Mathematical Modelling Of Haemodialysis

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.

In general, several mathematical models can be designed in order to describe a biological or medical process and there is no unique criterion which model gives the best description. This book presents several of these models and shows applications of them to different biological and medical problems. The book shows that operations research expertise is necessary in respect to modeling, analysis and optimization of biosystems.

The book, to the best of the editor’s knowledge, is the first text of its kind that presents both the traditional and the modern aspects of ‘dialysis modeling and control’ in a clear, insightful and highly comprehensive writing style. It provides an in-depth analysis of the mathematical models and algorithms, and demonstrates their applications in real world problems of significant complexity. The material of this book can be useful to advanced undergraduate and graduate biomedical engineering students. This text provides an important focus on helping students understand how new concepts are related to and rely upon concepts previously presented. Also, researchers and practitioners in the field of dialysis, control systems, soft computing may benefit from it. The material is organized into 32 chapters. This book explains concepts in a clear, matter-of-fact style. In order to make the reader aware of the applied side of the subject, the book includes: Chapter openers with a chapter outline, chapter objectives, key terms list, and abstract. Solved numerical examples to illustrate the application of a particular concept, and also to encourage good problem-solving skills. More than 1000 questions to give the readers a better insight to the subject. Case studies to understand the significance of the joint usage of the dialysis modeling and control techniques in interesting problems of the real world. Summation and deepening of authors' works in recent years in the fields related. So the readers can get latest information, including latest research surveys and references related to the subjects through this book. It is hoped that through this book the reader will: Understand the fundamentals of dialysis systems and recognize when it is advantageous to use them. Gain an understanding of the wide range of dialysis modeling techniques Be able to use soft computing techniques in dialysis applications. Gain familiarity with online systems of dialysis and their applications. Recognize the relationship between conceptual understanding and problem-solving approaches. The editors would like to take this opportunity to thank all the authors for their contributions to this textbook. Without the hard work of our contributors, this book would have not been possible. The encouragement and patience of series Editor, Thomas Ditzinger is very much appreciated. Without his continuous help and assistance during the entire course of this project, the production of the book would have taken a great deal longer.

What regulation shall we have for the operation? Shall a man transfuse he knows not what. to correct he knows not what. God knows how (l)? Dr. Henry Stubbs Royal College of Physicians circa 1670 If dialysis therapy were a new phannaceutical product being evaluated by the FDA now, it might not be approved for marketing. The recommended dose, its potential toxicity, the side effects of under-or over-dialysis as well as its efficacy have been the subject of very few studies. The high mortality rate associated with the treatment may raise a few eyebrows. That it is a life-saving modality of treatment is undoubtedly true for more than 100,000 patients in the United States and for more than a million patients world wide. Because dialysis has extended the lives of many people by a variable period of time, most nephrologists have "rested on their laurels" and did not vigorously pursue studies to optimize these treatments. But facts have a way of intruding in all our lives and the facts are that the overall mortality rate of dialysis patients in the United States is rising and stands close to 25% per year and is closer to 33% per year for patients between the ages of 65 and 74 (2). These mortality figures are considerably higher for age-adjusted dialysis populations in Europe and particu larly in Japan, and certainly for the age-adjusted nonnal population.

The advent of the Middle Molecule Theory of Uremic Toxicity has introduced the need for hemodialyzers capable of efficiently removing metabolites with molecular weights between 300 and 2000. The rate at which these solutes can be removed from the body depends not only upon the efficiency of the dialyzer, but also upon the ability of the metabolites to diffuse from innerbody compartments into the patient's blood stream. In an effort to characterize innerbody transport during hemodialysis, a multicompartmental patient-artificial kidney model has been developed. In vivo clinical data in the form of solute-plasma concentration decline measurements following an impulse IV injection of Dextran-1500 (1500 molecular weight dextran fraction) and Vitamin B-12 have been obtained. These data were used to determine model parameters in the form of compartmental volumes and intercompartmental mass transfer coefficients. Analysis of the dextran data indicated that two intracellular pools, the interstitial pool, and the plasma pool were involved in DX-1500 solute kinetics. Further analysis of the data yielded a transcapillary mass transfer coefficient of 502 ml/min and two transcellular coefficients of 141 and 7 ml/min. The Vitamin B-12 data produced a similar compartmental arrangement. A transcapillary mass transfer coefficient of 470 ml/min and two transcellular coefficients of 30 ml/min and 5 ml/min were obtained. The DX-1500 parameters were used to simulate various modes of dialysis. The model predicted that innerbody mass transfer barriers begin to limit solute removal even for moderate dialyzer clearances. In contrast to this, the model predicted that innerbody mass transfer has little effect on the dialysis of urea.

Book initiates with introductory material to hemodialysis technology and its historical evolution and later on divulging into the field of biomaterials. With this background, the book discusses selection criteria of a suitable biomaterial for synthesis of haemodialysis membranes along with illustration of a complete indigenous, low cost technology for spinning of haemodialysis fibres. An appropriate post processing of the spun fibers is also described to complete the development of hemodialysis grade hollow fibers. Discussion pertaining to financial and business analysis of commercialization of hemodialysis fibers and cartridges along with mathematical modeling encountered in dialysis applications is also included. Well illustrated description of instruments used for membrane characterization and biomedical engineering is also provided at suitable junctures to effectively present the concept including worked out examples. Present title can be a good textbook as well as a research material for membrane as well as biomedical engineering curricula and provides coverage for appropriate undergraduate and graduate students interested in hemodialysis membranes.