circulatory and Ventilatory Systems I06089 2012 eBook  
33 Thiriet, Marc Tissue Functioning and Remodeling in the Circulatory and Ventilatory Systems I05824 2013 eBook  
34 Antonelli, P.L The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology I05168 1993 eBook  
35 Tu, Pierre N.V Dynamical Systems I05067 1994 eBook  
36 M??ller, Stefan C Transport and Structure I03771 1999 eBook  
37 Glass, Leon Theory of Heart I03631 1991 eBook  
38 Mikhailov, Alexander S Foundations of Synergetics II I02745 1991 eBook  
39 Haken, Hermann Interdisciplinary Approaches to Nonlinear Complex Systems I02698 1993 eBook  
40 Antonelli, P.L Lagrange and Finsler Geometry I02623 1996 eBook  
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31.    
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TitleStochastic Narrow Escape in Molecular and Cellular Biology : Analysis and Applications
Author(s)Holcman, David;Schuss, Zeev
PublicationNew York, NY, Springer New York, 2015.
DescriptionXIX, 259 p. 76 illus., 38 illus. in color : online resource
Abstract NoteThis book covers recent developments in the non-standard asymptotics of the mathematical narrow escape problem in stochastic theory, as well as applications of the narrow escape problem in cell biology. The first part of the book concentrates on mathematical methods, including advanced asymptotic methods in partial equations, and is aimed primarily at applied mathematicians and theoretical physicists who are interested in biological applications. The second part of the book is intended for computational biologists, theoretical chemists, biochemists, biophysicists, and physiologists. It includes a summary of output formulas from the mathematical portion of the book and concentrates on their applications in modeling specific problems in theoretical molecular and cellular biology. Critical biological processes, such as synaptic plasticity and transmission, activation of genes by transcription factors, or double-strained DNA break repair, are controlled by diffusion in structures that have both large and small spatial scales. These may be small binding sites inside or on the surface of the cell, or narrow passages between subcellular compartments. The great disparity in spatial scales is the key to controlling cell function by structure. This volume reports recent progress on resolving analytical and numerical difficulties in extracting properties from experimental data, biophysical models, and from Brownian dynamics simulations of diffusion in multi-scale structures
ISBN,Price9781493931033
Keyword(s)1. Biological and Medical Physics, Biophysics 2. BIOLOGICAL PHYSICS 3. BIOMATHEMATICS 4. BIOPHYSICS 5. CELL BIOLOGY 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical and Computational Biology 9. Numerical and Computational Physics, Simulation 10. PHYSICS
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32.     
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TitleSignaling at the Cell Surface in the Circulatory and Ventilatory Systems
Author(s)Thiriet, Marc
PublicationNew York, NY, Springer New York, 2012.
DescriptionXV, 982 p : online resource
Abstract NoteThe volumes in this authoritative series present a multidisciplinary approach to modeling and simulation of flows in the cardiovascular and ventilatory systems, especially multiscale modeling and coupled simulations. The cardiovascular and respiratory systems are tightly coupled, as their primary function is to supply oxygen to and remove carbon dioxide from the body's cells. Because physiological conduits have deformable and reactive walls, macroscopic flow behavior and prediction must be coupled to nano- and microscopic events in a corrector scheme of regulated mechanisms when the vessel lumen caliber varies markedly. Therefore, investigation of flows of blood and air in physiological conduits requires an understanding of the biology, chemistry, and physics of these systems together with the mathematical tools to describe their functioning. Volume 3 is devoted to the set of mediators of the cell surface, especially ion and molecular carriers and catalytic receptors that, once liganded and activated, initiate signal transduction pathways. Intracellular cascades of chemical reactions trigger the release of substances stored in cellular organelles and/or gene transcription and protein synthesis. Primary mediators are included in models of regulated cellular processes, but multiple secondary signaling components are discarded to allow simple, representative modeling and to manage their inverse problems. Reviews signaling pathways in the regulation of circulatory and respiratory function Describes ion and molecular carriers and receptors Integrates biology, chemistry, and physics for a multidisciplinary understanding of physiological flows
ISBN,Price9781461419914
Keyword(s)1. Biological and Medical Physics, Biophysics 2. BIOLOGICAL PHYSICS 3. BIOMATHEMATICS 4. Biomedical engineering 5. Biomedical Engineering and Bioengineering 6. BIOPHYSICS 7. CARDIOLOGY 8. EBOOK 9. EBOOK - SPRINGER 10. Engineering Fluid Dynamics 11. FLUID MECHANICS 12. Mathematical and Computational Biology 13. Systems biology
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33.     
