Sensitivity analysis of a model of mammalian neural membrane.

Journal Article (Journal Article)

The sensitivity of the strength-duration (S-D) relationship to changes in the parameters describing the sodium channel of mammalian neuronal membrane was determined by computer simulation. A space-clamped patch of neuronal membrane was modeled by a parallel nonlinear sodium conductance, linear leakage conductance, and membrane capacitance. Each parameter that governs the activation (m) and inactivation (h) variables of the sodium channel was varied from -50% to +50% of its default value, and for each variation a S-D relationship was generated. Individual changes in six of the eleven parameters (alpha mA, alpha mD, alpha hA, beta mA, beta mB, and beta hB) generated substantial changes in the rheobase current and chronaxie time (Tch) of the model. Changing the parameter values individually did not correct for the model's failure to generate excitation after the release from a long duration hyperpolarization (anode break excitation). Scaling a combination of five parameters (alpha mA, alpha mB, alpha hA, beta mA, and beta hB) by an equal amount produced a model that generated anode break excitation and increased Tch, but also decreased the amplitude of the action potential. To reproduce the amplitude of the action potential, the maximum sodium conductance and sodium Nernst potential were increased. These modifications generated a model that had S-D properties closer to experimental results, could produce anode break excitation, and reproduced the action potential amplitude.

Full Text

Duke Authors

Cited Authors

  • McIntyre, CC; Grill, WM

Published Date

  • July 1998

Published In

Volume / Issue

  • 79 / 1

Start / End Page

  • 29 - 37

PubMed ID

  • 9742675

Electronic International Standard Serial Number (EISSN)

  • 1432-0770

International Standard Serial Number (ISSN)

  • 0340-1200

Digital Object Identifier (DOI)

  • 10.1007/s004220050455


  • eng