Mathematical Modeling in Renal Physiology

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Publisher : Springer
ISBN 13 : 364227367X
Total Pages : 225 pages
Book Rating : 4.6/5 (422 download)

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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

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Publisher : Springer
ISBN 13 : 3030214109
Total Pages : 156 pages
Book Rating : 4.0/5 (32 download)

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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

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227067
Total Pages : 767 pages
Book Rating : 4.3/5 (872 download)

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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

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387954813
Total Pages : 438 pages
Book Rating : 4.9/5 (548 download)

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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

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Author :
Publisher : Springer
ISBN 13 : 9781468492521
Total Pages : 0 pages
Book Rating : 4.4/5 (925 download)

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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

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Publisher : Springer Science & Business Media
ISBN 13 : 038775847X
Total Pages : 547 pages
Book Rating : 4.3/5 (877 download)

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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

Applied Mathematical Models in Human Physiology

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Publisher : SIAM
ISBN 13 : 9780898718287
Total Pages : 311 pages
Book Rating : 4.7/5 (182 download)

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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

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Publisher : Springer
ISBN 13 : 9780387758466
Total Pages : 0 pages
Book Rating : 4.7/5 (584 download)

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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

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Publisher : Frontiers Media SA
ISBN 13 : 2889633233
Total Pages : 289 pages
Book Rating : 4.8/5 (896 download)

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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:

Biomedical Engineering of Pancreatic, Pulmonary, and Renal Systems, and Applications to Medicine

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Publisher : Elsevier
ISBN 13 : 0323958850
Total Pages : 756 pages
Book Rating : 4.3/5 (239 download)

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

Download or read book Biomedical Engineering of Pancreatic, Pulmonary, and Renal Systems, and Applications to Medicine written by Dhanjoo N. Ghista and published by Elsevier. This book was released on 2023-05-15 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Exploring Mathematical Modeling in Biology Through Case Studies and Experimental Activities

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Publisher : Academic Press
ISBN 13 : 0128195959
Total Pages : 260 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Exploring Mathematical Modeling in Biology Through Case Studies and Experimental Activities by : Rebecca Sanft

Download or read book Exploring Mathematical Modeling in Biology Through Case Studies and Experimental Activities written by Rebecca Sanft and published by Academic Press. This book was released on 2020-04-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Mathematical Modeling in Biology through Case Studies and Experimental Activities provides supporting materials for courses taken by students majoring in mathematics, computer science or in the life sciences. The book's cases and lab exercises focus on hypothesis testing and model development in the context of real data. The supporting mathematical, coding and biological background permit readers to explore a problem, understand assumptions, and the meaning of their results. The experiential components provide hands-on learning both in the lab and on the computer. As a beginning text in modeling, readers will learn to value the approach and apply competencies in other settings. Included case studies focus on building a model to solve a particular biological problem from concept and translation into a mathematical form, to validating the parameters, testing the quality of the model and finally interpreting the outcome in biological terms. The book also shows how particular mathematical approaches are adapted to a variety of problems at multiple biological scales. Finally, the labs bring the biological problems and the practical issues of collecting data to actually test the model and/or adapting the mathematics to the data that can be collected. Presents a single volume on mathematics and biological examples, with data and wet lab experiences suitable for non-experts Contains three real-world biological case studies and one wet lab for application of the mathematical models Includes R code templates throughout the text, which are also available through an online repository, along with the necessary data files to complete all projects and labs

Renal Physiology

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Publisher : Springer
ISBN 13 : 1461475457
Total Pages : 515 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Renal Physiology by : Carl W Gottschalk

Download or read book Renal Physiology written by Carl W Gottschalk and published by Springer. This book was released on 2013-05-27 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principles of Renal Physiology

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Publisher : Springer Science & Business Media
ISBN 13 : 9401164703
Total Pages : 204 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Principles of Renal Physiology by : Christopher J. Lote

Download or read book Principles of Renal Physiology written by Christopher J. Lote and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: / 7 It is eleven years since the first edition of this book was published and six years since the second edition. There have been many advances in renal physiology over these years, a fact demonstrated by a comparison of the index of this new edition with that of 11 years ago. For example, words in the index of this edition which do not appear in the first edition include atrial natriuretic peptide, dopamine, erythropoietin, nitric oxide and prorenin. For this new edition, there are many completely new sections, includ ing a new chapter on tubular transport mechanisms, a section on the bladder and micturition and sections on the renal handling of magne sium, renal function in pregnancy and age-related changes in function. The accounts of renin synthesis, the actions of atrial natriuretic peptide and the mechanisms of ammonia secretion, have been rewritten and updated. The presentation of the book for this third edition is also new. The majority of the figures have been redrawn and 'boxes' have been included to present additional material (particularly information of clinical relevance), which can be read separately from the main text. The most popular features of the book - notably its cOllciseness and logical progression through renal physiology - have been retained.

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

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Author :
Publisher : Editora E-papers
ISBN 13 : 8576500272
Total Pages : 397 pages
Book Rating : 4.5/5 (765 download)

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

Download or read book Proc. of the Fourth Brazilian Symp. on Mathematical and Computational Biology vol.2: First International Symposium on Mathematical and Computational Biology written by and published by Editora E-papers. This book was released on with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Physiology

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387793887
Total Pages : 549 pages
Book Rating : 4.3/5 (877 download)

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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 549 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.

The Princeton Companion to Applied Mathematics

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Publisher : Princeton University Press
ISBN 13 : 1400874475
Total Pages : 1016 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Princeton Companion to Applied Mathematics by : Nicholas J. Higham

Download or read book The Princeton Companion to Applied Mathematics written by Nicholas J. Higham and published by Princeton University Press. This book was released on 2015-09-15 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Seldin and Giebisch's The Kidney

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Publisher : Academic Press
ISBN 13 : 0123814634
Total Pages : 3299 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Seldin and Giebisch's The Kidney by : Robert J. Alpern

Download or read book Seldin and Giebisch's The Kidney written by Robert J. Alpern and published by Academic Press. This book was released on 2012-12-31 with total page 3299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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