R/dsdx_asymp_inverse.R

In Dahaniel/DoOR.functions: Integrating Heterogeneous Odorant Response Data into a Common Response Model: A DoOR to the Complete Olfactome

# Leibniz's notation for computing the curvic length on inverse Asymptotic
# Model
#
# Leibniz's notation for computing the curvic length on inverse Asymptotic
# Model
#
# expression : sqrt(1+(-(1/(R0 - Asym)/(input - Asym)/(R0 -
# Asym)/exp(lrc)))^2)
#
# @param input numeric vector of data values
# @param parms numeric vector, parameters with given names: "Asym", "lrc",
# "R0"
# @seealso \code{\link{SSasymp}}
# @references Jose Pinheiro and Douglas Bates
# @keywords math
# @examples
#
# x <-  seq(0.1,1,length=20)
# parms <- c(Asym = 2, R0 = 0.2, lrc = 0.3)
# integrate(function(x) { dsdx_asymp_inverse(input = x, parms = parms ) }, 
# lower = 0, upper = 0.5)
#
#' @importFrom stats integrate
dsdx_asymp_inverse <- function(input, parms) {
  .value <-
    sqrt(1 + (-(
      1 / (parms["R0"] - parms["Asym"]) / (input - parms["Asym"]) / 
        (parms["R0"] - parms["Asym"]) /
        exp(parms["lrc"])
    )) ^ 2)
  .value
}