# Copyright (C) 2020 David J. Wooten
#
# This program is 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/>.
from typing import Type
import numpy as np
from synergy.exceptions import InvalidDrugModelError
from synergy.higher.synergy_model_Nd import DoseDependentSynergyModelND
from synergy.single.dose_response_model_1d import DoseResponseModel1D
from synergy.single.hill import Hill
[docs]class Schindler(DoseDependentSynergyModelND):
"""Schindler's multidimensional Hill equation model."""
[docs] def E_reference(self, d):
if not self.is_specified:
raise InvalidDrugModelError("Model is not specified.")
E0 = 0
for single in self.single_drug_models:
E0 += single.E0 / self.N
with np.errstate(divide="ignore", invalid="ignore"):
# Schindler assumes drugs start at 0 and go up to Emax
uE_model = self._model(d, E0)
uE_model[np.where(d.sum(axis=1) == 0)] = 0 # shindler(d=0) is nan, but we know is really 0
return E0 - uE_model
def _get_synergy(self, d, E):
# E0 = 0
# for single in self.single_drug_models:
# E0 += single.E0 / self.N
# uE = E0 - E
# return self._sanitize_synergy(d, uE - self.reference, 0)
synergy = self.reference - E
return self._sanitize_synergy(d, synergy, 0)
def _model(self, d, E0):
"""The synergy model.
E - u_hill = 0 : Additive
E - u_hill > 0 : Synergistic
E - u_hill < 0 : Antagonistic
"""
h = np.asarray([model.h for model in self.single_drug_models]) # len == N
C = np.asarray([model.C for model in self.single_drug_models]) # len == N
Emax = E0 - np.asarray([model.Emax for model in self.single_drug_models]) # len == N
m = d / C # shape == (n_points, N)
msum = m.sum(axis=1) # len == n_points
y = (h * m).sum(axis=1) / msum # len == n_points
u_max = (Emax * m).sum(axis=1) / msum # len == n_points
power = np.float_power(msum, y) # len == n_points
return u_max * power / (1.0 + power)
@property
def _required_single_drug_class(self) -> Type[DoseResponseModel1D]:
return Hill
@property
def _default_single_drug_class(self) -> Type[DoseResponseModel1D]:
return Hill