rwalk_cv_pulse: Build a random walk matrix for cyclic voltammetry

In pnojai/rwalk: Random Walk Model of Neurotransmitter Release and Uptake

Description

The random walk models concentration at time intervals and bin distances from an electrode. For performance optimization, only bins to the left of the electrode are included in the matrix, as the right bin values are symmetric with respect to the left.

Usage

rwalk_cv_pulse(vmax, km, release, pulses, pulse_freq, bin_size,
  electrode_distance, dead_space_distance, diffusion_coefficient, duration)

Arguments

vmax	For Michaelis-Menten correction of uptake. Microns per second.
km	For Michaelis-Menten. Microns.
release	Concentration in micromoles.
pulses	Count of pulses in the pulse train.
pulse_freq	Pulse frequency in Hz.
bin_size	Spacing of the modelled release bins in microns.
electrode_distance	Distance from the electrode to the last bin in microns.
dead_space_distance	Distance in microns of one side of the dead space measured from the electrode.
diffusion_coefficient	Diffusion constant in square centimeters per second.
duration	Span of time for modelling release diffusion measured in seconds.

Details

Given a pulse train, the function prorates the given release evenly to the nearest appropriate time iteration.

Resolution of the matrix can be customized with the parameters bin_size and electrode_distance.

The function supports an assumption of dead space at the insertion point of the electrode.

Value

rw_df. Data frame of the modelled random walk. The first column is rw_df$time_sec, the time in seconds of the iteration. The results reside in the values modelled at the location of the electrode in column rw_df$electrode.

pnojai/rwalk documentation built on Nov. 12, 2019, 7:42 a.m.