Simulation of axonal excitability using a Spreadsheet template created in Microsoft Excel.
The objective of this present study was to implement an established simulation protocol (A.M. Brown, A methodology for simulating biological systems using Microsoft Excel, Comp. Methods Prog. Biomed. 58 (1999) 181-90) to model axonal excitability. The simulation protocol involves the use of in-cell formulas directly typed into a spreadsheet and does not require any programming skills or use of the macro language. Once the initial spreadsheet template has been set up the simulations described in this paper can be executed with a few simple keystrokes. The model axon contained voltage-gated ion channels that were modeled using Hodgkin Huxley style kinetics. The basic properties of axonal excitability modeled were: (1) threshold of action potential firing, demonstrating that not only are the stimulus amplitude and duration critical in the generation of an action potential, but also the resting membrane potential; (2) refractoriness, the phenomenon of reduced excitability immediately following an action potential. The difference between the absolute refractory period, when no amount of stimulus will elicit an action potential, and relative refractory period, when an action potential may be generated by applying increased stimulus, was demonstrated with regard to the underlying state of the Na(+) and K(+) channels; (3) temporal summation, a process by which two sub-threshold stimuli can unite to elicit an action potential was shown to be due to conductance changes outlasting the first stimulus and summing with the second stimulus-induced conductance changes to drive the membrane potential past threshold; (4) anode break excitation, where membrane hyperpolarization was shown to produce an action potential by removing Na(+) channel inactivation that is present at resting membrane potential. The simulations described in this paper provide insights into mechanisms of axonal excitation that can be carried out by following an easily understood protocol.
Department of Neurology, University of Washington School of Medicine, Box 356465, Seattle, WA 98195-6465, USA. ambrown@u.washington.edu
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D000200:Action Potentials; D000818:Animals; D001369:Axons / Q000502:physiology*; D003196:Computer Graphics; D049832:Decapodiformes; D015640:Ion Channel Gating / Q000502:physiology; D008564:Membrane Potentials; D008959:Models, Neurological; D009424:Nervous System Physiological Phenomena; D009431:Neural Conduction / Q000502:physiology*; D009716:Numerical Analysis, Computer-Assisted; D018408:Patch-Clamp Techniques; D012984:Software