Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Theta_model> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- Theta_model abstract "The theta model (otherwise known as the Ermentrout-Kopell canonical model) is a "biological neuron model" originally used to model neurons in the animal Aplysia, but later became useful in various fields of computational neuroscience. The model is particularly well suited to mathematically describe a process involving rapid oscillations in the membrane potential of neurons. These fast membrane potential oscillations, interrupted by periods of relatively little oscillation, are known as bursts. Bursts are often found in neurons that are responsible for controlling and maintaining steady rhythms. For example, breathing is controlled by a small network of bursting neurons in the brain stem. Of the three main classes of bursting neurons (square wave bursting, parabolic bursting, and elliptic bursting), the theta model describes parabolic bursting. Parabolic bursting is characterized by a series of bursts that are regulated by a slower external oscillation. This slow oscillation changes the frequency of the faster oscillation so that the frequency curve of the burst pattern resembles a parabola.The model has just one state variable; in contrast, the Hodgkin–Huxley model consists of four state variables and the Morris–Lecar model is defined by two state variables. The single state variable of the theta model, and the elegantly simple equations that govern its behavior allow for analytic, or closed-form solutions (including an explicit expression for the phase response curve). The dynamics of the model take place on the unit circle, and are governed by two cosine functions and a real-valued input function.Similar models include the quadratic integrate and fire (QIF) model, which differs from the theta model by only by a change of variables and Plant's model, which consists of Hodgkin–Huxley type equations and differs from the theta model by a series of coordinate transformations.Despite its simplicity, the theta model offers enough complexity in its dynamics that it has been used for a wide range of theoretical neuroscience research as well as in research beyond biology, such as in artificial intelligence.".
- Theta_model thumbnail SNIC.png?width=300.
- Theta_model wikiPageExternalLink Conductance-based_models.
- Theta_model wikiPageExternalLink Ermentrout-Kopell_canonical_model.
- Theta_model wikiPageExternalLink Plant_model.
- Theta_model wikiPageExternalLink Quadratic_integrate_and_fire_neuron.
- Theta_model wikiPageExternalLink Saddle-node_bifurcation_on_invariant_circle.
- Theta_model wikiPageID "34038330".
- Theta_model wikiPageRevisionID "599928779".
- Theta_model hasPhotoCollection Theta_model.
- Theta_model subject Category:Computational_neuroscience.
- Theta_model subject Category:Mathematical_modeling.
- Theta_model subject Category:Nonlinear_systems.
- Theta_model type Abstraction100002137.
- Theta_model type Group100031264.
- Theta_model type NonlinearSystem108435246.
- Theta_model type NonlinearSystems.
- Theta_model type System108435388.
- Theta_model comment "The theta model (otherwise known as the Ermentrout-Kopell canonical model) is a "biological neuron model" originally used to model neurons in the animal Aplysia, but later became useful in various fields of computational neuroscience. The model is particularly well suited to mathematically describe a process involving rapid oscillations in the membrane potential of neurons.".
- Theta_model label "Theta model".
- Theta_model sameAs m.0hr4kmm.
- Theta_model sameAs Q17085807.
- Theta_model sameAs Q17085807.
- Theta_model sameAs Theta_model.
- Theta_model wasDerivedFrom Theta_model?oldid=599928779.
- Theta_model depiction SNIC.png.
- Theta_model isPrimaryTopicOf Theta_model.
