R/gtoxObjGnls.R

In GladiaTOX: R Package for Processing High Content Screening data

#####################################################################
## This program is distributed in the hope that it will be useful, ##
## but WITHOUT ANY WARRANTY; without even the implied warranty of  ##
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the    ##
## GNU General Public License for more details.                    ##
#####################################################################

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# gtoxObjGnls: Generate a gain-loss model objective function to optimize
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#' @rdname Models
#'
#' @examples 
#' 
#' ## Load level 3 data for an assay endpoint ID
#' dat <- gtoxLoadData(lvl=3L, type="mc", fld="aeid", val=2L)
#' 
#' ## Compute fitting log-likelyhood
#' gtoxObjGnls(p=c(rep(0.5,5),1e-3), lconc=dat$logc, resp=dat$resp)
#'
#' @section Gain-Loss Model (gnls):
#' \code{gtoxObjGnls} calculates the likelyhood for a 5 parameter model as the
#' product of two Hill models with the same top and both bottoms equal to 0.
#' The parameters passed to \code{gtoxObjGnls} by \code{p} are (in order) top
#' (\eqn{\mathit{tp}}), gain log AC50 (\eqn{\mathit{ga}}), gain hill coefficient
#' (\eqn{gw}), loss log AC50 \eqn{\mathit{la}}, loss hill coefficient 
#' \eqn{\mathit{lw}}, and the scale term (\eqn{\sigma}). The gain-loss model 
#' value \eqn{\mu_{i}}{\mu[i]} for the \eqn{i^{th}}{ith} observation is given 
#' by:
#' \deqn{
#' g_{i} = \frac{1}{1 + 10^{(\mathit{ga} - x_{i})\mathit{gw}}}
#' }{
#' g[i] = 1/(1 + 10^(ga - x[i])*gw)}
#' \deqn{
#' l_{i} = \frac{1}{1 + 10^{(x_{i} - \mathit{la})\mathit{lw}}}
#' }{
#' l[i] = 1/(1 + 10^(x[i] - la)*lw)}
#' \deqn{\mu_{i} = \mathit{tp}(g_{i})(l_{i})}{\mu[i] = tp*g[i]*l[i]}
#' where \eqn{x_{i}}{x[i]} is the log concentration for the \eqn{i^{th}}{ith}
#' observation.
#'
#' @importFrom stats dt
#' @export

gtoxObjGnls <- function(p, lconc, resp) {

    ## This function takes creates an objective function to be optimized using
    ## the starting gain-loss parameters, log concentration, and response.
    ##
    ## Arguments:
    ##   p:     a numeric vector of length 6 containg the starting values for
    ##          the gain-loss model, in order: top, gain log AC50, gain hill
    ##          coefficient, loss log AC50, loss hill coefficient and log error
    ##          term
    ##   lconc: a numeric vector containing the log concentration values to
    ##          produce the objective function
    ##   resp: a numeric vector containing the response values to produce the
    ##          objective function
    ##
    ## Value:
    ##   An objective function for the gain-loss model and the given conc-resp
    ##   data

    gn <- 1/(1 + 10^((p[2] - lconc)*p[3]))
    ls <- 1/(1 + 10^((lconc - p[4])*p[5]))
    mu <- p[1]*gn*ls
    sum(dt((resp - mu)/exp(p[6]), df=4, log=TRUE) - p[6], na.rm=TRUE)

}

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