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- Quantitative_models_of_the_action_potential 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.".
- Quantitative_models_of_the_action_potential thumbnail MembraneCircuit.svg?width=300.
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- Quantitative_models_of_the_action_potential wikiPageRevisionID "698323538".
- Quantitative_models_of_the_action_potential wikiPageWikiLink Action_potential.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Alan_Lloyd_Hodgkin.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Andrew_Huxley.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Barnacle.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Bioelectronics.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Biological_neural_network.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Biological_neuron_model.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Bursting.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Cable_theory.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Calcium.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Cardiac_action_potential.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Category:Mathematical_modeling.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Central_pattern_generator.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Current_density.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Dependent_and_independent_variables.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Dynamical_system.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Electric_field.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Electric_potential.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Electrical_resistance_and_conductance.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Electrical_resistivity_and_conductivity.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Electrolyte.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Electrostatics.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Entrainment_(biomusicology).
- Quantitative_models_of_the_action_potential wikiPageWikiLink Excitatory_postsynaptic_potential.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Field_line.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Firefly.
- Quantitative_models_of_the_action_potential wikiPageWikiLink FitzHugh–Nagumo_model.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Fixed_point_(mathematics).
- Quantitative_models_of_the_action_potential wikiPageWikiLink GHK_flux_equation.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Greens_identities.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Hodgkin–Huxley_model.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Injection_locking.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Loligo.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Magnetic_field.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Maxwells_equations.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Muscle.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Neurophysiology.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Ohms_law.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Operational_amplifier.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Ordinary_differential_equation.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Rate_equation.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Saltatory_conduction.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Speed_of_light.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Tunnel_diode.
- Quantitative_models_of_the_action_potential wikiPageWikiLink Van_der_Pol_oscillator.
- Quantitative_models_of_the_action_potential wikiPageWikiLink File:MembraneCircuit.svg.
- Quantitative_models_of_the_action_potential wikiPageWikiLink File:Negative_differential_resistance.svg.
- Quantitative_models_of_the_action_potential wikiPageWikiLinkText "Quantitative models of the action potential".
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- Quantitative_models_of_the_action_potential wikiPageUsesTemplate Template:Main.
- Quantitative_models_of_the_action_potential wikiPageUsesTemplate Template:Reflist.
- Quantitative_models_of_the_action_potential subject Category:Mathematical_modeling.
- Quantitative_models_of_the_action_potential 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.".
- Quantitative_models_of_the_action_potential label "Quantitative models of the action potential".
- Quantitative_models_of_the_action_potential sameAs Q7268932.
- Quantitative_models_of_the_action_potential sameAs m.04166xf.
- Quantitative_models_of_the_action_potential sameAs Q7268932.
- Quantitative_models_of_the_action_potential wasDerivedFrom Quantitative_models_of_the_action_potential?oldid=698323538.
- Quantitative_models_of_the_action_potential depiction MembraneCircuit.svg.
- Quantitative_models_of_the_action_potential isPrimaryTopicOf Quantitative_models_of_the_action_potential.