def __init__(self, model_name="cylinder_demo3d"):
pyurdme.URDMEModel.__init__(self, model_name)
# System constants
D_const = 0.1
# Define Species
A = pyurdme.Species(name="A", diffusion_constant=D_const)
B = pyurdme.Species(name="B", diffusion_constant=D_const)
self.add_species([A, B])
# Define Geometry
pt1 = dolfin.Point(MAX_X_DIM, 0, 0)
pt2 = dolfin.Point(MIN_X_DIM, 0, 0)
cylinder = mshr.Cylinder(pt1, pt2, 1.0, 1.0)
self.mesh = pyurdme.URDMEMesh(mesh=mshr.generate_mesh(cylinder, 32))
# Define Subdomains
self.add_subdomain(Edge1(), 2)
self.add_subdomain(Edge2(), 3)
data = self.get_solver_datastructure()
vol = data['vol']
sd = data['sd']
left = numpy.sum(vol[sd == 2])
right = numpy.sum(vol[sd == 3])
k_react = pyurdme.Parameter(name="k_react", expression=1.0)
k_creat1 = pyurdme.Parameter(name="k_creat1", expression=100 / right)
k_creat2 = pyurdme.Parameter(name="k_creat2", expression=100 / left)
self.add_parameter([k_react, k_creat1, k_creat2])
# Define Reactions
R1 = pyurdme.Reaction(name="R1",
reactants=None,
products={A: 1},
rate=k_creat1,
restrict_to=2)
R2 = pyurdme.Reaction(name="R2",
reactants=None,
products={B: 1},
rate=k_creat2,
restrict_to=3)
R3 = pyurdme.Reaction(name="R3",
reactants={
A: 1,
B: 1
},
products=None,
rate=k_react)
self.add_reaction([R1, R2, R3])
# Define simulation timespan
self.timespan(range(200))
def _translate_parameters(model, param_values=None):
# Error check
if param_values is not None and len(param_values) != len(model.parameters):
raise Exception("len(param_values) must equal len(model.parameters)")
unused = model.parameters_unused()
param_list = (len(model.parameters)-len(unused)) * [None]
count = 0
for i,p in enumerate(model.parameters):
if p not in unused:
if param_values is not None:
val=param_values[i]
else:
val=p.value
param_list[count] = pyurdme.Parameter(name=p.name, expression=val)
count += 1
return param_list
def __init__(self):
pyurdme.URDMEModel.__init__(self, name="simple_diffusion2")
A = pyurdme.Species(name="A", diffusion_constant=0.1, dimension=2)
B = pyurdme.Species(name="B", diffusion_constant=0.1, dimension=1)
self.add_species([A, B])
# Import a circle mesh
self.mesh = pyurdme.URDMEMesh.read_dolfin_mesh("circle.xml")
# A mesh function for the cells
cell_function = dolfin.CellFunction("size_t", self.mesh)
cell_function.set_all(1)
# Create a mesh function over then edges of the mesh
facet_function = dolfin.FacetFunction("size_t", self.mesh)
facet_function.set_all(0)
# Mark the boundary points
membrane = Membrane()
membrane.mark(facet_function, 2)
membrane_patch = MembranePatch()
membrane_patch.mark(facet_function, 3)
self.add_subdomain(cell_function)
self.add_subdomain(facet_function)
k1 = pyurdme.Parameter(name="k1", expression=100.0)
self.add_parameter([k1])
R1 = pyurdme.Reaction(name="R1",
reactants={A: 1},
products={B: 1},
massaction=True,
rate=k1,
restrict_to=3)
self.add_reaction([R1])
# Restrict species B to the membrane subdomain
self.restrict(species=B, subdomains=[2, 3])
self.timespan(numpy.linspace(0, 1, 50))
# Place the A molecules in the voxel nearest to the center of the square
self.set_initial_condition_place_near({A: 10000}, point=[0, 0])
def construct_pyurdme_model(self, data):
'''
'''
json_model_refs = ModelManager.getModel(
self, int(data["id"])
) # data["id"] is the model id of the selected model I think
stochkit_model_obj = StochKitModelWrapper.get_by_id(int(
data["id"])).createStochKitModel()
#print 'json_model_refs["spatial"]["mesh_wrapper_id"]:', json_model_refs["spatial"]["mesh_wrapper_id"]
try:
meshWrapperDb = mesheditor.MeshWrapper.get_by_id(
json_model_refs["spatial"]["mesh_wrapper_id"])
except Exception as e:
raise Exception(
"No Mesh file set. Choose one in the Mesh tab of the Model Editor"
)
try:
meshFileObj = fileserver.FileManager.getFile(
self, meshWrapperDb.meshFileId)
mesh_filename = meshFileObj["storePath"]
except IOError as e:
#blowup here, need a mesh
#self.response.write(json.dumps({"status" : False,
# "msg" : "No Mesh file given"}))
#return
raise Exception("Mesh file inaccessible. Try another mesh")
#TODO: if we get advanced options, we don't need a mesh
reaction_subdomain_assigments = json_model_refs["spatial"][
"reactions_subdomain_assignments"] #e.g. {'R1':[1,2,3]}
species_subdomain_assigments = json_model_refs["spatial"][
