Mathematical Modelling of the Human Cardiovascular System

Mathematical Modelling of the Human Cardiovascular System
Author: Alfio Quarteroni
Publisher: Cambridge University Press
Total Pages: 291
Release: 2019-05-09
Genre: Mathematics
ISBN: 110848039X

Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.

Modeling the Heart and the Circulatory System

Modeling the Heart and the Circulatory System
Author: Alfio Quarteroni
Publisher: Springer
Total Pages: 248
Release: 2015-04-24
Genre: Mathematics
ISBN: 3319052306

The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. The contributions cover a wide range of topics, from the preprocessing of clinical data to the development of mathematical equations, their numerical solution, and both in-vivo and in-vitro validation. They discuss the flow in the systemic arterial tree and the complex electro-fluid-mechanical coupling in the human heart. Many examples of patient-specific simulations are presented. This book is addressed to all scientists interested in the mathematical modeling and numerical simulation of the human cardiocirculatory system.

Cardiovascular Mathematics

Cardiovascular Mathematics
Author: Luca Formaggia
Publisher: Springer Science & Business Media
Total Pages: 528
Release: 2010-06-27
Genre: Mathematics
ISBN: 8847011523

Mathematical models and numerical simulations can aid the understanding of physiological and pathological processes. This book offers a mathematically sound and up-to-date foundation to the training of researchers and serves as a useful reference for the development of mathematical models and numerical simulation codes.

Applied Mathematical Models in Human Physiology

Applied Mathematical Models in Human Physiology
Author: Johnny T. Ottesen
Publisher: SIAM
Total Pages: 311
Release: 2004-01-01
Genre: Medical
ISBN: 9780898718287

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 Modelling of Haemodialysis

Mathematical Modelling of Haemodialysis
Author: Leszek Pstras
Publisher: Springer
Total Pages: 166
Release: 2019-07-03
Genre: Medical
ISBN: 3030214109

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 Modeling and Validation in Physiology

Mathematical Modeling and Validation in Physiology
Author: Jerry J. Batzel
Publisher: Springer
Total Pages: 270
Release: 2012-12-14
Genre: Mathematics
ISBN: 3642328822

This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascular-respiratory system specifically and physiological systems generally. Theoretical points include model design, model complexity and validation in the light of available data, as well as control theory approaches to feedback delay and Kalman filter applications to parameter identification. State of the art approaches using parameter sensitivity are discussed for enhancing model identifiability through joint analysis of model structure and data. Practical examples illustrate model development at various levels of complexity based on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem of patient-specific model adaptation in the clinical setting, where data is typically limited.

Cardiovascular and Respiratory Systems

Cardiovascular and Respiratory Systems
Author: Jerry J. Batzel
Publisher: SIAM
Total Pages: 289
Release: 2007-09-20
Genre: Mathematics
ISBN: 0898717450

Cardiovascular and Respiratory Systems: Modeling, Analysis, and Control uses a principle-based modeling approach and analysis of feedback control regulation to elucidate the physiological relationships. Models are arranged around specific questions or conditions, such as exercise or sleep transition, and are generally based on physiological mechanisms rather than on formal descriptions of input-output behavior. The authors ask open questions relevant to medical and clinical applications and clarify underlying themes of physiological control organization. Current problems, key issues, developing trends, and unresolved questions are highlighted. Researchers and graduate students in mathematical biology and biomedical engineering will find this book useful. It will also appeal to researchers in the physiological and life sciences who are interested in mathematical modeling.

Mathematical and Numerical Modeling of the Cardiovascular System and Applications

Mathematical and Numerical Modeling of the Cardiovascular System and Applications
Author: Daniele Boffi
Publisher: Springer
Total Pages: 252
Release: 2018-11-03
Genre: Mathematics
ISBN: 3319966499

The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. It covers a wide range of topics, from the assimilation of clinical data to the development of mathematical and computational models, including with parameters, as well as their efficient numerical solution, and both in-vivo and in-vitro validation. It also considers applications of relevant clinical interest. This book is intended for graduate students and researchers in the field of bioengineering, applied mathematics, computer, computational and data science, and medicine wishing to become involved in the highly fascinating task of modeling the cardiovascular system.

Biomechanical Modeling of the Cardiovascular System

Biomechanical Modeling of the Cardiovascular System
Author: Ricardo Armentano
Publisher:
Total Pages: 0
Release: 2019
Genre: TECHNOLOGY & ENGINEERING
ISBN: 9780750312813

"Modeling has provided not only answers to questions related to normal or pathological function but also predicted multiple adaptations of the total and individual dynamic structures that are included in cardiovascular research. The original idea of this book was to produce a textbook to be used for the course 'Modeling in Biomechanics and Mechanobiology', which is oriented to Artificial Organs and Tissue Engineering at Buenos Aires University, Argentina. This book brings together the challenges and experiences of academic scientists, leading engineers, industry researchers and students to enable them to analyse results of all aspects of biomechanics and biomedical engineering. It also provides a springboard to discuss the practical challenges and to propose solutions on this complex subject." -- Prové de l'editor.

Computational Hemodynamics – Theory, Modelling and Applications

Computational Hemodynamics – Theory, Modelling and Applications
Author: Jiyuan Tu
Publisher: Springer
Total Pages: 360
Release: 2015-02-24
Genre: Technology & Engineering
ISBN: 9401795940

This book discusses geometric and mathematical models that can be used to study fluid and structural mechanics in the cardiovascular system. Where traditional research methodologies in the human cardiovascular system are challenging due to its invasive nature, several recent advances in medical imaging and computational fluid and solid mechanics modelling now provide new and exciting research opportunities. This emerging field of study is multi-disciplinary, involving numerical methods, computational science, fluid and structural mechanics, and biomedical engineering. Certainly any new student or researcher in this field may feel overwhelmed by the wide range of disciplines that need to be understood. This unique book is one of the first to bring together knowledge from multiple disciplines, providing a starting point to each of the individual disciplines involved, attempting to ease the steep learning curve. This book presents elementary knowledge on the physiology of the cardiovascular system; basic knowledge and techniques on reconstructing geometric models from medical imaging; mathematics that describe fluid and structural mechanics, and corresponding numerical/computational methods to solve its equations and problems. Many practical examples and case studies are presented to reinforce best practice guidelines for setting high quality computational models and simulations. These examples contain a large number of images for visualization, to explain cardiovascular physiological functions and disease. The reader is then exposed to some of the latest research activities through a summary of breakthrough research models, findings, and techniques. The book’s approach is aimed at students and researchers entering this field from engineering, applied mathematics, biotechnology or medicine, wishing to engage in this emerging and exciting field of computational hemodynamics modelling.