Transport Equations in Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3764378425
Total Pages : 198 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Transport Equations in Biology by : Benoît Perthame

Download or read book Transport Equations in Biology written by Benoît Perthame and published by Springer Science & Business Media. This book was released on 2006-12-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.

Transport Phenomena in Medicine and Biology

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 562 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Transport Phenomena in Medicine and Biology by : Marshall Min-Shing Lih

Download or read book Transport Phenomena in Medicine and Biology written by Marshall Min-Shing Lih and published by John Wiley & Sons. This book was released on 1975 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parabolic Equations in Biology

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Publisher : Springer
ISBN 13 : 331919500X
Total Pages : 199 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Parabolic Equations in Biology by : Benoît Perthame

Download or read book Parabolic Equations in Biology written by Benoît Perthame and published by Springer. This book was released on 2015-09-09 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.

Mechanics and Energetics of Biological Transport

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Publisher : Springer Science & Business Media
ISBN 13 : 3642812597
Total Pages : 173 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Mechanics and Energetics of Biological Transport by : E. Heinz

Download or read book Mechanics and Energetics of Biological Transport written by E. Heinz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with energetics of transport processes, largely expressed in terms of the thermodynamics of irreversible pro cesses. Since at the present time too little is known about the molecular mechanism of transport, the present treatment is based largely on hypothetical models. Care has been taken, however, to define the crucial features of these models as generally as pos sible, so that the equations do not depend too much on hypotheti cal details. Accordingly, most equations, though developed on the basis of a mobile carrier (ferryboat) model, should apply equally to a conformational model, with an appropriate reinterpretation of the symbols. To better elucidate the essentials, the models are greatly simplified by special assumptions. Maximally, only two flows are assumed to be present in each model at one time: e. g. , two solute flows, the flow of solvent and of one solute, the flow of solvent and of heat. The simplifying assumptions may often be unreal. Hence the equations should not be applied un critically to actual mechanisms. They may at best serve as a ba sis on which the more appropriate equations may be developed. The book is not designed to give a complete kinetic analysis of the transport processes described. The kinetic equations are kept to the minimum required to describe the model concerned and to relate it to the corresponding thermodynamic equations. The in tention is to stress the close relationship between bioosmotic (transport) and biochemical processes in metabolism.

Principles and Models of Biological Transport

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Publisher : Springer Science & Business Media
ISBN 13 : 3662024675
Total Pages : 274 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Principles and Models of Biological Transport by : Morton H. Friedman

Download or read book Principles and Models of Biological Transport written by Morton H. Friedman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for a first course in biological mass transport, and the material in it is presented at a level that is appropriate to advanced undergraduates or early graduate level students. Its orientation is somewhat more physical and mathematical than a biology or standard physiology text, reflecting its origins in a transport course that I teach to undergraduate (and occasional graduate) biomedical engineering students in the Whiting School of Engineering at Johns Hopkins. The audience for my cours- and presumably for this text - also includes chemical engineering undergraduates concentrating in biotechnology, and graduate students in biophysics. The organization of this book differs from most texts that at tempt to present an engineering approach to biological transport. What distinguishes biological transport from other mass transfer processes is the fact that biological transport is biological. Thus, we do not start with the engineering principles of mass transport (which are well presented elsewhere) and then seek biological ap plications of these principles; rather, we begin with the biological processes themselves, and then develop the tools that are needed to describe them. As a result, more physiology is presented in this text than is often found in books dealing with engineering applica tions in the life sciences.

Transport in Biological Media

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Author :
Publisher : Newnes
ISBN 13 : 0123978491
Total Pages : 570 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Transport in Biological Media by : Sid Becker

Download or read book Transport in Biological Media written by Sid Becker and published by Newnes. This book was released on 2013-05-21 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport in Biological Media is a solid resource of mathematical models for researchers across a broad range of scientific and engineering problems such as the effects of drug delivery, chemotherapy, or insulin intake to interpret transport experiments in areas of cutting edge biological research. A wide range of emerging theoretical and experimental mathematical methodologies are offered by biological topic to appeal to individual researchers to assist them in solving problems in their specific area of research. Researchers in biology, biophysics, biomathematics, chemistry, engineers and clinical fields specific to transport modeling will find this resource indispensible. Provides detailed mathematical model development to interpret experiments and provides current modeling practices Provides a wide range of biological and clinical applications Includes physiological descriptions of models