"species_subdomain_assignments"] #e.g. {'S1':[1,2,3]}
species_diffusion_coefficients = json_model_refs["spatial"][
"species_diffusion_coefficients"] #e.g. {'S1':0.5}
initial_conditions = json_model_refs["spatial"][
"initial_conditions"] #e.g. { ic0 : { type : "place", species : "S0", x : 5.0, y : 10.0, z : 1.0, count : 5000 }, ic1 : { type : "scatter",species : "S0", subdomain : 1, count : 100 }, ic2 : { type : "distribute",species : "S0", subdomain : 2, count : 100 } }
for species in stochkit_model_obj.listOfSpecies:
if species not in species_diffusion_coefficients:
raise Exception(
"Species '{0}' does not have a diffusion coefficient set. Please do that in the Species tab of the Model Editor"
.format(species))
simulation_end_time = data['time']
simulation_time_increment = data['increment']
simulation_algorithm = data[
'algorithm'] # Don't trust this! I haven't implemented the algorithm selection for this yet
simulation_exec_type = data[
'execType'] # This should contain 'spatial' -- Not that you really need it, only spatial requests will be routed here
simulation_realizations = data['realizations']
simulation_seed = data[
'seed'] # If this is set to -1, it means choose a seed at random! (Whatever that means)
#### Construct the PyURDME object from the Stockkit model and mesh and other inputs
try:
# model
pymodel = pyurdme.URDMEModel(name=stochkit_model_obj.name)
# mesh
pymodel.mesh = pyurdme.URDMEMesh.read_dolfin_mesh(
str(mesh_filename))
# timespan
pymodel.timespan(
numpy.arange(0,
simulation_end_time + simulation_time_increment,
simulation_time_increment))
# subdomains
if len(meshWrapperDb.subdomains) > 0:
pymodel.set_subdomain_vector(
numpy.array(meshWrapperDb.subdomains))
# species
for s in stochkit_model_obj.listOfSpecies:
pymodel.add_species(
pyurdme.Species(name=s,
diffusion_constant=float(
species_diffusion_coefficients[s])))
# species subdomain restriction
for s, sd_list in species_subdomain_assigments.iteritems():
spec = pymodel.listOfSpecies[s]
pymodel.restrict(spec, sd_list)
# parameters
for p_name, p in stochkit_model_obj.listOfParameters.iteritems():
pymodel.add_parameter(
pyurdme.Parameter(name=p_name, expression=p.expression))
# reactions
for r_name, r in stochkit_model_obj.listOfReactions.iteritems():
if r.massaction:
pymodel.add_reaction(
pyurdme.Reaction(name=r_name,
reactants=r.reactants,
products=r.products,
rate=r.marate,
massaction=True))
else:
pymodel.add_reaction(
pyurdme.Reaction(
name=r_name,
reactants=r.reactants,
products=r.products,
propensity_function=r.propensity_function))
# reaction subdomain restrictions
for r in reaction_subdomain_assigments:
pymodel.listOfReactions[
r].restrict_to = reaction_subdomain_assigments[r]
# Initial Conditions
# initial_conditions = json_model_refs["spatial"]["initial_conditions"] #e.g. { ic0 : { type : "place", species : "S0", x : 5.0, y : 10.0, z : 1.0, count : 5000 }, ic1 : { type : "scatter",species : "S0", subdomain : 1, count : 100 }, ic2 : { type : "distribute",species : "S0", subdomain : 2, count : 100 } }
for ic in initial_conditions:
spec = pymodel.listOfSpecies[ic['species']]
if ic['type'] == "place":
pymodel.set_initial_condition_place_near(
{spec: int(ic['count'])},
point=[float(ic['x']),
float(ic['y']),
float(ic['z'])])
elif ic['type'] == "scatter":
pymodel.set_initial_condition_scatter(
{spec: int(ic['count'])},
subdomains=[int(ic['subdomain'])])
elif ic['type'] == "distribute":
pymodel.set_initial_condition_distribute_uniformly(
{spec: int(ic['count'])},
subdomains=[int(ic['subdomain'])])
else:
#self.response.write(json.dumps({"status" : False,
# "msg" : "Unknown initial condition type {0}".format(ic['type'])}))
#return
raise Exception(
"Unknown initial condition type {0}".format(
ic['type']))
except Exception as e:
raise Exception("Error while assembling the model: {0}".format(e))
return pymodel
def __init__(self, **kwargs):
modelType = self.json_data["modelType"]
species = self.json_data["species"]
parameters = self.json_data["parameters"]
reactions = self.json_data["reactions"]
maxTime = self.json_data["maxTime"]
if maxTime is None:
maxTime = 100
increment = self.json_data["increment"]
if increment is None:
increment = 1
reaction_subdomain_assignments = self.json_data[
"reaction_subdomain_assignments"] # e.g. {'R1':[1,2,3]}
species_subdomain_assignments = self.json_data[
"species_subdomain_assignments"] # e.g. {'S1':[1,2,3]}
species_diffusion_coefficients = self.json_data[
"species_diffusion_coefficients"] # e.g. {'S1':0.5}
initial_conditions = self.json_data[
"initial_conditions"] # e.g. { ic0 : { type : "place", species : "S0", x : 5.0, y : 10.0, z : 1.0, count : 5000 }, ic1 : { type : "scatter",species : "S0", subdomain : 1, count : 100 }, ic2 : { type : "distribute",species : "S0", subdomain : 2, count : 100 } }
pyurdme.URDMEModel.__init__(self, name=self.json_data["name"])
mesh_file = tempfile.NamedTemporaryFile(suffix='.xml')
mesh_file.write(self.json_data["mesh"])
mesh_file.seek(0)
self.mesh = pyurdme.URDMEMesh.read_dolfin_mesh(str(mesh_file.name))
self.set_subdomain_vector(numpy.array(
self.json_data["subdomains"]))
parameterByName = dict()
for parameter in parameters:
if parameter['name'] in kwargs:
parameterByName[parameter['name']] = pyurdme.Parameter(
name=parameter['name'],
expression=kwargs[parameter['name']])
else:
parameterByName[parameter['name']] = pyurdme.Parameter(
name=parameter['name'], expression=parameter['value'])
self.add_parameter(parameterByName[parameter['name']])
speciesByName = dict()
for specie in species:
speciesByName[specie['name']] = pyurdme.Species(
name=specie['name'],
diffusion_constant=float(
species_diffusion_coefficients[specie['name']]))
self.add_species(speciesByName[specie['name']])
for s, sd_list in species_subdomain_assignments.iteritems():
spec = self.listOfSpecies[s]
self.restrict(spec, sd_list)
for reaction in reactions:
inReactants = dict()
for reactant in reaction['reactants']:
if reactant['specie'] not in inReactants:
inReactants[reactant['specie']] = 0
inReactants[
reactant['specie']] += reactant['stoichiometry']
inProducts = dict()
for product in reaction['products']:
if product['specie'] not in inProducts:
inProducts[product['specie']] = 0
inProducts[product['specie']] += product['stoichiometry']
reactants = dict([(speciesByName[reactant[0]], reactant[1])
for reactant in inReactants.items()])
products = dict([(speciesByName[product[0]], product[1])
for product in inProducts.items()])
if (reaction['type'] == 'custom'):
self.add_reaction(
pyurdme.Reaction(
name=reaction['name'],
reactants=reactants,
products=products,
propensity_function=reaction['equation']))
else:
self.add_reaction(
pyurdme.Reaction(
name=reaction['name'],
reactants=reactants,
products=products,
rate=parameterByName[reaction['rate']]))
for r in reaction_subdomain_assignments:
self.listOfReactions[
r].restrict_to = reaction_subdomain_assignments[r]
for ic in initial_conditions:
spec = self.listOfSpecies[ic['species']]
if ic['type'] == "place":
self.set_initial_condition_place_near(
{spec: int(ic['count'])},
point=[float(ic['x']),
float(ic['y']),
float(ic['z'])])
elif ic['type'] == "scatter":
self.set_initial_condition_scatter(
{spec: int(ic['count'])},
subdomains=[int(ic['subdomain'])])
elif ic['type'] == "distribute":
self.set_initial_condition_distribute_uniformly(
{spec: int(ic['count'])},
subdomains=[int(ic['subdomain'])])
else:
raise Exception(
"Unknown initial condition type {0}".format(
ic['type']))
self.timespan(
numpy.concatenate(
(numpy.arange(maxTime / increment) * increment, [maxTime
])))
def __init__(self, model_name="Hes1"):
#Base constructure
pyurdme.URDMEModel.__init__(self, model_name)
#Species
Pf = pyurdme.Species(name="Pf", diffusion_constant=0., dimension=3)
Po = pyurdme.Species(name="Po", diffusion_constant=0., dimension=3)
mRNA = pyurdme.Species(name="mRNA",
diffusion_constant=6.e-1,
dimension=3)
protein = pyurdme.Species(name="protein",
diffusion_constant=6.e-1,
dimension=3)
self.add_species([Pf, Po, mRNA, protein])
#Mesh
basedir = os.path.dirname(os.path.abspath(__file__))
self.mesh = pyurdme.URDMEMesh.read_mesh(basedir + "/mesh/cell.msh")
#Domains markers
nucleus = [2]
cytoplasm = [1]
promoter_site = [3]
#Domains
self.add_subdomain(Nucleus(), nucleus[0])
self.get_subdomain_vector()
self.sd[self.mesh.closest_vertex([0, 0, 0])] = promoter_site[0]
#Parameters
k1 = pyurdme.Parameter(name="k1", expression=1.e9)
k2 = pyurdme.Parameter(name="k2", expression=0.1)
alpha_m = pyurdme.Parameter(name="alpha_m", expression=3.)
