Mathematics forms bridges between knowledge, tradition, and contemporary life. The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. The book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related sciences, such as: Ralph Abraham, Andrew Crumey, Peter Markowich, Claudio Procesi, Clive Ruggles, Ismail Serageldin, Amin Shokrollahi, Tobias Wallisser
Mathematics forms bridges between knowledge, tradition, and contemporary life. The continuous development and growth of its many branches, both ...
Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can aid the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning.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. It is...
Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can aid the understanding of physio...
This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems. In particular, the book shows how to use the law of mass balance and the law of mass action to derive an enzyme kinetic model - the Michaelis-Menten function or the Hill function, how to use a current-voltage relation, Nernst potential equilibrium equation, and Hodgkin and Huxley's models to model an ionic channel or pump, and how to use the law of mass balance to integrate these enzyme or channel models into a complete feedback control...
This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems...
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...
This book proposes an introduction to the mathematical modeling of the respiratory system. A detailed introduction on the physiological aspects makes ...
This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics.
Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in...
This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, gover...
This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite...
This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic pr...
This advanced textbook offers a user friendly and systematic introduction to mathematical models in speech and hearing sciences. It features step-by-step analysis of models and computational methods from numerical analysis, signal processing and statistics.
This advanced textbook offers a user friendly and systematic introduction to mathematical models in speech and hearing sciences. It features step-by-s...
This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds. The background idea is indeed that most of the complex trends exhibited by crowds are due to an intrinsic interplay between individual and collective behaviors. The modeling approach promoted in this book pursues actively this intuition and profits from it for designing general mathematical structures...
This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, wh...
This volume covers the main mathematical and numerical models in computational electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to macroscopic bidomain, monodomain, eikonal models and cardiac source representations.
This volume covers the main mathematical and numerical models in computational electrocardiology, ranging from microscopic membrane models of cardiac ...
The book comprises the contribution of several authors who are among the most renowned scientists working in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. The contributions cover a wide range of topics, from the pre processing of clinical data, to the set up of mathematical equations, their numerical solution, both in-vivo and in-vitro validation. They address 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 addressed. This book is...
The book comprises the contribution of several authors who are among the most renowned scientists working in the field of mathematical modeling and nu...
