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+# $Id$
+# Some of the CAKE R modules are based on mkin, 
+# Developed by Tessella Ltd for Syngenta: Copyright (C) 2011-2016 Syngenta
+# Tessella Project Reference: 6245, 7247, 8361, 7414
+
+#    The CAKE R modules are free software: you can redistribute it and/or modify
+#    it under the terms of the GNU General Public License as published by
+#    the Free Software Foundation, either version 3 of the License, or
+#    (at your option) any later version.
+# 
+#    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.
+# 
+#    You should have received a copy of the GNU General Public License
+#    along with this program.  If not, see <http://www.gnu.org/licenses/>.
+
+# Produces solutions to the SFO equation given times t and parameters M_0 and k.
+SFO.solution <- function(t, parent.0, k) {
+  parent = parent.0 * exp(-k * t)
+}
+
+# Produces solutions to the DFOP equation given times t and parameters M_0, k1, k2 and g.
+DFOP.solution <- function(t, parent.0, k1, k2, g) {
+  parent = g * parent.0 * exp(-k1 * t) + (1 - g) * parent.0 * exp(-k2 * t)
+}
+
+# Produces solutions to the FOMC equation given times t and parameters M_0, alpha and beta.
+FOMC.solution <- function(t, parent.0, alpha, beta) {
+  parent = parent.0/(t/beta + 1)^alpha
+}
+
+# Produces solutions to the HS equation given times t and parameters M_0, k1, k2 and tb.
+HS.solution <- function (t, parent.0, k1, k2, tb) {
+  parent = ifelse(t <= tb, parent.0 * exp(-k1 * t), parent.0 * exp(-k1 * tb) * exp(-k2 * (t - tb)))
+}
+
+# Produces solutions to the IORE equation given times t and parameters M_0, k and N.
+IORE.solution <- function(t, parent.0, k, N) {
+  parent = (parent.0^(1 - N) - (1 - N) * k * t)^(1/(1-N))
+}
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