alpha_m_gamma = pyurdme.Parameter(name="alpha_m_gamma",
expression=3. / 30.)
alpha_p = pyurdme.Parameter(name="alpha_p", expression=1.)
mu_m = pyurdme.Parameter(name="mu_m", expression=0.015)
mu_p = pyurdme.Parameter(name="mu_p", expression=0.043)
self.add_parameter(
[k1, k2, alpha_m, alpha_m_gamma, alpha_p, mu_m, mu_p])
#Reactions
R1 = pyurdme.Reaction(name="R1",
reactants={
Pf: 1,
protein: 1
},
products={Po: 1},
massaction=True,
rate=k1,
restrict_to=promoter_site)
R2 = pyurdme.Reaction(name="R2",
reactants={Po: 1},
products={
Pf: 1,
protein: 1
},
massaction=True,
rate=k2,
restrict_to=promoter_site)
R3 = pyurdme.Reaction(name="R3",
reactants={Pf: 1},
products={
Pf: 1,
mRNA: 1
},
massaction=True,
rate=alpha_m,
restrict_to=promoter_site)
R4 = pyurdme.Reaction(name="R4",
reactants={Po: 1},
products={
Po: 1,
mRNA: 1
},
massaction=True,
rate=alpha_m_gamma,
restrict_to=promoter_site)
R5 = pyurdme.Reaction(name="R5",
reactants={mRNA: 1},
products={
mRNA: 1,
protein: 1
},
massaction=True,
rate=alpha_p,
restrict_to=cytoplasm)
R6 = pyurdme.Reaction(name="R6",
reactants={mRNA: 1},
products={},
massaction=True,
rate=mu_m)
R7 = pyurdme.Reaction(name="R7",
reactants={protein: 1},
products={},
massaction=True,
rate=mu_p)
self.add_reaction([R1, R2, R3, R4, R5, R6, R7])
#Restrict to promoter_site
self.restrict(Po, promoter_site)
self.restrict(Pf, promoter_site)
#Distribute molecules over the mesh
self.set_initial_condition_scatter({Pf: 1}, promoter_site)
self.set_initial_condition_scatter({protein: 60}, cytoplasm)
self.set_initial_condition_scatter({mRNA: 10}, nucleus)
self.timespan(range(1200))
def __init__(self, model_name="G_protein_cycle_1D"):
pyurdme.URDMEModel.__init__(self, model_name)
# Species
# R RL G Ga Gbg Gd
R = pyurdme.Species(name="R", diffusion_constant=0.01)
RL = pyurdme.Species(name="RL", diffusion_constant=0.01)
G = pyurdme.Species(name="G", diffusion_constant=0.01)
Ga = pyurdme.Species(name="Ga", diffusion_constant=0.01)
Gbg = pyurdme.Species(name="Gbg", diffusion_constant=0.01)
Gd = pyurdme.Species(name="Gd", diffusion_constant=0.01)
self.add_species([R, RL, G, Ga, Gbg, Gd])
L = 4 * 3.14159
NUM_VOXEL = 200
MOLAR = 6.02e-01 * ((L / NUM_VOXEL)**3)
self.mesh = pyurdme.URDMEMesh.generate_interval_mesh(nx=NUM_VOXEL,
a=-2 * 3.14159,
b=2 * 3.14159,
periodic=True)
SA = pyurdme.Parameter(name="SA", expression=201.056)
V = pyurdme.Parameter(name="V", expression=33.5)
k_RL = pyurdme.Parameter(name="k_RL", expression=2e-03 / MOLAR)
k_RLm = pyurdme.Parameter(name="k_RLm", expression=1e-02)
k_Rs = pyurdme.Parameter(name="k_Rs", expression="4.0/SA")
k_Rd0 = pyurdme.Parameter(name="k_Rd0", expression=4e-04)
k_Rd1 = pyurdme.Parameter(name="k_Rd1", expression=4e-04)
k_G1 = pyurdme.Parameter(name="k_G1", expression="1.0*SA")
k_Ga = pyurdme.Parameter(name="k_Ga", expression="1e-06*SA")
k_Gd = pyurdme.Parameter(name="k_Gd", expression=0.1)
self.add_parameter(
[SA, V, k_RL, k_RLm, k_Rs, k_Rd0, k_Rd1, k_G1, k_Ga, k_Gd])