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TitleTissue Functioning and Remodeling in the Circulatory and Ventilatory Systems
Author(s)Thiriet, Marc
PublicationNew York, NY, Springer New York, 2013.
DescriptionXXI, 962 p. 72 illus., 3 illus. in color : online resource
Abstract NoteThe volumes in this authoritative series present a multidisciplinary approach to modeling and simulation of flows in the cardiovascular and ventilatory systems, especially multiscale modeling and coupled simulations. Volume 5 is devoted to cells, tissues, and organs of the cardiovascular and ventilatory systems with an emphasis on mechanotransduction-based regulation of flow. The blood vessel wall is a living tissue that quickly reacts to loads applied on it by the flowing blood. In any segment of a blood vessel, the endothelial and smooth muscle cells can sense unusual time variations in small-magnitude wall shear stress and large-amplitude wall stretch generated by abnormal hemodynamic stresses. These cells respond with a short-time scale (from seconds to hours) to adapt the vessel caliber. Since such adaptive cell activities can be described using mathematical models, a key objective of this volume is to identify the mesoscopic agents and nanoscopic mediators required to derive adequate mathematical models.?? The resulting biomathematical models and corresponding simulation software can be incorporated into platforms developed in virtual physiology for improved understanding and training. Reviews structure and function of major constituents of the circulatory and respiratory apparatus Describes major cellular processes involved in signaling, interactions, and adaptive responses of physiological conduits Integrates biology, chemistry, and physics for the multidisciplinary exploration and modeling of physiological flows Focuses on mechanotransduction-induced regulation
ISBN,Price9781461459668
Keyword(s)1. Biological and Medical Physics, Biophysics 2. BIOLOGICAL PHYSICS 3. BIOMATHEMATICS 4. Biomedical engineering 5. Biomedical Engineering and Bioengineering 6. BIOPHYSICS 7. CARDIOLOGY 8. EBOOK 9. EBOOK - SPRINGER 10. Engineering Fluid Dynamics 11. FLUID MECHANICS 12. Mathematical and Computational Biology 13. Systems biology
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34.     
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TitleThe Theory of Sprays and Finsler Spaces with Applications in Physics and Biology
Author(s)Antonelli, P.L;Ingarden, Roman S;Matsumoto, M
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXVI, 312 p : online resource
Abstract NoteThe present book has been written by two mathematicians and one physicist: a pure mathematician specializing in Finsler geometry (Makoto Matsumoto), one working in mathematical biology (Peter Antonelli), and a mathematical physicist specializing in information thermodynamics (Roman Ingarden). The main purpose of this book is to present the principles and methods of sprays (path spaces) and Finsler spaces together with examples of applications to physical and life sciences. It is our aim to write an introductory book on Finsler geometry and its applications at a fairly advanced level. It is intended especially for graduate students in pure mathemat?? ics, science and applied mathematics, but should be also of interest to those pure "Finslerists" who would like to see their subject applied. After more than 70 years of relatively slow development Finsler geometry is now a modern subject with a large body of theorems and techniques and has math?? ematical content comparable to any field of modern differential geometry. The time has come to say this in full voice, against those who have thought Finsler geometry, because of its computational complexity, is only of marginal interest and with prac?? tically no interesting applications. Contrary to these outdated fossilized opinions, we believe "the world is Finslerian" in a true sense and we will try to show this in our application in thermodynamics, optics, ecology, evolution and developmental biology. On the other hand, while the complexity of the subject has not disappeared, the modern bundle theoretic approach has increased greatly its understandability
ISBN,Price9789401581943
Keyword(s)1. Aquatic ecology?? 2. BIOMATHEMATICS 3. COMPLEX SYSTEMS 4. DIFFERENTIAL GEOMETRY 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Freshwater & Marine Ecology 9. LASERS 10. Mathematical and Computational Biology 11. Optics, Lasers, Photonics, Optical Devices 12. PHOTONICS 13. STATISTICAL PHYSICS 14. Statistical Physics and Dynamical Systems
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35.     
