Definition
The Morris–Lecar model usually refers to a reduced two-variable model of action potential generation, originally formulated by Morris and Lecar (1981) in their study of barnacle muscle electrical activity (for historical perspective see Lecar 2007). It was later popularized as a reduced model for neuronal excitability (Rinzel and Ermentrout 1998). The Morris–Lecar model is formulated in the Hodgkin–Huxley framework, with biophysically meaningful parameters and structure. It incorporates a slower hyperpolarizing potassium current and a fast non-inactivating calcium current (depolarizing and regenerative, like the Hodgkin–Huxley sodium current). In the simplest two-dimensional formulation, the activation of Ca2+ is assumed to be so fast that it is modeled as instantaneous. The model equations are
where \(...
References
Borisyuk A, Rinzel J (2005) Understanding neuronal dynamics by geometrical dissection of minimal models. In: Chow C, Gutkin B, Hansel D, Meunier C (eds) Methods and models in neurophysics, Les Houches Summer School, Session LXXX, Elsevier
Cole KS, Guttman R, Bezanilla F (1970) Nerve excitation without threshold. Proc Natl Acad Sci U S A 65:884–891
Ermentrout GB, Terman D (2010) Mathematical foundations of neuroscience. Springer, New York
Izhikevich EM (2007) Dynamical systems in neuroscience: the geometry of excitability and bursting. MIT Press, Cambridge, MA
Lecar H (2007) Morris-Lecar model. Scholarpedia 2(10):1333
Morris C, Lecar H (1981) Voltage oscillations in the barnacle giant muscle fiber. Biophys J 35:193–213
Rinzel J, Ermentrout B (1998) Analysis of neural excitability and oscillations. In: Koch C, Segev I (eds) Methods in neuronal modeling: from ions to networks, 2nd edn. MIT Press, Cambridge, MA, pp 251–291
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Borisyuk, A. (2014). Morris–Lecar Model. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_150-1
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DOI: https://doi.org/10.1007/978-1-4614-7320-6_150-1
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