The Respiratory System In Equations

This book proposes an introduction to the mathematical modeling of the respiratory system. A detailed introduction on the physiological aspects makes it accessible to a large audience without any prior knowledge on the lung. Different levels of description are proposed, from the lumped models with a small number of parameters (Ordinary Differential Equations), up to infinite dimensional models based on Partial Differential Equations. Besides these two types of differential equations, two chapters are dedicated to resistive networks, and to the way they can be used to investigate the dependence of the resistance of the lung upon geometrical characteristics. The theoretical analysis of the various models is provided, together with state-of-the-art techniques to compute approximate solutions, allowing comparisons with experimental measurements. The book contains several exercises, most of which are accessible to advanced undergraduate students.

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.

The Systems of the Body series has established itself as a highly valuable resource for medical and other health science students following today’s systems-based courses. Now thoroughly revised and updated in this third edition, each volume presents the core knowledge of basic science and clinical conditions that medical students need, providing a concise, fully integrated view of each major body system that can be hard to find in more traditionally arranged textbooks or other resources. Multiple case studies help relate key principles to current practice, with links to clinical skills, clinical investigation and therapeutics made clear throughout. Each (print) volume also now comes with access to the complete, enhanced eBook version, offering easy anytime, anywhere access - as well as self-assessment material to check your understanding and aid exam preparation. The Respiratory System provides highly accessible coverage of the core basic science principles in the context of clinical case histories, giving the reader a fully integrated understanding of the system and its major diseases. Introduction Structure and function of the respiratory system Elastic properties of the respiratory system Airflow and resistance in the respiratory system Pulmonary Ventilation Diffusion of Gases between air and blood The Pulmonary Circulation Carriage of gases by the blood and acid/base balance Nervous control of breathing Chemical control of breathing Lung function tests Systems of the Body Series: The Renal System The Musculoskeletal System The Nervous System The Digestive System The Endocrine System The Respiratory System The Cardiovascular System

The Human Respiratory System combines emerging ideas from biology and mathematics to show the reader how to produce models for the development of biomedical engineering applications associated with the lungs and airways. Mathematically mature but in its infancy as far as engineering uses are concerned, fractional calculus is the basis of the methods chosen for system analysis and modelling. This reflects two decades’ worth of conceptual development which is now suitable for bringing to bear in biomedical engineering. The text reveals the latest trends in modelling and identification of human respiratory parameters with a view to developing diagnosis and monitoring technologies. Of special interest is the notion of fractal structure which is indicative of the large-scale biological efficiency of the pulmonary system. The related idea of fractal dimension represents the adaptations in fractal structure caused by environmental factors, notably including disease. These basics are linked to model the dynamical patterns of breathing as a whole. The ideas presented in the book are validated using real data generated from healthy subjects and respiratory patients and rest on non-invasive measurement methods. The Human Respiratory System will be of interest to applied mathematicians studying the modelling of biological systems, to clinicians with interests outside the traditional borders of medicine, and to engineers working with technologies of either direct medical significance or for mitigating changes in the respiratory system caused by, for example, high-altitude or deep-sea environments.

This book is a practical guide to the diagnosis of respiratory disorders, helping clinicians recognise signs and symptoms, decide on the most appropriate diagnostic tests, and to interpret the results. Divided into four sections, the book covers respiratory system assessment, evaluation of respiratory function, diagnostic imaging, and invasive diagnostic techniques. The imaging section includes radiograph, computed tomography, angiography, and ultrasonography. The invasive diagnostic procedures section covers bronchoscopy, lung biopsy, transbronchial needle aspiration and more. Video-assisted thoracic surgery as a diagnostic tool is also discussed. Authored by recognised expert Professor Claudio Sorino from University of Palermo, this useful manual is enhanced by clinical images and figures. Key Points Practical guide to diagnosis of respiratory disorders Helps clinicians recognise signs and symptoms, choose appropriate diagnostic tests and interpret results Includes chapter on video-assisted thoracic surgery as a diagnostic tool Authored by recognised expert from University of Palermo

This book elucidates the morphological backgrounds of various functional parameters of the human respiratory system, including the respiratory control system, dynamics of the upper and lower airways, gas transport and mixing in the lower airways, gas exchange in the acinus, and gas transfer through the alveolar wall. Presenting the latest findings on the interrelationships between morphology and physiology in the respiratory system, the book’s goal is to provide a foundation for further exploring structure-function relationships in various respiratory systems, and to improve both the quality of basic science, and that of clinical medicine targeting the human respiratory system. Edited and written by internationally recognized experts, Structure-Function Relationships in Various Respiratory Systems offers a valuable asset for all physicians and researchers engaging in clinical, physiological, or morphological work in the field of respiration. Moreover, it provides a practical guide for physicians, helping them make more precise pathophysiological decisions concerning patients with various types of lung disease, and will be of interest to respiratory physiologists and respiratory morphologists.

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.

Traditional research methodologies in the human respiratory system have always been challenging due to their invasive nature. Recent advances in medical imaging and computational fluid dynamics (CFD) have accelerated this research. This book compiles and details recent advances in the modelling of the respiratory system for researchers, engineers, scientists, and health practitioners. It breaks down the complexities of this field and provides both students and scientists with an introduction and starting point to the physiology of the respiratory system, fluid dynamics and advanced CFD modeling tools. In addition to a brief introduction to the physics of the respiratory system and an overview of computational methods, the book contains best-practice guidelines for establishing high-quality computational models and simulations. Inspiration for new simulations can be gained through innovative case studies as well as hands-on practice using pre-made computational code. Last but not least, students and researchers are presented the latest biomedical research activities, and the computational visualizations will enhance their understanding of physiological functions of the respiratory system.