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TitleDynamical Systems : An Introduction with Applications in Economics and Biology
Author(s)Tu, Pierre N.V
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1994.
DescriptionXVIII, 314 p : online resource
Abstract NoteThe favourable reception of the first edition and the encouragement received from many readers have prompted the author to bring out this new edition. This provides the opportunity for correcting a number of errors, typographical and others, contained in the first edition and making further improvements. This second edition has a new chapter on simplifying Dynamical Systems covering Poincare map, Floquet theory, Centre Manifold Theorems, normal forms of dynamical systems, elimination of passive coordinates and Liapunov-Schmidt reduction theory. It would provide a gradual transition to the study of Bifurcation, Chaos and Catastrophe in Chapter 10. Apart from this, most others - in fact all except the first three and last chapters - have been revised and enlarged to bring in some new materials, elaborate some others, especially those sections which many readers felt were rather too concise in the first edition, by providing more explana?? tion, examples and applications. Chapter 11 provides some good examples of this. Another example may be found in Chapter 4 where the review of Linear Algebra has been enlarged to incorporate further materials needed in this edition, for example the last section on idempotent matrices and projection would prove very useful to follow Liapunov-Schmidt reduction theory presented in Chapter 9
ISBN,Price9783642787935
Keyword(s)1. BIOMATHEMATICS 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. ECONOMIC THEORY 7. Economic Theory/Quantitative Economics/Mathematical Methods 8. Mathematical and Computational Biology 9. PROBABILITIES 10. Probability Theory and Stochastic Processes 11. STATISTICAL PHYSICS 12. Statistics for Life Sciences, Medicine, Health Sciences 13. Statistics?? 14. SYSTEM THEORY 15. Systems Theory, Control
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36.     
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TitleTransport and Structure : Their Competitive Roles in Biophysics and Chemistry
Author(s)M??ller, Stefan C;Parisi, J??rgen;Zimmermann, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1999.
DescriptionXIV, 400 p. 316 illus., 10 illus. in color : online resource
Abstract NoteLocal and global spatial coupling mechanisms form the basis of transport processes that are of fundamental importance for the occurrence and the dynamic evolution of patterns on a mesoscopic and macroscopic scale. The present volume deals with these concepts and investigates applications in the fields of biophysics and chemistry
ISBN,Price9783540480709
Keyword(s)1. BIOCHEMISTRY 2. Biochemistry, general 3. Biological and Medical Physics, Biophysics 4. BIOLOGICAL PHYSICS 5. BIOMATHEMATICS 6. BIOPHYSICS 7. COMPLEX SYSTEMS 8. CONDENSED MATTER 9. CONDENSED MATTER PHYSICS 10. DYNAMICAL SYSTEMS 11. EBOOK 12. EBOOK - SPRINGER 13. Mathematical and Computational Biology 14. STATISTICAL PHYSICS 15. Statistical Physics and Dynamical Systems
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37.     
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TitleTheory of Heart : Biomechanics, Biophysics, and Nonlinear Dynamics of Cardiac Function
Author(s)Glass, Leon;Hunter, Peter;McCulloch, Andrew
PublicationNew York, NY, Springer New York, 1991.
