Mathematical Modeling In Renal Physiology

Author : Anita T. Layton,Aurelie Edwards
Publisher : Springer
Page : 225 pages
File Size : 49,6 Mb
Release : 2014-08-06
Category : Mathematics
ISBN : 9783642273674

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Mathematical Modeling in Renal Physiology by Anita T. Layton,Aurelie Edwards Pdf

With the availability of high speed computers and advances in computational techniques, the application of mathematical modeling to biological systems is expanding. This comprehensive and richly illustrated volume provides up-to-date, wide-ranging material on the mathematical modeling of kidney physiology, including clinical data analysis and practice exercises. Basic concepts and modeling techniques introduced in this volume can be applied to other areas (or organs) of physiology. The models presented describe the main homeostatic functions performed by the kidney, including blood filtration, excretion of water and salt, maintenance of electrolyte balance and regulation of blood pressure. Each chapter includes an introduction to the basic relevant physiology, a derivation of the essential conservation equations and then a discussion of a series of mathematical models, with increasing level of complexity. This volume will be of interest to biological and mathematical scientists, as well as physiologists and nephrologists, who would like an introduction to mathematical techniques that can be applied to renal transport and function. The material is written for students who have had college-level calculus, but can be used in modeling courses in applied mathematics at all levels through early graduate courses.

Author : Leszek Pstras,Jacek Waniewski
Publisher : Springer
Page : 156 pages
File Size : 55,6 Mb
Release : 2019-07-03
Category : Medical
ISBN : 9783030214104

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Mathematical Modelling of Haemodialysis by Leszek Pstras,Jacek Waniewski Pdf

Beginning with an introduction to kidney function, renal replacement therapies, and an overview of clinical problems associated with haemodialysis, this book explores the principles of the short-term baroreflex regulation of the cardiovascular system and the mechanisms of water and solute transport across the human body from a mathematical model perspective. It synthesizes theoretical physiological concepts and practical aspects of mathematical modelling needed for simulation and quantitative analysis of the haemodynamic response to dialysis therapy. Including an up-to-date review of the literature concerning the modelled physiological mechanisms and processes, the book serves both as an overview of transport and regulatory mechanisms related to the cardiovascular system and body fluids and as a useful reference for the study and development of mathematical models of dynamic physiological processes. Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics is intended for researchers and graduate students in biomedical engineering, physiology, or medicine interested in mathematical modelling of cardiovascular dynamics and fluid and solute transport across the human body, both under physiological conditions and during haemodialysis therapy.

Author : James Keener,James Sneyd
Publisher : Springer Science & Business Media
Page : 767 pages
File Size : 40,6 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387227061

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Mathematical Physiology by James Keener,James Sneyd Pdf

Divided into two parts, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing.

Author : Harold E. Layton,Alan M. Weinstein
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 49,8 Mb
Release : 2002-08-06
Category : Mathematics
ISBN : 0387954813

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Membrane Transport and Renal Physiology by Harold E. Layton,Alan M. Weinstein Pdf

The papers in this volume arose out of the workshop Membrane Transport and Renal Physiology, which was conducted as part of the IMA 1998-1999 program year, Mathematics in Biology. The workshop brought together physiologists, biophysicists, and applied mathematicians who share a common interest in solute and water transport in biological systems, especially in the integrated function of the kidney. Solute and water transport through cells involves fluxes across two cell membranes, usually via specialized proteins that are integral membrane components. By means of mathematical representations, transport fluxes can be related to transmembrane solute concentrations and electrochemical driving forces. At the next level of functional integration, these representations can serve as key components for models of renal transcellular transport. Ultimately, simulations can be developed for transport-dependent aspects of overall renal function. Workshop topics included solute fluxes through ion channels, cotransporters, and metabolically-driven ion pumps; transport across fiber-matrix and capillary membranes; coordinated transport by renal epithelia; the urine concetrating mechanism; and intra-renal hemodynamic control. This volume will be of interest to biological and mathematical scientists who would like a view of recent mathematical efforts to represent membrane transport and its role in renal function.

