Waves in Neural Media

From Single Neurons to Neural Fields

Nonfiction, Science & Nature, Mathematics, Applied, Health & Well Being, Medical, Specialties, Internal Medicine, Neuroscience
Cover of the book Waves in Neural Media by Paul C. Bressloff, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Paul C. Bressloff ISBN: 9781461488668
Publisher: Springer New York Publication: October 17, 2013
Imprint: Springer Language: English
Author: Paul C. Bressloff
ISBN: 9781461488668
Publisher: Springer New York
Publication: October 17, 2013
Imprint: Springer
Language: English

Waves in Neural Media: From Single Neurons to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weakly nonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation of action potentials has inspired new mathematics, particularly with regard to the PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interesting mathematical questions with regard to the solution of nonlocal integro-differential equations. 

Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlinear dynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate course on ordinary differential equations or partial differential equations, making this an accessible and unique contribution to the field of mathematical biology. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Waves in Neural Media: From Single Neurons to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weakly nonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation of action potentials has inspired new mathematics, particularly with regard to the PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interesting mathematical questions with regard to the solution of nonlocal integro-differential equations. 

Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlinear dynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate course on ordinary differential equations or partial differential equations, making this an accessible and unique contribution to the field of mathematical biology. 

More books from Springer New York

Cover of the book Food Biopreservation by Paul C. Bressloff
Cover of the book Use of Microbes for the Alleviation of Soil Stresses by Paul C. Bressloff
Cover of the book Intrathecal Drug Therapy for Spasticity and Pain by Paul C. Bressloff
Cover of the book Ordinary Differential Equations: Basics and Beyond by Paul C. Bressloff
Cover of the book Device-Level Modeling and Synthesis of High-Performance Pipeline ADCs by Paul C. Bressloff
Cover of the book Advances in Hydrogeology by Paul C. Bressloff
Cover of the book Introduction to Nursing Informatics by Paul C. Bressloff
Cover of the book Nuclear Medicine Technology Study Guide by Paul C. Bressloff
Cover of the book Pharmacology by Paul C. Bressloff
Cover of the book Estrogens and Brain Function by Paul C. Bressloff
Cover of the book Vector Generalized Linear and Additive Models by Paul C. Bressloff
Cover of the book Introduction to Tensor Analysis and the Calculus of Moving Surfaces by Paul C. Bressloff
Cover of the book Surgery by Paul C. Bressloff
Cover of the book System Specification and Design Languages by Paul C. Bressloff
Cover of the book Promoting Balanced Competitiveness Strategies of Firms in Developing Countries by Paul C. Bressloff
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy