Mathematical Neuroscience

被引：1
|
作者：
Terman, David [1 ]
机构：
[1] Leiden Univ, NL-2300 RA Leiden, Netherlands
来源：
AMERICAN MATHEMATICAL MONTHLY | 2014年 / 121卷 / 09期
关键词：
EQUATIONS; MODEL;
D O I：
10.4169/amer.math.monthly.121.09.824
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Hodgkin-Huxley equations model the propagation of electrical signals in a nerve axon. Here we give examples of mathematics inspired by this model. The presentation is organized chronologically, beginning with a brief introduction to the underlying biology and a description of the model. Mathematical issues related to both single cell dynamics and large neuronal networks are discussed, along with applications to neurological disease.
引用
收藏
页码：824 / 839
页数：16
相关论文
共 50 条
  • [21] Models and mechanisms in network neuroscience
    Zednik, Carlos
    PHILOSOPHICAL PSYCHOLOGY, 2019, 32 (01) : 23 - 51
  • [22] NEUROSCIENCE Periodicity without rhythmicity
    Colgin, Laura Lee
    NATURE, 2011, 479 (7371) : 46 - 47
  • [23] NEUROSCIENCE Towards functional connectomics
    Seung, H. Sebastian
    NATURE, 2011, 471 (7337) : 170 - 172
  • [24] Formalising the role of behaviour in neuroscience
    Piantadosi, Steven T.
    Gallistel, Charles R.
    EUROPEAN JOURNAL OF NEUROSCIENCE, 2024, 60 (05) : 4756 - 4770
  • [25] The Ethology Application of Zebrafish in Neuroscience
    Zou Su-Qi
    Yin Wu
    Yang Yu-Peng
    Chen Lin
    Hu Bing
    PROGRESS IN BIOCHEMISTRY AND BIOPHYSICS, 2009, 36 (01) : 5 - 12
  • [26] Coordination Dynamics in Cognitive Neuroscience
    Bressler, Steven L.
    Kelso, J. A. Scott
    FRONTIERS IN NEUROSCIENCE, 2016, 10
  • [27] Challenges in the Analysis of Neuroscience Data
    Guindani, Michele
    Vannucci, Marina
    STUDIES IN NEURAL DATA SCIENCE, 2018, 257 : 131 - 156
  • [28] A VOLTAGE-CONDUCTANCE KINETIC SYSTEM FROM NEUROSCIENCE: PROBABILISTIC REFORMULATION AND EXPONENTIAL ERGODICITY
    Dou, Xu'an
    Kong, Fanhao
    Xu, Weijun
    Zhou, Zhennan
    KINETIC AND RELATED MODELS, 2024, 17 (05) : 713 - 738
  • [29] Can physics and neuroscience allow for free will?
    Liljenstrom, Hans
    PHYSICS AND REALITY: INTERNATIONAL CONFERENCE ON PHILOSOPHY OF PHYSICS, 2025, 2948
  • [30] Neuroscience-Inspired Artificial Intelligence
    Hassabis, Demis
    Kumaran, Dharshan
    Summerfield, Christopher
    Botvinick, Matthew
    NEURON, 2017, 95 (02) : 245 - 258
12345