Golomb, D., Guckenheimer, J. and Gueron, S. (1993) Reduction of a channel-based model for a stomatogastric ganglion LP neuron. Biol. Cybern. 69:129-137.  Home/Search   Document Details and Download   Summary   Related Articles

....variables (13 for the LP model) For the mathematical analysis of these models, it is useful to reduce this number as much as possible. One method for doing this involves the use of equivalent potentials (Abbott and Kepler, 1990; Kepler et al. 1992) and this method was applied to the LP model by Golomb et al. 1993). We illustrate here both the general method and its application to the LP model. The dynamic variables in conductance based models include the membrane potential, V, and a number of gating variables like the m and h of equation (2) Let a i represent the collection of gating variables (with i ....

....U i is not a reduction but an exact recasting of the model into a different form. The advantage of this change of variables is apparent when the equivalent potentials for different gating variables are plotted and compared. This is shown for the LP model in Figure 4, taken from the work of Golomb et al. 1993). It is clear from this figure that the equivalent potentials corresponding to inactivation of the Na current (U h ) and the activation of I A (U aa ) are similar. Also, the equivalent potentials for the delayed rectifier K current (U n ) and the activation variable of the transient Ca ....

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Golomb, D., Guckenheimer, J. and Gueron, S. (1993) Reduction of a channel-based model for a stomatogastric ganglion LP neuron. Biol. Cybern. 69:129-137.

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