Author : Harold E. Layton,Alan M. Weinstein
Publisher : Springer
Page : 0 pages
File Size : 55,6 Mb
Release : 2011-03-20
Category : Mathematics
ISBN : 1468492527

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Membrane Transport and Renal Physiology by Harold E. Layton,Alan M. Weinstein Pdf

The papers in this volume arose out of the workshop Membrane Transport and Renal Physiology, which was conducted as part of the IMA 1998-1999 program year, Mathematics in Biology. The workshop brought together physiologists, biophysicists, and applied mathematicians who share a common interest in solute and water transport in biological systems, especially in the integrated function of the kidney. Solute and water transport through cells involves fluxes across two cell membranes, usually via specialized proteins that are integral membrane components. By means of mathematical representations, transport fluxes can be related to transmembrane solute concentrations and electrochemical driving forces. At the next level of functional integration, these representations can serve as key components for models of renal transcellular transport. Ultimately, simulations can be developed for transport-dependent aspects of overall renal function. Workshop topics included solute fluxes through ion channels, cotransporters, and metabolically-driven ion pumps; transport across fiber-matrix and capillary membranes; coordinated transport by renal epithelia; the urine concetrating mechanism; and intra-renal hemodynamic control. This volume will be of interest to biological and mathematical scientists who would like a view of recent mathematical efforts to represent membrane transport and its role in renal function.

Author : James Keener,James Sneyd
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 55,5 Mb
Release : 2010-06-04
Category : Mathematics
ISBN : 9780387758473

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Mathematical Physiology by James Keener,James Sneyd Pdf

Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. Reviews from first edition: Keener and Sneyd's Mathematical Physiology is the first comprehensive text of its kind that deals exclusively with the interplay between mathematics and physiology. Writing a book like this is an audacious act! -Society of Mathematical Biology Keener and Sneyd's is unique in that it attempts to present one of the most important subfields of biology and medicine, physiology, in terms of mathematical "language", rather than organizing materials around mathematical methodology. -SIAM review

Author : Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen
Publisher : SIAM
Page : 311 pages
File Size : 46,6 Mb
Release : 2004-01-01
Category : Medical
ISBN : 0898718287

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Applied Mathematical Models in Human Physiology by Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen Pdf

This book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors focus on models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation.

Author : James Keener,James Sneyd
Publisher : Springer
Page : 0 pages
File Size : 40,6 Mb
Release : 2008-10-27
Category : Mathematics
ISBN : 0387758461

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Mathematical Physiology by James Keener,James Sneyd Pdf

Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. Reviews from first edition: Keener and Sneyd's Mathematical Physiology is the first comprehensive text of its kind that deals exclusively with the interplay between mathematics and physiology. Writing a book like this is an audacious act! -Society of Mathematical Biology Keener and Sneyd's is unique in that it attempts to present one of the most important subfields of biology and medicine, physiology, in terms of mathematical "language", rather than organizing materials around mathematical methodology. -SIAM review

Author : Julius Guccione,Ghassan S. Kassab
Publisher : Frontiers Media SA
Page : 289 pages
File Size : 50,5 Mb
Release : 2020-01-13
Category : Electronic
ISBN : 9782889633234

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Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic by Julius Guccione,Ghassan S. Kassab Pdf

Author : Dhanjoo N. Ghista
Publisher : Elsevier
Page : 756 pages
File Size : 43,8 Mb
Release : 2023-05-15
Category : Science
ISBN : 9780323958851

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Biomedical Engineering of Pancreatic, Pulmonary, and Renal Systems, and Applications to Medicine by Dhanjoo N. Ghista Pdf

Biomedical Engineering Modeling of Pancreatic, Respiratory, and Renal Regulatory Systems, and their Medical Assessments addresses the need for biomedical engineering to provide physiological analysis of organ systems and their medical applications to help enable quantitative formulation of physiological systems and defining their functions and dysfunctions, leading to precision diagnostics of diabetes, lung diseases, and kidney failure, often in the form of non-dimensional indices. The book chapters also deal with treatment systems, namely automated insulin infusion systems, hemodialysis, and peritoneal dialysis. The book is formulated to solve many physiological, bioengineering, and medical problems. Covers foundational concepts of the emerging fields of quantitative physiology and computational medicine, developing the biomedical engineering modeling of three important organ systems: pancreas, lungs, and kidneys Provides readers with detailed understanding of novel biomedical engineering strategies in key areas, such as pancreatic system engineering, glucose-insulin regulatory system engineering, pulmonary system engineering, and renal system engineering Provides in-depth technical coverage of computational modeling techniques and applied mathematics for these important physiological systems, including differential equations and the associated MATLAB datasets for all applied diagnostic and treatment examples

Author : Anonim
Publisher : Editora E-papers
Page : 397 pages
File Size : 54,7 Mb
Release : 2024-05-08
Category : Electronic
ISBN : 9788576500278

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Proc. of the Fourth Brazilian Symp. on Mathematical and Computational Biology vol.2: First International Symposium on Mathematical and Computational Biology by Anonim Pdf

Author : Robert J. Alpern,Michael J. Caplan,Orson W. Moe
Publisher : Academic Press
Page : 3290 pages
File Size : 47,6 Mb
Release : 2012-12-31
Category : Science
ISBN : 9780123814630

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Seldin and Giebisch's The Kidney by Robert J. Alpern,Michael J. Caplan,Orson W. Moe Pdf

A classic nephrology reference for over 25years, Seldin and Giebisch’s The Kidney, is the acknowledged authority on renal physiology and pathophysiology. In this 5th edition, such new and powerful disciplines as genetics and cell biology have been deployed to deepen and widen further the explanatory framework. Not only have previous chapters been extensively updated, but new chapters have been added to incorporate additional disciplines. Individual chapters, for example, now provide detailed treatment of the significance of cilia; the role of stem cells is now given special consideration. Finally, there has been a significant expansion of the section of pathophysiology, incorporating the newer findings of cell biology and genetics. If you research the development of normal renal function or the mechanisms underlying renal disease, Seldin and Giebisch’s The Kidney is your number one source for information. Offers the most comprehensive coverage on the market of fluid and electrolyte regulation and dysregulation in 85 completely revised chapters and 10 new chapters Includes 4sections, 62 chapters, devoted to regulation and disorders of acid-base homeostasis, and epithelial and nonepithelial transport regulation Includes foreword by Donald Seldin and Gerhard Giebisch, world renowned names in nephrology and editors of the previous three editions

Author : Nicholas J. Higham
Publisher : Princeton University Press
Page : 1016 pages
File Size : 45,7 Mb
Release : 2015-09-15
Category : Mathematics
ISBN : 9781400874477

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The Princeton Companion to Applied Mathematics by Nicholas J. Higham Pdf

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Author : Anonim
Publisher : ScholarlyEditions
Page : 179 pages
File Size : 52,7 Mb
Release : 2013-01-10
Category : Medical
ISBN : 9781481647090

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Issues in Kidney Disease Research and Treatment: 2012 Edition by Anonim Pdf

Issues in Kidney Disease Research and Treatment: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Kidney Disease. The editors have built Issues in Kidney Disease Research and Treatment: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Kidney Disease in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Kidney Disease Research and Treatment: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Author : Carl W Gottschalk,Robert W Berliner,Gerhard H Giebisch
Publisher : Springer
Page : 515 pages
File Size : 53,8 Mb
Release : 2013-05-27
Category : Medical
ISBN : 9781461475453

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Renal Physiology by Carl W Gottschalk,Robert W Berliner,Gerhard H Giebisch Pdf

Each chapter in this authoritative volume is written by a well-known physiologist who has contributed to our current understanding of renal function. Together the authors offer a unique, inside perspective on the historical record of the discipline, from its roots in the ancient world to the most recent findings of modern times. Among the many topics discussed are renal blood flow and the dynamics of glomerular filtration; the clearance concept in renal physiology; micropuncture and microperfusion; transport of electrolytes across renal tubules; and diuretics and renal drug development.