SquareBurst: Generation of a Square-wave Burst Signal

In OscillatorGenerator: Generation of Customizable, Discretized Time Series of Oscillating Species

Description

This function takes in numeric arguments for a customizable, square-wave burst shape. Each oscillation cycle is separated into three phases: a primary active phase, in which the oscillator resides at peak concentration, a secondary active phase, in which the oscillator stays at secondary peak concentration and an inactive phase, in which the oscillator is fixed to baseline concentration. A discretized time course is returned.

Usage

SquareBurst(baseline, peak, period, duty_cycle, sec_duty_cycle, sec_peak, trend,
  duration, resolution)

Arguments

baseline	minimal oscillation value
peak	maximal oscillation value
period	oscillation period of the oscillating species (reciprocal of the frequency)
duty_cycle	ratio of the active phase (oscillator above baseline) to the total oscillation period
sec_duty_cycle	ratio of the primary active phase (time interval from cycle start till reaching of the secondary peak level) to the total active phase
sec_peak	intermediary value reached after the end of the primary active phase
trend	percental decrease or increase in the peak and secondary peak values for the successive oscillation cycles; if set to 1, values remain unchanged
duration	duration of the generated time course
resolution	temporal resolution of the generated time course

Details

Standards:

• peak and sec_peak must be larger than baseline

• duration must be larger than resolution

• duration must be a multiple of the resolution

• period must be a multiple of resolution

• duration, resolution, peak, sec_peak and period must be larger than 0

• baseline must be larger or equal to 0

• duty_cycle must be larger than 0 and smaller or equal to 1

• sec_duty_cycle must be larger than 0 and smaller or equal to 1

• trend must be larger than 0

Value

Returns a matrix with two columns: a time vector and an oscillator abundance vector.

Examples

# test effect of changes in period
m1 = SquareBurst(baseline = 200, peak = 1000, period = 50, duty_cycle = 0.6,
sec_duty_cycle = 0.5, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)
m2 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.6,
sec_duty_cycle = 0.5, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)
m3 = SquareBurst(baseline = 200, peak = 1000, period = 200, duty_cycle = 0.6,
sec_duty_cycle = 0.5, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)

par(mfrow = c(3,1))
plot(m1, type = "l", xlab = "time", ylab = "abundance")
plot(m2, type = "l", xlab = "time", ylab = "abundance")
plot(m3, type = "l", xlab = "time", ylab = "abundance")

# test effect of changes in duty_cycle
m1 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.3,
sec_duty_cycle = 0.5, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)
m2 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.6,
sec_duty_cycle = 0.5, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)
m3 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.9,
sec_duty_cycle = 0.5, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)

par(mfrow = c(3,1))
plot(m1, type = "l", xlab = "time", ylab = "abundance")
plot(m2, type = "l", xlab = "time", ylab = "abundance")
plot(m3, type = "l", xlab = "time", ylab = "abundance")

# test effect of changes in sec_duty_cycle
m1 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.6,
sec_duty_cycle = 0.3, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)
m2 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.6,
sec_duty_cycle = 0.6, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)
m3 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.6,
sec_duty_cycle = 0.9, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)

par(mfrow = c(3,1))
plot(m1, type = "l", xlab = "time", ylab = "abundance")
plot(m2, type = "l", xlab = "time", ylab = "abundance")
plot(m3, type = "l", xlab = "time", ylab = "abundance")

# test effect of changes in trend
m1 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.6,
sec_duty_cycle = 0.6, sec_peak = 700, trend = 0.7, duration = 500, resolution = 0.1)
m2 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.6,
sec_duty_cycle = 0.6, sec_peak = 700, trend = 1, duration = 500, resolution = 0.1)
m3 = SquareBurst(baseline = 200, peak = 1000, period = 100, duty_cycle = 0.6,
sec_duty_cycle = 0.6, sec_peak = 700, trend = 1.3, duration = 500, resolution = 0.1)

par(mfrow = c(3,1))
plot(m1, type = "l", xlab = "time", ylab = "abundance")
plot(m2, type = "l", xlab = "time", ylab = "abundance")
plot(m3, type = "l", xlab = "time", ylab = "abundance")

OscillatorGenerator documentation built on May 2, 2019, 7:59 a.m.