# Add Data Function to model the mating pheromone gradient.
self.add_data_function(
PheromoneGradient(a=-2 * 3.14159, b=2 * 3.14159, MOLAR=MOLAR))
# Reactions
R0 = pyurdme.Reaction(name="R0",
reactants={},
products={R: 1},
massaction=True,
rate=k_Rs)
R1 = pyurdme.Reaction(name="R1",
reactants={R: 1},
products={},
massaction=True,
rate=k_Rd0)
R2 = pyurdme.Reaction(
name="R2",
reactants={R: 1},
products={RL: 1},
propensity_function="k_RL*R*PheromoneGradient/vol")
R3 = pyurdme.Reaction(name="R3",
reactants={RL: 1},
products={R: 1},
massaction=True,
rate=k_RLm)
R4 = pyurdme.Reaction(name="R4",
reactants={RL: 1},
products={},
massaction=True,
rate=k_RLm)
R5 = pyurdme.Reaction(name="R5",
reactants={G: 1},
products={
Ga: 1,
Gbg: 1
},
propensity_function="k_Ga*RL*G/vol")
R6 = pyurdme.Reaction(name="R6",
reactants={Ga: 1},
products={Gd: 1},
massaction=True,
rate=k_Ga)
R7 = pyurdme.Reaction(name="R7",
reactants={
Gd: 1,
Gbg: 1
},
products={G: 1},
massaction=True,
rate=k_G1)
self.add_reaction([R0, R1, R2, R3, R4, R5, R6, R7])
# Distribute molecules randomly over the mesh according to their initial values
self.set_initial_condition_scatter({R: 10000})
self.set_initial_condition_scatter({G: 10000})
self.timespan(range(201))
def __init__(self, model_name="mincde"):
pyurdme.URDMEModel.__init__(self, model_name)
# Species
MinD_m = pyurdme.Species(name="MinD_m",
diffusion_constant=1e-14,
dimension=2)
MinD_c_atp = pyurdme.Species(name="MinD_c_atp",
diffusion_constant=2.5e-12,
dimension=3)
MinD_c_adp = pyurdme.Species(name="MinD_c_adp",
diffusion_constant=2.5e-12,
dimension=3)
MinD_e = pyurdme.Species(name="MinD_e",
diffusion_constant=2.5e-12,
dimension=3)
MinDE = pyurdme.Species(name="MinDE",
diffusion_constant=1e-14,
dimension=2)
self.add_species([MinD_m, MinD_c_atp, MinD_c_adp, MinD_e, MinDE])
# Make sure that we have the correct path to the mesh file even if we are not executing from the basedir.
basedir = os.path.dirname(os.path.abspath(__file__))
self.mesh = pyurdme.URDMEMesh.read_dolfin_mesh(basedir +
"/mesh/coli.xml")
interior = dolfin.CellFunction("size_t", self.mesh)
interior.set_all(1)
boundary = dolfin.FacetFunction("size_t", self.mesh)
boundary.set_all(0)
# Mark the boundary points
membrane = Membrane()
membrane.mark(boundary, 2)
self.add_subdomain(interior)
self.add_subdomain(boundary)
# Average mesh size to feed into the propensity functions
h = self.mesh.get_mesh_size()
self.add_data_function(MeshSize(self.mesh))
# Parameters
NA = pyurdme.Parameter(name="NA", expression=6.022e23)
sigma_d = pyurdme.Parameter(name="sigma_d", expression=2.5e-8)
sigma_dD = pyurdme.Parameter(name="sigma_dD", expression=0.0016e-18)
sigma_e = pyurdme.Parameter(name="sigma_e", expression=0.093e-18)
sigma_de = pyurdme.Parameter(name="sigma_de", expression=0.7)
sigma_dt = pyurdme.Parameter(name="sigma_dt", expression=1.0)
self.add_parameter(
[NA, sigma_d, sigma_dD, sigma_e, sigma_de, sigma_dt])
