Partial Differential Equation Analysis in Biomedical Engineering: Case Studies With Matlab (repost)

This book provides the first rigorous derivation of mesoscopic and macroscopic equations from a deterministic system of microscopic equations. The microscopic equations are cast in the form of a deterministic (Newtonian) system of coupled nonlinear oscillators for N large particles and infinitely many small particles. The mesoscopic equations are stochastic ordinary differential equations (SODEs) and stochastic partial differential equatuions (SPDEs), and the macroscopic limit is described by a parabolic partial differential equation.

This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard models of mathematical physics and methods for solving those equations on unbounded and bounded domains. The text differs from other texts in that it is a brief treatment; yet it provides coverage of the main topics usually studied in the standard course as well as an introduction to using computer algebra packages to solve and understand partial differential equations.

This book is a broad-based introduction to an increasingly important topic. The overview is easy because each chapter is structured uniformly: theory, methods, realization alternatives, methodical and practical advantages and disadvantages, and examples from industrial technology and medicine as well as research and development practice.

This book is a broad-based introduction to an increasingly important topic. The overview is easy because each chapter is structured uniformly: theory, methods, realization alternatives, methodical and practical advantages and disadvantages, and examples from industrial technology and medicine as well as research and development practice.

This volume presents the proceedings of ICIBEL 2017, organized by the Centre for Innovation in Medical Engineering (CIME) under Innovative Technology Research Cluster, University of Malaya. It was held in George Town, Penang, Malaysia, from 10-13 December 2017.

This book presents a compact study on recent concepts and advances in biomedical engineering. The ongoing advancement of civilization and related technological innovations are increasingly affecting many aspects of our lives.