diff options
author | Johannes Ranke <jranke@uni-bremen.de> | 2019-10-25 00:37:42 +0200 |
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committer | Johannes Ranke <jranke@uni-bremen.de> | 2019-10-25 02:03:54 +0200 |
commit | 0a3eb0893cb4bd1b12f07a79069d1c7f5e991495 (patch) | |
tree | 1bf0ffeb710b3438fee224d0a657606b4c36b495 /R/SFORB.solution.R | |
parent | 053bf27d3f265c7a7378e2df3e00cf891e0d1bb2 (diff) |
Use roxygen for functions and methods
Diffstat (limited to 'R/SFORB.solution.R')
-rw-r--r-- | R/SFORB.solution.R | 44 |
1 files changed, 35 insertions, 9 deletions
diff --git a/R/SFORB.solution.R b/R/SFORB.solution.R index 4cb94def..2abe4577 100644 --- a/R/SFORB.solution.R +++ b/R/SFORB.solution.R @@ -1,9 +1,35 @@ -SFORB.solution = function(t, parent.0, k_12, k_21, k_1output) {
- sqrt_exp = sqrt(1/4 * (k_12 + k_21 + k_1output)^2 + k_12 * k_21 - (k_12 + k_1output) * k_21)
- b1 = 0.5 * (k_12 + k_21 + k_1output) + sqrt_exp
- b2 = 0.5 * (k_12 + k_21 + k_1output) - sqrt_exp
-
- parent = parent.0 *
- (((k_12 + k_21 - b1)/(b2 - b1)) * exp(-b1 * t) +
- ((k_12 + k_21 - b2)/(b1 - b2)) * exp(-b2 * t))
-}
+#' Single First-Order Reversible Binding kinetics +#' +#' Function describing the solution of the differential equations describing +#' the kinetic model with first-order terms for a two-way transfer from a free +#' to a bound fraction, and a first-order degradation term for the free +#' fraction. The initial condition is a defined amount in the free fraction +#' and no substance in the bound fraction. +#' +#' @param t Time. +#' @param parent.0 Starting value for the response variable at time zero. +#' @param k_12 Kinetic constant describing transfer from free to bound. +#' @param k_21 Kinetic constant describing transfer from bound to free. +#' @param k_1output Kinetic constant describing degradation of the free +#' fraction. +#' @return The value of the response variable, which is the sum of free and +#' bound fractions at time \code{t}. +#' @references FOCUS (2006) \dQuote{Guidance Document on Estimating Persistence +#' and Degradation Kinetics from Environmental Fate Studies on Pesticides in +#' EU Registration} Report of the FOCUS Work Group on Degradation Kinetics, +#' EC Document Reference Sanco/10058/2005 version 2.0, 434 pp, +#' \url{http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics} +#' @examples +#' +#' \dontrun{plot(function(x) SFORB.solution(x, 100, 0.5, 2, 3), 0, 2)} +#' +#' @export +SFORB.solution = function(t, parent.0, k_12, k_21, k_1output) { + sqrt_exp = sqrt(1/4 * (k_12 + k_21 + k_1output)^2 + k_12 * k_21 - (k_12 + k_1output) * k_21) + b1 = 0.5 * (k_12 + k_21 + k_1output) + sqrt_exp + b2 = 0.5 * (k_12 + k_21 + k_1output) - sqrt_exp + + parent = parent.0 * + (((k_12 + k_21 - b1)/(b2 - b1)) * exp(-b1 * t) + + ((k_12 + k_21 - b2)/(b1 - b2)) * exp(-b2 * t)) +} |