# List of Physical domain markers that match those in the Gmsh .geo file.
interior = [1]
boundary = [2]
# Reactions
R1 = pyurdme.Reaction(
name="R1",
reactants={MinD_c_atp: 1},
products={MinD_m: 1},
propensity_function="MinD_c_atp*sigma_d/MeshSize",
restrict_to=boundary)
R2 = pyurdme.Reaction(name="R2",
reactants={
MinD_c_atp: 1,
MinD_m: 1
},
products={MinD_m: 2},
massaction=True,
rate=sigma_dD)
R3 = pyurdme.Reaction(name="R3",
reactants={
MinD_m: 1,
MinD_e: 1
},
products={MinDE: 1},
massaction=True,
rate=sigma_e)
R4 = pyurdme.Reaction(name="R4",
reactants={MinDE: 1},
products={
MinD_c_adp: 1,
MinD_e: 1
},
massaction=True,
rate=sigma_de)
R5 = pyurdme.Reaction(name="R5",
reactants={MinD_c_adp: 1},
products={MinD_c_atp: 1},
massaction=True,
rate=sigma_dt)
R6 = pyurdme.Reaction(name="R6",
reactants={
MinDE: 1,
MinD_c_atp: 1
},
products={
MinD_m: 1,
MinDE: 1
},
massaction=True,
rate=sigma_dD)
self.add_reaction([R1, R2, R3, R4, R5, R6])
# Restrict to boundary
self.restrict(MinD_m, boundary)
self.restrict(MinDE, boundary)
# Distribute molecules over the mesh according to their initial values
self.set_initial_condition_scatter({MinD_c_adp: 4500})
self.set_initial_condition_scatter({MinD_e: 1575})
self.timespan(range(500))
def __init__(self, model_name="polarisome_1D"):
pyurdme.URDMEModel.__init__(self, model_name)
default_D = 0.0053
fast_D = 1000 * default_D
# Species
Bni1c = pyurdme.Species(name="Bni1c", diffusion_constant=fast_D)
Bni1m = pyurdme.Species(name="Bni1m", diffusion_constant=default_D)
Spa2c = pyurdme.Species(name="Spa2c", diffusion_constant=fast_D)
Spa2m = pyurdme.Species(name="Spa2m", diffusion_constant=default_D)
Actinc = pyurdme.Species(name="Actinc", diffusion_constant=fast_D)
Actinm = pyurdme.Species(name="Actinm", diffusion_constant=default_D)
self.add_species([Bni1c, Bni1m, Spa2c, Spa2m, Actinc, Actinm])
NUM_VOXEL = 160
self.mesh = pyurdme.URDMEMesh.generate_interval_mesh(nx=NUM_VOXEL,
a=-4 * numpy.pi,
b=4 * numpy.pi,
periodic=True)
Bon = pyurdme.Parameter(name="Bon", expression=1.6e-6)
Boff = pyurdme.Parameter(name="Boff", expression=0.25)
Bfb = pyurdme.Parameter(name="Bfb", expression=1.9e-5)
Aon = pyurdme.Parameter(name="Aon", expression=7.7e-5)
Aoff = pyurdme.Parameter(name="Aoff", expression=0.018)
Km = pyurdme.Parameter(name="Km", expression=3500)
Son = pyurdme.Parameter(name="Son", expression=0.16)
Soff = pyurdme.Parameter(name="Soff", expression=0.35)
self.add_parameter([Bon, Boff, Bfb, Aon, Aoff, Km, Son, Soff])
# Add Data Function to model the mating pheromone gradient.
self.add_data_function(Cdc42())
# Reactions
R0 = pyurdme.Reaction(name="R0",
reactants={Bni1c: 1},
products={Bni1m: 1},
propensity_function="Bon*Bni1c*NUM_VOXELS*Cdc42")
R1 = pyurdme.Reaction(name="R1",
reactants={Bni1m: 1},
products={Bni1c: 1},
massaction=True,
rate=Boff)
R2 = pyurdme.Reaction(
name="R2",
reactants={Actinc: 1},
products={Actinm: 1},
propensity_function="Aon*Bni1m*Actinc*NUM_VOXELS")
R3 = pyurdme.Reaction(name="R3",
reactants={Actinm: 1},
products={Actinc: 1},
propensity_function="Aoff*Km/(Km+Spa2m)*Actinm")
R4 = pyurdme.Reaction(
name="R4",
reactants={Spa2c: 1},
products={Spa2m: 1},
propensity_function="Son*Spa2c*NUM_VOXELS*Actinm")
R5 = pyurdme.Reaction(name="R5",
reactants={Spa2m: 1},
products={Spa2c: 1},
massaction=True,
rate=Soff)
R6 = pyurdme.Reaction(name="R6",
reactants={Bni1c: 1},
products={Bni1m: 1},
propensity_function="Bfb*Bni1c*NUM_VOXELS*Spa2m")
self.add_reaction([R0, R1, R2, R3, R4, R5, R6])
# Distribute molecules randomly over the mesh according to their initial values
self.set_initial_condition_scatter({Bni1c: 1000})
self.set_initial_condition_scatter({Spa2c: 5000})
self.set_initial_condition_scatter({Actinc: 40})
#self.timespan(range(0,3601,30))
self.timespan(range(0, 201, 10))
def __init__(self, name="coral_reef", D_c=1.0, D_m=1.0, version=1):
pyurdme.URDMEModel.__init__(self, name)
# Species
Coral = pyurdme.Species(name="Coral",diffusion_constant=0.0)
Coral_m = pyurdme.Species(name="Coral_m",diffusion_constant=D_c)
MA = pyurdme.Species(name="MA", diffusion_constant=0.0)
MA_m = pyurdme.Species(name="MA_m", diffusion_constant=D_m)
Turf = pyurdme.Species(name="Turf", diffusion_constant=0.0)
self.add_species([Coral, MA, Coral_m, MA_m, Turf])
# Parameters
phi_c = pyurdme.Parameter(name="phi_c", expression=0.0011) #1/year
phi_m = pyurdme.Parameter(name="phi_m", expression=0.001) #1/year
g_tc = pyurdme.Parameter(name="g_tc", expression=0.1) #1/year
g_tm = pyurdme.Parameter(name="g_tm", expression=0.2) #1/year
Gamma = pyurdme.Parameter(name="Gamma", expression=0.05)
dc = pyurdme.Parameter(name="dc", expression=0.05) #1/year
dm = pyurdme.Parameter(name="dm", expression=1.0) #1/year
#dm = pyurdme.Parameter(name="dm", expression=0.2) #1/year
phi_g = pyurdme.Parameter(name="psi_g", expression=0.0)
