The intersection of mathematics and physiology has a rich history, with mathematical models playing a critical role in advancing our understanding of physiological systems, from basic cellular dynamics to complex systems biology. Through the examination of both classic and contemporary models, this book shows how real-world physiological problems can be studied and understood using mathematical techniques.Now more accessible than ever, this updated edition is specifically designed ...

This book discusses the ways in which mathematical, computational, and modelling methods can be used to help understand the dynamics of intracellular calcium. The concentration of free intracellular calcium is vital for controlling a wide range of cellular processes, and is thus of great physiological importance. However, because of the complex ways in which the calcium concentration varies, it is also of great mathematical interest.This book presents the general modelling theory as well a...

This book contains two review articles on mathematical physiology that deal with closely related topics but were written and can be read independently.The first article reviews the basic theory of calcium oscillations (common to almost all cell types), including spatio-temporal behaviors such as waves. The second article uses, and expands on, much of this basic theory to show how the interaction of cytosolic calcium oscillators with membrane ion channels can result in highly comple...

Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; no...

This is a uniquely comprehensive reference that summarizes the state of the art of signal processing theory and techniques for solving emerging problems in neuroscience, and which clearly presents new theory, algorithms, software and hardware tools that are specifically tailored to the nature of the neurobiological environment. It gives a broad overview of the basic principles, theories and methods in statistical signal processing for basic and applied neuroscience problems.Written...

Projects for Calculus is designed to add depth and meaning to any calculus course. The fifty-two projects presented in this text offer the opportunity to expand the use and understanding of mathematics. The wide range of topics will appeal to both instructors and students. Shorter, less demanding projects can be managed by the independent learner, while more involved, in-depth projects may be used for group learning. Each task draws on special mathematical topics and applications from subj...

Fuzzy Sets and Systems: Theory and Applications provides a comprehensive research monography that cover all of the important developments in the theory of fuzzy sets and their applications that have taken place during the past several years.

This volume includes paradigms, model systems, and techniques for the study of dysfunctions in the nervous system. The advantages and disadvantages of the approaches presented are critically discussed. - Neural injury - Developmental cell death - Disease processes and aging

This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first ...

This book focuses on neuro-engineering and neural computing, a multi-disciplinary field of research attracting considerable attention from engineers, neuroscientists, microbiologists and material scientists. It explores a range of topics concerning the design and development of innovative neural and brain interfacing technologies, as well as novel information acquisition and processing algorithms to make sense of the acquired data. The book also highlights emerging trends and advances rega...

In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin’s principles to m...

Although the function of nitric oxide in a regulatory capacity in the central and peripheral nervous system is widely recognized, the full scope of its actions and its interrelationships with other classes of regulatory molecules is just beginning to be comprehended. This volume contains a number of sophisticated and advanced methods essential for exploring the activity of nitric oxide in the brain. It will be a valuable tool for the established investigator and for those just entering the...