圖書標籤: neuroscience 神經科學 數學 NolinearDynamics Neuroscience 交叉學科 mathematics 科普
发表于2024-12-26
Dynamical Systems in Neuroscience pdf epub mobi txt 電子書 下載 2024
In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology.Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties.The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines.Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum--or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience.An additional chapter on synchronization, with more advanced material, can be found at the author's website, www.izhikevich.com.
Information-processing depends not only on the electrophysiological properties of neurons but also on their dynamical properties. Even if two neurons in the same region of the nervous system possess similar electrophysiological features...
評分以ODE幾何理論為基礎來理解動作電位發生的一本書。這本書從Hodgkin-Huxley方程齣發,討論其幾何性質(node, saddle, bifurcation...)並與一些實驗比對,是理解動作電位機理特性的一本不可多得的好書。書的後期給齣瞭一些能概括神經元動力學特性的ODE方程組模型,但也止步於此。適閤作為計算神經科學入門讀物,用以深入理解H-H方程,但由於時代所限,深度有限。(私心認為用於入門,理論清晰,好過Dayan&Abbot的那本大雜燴)
評分Information-processing depends not only on the electrophysiological properties of neurons but also on their dynamical properties. Even if two neurons in the same region of the nervous system possess similar electrophysiological features...
評分以ODE幾何理論為基礎來理解動作電位發生的一本書。這本書從Hodgkin-Huxley方程齣發,討論其幾何性質(node, saddle, bifurcation...)並與一些實驗比對,是理解動作電位機理特性的一本不可多得的好書。書的後期給齣瞭一些能概括神經元動力學特性的ODE方程組模型,但也止步於此。適閤作為計算神經科學入門讀物,用以深入理解H-H方程,但由於時代所限,深度有限。(私心認為用於入門,理論清晰,好過Dayan&Abbot的那本大雜燴)
評分Information-processing depends not only on the electrophysiological properties of neurons but also on their dynamical properties. Even if two neurons in the same region of the nervous system possess similar electrophysiological features...
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Dynamical Systems in Neuroscience pdf epub mobi txt 電子書 下載 2024