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The typical Hodgkin–Huxley model treats each component of an excitable cell as an electrical element (as shown in the figure). The lipid bilayer is represented as a capacitance (C m). Voltage-gated ion channels are represented by electrical conductances (g n, where n is the specific ion channel) that depend on both voltage and time.
Each cell can be in one of the three following states: Traveling waves in a model of an excitable medium (White – Quiescent, Green – Excited, Yellow – Refractory) Quiescent or excitable — the cell is unexcited, but can be excited. In the forest fire example, this corresponds to the trees being unburnt. Excited — the cell is excited.
The FitzHugh–Nagumo model (FHN) describes a prototype of an excitable system (e.g., a neuron). It is an example of a relaxation oscillator because, if the external stimulus I ext {\displaystyle I_{\text{ext}}} exceeds a certain threshold value, the system will exhibit a characteristic excursion in phase space , before the variables v ...
However, the main excitable cell is the neuron, which also has the simplest mechanism for the action potential. [citation needed] Neurons are electrically excitable cells composed, in general, of one or more dendrites, a single soma, a single axon and one or more axon terminals. Dendrites are cellular projections whose primary function is to ...
Part of the Cell cycle. A cellular model is a mathematical model of aspects of a biological cell, for the purposes of in silico research.. Developing such models has been a task of systems biology and mathematical biology.
Neurons (or nerve cells) are electrically excitable cells within the nervous system, able to fire electric signals, called action potentials, across a neural network. These mathematical models describe the role of the biophysical and geometrical characteristics of neurons on the conduction of electrical activity.
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