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* 'master' of github.com:natverse/nat: Another delta remove spurious inheritParams remove Greek delta Made changes to morphometry file to pass Rmd Check Documentation for new morphometry functions Added resample.neuronlist Added sholl_analysis Added overlap function Update utils.R
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# Functions for morphological analysis | ||
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#' Generate a connectivity matrix based on euclidean distance between points | ||
#' | ||
#' @description Generates an 'overlap matrix' of overlap scores between neurons in the \code{outputneurons} and \code{inputneurons} pools. | ||
#' For every point in a given neuron in \code{outputneurons}, a distance score is calculated to every point in a neuron in \code{inputneurons}. | ||
#' The sum of this score is added to the final output matrix. The score is calculated as \code{e(-d^2/(2*delta^2))}, where d is the euclidean distance between the two points, | ||
#' and delta is the expected distance in um that is considered 'close'. It is recommended that the user resamples neurons before use, using \code{\link{resample}}. | ||
#' | ||
#' @param outputneurons first set of neurons | ||
#' @param inputneurons second set of neurons | ||
#' @param delta the distance (in um) at which a synapse might occur | ||
#' @param progress whether or not to have a progress bar | ||
#' | ||
#' @examples | ||
#' \dontrun{ | ||
#' # Calculate how much some neurons overlap with one another | ||
#' ## Example requires the package nat.flybrains | ||
#' Cell07PNs_overlap = overlap_score(outputneurons = Cell07PNs, inputneurons = Cell07PNs) | ||
#' | ||
#' ## Plot the results | ||
#' heatmap(Cell07PNs_overlap) | ||
#' } | ||
#' @return a matrix of overlap scores | ||
#' @seealso \code{\link{potential_synapses}}, \code{\link{resample}} | ||
#' @export | ||
overlap_score <- function(outputneurons, inputneurons, | ||
delta =1, progress = TRUE){ | ||
score.matrix = matrix(0,nrow = length(outputneurons),ncol = length(inputneurons)) | ||
rownames(score.matrix) = names(outputneurons) | ||
colnames(score.matrix) = names(inputneurons) | ||
for (n in 1:length(outputneurons)){ | ||
a = xyzmatrix(outputneurons[[n]]) | ||
inputneurons.d = nlapply(inputneurons, xyzmatrix, .progress = "none") | ||
s = sapply(inputneurons.d, function(x)sum(exp(-nabor::knn(query = a, data = x,k=nrow(x))$nn.dists^2/(2*delta^2)))) # Score similar to that in Schlegel et al. 2015 | ||
score.matrix[n,] = s | ||
if(progress){ | ||
nat_progress(x = n/length(outputneurons)*100, message = "calculating overlap") | ||
} | ||
} | ||
score.matrix | ||
} | ||
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#' Perform a sholl analysis on neuron skeletons | ||
#' | ||
#' @description Functions for Sholl analysis of neuronal skeletons | ||
#' | ||
#' @param x a neuron or neuronlist object | ||
#' @param start the origin from which spheres are grown for the Sholl analysis | ||
#' @param starting.radius the radius of the first sphere. Defaults to the radius step | ||
#' @param ending.radius the radius of the last sphere. If NULL the distance to the furthest dendritic point from the start point is taken | ||
#' @param radius.step the change in radius between successive spheres. Defaults to one 100th of the radius of the ending sphere | ||
#' @return a data.frame of spheres radii and the number of dendritic intersections at each radius | ||
#' @examples | ||
#' \dontrun{ | ||
#' # Calculate how much some neurons overlap with one another | ||
#' ## Example requires the package nat.flybrains | ||
#' Cell07PNs_sholl = sholl_analysis(x = Cell07PNs, radius.step = 1, ending.radius = 100) | ||
#' head(Cell07PNs_sholl[[1]]) | ||
#' } | ||
#' @export | ||
#' @rdname sholl_analysis | ||
sholl_analysis <- function(x, start = colMeans(xyzmatrix(x)), | ||
starting.radius = radius.step, ending.radius = 1000, | ||
radius.step = ending.radius/100) UseMethod("sholl_analysis") | ||
#' @export | ||
#' @rdname sholl_analysis | ||
sholl_analysis.neuron <- function(x, start = colMeans(xyzmatrix(x)), | ||
starting.radius = radius.step, ending.radius = 1000, | ||
radius.step = ending.radius/100){ | ||
unit.vector <- function(x) {x / sqrt(sum(x^2))} | ||
dend = x$d | ||
dend$dists = nabor::knn(data = matrix(start,ncol=3), query = nat::xyzmatrix(x),k=1)$nn.dists | ||
if(is.null(ending.radius)){ | ||
ending.radius = max(dend$dists) | ||
} | ||
radii = seq(from = starting.radius, to = ending.radius, by = radius.step) | ||
sholl = data.frame(radii = radii, intersections = 0) | ||
for(n in 1:length(radii)){ | ||
r = radii[n] | ||
segments = x$SegList | ||
for(segment in segments){ | ||
p = dend[segment,] | ||
dists = (nabor::knn(data = matrix(start,ncol=3), query = nat::xyzmatrix(p),k=1)$nn.dists - r) >= 0 | ||
sholl[n,]$intersections = sholl[n,]$intersections + lengths(regmatches(paste(dists,collapse=""), gregexpr("TRUEFALSE|FALSETRUE", paste(dists,collapse="")))) | ||
} | ||
} | ||
sholl | ||
} | ||
#' @export | ||
#' @rdname sholl_analysis | ||
sholl_analysis.neuronlist <- function(x, start = colMeans(xyzmatrix(x)), | ||
starting.radius = radius.step, ending.radius = 1000, | ||
radius.step = ending.radius/100){ | ||
nlapply(x, sholl_analysis.neuron, | ||
start = start, starting.radius = starting.radius, ending.radius = ending.radius, radius.step = radius.step) | ||
} |
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