Differential Equations with Applications to Biology

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Publisher : American Mathematical Soc.
ISBN 13 : 082180944X
Total Pages : 521 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Equations with Applications to Biology by : Shigui Ruan

Download or read book Differential Equations with Applications to Biology written by Shigui Ruan and published by American Mathematical Soc.. This book was released on 1999 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings from the International Conference held in Halifax, NS in July 1997. Funded by The Fields Institute and Le Centre de Recherches Mathématiques, the conference was held in honor of the retirement of Professors Lynn Erbe and Herb I. Freedman (University of Alberta). Featured topics include ordinary, partial, functional, and stochastic differential equations and their applications to biology, epidemiology, neurobiology, physiology and other related areas. The 41 papers included in this volume represent the recent work of leading researchers over a wide range of subjects, including bifurcation theory, chaos, stability theory, boundary value problems, persistence theory, neural networks, disease transmission, population dynamics, pattern formation and more. The text would be suitable for a graduate or advanced undergraduate course study in mathematical biology. Features: An overview of current developments in differential equations and mathematical biology. Authoritative contributions from over 60 leading worldwide researchers. Original, refereed contributions.

Biology in Time and Space

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Publisher :
ISBN 13 : 9781470464141
Total Pages : pages
Book Rating : 4.4/5 (641 download)

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Book Synopsis Biology in Time and Space by : James P. Keener

Download or read book Biology in Time and Space written by James P. Keener and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transport Phenomena in Biological Systems

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Publisher : Prentice Hall
ISBN 13 : 0131569880
Total Pages : 889 pages
Book Rating : 4.1/5 (315 download)

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Book Synopsis Transport Phenomena in Biological Systems by : George A. Truskey

Download or read book Transport Phenomena in Biological Systems written by George A. Truskey and published by Prentice Hall. This book was released on 2009 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: For one-semester, advanced undergraduate/graduate courses in Biotransport Engineering. Presenting engineering fundamentals and biological applications in a unified way, this text provides students with the skills necessary to develop and critically analyze models of biological transport and reaction processes. It covers topics in fluid mechanics, mass transport, and biochemical interactions, with engineering concepts motivated by specific biological problems.

Biological Delay Systems

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Publisher : Cambridge University Press
ISBN 13 : 9780521048163
Total Pages : 256 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Biological Delay Systems by : Norman MacDonald

Download or read book Biological Delay Systems written by Norman MacDonald and published by Cambridge University Press. This book was released on 2008-01-03 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for delays such as those due to gestation, maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.

Transport Phenomena and Living Systems

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 514 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transport Phenomena and Living Systems by : Edwin N. Lightfoot

Download or read book Transport Phenomena and Living Systems written by Edwin N. Lightfoot and published by Wiley-Interscience. This book was released on 1973 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics of Mechanobiology

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Publisher : Springer Nature
ISBN 13 : 3030451976
Total Pages : 217 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis The Mathematics of Mechanobiology by : Antonio DeSimone

Download or read book The Mathematics of Mechanobiology written by Antonio DeSimone and published by Springer Nature. This book was released on 2020-06-29 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in mathematical research on modelling the mechanics of biological systems – a science at the intersection between biology, mechanics and mathematics known as mechanobiology. The book gathers comprehensive surveys of the most significant areas of mechanobiology: cell motility and locomotion by shape control (Antonio DeSimone); models of cell motion and tissue growth (Benoît Perthame); numerical simulation of cardiac electromechanics (Alfio Quarteroni); and power-stroke-driven muscle contraction (Lev Truskinovsky). Each section is self-contained in terms of the biomechanical background, and the content is accessible to all readers with a basic understanding of differential equations and numerical analysis. The book disentangles the phenomenological complexity of the biomechanical problems, while at the same time addressing the mathematical complexity with invaluable clarity. The book is intended for a wide audience, in particular graduate students and applied mathematicians interested in entering this fascinating field.

