ak_plot

command
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Published: Mar 13, 2022 License: BSD-3-Clause Imports: 11 Imported by: 0

README

A-type Potassium Channel

This voltage-gated K channel has a narrow window of activation between the M and H gates, around -30 mV. The M activating gate has a fast time constant on the scale of a msec, while the H inactivating gate has a linearly increasing time constant as a function of V.

	K = -1.8 - 1/(1+exp((vbio+40)/5))
    Alpha(V,K) = exp(0.03707 * K * (V - 1))
	Beta(V,K) = exp(0.01446 * K * (V - 1))
    H(V) = 1 / (1 + epx(0.1133 * (V + 56)))
    Htau(V) = 0.26 * (V + 50) > 2
    M(Alpha) = 1 / (1 + Alpha)
    Mtau(Alpha, Beta) = 1 + Beta / (0.5 * (1 + Alpha))

NOTE: to work properly with 1 msec Dt updating, the MTau adds a 1 -- otherwise MTau goes to high.

G from V

M and H gating from V

Mtau from V

Htau from V

Gak and M over time

The Time Run plot (above) shows how the Gak current develops over time in response to spiking, which it tracks directly due to very fast M dynamics. The H current inactivates significantly when the consistent Vm level (TimeVstart) is elevated -- e.g., -50 as shown in the figure.

Documentation

Overview

Copyright (c) 2020, The Emergent Authors. All rights reserved. Use of this source code is governed by a BSD-style license that can be found in the LICENSE file. akplot plots an equation updating over time in a etable.Table and Plot2D. This is a good starting point for any plotting to explore specific equations. This example plots a double exponential (biexponential) model of synaptic currents.

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