Computational and Mathematical Models of Neurons

  • Shinji Doi
  • Junko Inoue
  • Zhenxing Pan
Part of the A First Course in “In Silico Medicine” book series (FCISM, volume 2)


What are models? The HH equations (2.3) are often called a physiological model, whereas the models appeared in the following sections are simplified models or abstract models. However, there is no model in which any simplifications or abstractions have not been made. Of course, many features of real neurons are ignored even in the HH equations. All models have their applicability and limits to describe natural phenomena. Therefore, all types of models whatever simplified or physiological, have their own values to model real phenomena. Starting with the BVP or FHN model which is a simplification of the HH equations, this chapter proceeds to several neuronal models with higher abstractions which are useful to tract some essential features of neurons.


Hopf Bifurcation Bifurcation Diagram Neuron Model Bifurcation Curve Sinusoidal Input 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer 2010

Authors and Affiliations

  • Shinji Doi
    • 1
  • Junko Inoue
    • 2
  • Zhenxing Pan
    • 3
  1. 1.Graduate School of EngineeringKyoto UniversityKyoto-Daigaku Katsura, Nishikyo-kuJapan
  2. 2.Faculty of Human ScienceKyoto Koka Women’s UniversityJapan
  3. 3.Graduate School of EngineeringOsaka UniversityJapan

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