# Death rate of mobile propgules. Combine with diffusion to determine spread.
mu_c = pyurdme.Parameter(name="mu_c", expression=1.0) #1/year
mu_m = pyurdme.Parameter(name="mu_m", expression=1.0) #1/year
# mobile propogules destroyed by estabilished
alpha_c = pyurdme.Parameter(name="alpha_c", expression=0.1) #1/year
alpha_m = pyurdme.Parameter(name="alpha_m", expression=0.5) #1/year
# Production of mobile propogules
R_c = pyurdme.Parameter(name="R_c", expression=1.0) #1/year
R_m = pyurdme.Parameter(name="R_m", expression=1.0) #1/year
self.add_parameter([phi_c, phi_m, g_tc, g_tm, Gamma, dc, dm, phi_g, mu_c, mu_m, alpha_c, alpha_m, R_c, R_m])
# Reactions:
# C -> T : dc
self.add_reaction(pyurdme.Reaction(name="R3", reactants={Coral:1}, products={Turf:1}, rate=dc))
# MA -> T : dm
self.add_reaction(pyurdme.Reaction(name="R4", reactants={MA:1}, products={Turf:1}, rate=dm))
# T + C_m -> C : phi_c
self.add_reaction(pyurdme.Reaction(name="R5", reactants={Turf:1, Coral_m:1}, products={Coral:1}, rate=phi_c))
# T + MA_m -> MA : phi_m
self.add_reaction(pyurdme.Reaction(name="R6", reactants={Turf:1, MA_m:1}, products={MA:1}, rate=phi_m))
# C + T -> 2C : g_tc * exp(-1.0 * psi_g * MA / 100)
self.add_reaction(pyurdme.Reaction(name="R7", reactants={Turf:1, Coral:1}, products={Coral:2}, propensity_function="g_tc*Turf*Coral*exp(-1.0 * psi_g * MA / Space_per_voxel)/vol"))
# MA + T -> 2MA : g_tm
self.add_reaction(pyurdme.Reaction(name="R8", reactants={Turf:1, MA:1}, products={MA:2}, rate=g_tm))
# C + MA -> 2MA : Gamma * g_tm
self.add_reaction(pyurdme.Reaction(name="R9", reactants={Coral:1, MA:1}, products={MA:2}, propensity_function="g_tm*Gamma*Coral*MA/vol"))
# C -> C + C_m : R_c
self.add_reaction(pyurdme.Reaction(name="R10", reactants={Coral:1}, products={Coral:1, Coral_m:1}, rate=R_c))
# MA -> MA + MA_m : R_m
self.add_reaction(pyurdme.Reaction(name="R11", reactants={MA:1}, products={MA:1, MA_m:1}, rate=R_m))
# C_m -> 0 : mu_c
self.add_reaction(pyurdme.Reaction(name="R12", reactants={Coral_m:1}, products={}, rate=mu_c))
# MA_m -> 0 : mu_m
self.add_reaction(pyurdme.Reaction(name="R13", reactants={MA_m:1}, products={}, rate=mu_m))
# MA + C_m -> MA : alpha_c
self.add_reaction(pyurdme.Reaction(name="R14", reactants={MA:1, Coral_m:1}, products={MA:1}, rate=alpha_c))
# C + MA_m -> C : alpha_m
self.add_reaction(pyurdme.Reaction(name="R15", reactants={Coral:1, MA_m:1}, products={Coral:1}, rate=alpha_m))
# A unit square
# each grid point is 10cm x 10cm, domain is 5m x 5m
self.mesh = pyurdme.URDMEMesh.generate_square_mesh(L=5, nx=50, ny=50, periodic=True)
Space_per_voxel = 10
self.add_parameter(pyurdme.Parameter(name="Space_per_voxel", expression=Space_per_voxel)) #1/year
if True:
# Start with two colonys
self.set_initial_condition_distribute_uniformly({Turf:Space_per_voxel})
self.set_initial_condition_place_near({Coral:Space_per_voxel}, point=[1,1])
self.set_initial_condition_place_near({Turf:0}, point=[1,1])
self.set_initial_condition_place_near({MA:Space_per_voxel}, point=[4,4])
self.set_initial_condition_place_near({Turf:0}, point=[4,4])
else:
# Every voxel is the same
self.set_initial_condition_distribute_uniformly({Turf:0})
self.set_initial_condition_distribute_uniformly({Coral:Space_per_voxel-1})
self.set_initial_condition_distribute_uniformly({MA:1})
for vndx in range(self.u0.shape[1]):
tot = 0
for sndx, sname in enumerate(self.listOfSpecies):
tot += self.u0[sndx][vndx]
if tot > 100:
for sndx, sname in enumerate(self.listOfSpecies):
print "u0[{0}][{1}] = {2}".format(sname, vndx, self.u0[sndx][vndx])
#self.timespan(numpy.linspace(0,500,501)) #500 years
#self.timespan(numpy.linspace(0,5,72)) #5 years, by months
self.timespan(numpy.linspace(0,11,66)) #10 years, by 2 months
def __init__(self, model_name="hes1"):
pyurdme.URDMEModel.__init__(self, model_name)
#Species
Pf = pyurdme.Species(name="Pf", diffusion_constant=0., dimension=3)
Po = pyurdme.Species(name="Po", diffusion_constant=0., dimension=3)
mRNA = pyurdme.Species(name="mRNA",
diffusion_constant=6.e-1,
dimension=3)
protein = pyurdme.Species(name="protein",
diffusion_constant=6.e-1,
dimension=3)
self.add_species([Pf, Po, mRNA, protein])
#Domains
basedir = os.path.dirname(os.path.abspath(__file__))
self.mesh = pyurdme.URDMEMesh.read_mesh(basedir + "/mesh/cell.msh")
volumes = dolfin.MeshFunction(
"size_t", self.mesh, basedir + "/mesh/cell_physical_region.xml")
self.add_subdomain(volumes)
h = self.mesh.get_mesh_size()
self.add_data_function(MeshSize(self.mesh))
#Parameters
k1 = pyurdme.Parameter(name="k1", expression=1.e9)
k2 = pyurdme.Parameter(name="k2", expression=0.1)
alpha_m = pyurdme.Parameter(name="alpha_m", expression=3.)
alpha_m_gamma = pyurdme.Parameter(name="alpha_m_gamma",
expression=3. / 30.)
alpha_p = pyurdme.Parameter(name="alpha_p", expression=1.)
mu_m = pyurdme.Parameter(name="mu_m", expression=0.015)
mu_p = pyurdme.Parameter(name="mu_p", expression=0.043)
self.add_parameter(
[k1, k2, alpha_m, alpha_m_gamma, alpha_p, mu_m, mu_p])
#Domains markers
nucleus = [1]
cytoplasm = [2]
promoter_site = [1]
#Reactions
R1 = pyurdme.Reaction(name="R1",
reactants={
Pf: 1,
protein: 1
},
products={Po: 1},
massaction=True,
rate=k1,
restrict_to=promoter_site)
R2 = pyurdme.Reaction(name="R2",
reactants={Po: 1},
products={
Pf: 1,
protein: 1
},
massaction=True,
rate=k2,
restrict_to=promoter_site)
R3 = pyurdme.Reaction(name="R3",
reactants={Pf: 1},
products={
Pf: 1,
mRNA: 1
},
massaction=True,
rate=alpha_m,
restrict_to=promoter_site)
R4 = pyurdme.Reaction(name="R4",
reactants={Po: 1},
products={
Po: 1,
mRNA: 1
},
massaction=True,
rate=alpha_m_gamma,
restrict_to=promoter_site)
R5 = pyurdme.Reaction(name="R5",
reactants={mRNA: 1},
products={
mRNA: 1,
protein: 1
},
massaction=True,
rate=alpha_p,
restrict_to=cytoplasm)
R6 = pyurdme.Reaction(name="R6",
reactants={mRNA: 1},
products={},
massaction=True,
rate=mu_m)
R7 = pyurdme.Reaction(name="R7",
reactants={protein: 1},
products={},
massaction=True,
rate=mu_p)
self.add_reaction([R1, R2, R3, R4, R5, R6, R7])
#Restrict to promoter_site
self.restrict(Po, promoter_site)
self.restrict(Pf, promoter_site)
#Distribute molecules over the mesh
self.set_initial_condition_place_near({Pf: 1}, [0, 0, 0])
self.set_initial_condition_scatter({protein: 60}, cytoplasm)
self.set_initial_condition_scatter({mRNA: 10}, nucleus)
self.timespan(range(1200))