Waves in Neural Media : From Single Neurons to Neural Fields
- 種類:
- 電子ブック
- 責任表示:
- by Paul C. Bressloff
- 出版情報:
- New York, NY : Springer New York : Imprint: Springer, 2014
- 著者名:
- シリーズ名:
- Lecture Notes on Mathematical Modelling in the Life Sciences ;
- ISBN:
- 9781461488668 [1461488664]
- 注記:
- Waves in Neural Media: From Single Cells 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 equation
- ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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