Mathematical Modeling in Renal Physiology

Mathematical Modeling in Renal Physiology

Author: Anita T. Layton

Publisher: Springer

Published: 2014-08-06

Total Pages: 225

ISBN-13: 364227367X

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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.


Book Synopsis Mathematical Modeling in Renal Physiology by : Anita T. Layton

Download or read book Mathematical Modeling in Renal Physiology written by Anita T. Layton and published by Springer. This book was released on 2014-08-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modelling of Haemodialysis

Mathematical Modelling of Haemodialysis

Author: Leszek Pstras

Publisher: Springer

Published: 2019-07-03

Total Pages: 156

ISBN-13: 3030214109

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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.


Book Synopsis Mathematical Modelling of Haemodialysis by : Leszek Pstras

Download or read book Mathematical Modelling of Haemodialysis written by Leszek Pstras and published by Springer. This book was released on 2019-07-03 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Physiology

Mathematical Physiology

Author: James Keener

Publisher: Springer Science & Business Media

Published: 2006-04-18

Total Pages: 767

ISBN-13: 0387227067

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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.


Book Synopsis Mathematical Physiology by : James Keener

Download or read book Mathematical Physiology written by James Keener and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Membrane Transport and Renal Physiology

Membrane Transport and Renal Physiology

Author: Harold E. Layton

Publisher: Springer Science & Business Media

Published: 2002-08-06

Total Pages: 438

ISBN-13: 9780387954813

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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.


Book Synopsis Membrane Transport and Renal Physiology by : Harold E. Layton

Download or read book Membrane Transport and Renal Physiology written by Harold E. Layton and published by Springer Science & Business Media. This book was released on 2002-08-06 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Membrane Transport and Renal Physiology

Membrane Transport and Renal Physiology

Author: Harold E. Layton

Publisher: Springer

Published: 2011-03-20

Total Pages: 0

ISBN-13: 9781468492521

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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.


Book Synopsis Membrane Transport and Renal Physiology by : Harold E. Layton

Download or read book Membrane Transport and Renal Physiology written by Harold E. Layton and published by Springer. This book was released on 2011-03-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Physiology

Mathematical Physiology

Author: James Keener

Publisher: Springer Science & Business Media

Published: 2010-06-04

Total Pages: 547

ISBN-13: 038775847X

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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


Book Synopsis Mathematical Physiology by : James Keener

Download or read book Mathematical Physiology written by James Keener and published by Springer Science & Business Media. This book was released on 2010-06-04 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematical Physiology

Mathematical Physiology

Author: James Keener

Publisher: Springer Science & Business Media

Published: 2009-01-06

Total Pages: 601

ISBN-13: 0387793887

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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.


Book Synopsis Mathematical Physiology by : James Keener

Download or read book Mathematical Physiology written by James Keener and published by Springer Science & Business Media. This book was released on 2009-01-06 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Mathematical Models in Human Physiology

Applied Mathematical Models in Human Physiology

Author: Johnny T. Ottesen

Publisher: SIAM

Published: 2004-01-01

Total Pages: 311

ISBN-13: 9780898718287

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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.


Book Synopsis Applied Mathematical Models in Human Physiology by : Johnny T. Ottesen

Download or read book Applied Mathematical Models in Human Physiology written by Johnny T. Ottesen and published by SIAM. This book was released on 2004-01-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Physiology

Mathematical Physiology

Author: James Keener

Publisher: Springer

Published: 2008-10-27

Total Pages: 0

ISBN-13: 9780387758466

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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


Book Synopsis Mathematical Physiology by : James Keener

Download or read book Mathematical Physiology written by James Keener and published by Springer. This book was released on 2008-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic

Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic

Author: Julius Guccione

Publisher: Frontiers Media SA

Published: 2020-01-13

Total Pages: 289

ISBN-13: 2889633233

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Book Synopsis Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic by : Julius Guccione

Download or read book Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic written by Julius Guccione and published by Frontiers Media SA. This book was released on 2020-01-13 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: