Table of Contents
What does the Hodgkin Huxley model show?
The Hodgkin–Huxley model, or conductance-based model, is a mathematical model that describes how action potentials in neurons are initiated and propagated. It is a set of nonlinear differential equations that approximates the electrical characteristics of excitable cells such as neurons and cardiac myocytes.
What is the purpose of cable theory?
The main purpose of cable theory is to understand this process, i.e. how electrical signals from different synapses are combined in the system of branching tubes of different diameters and membrane properties that forms the dendritic tree of a cell.
What is cable theory of nerve conduction?
On the basis of this equivalent circuit model, the conduction of the nerve is often described by using a theory in which the conduction is regarded as an electric current on imaginary electric longitudinal leads running inside and outside the axon membrane, known as a cable theory (Koch, 1984).
What did Hodgkin and Huxley discover?
Hodgkin and Huxley’s work with the giant squid axon was the first to use mathematical models to represent biological systems. Due to Hodgkin and Huxley’s findings, we are able to understand how an action potential propagates along a nerve and the functions of their associated ion channels.
What is a cable model?
Classical cable theory uses mathematical models to calculate the electric current (and accompanying voltage) along passive neurites, particularly the dendrites that receive synaptic inputs at different sites and times.
What does the cable equation describe?
The cable equation is a mathematical equation derived from a circuit model of the membrane and its intracellular and extracellular space to provide a quantitative description of current flow and voltage change both within and between neurons, allowing a quantitative and qualitative understanding of how neurons function …
What is the cable model?
CABLE is a land surface model, used to calculate the fluxes of momentum, energy, water and carbon between the land surface and the atmosphere and to model the major biogeochemical cycles of the land ecosystem.
What do you mean by cable model?
What is the Hodgkin-Huxley model of cell membrane?
The Hodgkin-Huxley model can be understood with the help of Fig. 2.2 . The semipermeable cell membrane separates the interior of the cell from the extracellular liquid and acts as a capacitor. If an input current I (t) is injected into the cell, it may add further charge on the capacitor, or leak through the channels in the cell membrane.
What is the main purpose of cable theory?
The main purpose of cable theory is to understand this process, i.e. how electrical signals from different synapses are combined in the system of branching tubes of different diameters and membrane properties that forms the dendritic tree of a cell.
What is neuronal cable theory?
Neuronal cable theory is a set of assumptions and results relating to the propagation and interaction of electrical signals in spatially extended nerve cells . Many neurons have either a complex geometry, or large spatial extent, or both.
How many types of ion channels are in the Hodgkin-Huxley model?
Thus where the sum runs over all ion channels. In the standard Hodgkin-Huxley model there are only three types of channel: a sodium channel with index Na, a potassium channel with index K and an unspecific leakage channel with resistance R; cf. Fig. 2.2.