displacementCDF {sojourner} | R Documentation

## displacementCDF

### Description

calculate cumulative distribution function of all displacement for individual trajectories.

### Usage

    displacementCDF(trackll,dt=1,resolution=0.107,plot=FALSE,output=FALSE,
    bivar=FALSE)

### Arguments

`dt` | Time intervals.
`resolution` | ratio of pixel to uM.
`bivar` | bivar=FALSE, view displacement r as single variable; bivar=TRUE, view x,y as bivarate. Default value F.
`trackll` | a list of track lists.
`plot` | An logical indicate if plot should be generated. See Values for detail.
`output` | An logical indicate if output should be generated. See Values for detail.

### Details

The cumulative radial distribution function, P(r, i*dt), is the probability of finding the diffusing particle within a radius r from the origin at time lag i*dt:

P(r,i*dt) = 1 - e^(-r^2/4*D*(i*dt))

the CDF and UniqueDisplacement in the output file is corresponding to P and r in this formula. If intend to generate the CDF plot from the output file, the CDF and UniqueDisplacement is corresponding to the y and x values in the CDF output plot.

### Value

- list of "stepwise.displacement" and "CDF.displacement", A list of stepwise.displacement" and "CDF.displacement". the name of the list is the track folder name.

- Output file, Displacement of individual trajectoreis at specified dt. The output file is for user to plot in other applications. The column "UniqueDisplacement" is the x axis, and column "CDF" is the y axis for a CDF plot. The distribution of "UniqueDisplacement" is the density plot.

- CDF plot, CDF plot of displacement for individual files.

### Examples

    folder1=system.file("extdata","SWR1",package="sojourner")
    folder2=system.file("extdata","HTZ1",package="sojourner")
    trackll=compareFolder(folders=c(folder1,folder2), input=3)
    displacementCDF(trackll,dt=1,plot=TRUE)

[Package sojourner version 1.4.2 Index]