About: Quantitative models of the action potential

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In neurophysiology, several mathematical models of the action potential have been developed, which fall into two basic types. The first type seeks to model the experimental data quantitatively, i.e., to reproduce the measurements of current and voltage exactly. The renowned Hodgkin–Huxley model of the axon from the Loligo squid exemplifies such models. Although qualitatively correct, the H-H model does not describe every type of excitable membrane accurately, since it considers only two ions (sodium and potassium), each with only one type of voltage-sensitive channel. However, other ions such as calcium may be important and there is a great diversity of channels for all ions. As an example, the cardiac action potential illustrates how differently shaped action potentials can be generated o

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rdfs:label	Quantitative models of the action potential (en)
rdfs:comment	In neurophysiology, several mathematical models of the action potential have been developed, which fall into two basic types. The first type seeks to model the experimental data quantitatively, i.e., to reproduce the measurements of current and voltage exactly. The renowned Hodgkin–Huxley model of the axon from the Loligo squid exemplifies such models. Although qualitatively correct, the H-H model does not describe every type of excitable membrane accurately, since it considers only two ions (sodium and potassium), each with only one type of voltage-sensitive channel. However, other ions such as calcium may be important and there is a great diversity of channels for all ions. As an example, the cardiac action potential illustrates how differently shaped action potentials can be generated o (en)
foaf:depiction
dcterms:subject	Action potentials Capacitors Mathematical modeling
Wikipage page ID	17033211 (xsd:integer)
Wikipage revision ID	1064859563 (xsd:integer)
Link from a Wikipage to another Wikipage	Cable theory Calcium Cardiac action potential Electric potential Electrolyte Electrostatics Entrainment (biomusicology) Muscle Barnacle Dynamical system Maxwell's equations Saltatory conduction Ohm's law Electric field Electrical conductance Electrical conductivity Entrainment (physics) Andrew Huxley Magnetic field Action potential Action potentials Capacitors Tunnel diode Loligo Current density Firefly Fixed point (mathematics) Central pattern generator Biological neural network Biological neuron models Mathematical modeling Bioelectronics Hodgkin–Huxley model Models of neural computation Bursting Speed of light Field line Green's identities Independent variable Alan Lloyd Hodgkin Neurophysiology Ohm's Law Operational amplifier Ordinary differential equation Van der Pol oscillator Excitatory postsynaptic potential FitzHugh–Nagumo model Rate equation GHK current equation
Link from a Wikipage to an external page	https://archive.org/details/fromclockstochao00glas
sameAs	Quantitative models of the action potential Quantitative models of the action potential Quantitative models of the action potential Quantitative models of the action potential
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thumbnail	wiki-commons:Special:FilePath/MembraneCircuit.svg?width=300
has abstract	In neurophysiology, several mathematical models of the action potential have been developed, which fall into two basic types. The first type seeks to model the experimental data quantitatively, i.e., to reproduce the measurements of current and voltage exactly. The renowned Hodgkin–Huxley model of the axon from the Loligo squid exemplifies such models. Although qualitatively correct, the H-H model does not describe every type of excitable membrane accurately, since it considers only two ions (sodium and potassium), each with only one type of voltage-sensitive channel. However, other ions such as calcium may be important and there is a great diversity of channels for all ions. As an example, the cardiac action potential illustrates how differently shaped action potentials can be generated on membranes with voltage-sensitive calcium channels and different types of sodium/potassium channels. The second type of mathematical model is a simplification of the first type; the goal is not to reproduce the experimental data, but to understand qualitatively the role of action potentials in neural circuits. For such a purpose, detailed physiological models may be unnecessarily complicated and may obscure the "forest for the trees". The FitzHugh–Nagumo model is typical of this class, which is often studied for its entrainment behavior. Entrainment is commonly observed in nature, for example in the synchronized lighting of fireflies, which is coordinated by a burst of action potentials; entrainment can also be observed in individual neurons. Both types of models may be used to understand the behavior of small biological neural networks, such as the central pattern generators responsible for some automatic reflex actions. Such networks can generate a complex temporal pattern of action potentials that is used to coordinate muscular contractions, such as those involved in breathing or fast swimming to escape a predator. (en)
prov:wasDerivedFrom	wikipedia-en:Quantitative_models_of_the_action_potential?oldid=1064859563&ns=0
page length (characters) of wiki page	26031 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Quantitative_models_of_the_action_potential
is Link from a Wikipage to another Wikipage of	Biological neuron model Morris–Lecar model Balthasar van der Pol Bioelectronics Models of neural computation
is foaf:primaryTopic of	wikipedia-en:Quantitative_models_of_the_action_potential

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