DescriptionXVII, 611 p : online resource
Abstract NoteIn recent years there has been a growth in interest in studying the heart from the perspective of the physical sciences: mechanics, fluid flow, electromechanics. This volume is the result of a workshop held in July 1989 at the Institute for Nonlinear Sciences at the University of California at San Diego that brought together scientists and clinicians with graduate students and postdoctoral fellows who shared an interest in the heart. The chapters were prepared by the invited speakers as didactic reviews of their subjects but also include the structure, mechanical properties, and function of the heart and the myocardium, electrical activity of the heart and myocardium, and mathematical models of heart function
ISBN,Price9781461231189
Keyword(s)1. ANTHROPOLOGY 2. Biological and Medical Physics, Biophysics 3. BIOLOGICAL PHYSICS 4. BIOMATHEMATICS 5. Biomedical engineering 6. Biomedical Engineering and Bioengineering 7. BIOPHYSICS 8. CARDIOLOGY 9. COMPLEX SYSTEMS 10. DYNAMICAL SYSTEMS 11. EBOOK 12. EBOOK - SPRINGER 13. Mathematical and Computational Biology 14. STATISTICAL PHYSICS
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38.     
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TitleFoundations of Synergetics II : Complex Patterns
Author(s)Mikhailov, Alexander S;Loskutov, Alexander Yu
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1991.
DescriptionVIII, 210 p : online resource
Abstract NoteThis textbook is based on a lecture course in synergetics given at the University of Moscow. In this second of two volumes, we discuss the emergence and properties of complex chaotic patterns in distributed active systems. Such patterns can be produced autonomously by a system, or can result from selective amplification of fluctuations caused by external weak noise. Although the material in this book is often described by refined mathematical theories, we have tried to avoid a formal mathematical style. Instead of rigorous proofs, the reader will usually be offered only "demonstrations" (the term used by Prof. V. I. Arnold) to encourage intuitive understanding of a problem and to explain why a particular statement seems plausible. We also refrained from detailing concrete applications in physics or in other scientific fields, so that the book can be used by students of different disciplines. While preparing the lecture course and producing this book, we had intensive discussions with and asked the advice of Prof. V. I. Arnold, Prof. S. Grossmann, Prof. H. Haken, Prof. Yu. L. Klimontovich, Prof. R. L. Stratonovich and Prof. Ya
ISBN,Price9783642972942
Keyword(s)1. BIOMATHEMATICS 2. BOTANY 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical and Computational Biology 6. MATHEMATICAL PHYSICS 7. MICROPROCESSORS 8. PATTERN RECOGNITION 9. PLANT SCIENCE 10. Plant Sciences 11. Processor Architectures 12. Statistics for Life Sciences, Medicine, Health Sciences 13. Statistics?? 14. Theoretical, Mathematical and Computational Physics
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39.     
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TitleInterdisciplinary Approaches to Nonlinear Complex Systems
Author(s)Haken, Hermann;Mikhailov, A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1993.
DescriptionVIII, 237 p. 72 illus : online resource
Abstract NoteNonlinear dynamics is now recognized as playing a crucial role in a wide variety of disciplines. But what is only just beginning is the important process of cross fertilization and transfer of knowledge and expertise from one area to another. This book is intended to promote this process which will undoubtedly contribute greatly to furthering our understanding of complex systems. Contributions are provided by leading experts from the areas of sociology, cognitive science, chemistry, physiology, ecology, economics, neural networks and physics
ISBN,Price9783642510304
Keyword(s)1. BIOMATHEMATICS 2. Chemistry, Physical and theoretical 3. COMPLEX SYSTEMS 4. COMPUTER SCIENCE 5. Computer Science, general 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. ECONOMICS 10. Economics, general 11. Management science 12. Mathematical and Computational Biology 13. STATISTICAL PHYSICS 14. Statistics for Life Sciences, Medicine, Health Sciences 15. Statistics?? 16. Theoretical and Computational Chemistry
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40.    
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TitleLagrange and Finsler Geometry : Applications to Physics and Biology
Author(s)Antonelli, P.L;Miron, R
PublicationDordrecht, Springer Netherlands, 1996.
DescriptionX, 280 p : online resource
ISBN,Price9789401586504
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. BIOMATHEMATICS 4. DIFFERENTIAL GEOMETRY 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Biology 9. MATHEMATICAL PHYSICS 10. Theoretical, Mathematical and Computational Physics
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