You are here: Home / Exposures / Surkis, Peskin, Tranchina, Leonard, 1998 / Recovery of Cable Properties Through Active and Passive Modeling of Subthreshold Membrane Responses From Laterodorsal Tegmental Neurons

Model Mathematics

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Component: environment

Component: membrane

\frac{\partial}{\partial time} (v) = \frac{\frac{a}{2.0 Ri} (v_x2 + v_x \frac{2.0}{a} a_x) {(1.0 + {a_x}^{2.0})}^{0.5} - (Gm (v - Em) + Gsh (v - Esh) + i_H + i_A)}{Cm} \frac{\partial}{\partial x} (v) = v_x \frac{d}{d x} (a) = a_x \frac{\partial^{2.0}}{\partial x^{2.0}} (v) = v_x2

Component: H_current

i_H = GH mH (v - EH)

Component: H_current_m_gate

mH_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{v + 75.0}{5.5}}} tau_mH = \frac{1.0}{ⅇ^{- 14.06 - (0.86 v)} + ⅇ^{(- 1.87) + 0.070 v}}

Component: A_current

i_A = GA mA hA (v - EA)

Component: A_current_m_gate

mA_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{v + 39.0}{-5.6}}}

Component: A_current_h_gate

hA_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{v + 57.0}{4.8}}}

Source: Derived from workspace Surkis, Peskin, Tranchina, Leonard, 1998 at changeset 1331d94aca97.

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Recovery of Cable Properties Through Active and Passive Modeling of Subthreshold Membrane Responses From Laterodorsal Tegmental Neurons