Principles and Models of Biological Transport

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Publisher : Springer Science & Business Media
ISBN 13 : 0387792406
Total Pages : 520 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Principles and Models of Biological Transport by : Morton H. Friedman

Download or read book Principles and Models of Biological Transport written by Morton H. Friedman and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focus, Organization, and Content This book, like the first edition, deals with the mass transport processes that take place in living systems, with a focus on the normal behavior of eukaryotic cells and the - ganisms they constitute, in their normal physiological environment. As a consequence of this focus, the structure and content of the book differ from those of traditional transport texts. We do not start with the engineering principles of mass transport (which are well presented elsewhere) and then seek biological applications of these principles; rather, we begin with the biological processes themselves, and then - velop the models and analytical tools that are needed to describe them. This approach has several consequences. First of all, it drives the content of the text in a direction distinctively different from conventional transport texts. This is - cause the tools and models needed to describe complex biological processes are often different from those employed to describe more well-characterized inanimate systems. Many biological processes must still be described phenomenologically, using me- odologies like nonequilibrium thermodynamics. Simple electrical analogs employing a paucity of parameters can be more useful for characterization and prediction than complex theories based on the behavior of more well-defined systems on a laboratory bench. By allowing the biology to drive the choice of analysis tools and models, the latter are consistently presented in the context of real biological systems, and analysis and biology are interwoven throughout.

Modeling of Microscale Transport in Biological Processes

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Publisher : Academic Press
ISBN 13 : 9780128045954
Total Pages : 0 pages
Book Rating : 4.0/5 (459 download)

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Book Synopsis Modeling of Microscale Transport in Biological Processes by : Sid M. Becker

Download or read book Modeling of Microscale Transport in Biological Processes written by Sid M. Becker and published by Academic Press. This book was released on 2017-01-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling of Microscale Transport in Biological Processes provides a compendium of recent advances in theoretical and computational modeling of biotransport phenomena at the microscale. The simulation strategies presented range from molecular to continuum models and consider both numerical and exact solution method approaches to coupled systems of equations. The biological processes covered in this book include digestion, molecular transport, microbial swimming, cilia mediated flow, microscale heat transfer, micro-vascular flow, vesicle dynamics, transport through bio-films and bio-membranes, and microscale growth dynamics. The book is written for an advanced academic research audience in the fields of engineering (encompassing biomedical, chemical, biological, mechanical, and electrical), biology and mathematics. Although written for, and by, expert researchers, each chapter provides a strong introductory section to ensure accessibility to readers at all levels.

Stochastic Processes in Cell Biology

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Publisher : Springer Nature
ISBN 13 : 3030725154
Total Pages : 773 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Stochastic Processes in Cell Biology by : Paul C. Bressloff

Download or read book Stochastic Processes in Cell Biology written by Paul C. Bressloff and published by Springer Nature. This book was released on 2022-01-04 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. Given the amount of additional material, the book has been divided into two volumes, with volume I mainly covering molecular processes and volume II focusing on cellular processes. A wide range of biological topics are covered in the new edition, including stochastic ion channels and excitable systems, molecular motors, stochastic gene networks, genetic switches and oscillators, epigenetics, normal and anomalous diffusion in complex cellular environments, stochastically-gated diffusion, active intracellular transport, signal transduction, cell sensing, bacterial chemotaxis, intracellular pattern formation, cell polarization, cell mechanics, biological polymers and membranes, nuclear structure and dynamics, biological condensates, molecular aggregation and nucleation, cellular length control, cell mitosis, cell motility, cell adhesion, cytoneme-based morphogenesis, bacterial growth, and quorum sensing. The book also provides a pedagogical introduction to the theory of stochastic and nonequilibrium processes – Fokker Planck equations, stochastic differential equations, stochastic calculus, master equations and jump Markov processes, birth-death processes, Poisson processes, first passage time problems, stochastic hybrid systems, queuing and renewal theory, narrow capture and escape, extreme statistics, search processes and stochastic resetting, exclusion processes, WKB methods, large deviation theory, path integrals, martingales and branching processes, numerical methods, linear response theory, phase separation, fluctuation-dissipation theorems, age-structured models, and statistical field theory. This text is primarily aimed at graduate students and researchers working in mathematical biology, statistical and biological physicists, and applied mathematicians interested in stochastic modeling. Applied probabilists should also find it of interest. It provides significant background material in applied mathematics and statistical physics, and introduces concepts in stochastic and nonequilibrium processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

Mathematical Models and Methods for Living Systems

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Publisher : Springer
ISBN 13 : 3319426796
Total Pages : 321 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Mathematical Models and Methods for Living Systems by : Luigi Preziosi

Download or read book Mathematical Models and Methods for Living Systems written by Luigi Preziosi and published by Springer. This book was released on 2016-11-09 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods.Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases.

Modeling and Differential Equations in Biology

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Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Modeling and Differential Equations in Biology by : Theodore Allen Burton

Download or read book Modeling and Differential Equations in Biology written by Theodore Allen Burton and published by . This book was released on 1980 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: