Commit 333bc989 authored by Marie Haghebaert's avatar Marie Haghebaert
Browse files

notation epsilon to eta en PME eq

parent 4c864a3c
%% Cell type:markdown id:9731fcb6 tags:
# Numerical implementation of the deterministic model resolution
We present here the numerical implementation of the deterministic model presented in L. Darrigade and al. All notations are presented in the article. We recal porous media type equations use to model cell densities and reaction-diffusion equations for metabolites concentrations.
## Porous media type equations
We aim at solving the porous media type equations :
\begin{equation}
\begin{cases}
\partial_t \rho_l - W \partial_z \left(\phi(z) \rho_l \partial_z \rho \right) = \sum_k \epsilon_{k,l} q_k^\infty q_k(z, l, D \rho, c_b), \\
\partial_t \rho_l - W \partial_z \left(\phi(z) \rho_l \partial_z \rho \right) = \sum_k \eta_{k,l} q_k^\infty q_k(z, l, D \rho, c_b), \\
\rho_l(0,t) = 0 \text{ if $l\neq sc$,}\\
\rho_{sc}(0,t) = \rho_{sc}^{bot}, \\
\partial_z \rho_l(z_{max}, t) = 0.
\end{cases}
\label{eq:PME}
\end{equation}
for $ l \in \{'sc','pc','gc','ent'\}$. However this type of equations are not trivial to solve due to the non-linear cross diffusion terms. To be able to simulate we use the kinetic diffusive explicit scheme [(D.Aregba-Driollet & all 2003)](https://www.ams.org/journals/mcom/2004-73-245/S0025-5718-03-01549-7/) and transform the previous equation in the following form :
\begin{equation}
\partial_t \rho_l - \partial_z\left(W \phi \partial_z ( \hat{\rho_l} ) \rho_l + G'\rho_l^2 \right) - G\partial_{zz}\rho_l^2 = -G''\rho_l^2 + \sum_k \epsilon_{k,l} q_k^\infty q_k(z, l, D \times \rho, c_b)
\partial_t \rho_l - \partial_z\left(W \phi \partial_z ( \hat{\rho_l} ) \rho_l + G'\rho_l^2 \right) - G\partial_{zz}\rho_l^2 = -G''\rho_l^2 + \sum_k \eta_{k,l} q_k^\infty q_k(z, l, D \times \rho, c_b)
\label{eq:PME_scheme_cinetique}
\end{equation}
with $\hat{\rho_l} = \sum_{k \ne l} \rho_k$ and $G(z) = \frac{1}{2} W \phi(z) $. This new transport-diffusion form is adapted to the use of the kinetic diffusive scheme to obtain numerical simulations.
## Coupled reaction-diffusion equations
For butyrate $c_b$ concentration we solve :
\begin{equation}
\begin{cases}
\partial_t c_b - \sigma_b \partial_{zz} c_b = - \gamma_\beta^\infty \frac{c_o^4c_b}{c_o^4c_b + K_{\beta}^5} \times (\rho_{ent} + \rho_{gc}), \\
c_b(z_{max}, t) = c_{b,lum}, \\
\partial_z c_b(0,t) = 0. \\
\end{cases}
\label{eq:butyrate}
\end{equation}
And for $O_2$ $c_o$ concentration :
\begin{equation}
\begin{cases}
\partial_t c_o - \sigma_o \partial_{zz} c_o = - 4 \gamma_\beta^\infty \frac{c_o^4c_b}{c_o^4c_b + K_{\beta}^5} \times (\rho_{ent} + \rho_{gc}), \\
\partial_z c_o(z_{max}, t) = 0,\\
c_o(0,t) = c_{o,bot}.\\
\end{cases}
\label{eq:o_2}
\end{equation}
## Code organisation
User find in this notebook different parts :
- Load Libraries and modules
- Definition of biological and numerical parameters
- Definition of $\phi(z)$, $G(z)$ and space regulation term of cell fate events
- Initialisations
- Resolution
- Display
- References
%% Cell type:markdown id:23d2361a tags:
### Load Libraries and modules
%% Cell type:code id:cef54ff5 tags:
``` python
# Load libraries
import time
import numpy as np
from scipy.integrate import simps
# Load modules
import module_model_resolution as reso
import util as ut
```
%% Cell type:markdown id:656dc4fd tags:
### Definition of biological and numerical parameters
Biological parameter values are listed in Tab 12/13 from ref L. Darrigade and al
%% Cell type:code id:67ed1854 tags:
``` python
dict_param = {
# Geometry
"Z_max": 200.0,
"r0": 25.0,
"eps": 2.5,
#
# mecanic interaction
"W_barre": 6.01 / 8,
"D_barre": 12.07,
#
# sc division
"q_div_sc": 0.15,
"K_div_sc": 12.0,
"l_div_sc": 5.0,
"K_cont_div_sc": 53.0,
"l_cont_div_sc": 6.0,
"K_but_sc": 2,
"l_but": 5,
# Differenctiation sc - pc
"q_sc_pc": 0.2,
#
# pc division
"q_div_pc": 0.22,
"K_div_pc": 40.0,
"l_div_pc": 40.0,
"K_cont_div_pc": 41.0,
#
# # Differenciation pc - ent / gc
"q_pc_gc": 0.25 / 3,
"q_pc_ent": 0.25,
"l_pc_ent": 15.0,
#
"K_but_pc_dif": 1.5,
#
# Extrusion
"q_ex": 0.34,
"K_ext": 190.0,
"l_ext": 15.0,
"K_cont_ext": 20.0,
#
# Boundary condition for densities
"cond_sc_z0": 0.65,
"cond_pc_z0": 0,
"cond_gc_z0": 0,
"cond_ent_z0": 0,
#
# Initial state for DCS cells
"dcs_zd": 3,
"dcs_d": 2.25,
"dcs_zu": 3,
"dcs_u": -1 / 8,
"nb_dcs": 12,
#
# # Metabolites concentrations
"sigma_b": 3.6e6,
"sigma_o": 3.6e6,
"gamma": 1.6e4 / 15.5,
"K_b_o": 0.184 * 10 ** 4,
"c_b_top": 5,
"c_o_bot": 10,
}
```
%% Cell type:code id:233a38bd tags:
``` python
# Definition of numeric parameters
dict_num = {
"nz": 400, # Number of vertices
"Tmax": 4000, # maximal time
"dt": 0.00025, # initial time step
"nout": 20000, # used for the stop criterion of the resolution loop and display
}
# Space step :
dict_num["dz"] = dict_param["Z_max"] / (dict_num["nz"] + 1)
# kinetic diffusif explicit scheme parameters :
dict_num["alpha"] = 0.9
dict_num["a_m1"] = 0.0
dict_num["a_0"] = 1
dict_num["a_1"] = 0.0
dict_num["a_2"] = 0.0
dict_num["m"] = (-dict_num["a_2"] + dict_num["a_m1"]) / (
dict_num["a_0"]
- dict_num["a_1"]
- 3 * dict_num["a_2"]
+ 3 * dict_num["a_m1"]
)
```
%% Cell type:markdown id:9a48e5ce tags:
### Definition of $\phi(z)$, $G(z)$ and space regulation term of cell fate events
We recal that $\phi(z)$ allows to take into account the impact of curvature on the top and at the bottom of the crypte on the interaction force, its value is given by :
\begin{equation}
\label{eq:phi}
\mathcal{\phi}(z):=\begin{cases}
\frac{\frac{f(z)}{r_0}-\frac{f(0)}{r_0}}{1-\frac{f(0)}{r_0}}\quad &\text{ if }z\leq r_0-\epsilon\\
1 \quad &\text{ if }r_0-\epsilon<z<z_{max}-r_0+\epsilon\\
\frac{\frac{f(z_{max})}{r_0}-\frac{f(z)}{r_0}}{\frac{f(z_{max})}{r_0}-1}\quad &\text{ if }z\geq z_{max}-r_0+\epsilon
\end{cases}
\end{equation}
with $f(z)$ the crypt form :
\begin{equation}\label{eq:def_f}
f(z)=\begin{cases}
r_0\sqrt{\frac{z+\epsilon}{r_0}\left(2-\frac{z+\epsilon}{r_0}\right)}\quad &\text{ if }z\leq r_0-\epsilon\\
r_0 \quad &\text{ if }r_0-\epsilon<z<z_{max}-r_0+\epsilon\\
r_0\left(2-\sqrt{\frac{z_{max}-z+\epsilon}{r_0}\left(2-\frac{z_{max}-z+\epsilon}{r_0}\right)}\right)\quad &\text{ if }z\geq z_{max}-r_0+\epsilon
\end{cases}
\end{equation}
In the implementation of the resolution we supposed the existence of a correction term to take into acount the impact of curvature on the local density of cells : $C(z)$. This would give $G(z) = \frac{W \phi(z) C(z)}{2}$.
In the article (\bold{REF} )this approach is not explored so we assume here that C(z) = 1.
concerning space regulation term of cell fat events we use the piecewise polynomial function $R(y,K,l)$ such as :
\begin{equation}
R(y,K,\ell) :=
\label{form:regul}
\begin{cases}
0 & \text{if } y \leq K - \ell,\\
-\frac{1}{4\ell^3}y^3 + \frac{3K}{4\ell^3}y^2 - \frac{3K^2 - 3\ell^2}{4l^3} y + \frac{K^3 + 2\ell^3 - 3 K\ell^2}{4\ell^3} & \text{if } K - \ell \leq y \leq K + \ell,\\
1 & \text{if } K + \ell \geq y.
\end{cases}
\end{equation}
Several regulations are not time-dependent but only space-dependent, as in the case of Wnt regulations (see table 1)(\bold{REF})
Space variables are stored in a dictionary : dict_space.
%% Cell type:code id:1d1294dc tags:
``` python
# Vector of space vertices
zn = np.linspace(0, dict_param["Z_max"], dict_num["nz"] + 1)
# Definition of space variable stored in the dictionnary dict_space
dict_space = {
"phi": np.array(
[
reso.Get_phi(z, dict_param["Z_max"], dict_param["r0"], dict_param["eps"])
for z in zn
]
),
"phi_prime": np.array(
[
reso.Get_phi_prime(z, dict_param["Z_max"], dict_param["r0"], dict_param["eps"])
for z in zn
]
),
"phi_second": np.array(
[
reso.Get_phi_second(z, dict_param["Z_max"], dict_param["r0"], dict_param["eps"])
for z in zn
]
),
"C": np.ones(dict_num["nz"] + 1),
"C_prime": np.zeros(dict_num["nz"] + 1),
"C_second": np.zeros(dict_num["nz"] + 1),
}
dict_space["G"] = reso.Get_G(dict_space["C"], dict_space["phi"], dict_param["W_barre"])
dict_space["G_prime"] = reso.Get_G_prime(
dict_space["C"],
dict_space["C_prime"],
dict_space["phi"],
dict_space["phi_prime"],
dict_param["W_barre"],
)
dict_space["G_second"] = reso.Get_G_second(
dict_space["C"],
dict_space["C_prime"],
dict_space["C_second"],
dict_space["phi"],
dict_space["phi_prime"],
dict_space["phi_second"],
dict_param["W_barre"],
)
# Regulation function from source terms
dict_space["R_sc"] = reso.regulation_r(zn, dict_param["K_div_sc"], dict_param["l_div_sc"])
dict_space["R_pc"] = reso.regulation_r(zn, dict_param["K_div_pc"], dict_param["l_div_pc"])
dict_space["R_pc_gc_ent"] = reso.regulation_r(zn, dict_param["K_div_pc"], dict_param["l_pc_ent"])
dict_space["R_ext"] = reso.regulation_r(zn, dict_param["K_ext"], dict_param["l_ext"])
dict_space['z_coord'] = zn
```
%% Cell type:markdown id:eb4307d4 tags:
### Initialisations
We start from an empty crypt : $\rho_{l,0} = 0 \forall l \in \{'sc', 'pc', 'gc','ent'\}$ and from a DCS cell density following the shape :
\begin{equation}
\label{eq:dcs_shape}
\rho_{dcs}(z) = \frac{N_{dcs}}{\int_{0}^{Z_{max}}\bar{\rho}_{dcs}(z) dz}\bar{\rho}_{dcs}(z)
\end{equation}
with
\begin{equation*}
\bar{\rho}_{dcs}(z) =
\begin{cases}
d (z-z_d) + 1 & \mbox{if} \; z_d - \frac{1}{d} < z < z_d, \\
1 & \mbox{if} \; z_d \leq z \leq z_u, \\
1+ u(z - z_u) & \mbox{if}\; z_u < z < z_u - \frac{1}{u},\\
0 &\mbox{otherwise,}
\end{cases}
\end{equation*}
where $ z_{d}, d>0 , z_{u}, u<0$ and $N_{dcs}$ is the predefined number of DCS cells.
We also set initial concentration of butyrate and $O_2$ at zero.
%% Cell type:code id:0a10ad68 tags:
``` python
# Initial conditions for densities
dcs_dens = np.array(
[
reso.dcs_shape(
z,
dict_param["dcs_zd"],
dict_param["dcs_d"],
dict_param["dcs_zu"],
dict_param["dcs_u"],
)
for z in zn
]
)
rho_dcs_0 = (dict_param["nb_dcs"] / simps(dcs_dens, zn)) * dcs_dens
rho_sc_0 = rho_pc_0 = rho_gc_0 = rho_ent_0 = np.zeros(dict_num["nz"] + 1)
# Initial conditions for concentrations
c_o = c_b = np.zeros(dict_num["nz"] + 1)
# Resolution variable
y0 = [rho_sc_0, rho_dcs_0, rho_pc_0, rho_gc_0, rho_ent_0, c_o, c_b]
```
%% Cell type:markdown id:436d56f5 tags:
### Resolution
Time resolution until steady-state. At the final time get the resolution variable $y$, the number of iterations necessary for resolution, densities of cell living a cell fate event (div, diff, ext) and the final time $t$.
rho_cell_fate is configured as : \[Div_sc, Diff_sc_pc, Div_pc, Diff_pc_gc, Diff_pc_ent, Ext_gc_ent\]
%% Cell type:code id:f3b55c29 tags:
``` python
# May take time (env 1m30)
start_time = time.time()
y, n_iter, rho_cell_fate, t = reso.resolution(y0, dict_param, dict_num, dict_space)
print("CPU time : ",time.time() - start_time)
```
%%%% Output: stream
CPU time : 78.58822417259216
%% Cell type:markdown id:1c85417b tags:
### Display of results
#### Comparison between deterministic and stochastic model behaviour
%% Cell type:code id:b7a4fde1 tags:
``` python
# COMPARISON BETWEEN CONTINOUS ANS STOCHASTIC MODEL BEHAVIOUR - Densities
reso.show_comparison_PDMP_PME_density(
"SIMUS/pop_500_20.p",
"SIMUS/pop_500_std_20.p",
zn,
y,
colors=ut.colors_density_leo_rgb,
title = True
)
```
%%%% Output: display_data
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)
%%%% Output: display_data
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D1umdmZigUChx66KGJX/dSn70nn3yS0dFRKpUKlUqlrcsgnr18Pk+pVOLggw9uew8G9ezV8q3be9CPZ69YLFIulymVSj39zlmevampqfripI1phfDsFYvFhUJGR/S0p4eqVlR1LbAaOFVEjm3dR0QuE5GNIrJx165dzR/m86TvuQcGvNigiATbKSaVSrmbAXezkUqlgq1xCT3f3K17kvCSfrWDichfADOq+pF2+0xOTurmzZujN6pw2mnwwx/CuefCzTf3xXM+Qu595G423M2Gu9lwNxszMzOMj49vUtWTrefoKkyKyISI/JaInNTBvoeJyMr49Rjwa8CDCx3T1JNm164owAF84Qvw9NPdqCbK7OxsIuM1eoG72XA3G+5mw91sJOG1YJATka/XqhhF5LnAduBi4F9E5PJFzv1c4Nsisg34IXC7qn59QZnGomljrxpVuPPORZLrHaOjo3NG4oeCu9lwNxvuZsPdbCThtVjHkzWquj1+/QdEgeqtIrIc+B7w8XYHquo24ESzWbnc/H7DBnjTm8yncxzHcf7rsVh1ZeMghTOBbwKo6l4g8RGETdWV8wW5ARHyDOLuZsPdbLibDXez0Y9VCH4mIu8GdgCTwK1Qb2PLLjn1FpqqK1uD3NatUbvcIYckneyihFqUB3ez4m423M2Gu9lIwm2xktwlwDHARcB5qro73v4K4J+WnHoLTT09W4PcANvlSqVSsLMCuJsNd7PhbjbczUY/Zjx5BvgLVZ1q2b4d+P6SU1+I1iAH3i7nOI7jdMViJbm/B06fZ/vpwN8lLdM0yLRdkBsA2Wy2PiNAaLibDXez4W423M1GEl6LBbmTVPWLrRtV9UvAq5ecegsLdjyBqF2udVaUPpDP58kPeNaVdribDXez4W423M1GEl6LVVcuNAQ+8XlgFux4Avvb5c45J+mkF2TYJzDtFe5mw91suJuNYXdbLFBNiciprRtF5BSgt0vXzhfkYKBDCRzHcZwDi8VKclcBN4nIdUSrCQCcDLwVOD9pmbbVlakU1D4bQJCrFZnHx8f7nvZiuJsNd7PhbjbczUbPqytV9Qcichrwh0TDCAB+DJw2T4/LJdO2unJyEjZvjgLdli1Ru9zBByedfFuSWIK9V7ibDXez4W423M1GEm6Lrienqk8Cfykih8Xve1ZN2Xac3CGHRIFu48aBtMuV21WdBoC72XA3G+5mw91sJOG22ATNIiIfEJGdwEPAQyKyM142p7c0XlwmA+vW7X/f5yrLarXaXJUaEO5mw91suJsNd7ORhNdiHU+uAF4FnKqqh6jqIcBpwKtE5IqFDhSR54vIt0XkfhH5sYi8ZzGZtuPkWoPcd76z2KkSJZfLkcvl+ppmp7ibDXez4W423M1GEl6LBbkLgQtU9ae1Dar6KPAWos4nC1EG/lhVjyaaBuydInL0Qge0ra7MZOD006MOKAA/+hHs3r1I8skR+gSm7tY97mbD3Wy4m40kvBYLcllVfap1Y9wut+BQdFV9QlU3x6/3Ag8ARy50zIIluRUrona56IR9nccy9BkB3K173M2Gu9lwNxtJeC3W8aRo/KwJETmKaG25exfar1wuMzMzQ7lcJr1nD7UOrSVVSjMzyGmnMbZxIwD5W2+leuaZFItFUqkUmUyG2dlZxsbGqFarFItFRkdH6xN8ZrNZZmdn67Na5/N5xsbGKJfLqCrZbJZ8Pk8ulyOVStXPValU2LdvH9lsllKpRCaTIZ1ON6VVKpUYGRmZ41JLq1AozHHJ5/P1gY6NLtVqlVwuR6FQIJvNznEpl8v1tNLpNIVCgXw+TyqVmnPdIjLHpZZWq0vrdbe6tF53q8t892DPnj2MjIxQqVQWvQe1tNrdg1pa87k0Xne7e9B63aVSqf5XYtLXvdRnb/fu3YyOjqKqVCqVti6DePYqlQqlUglVbXsPBvXs1fIN6Ooe9OPZU9V6/vXyO2d59vbs2TPv/Q7h2Wuq3TOyWEnuBBF5Zp5/e4HjOklARJ4DfAG4XFWfmefzy0Rko4hsnJ6e3v9B/MMIRCU5oPSqV+3f9L3vdZJ8IoQ+7Y27dY+72XA3GyG71f5QDpEkvCSJSNn25CJZ4OvAv6nqxxbbf3JyUjdv3hy9Wb8eLr00en3xxdH7PXui4QTVKohE68utXNkz/xozMzMALFu20Cxng8HdbLibDXez4W42ZmZmGB8f36SqJ1vPkfj8kzUkamBbDzzQSYCbQ2ubHETtcieeGL3uY7tcregeIu5mw91suJsNd7ORhFfPghzR0IMLgdeKyJb431kLHbBg78oaAxgvVy6Xgx0w6W423M2Gu9lwNxtJeC0644kVVb0LkEV3bGDB3pU11q2Dj340et2n8XLDPkt3r3A3G+5mw91sDLtbL0tyXdNRSW4A4+WKxSLFYsedSfuKu9lwNxvuZsPdbCThFVSQ66gkt3Ll/na5ahXuuqvnXul0mnQ63fN0LLibDXez4W423M1GEl5BBbkm2gU56Hu7XOgPgbt1j7vZcDcb7mZj6IJc2/XkBhzkZmdnmZ2d7Xk6FtzNhrvZcDcb7mYjCa+edTyx0HY9udYgV2uXq1b3t8v1cLzcsK+31CvczYa72XA3G8PuFlRJromFglyf2+VCX4rC3brH3Wy4mw13s9GPpXb6SsfVlQCvec3+1z0eShB67yN36x53s+FuNtzNxtD1ruy4uhL62i43Ojpan3Q0NNzNhrvZcDcb7mYjCa+g2uQ6GidX44wzovkrVWHz5mheyxUreuJVm0U7RNzNhrvZcDcb7mYjCbegSnJNLBbk+tguJyLNY/gCwt1suJsNd7PhbjaS8AoqyHU0GLyRPlVZZjIZMu0cBoy72XA3G+5mw91sJOEVVJDrquMJ9C3IhT6OxN26x91suJsNd7PxX3ecXI0+tcuF2igL7mbF3Wy4mw13sxF0xxMR+UfgbGBKVY/t5Jjp6Wk+/OEPA/Ab993Hy+PtX7vlFh544gn+4R/+AYC3ve1t9WPe+rznccTjj0O1yucvv5xHXx4dNTExwSWXXJLY9TiO4zgHHr0syV0HXAP8c6cHVCoVzjzzTACOuO22+vZjjj+e5515Zv2zRmTrVvjc5wA4vVJhTbzPHXfcYTdvobYE+/j4eGLnTAp3s+FuNtzNhrvZqLkthV6uJ/ddETnKfIKGFWF1gUk69550EofHQW75pk3m5BZi2Ke96RXuZsPdbLibjWF3C6pNTlUpFotUKhWqDSPdi9VqfVR+LpejWq1SqVTIZrPs/KVf4kUiiCrLHnyQyq5dlJcto1qtMjMzUx9nkc1mmZ2drdfx5vN5xsbGKJfLqCrZbJZ8Pk8ulyOVSjE7O8vY2BiVSoVdu3aRy+UoFApkMhnS6XT982q1SqlUYmRkhGKxSCqVIpPJNKVVKBQYHR1tcsnn8/UFARtdqtVqPa1sNjvHpVwu19NKp9M8++yz5PN5Vq1aRTXOp1paIjLHpZZWq0vrdbe6tF53q0vjddfyZXp6mpGRkY7uQS2tdveglla7e1C77nb3oPW6Z2dnKRQKTExMJH7djffA8uxNTU0xOjpKpVKhUqkE9ewVCgWKxSIHH3xw23swqGevlm/d3oN+PHulUolyuUypVOrpd87y7O3cuZNsNlv/XtTSCuHZG4pxciJymYhsFJGNzz777P7tHZbkysuX8+yLXxwdU62yfOvW3sk6juM4BxTSNMtI0iePqiu/3mnHk9WrV+tXvvIVAF7yzndy0L33AvDwNdew9xWvaH/cxz5Wr7L8xYUX8vh73sMdd9zBe9/73qVdQMzMzAwAy5YtS+R8SeJuNtzNhrvZcDcbMzMzjI+Pb1LVk63nGHhJri0NJTkWWThv70kn1V/3ol0un88n0gDaC9zNhrvZcDcb7mYj6I4nInI9sA44VER2AH+pqus7Pr7D6kqAfSeeiDa0y6X27bNJtyGXyyV6viRxNxvuZsPdbLibjSTcetm78oKlHN9NkKscdBCzL30pyx56CKlWeU7C7XJNg9QDw91suJsNd7PhbjaScAv26qRhxpPFghzA3snJ+uukqyxDn/bG3brH3Wy4mw13s5GEV7hBrrEk18Eknb1slxsbGwt2LIm72XA3G+5mw91sDN04uSa66HgCc9vlcgk2pJYb59EMDHez4W423M2Gu9lIwu3AKMl1EOQqK1Yw+5KX1I898rHHEnOpVqvNKyQEhLvZcDcb7mbD3Wwk4RVsSa7bIAdRleWyhx8G4L89+mhiLsPe+6hXuJsNd7PhbjaG3W1oSnLQ3C73/ASDXKFQoFAoJHa+JHE3G+5mw91suJuNJLzCLck19q7scHXYxna5Ix5/HPbuheXLl+wS6qq54G5W3M2Gu9lwNxtDtzJ4E112PIHmdrlUtQrf+14iKul0mnSHDv3G3Wy4mw13s+FuNpLwCjbIWaorobnKkg0bEnEJfRyJu3WPu9lwNxvuZiMJr2DLqUsJcodff330JqEgF+oYEnA3K+5mw91suJuNoR4nZw1yje1ybNyYSLtcpbHqNDDczYa72XA3G+5mIwm3cKsrDR1PoLldjkolkXa5crkc7IBJd7PhbjbczYa72RjqweCWjic1km6XGxkZqa9mGxruZsPdbLibDXezkYRXT4OciLxeRB4SkUdE5H1dHWusroTkg1yxWKRYLC75PL3A3Wy4mw13s+FuNpLw6lmQE5E08EngDcDRwAUicnRHB1erUZsaoCLQ5XILtXY5IGqXW+L6cqlUKtjlKNzNhrvZcDcb7mYjCa9edjw5FXhEVR8FEJEbgDcB97c74ODpaV50xRVIw3xl3ZbiIGqXmzriCA5/4omo2vOss2DFiq7PU2O8VqoMcCyJu9lwNxvuZsPdbIwn0PGkl0HuSOBnDe93AKctdMBIPs/KO+9s2qaZDPl8nlQqRbFYJJfLUa1WqVQqZLNZyuUyIkI6na5/rqpsWbGC1z3xRHSSlnN2S3i3fj/uZsPdbLibDXezkYTbwIcQiMhlwGXx24LA9qYd8nk4/fS+e83DocBTg5Zog7vZcDcb7mbD3Wy8bCkH9zLIPQ48v+H96nhbE6r6aeDTACKyUVVP7qGTGXez4W423M2Gu9kI3W0px/eytfGHwEtEZI2I5IDzga/2MD3HcRzHaaJnJTlVLYvIu4B/I6pa/UdV/XGv0nMcx3GcVnraJqeq3wS+2cUhn+6VSwK4mw13s+FuNtzNxtC6icbj0RzHcRxn2AhzBKDjOI7jJEAQQW4p03/1wOX5IvJtEblfRH4sIu+Jtx8iIreLyE/i/w8eoGNaRH4kIl+P368RkXvj/Lsx7ugzCK+VIvJ5EXlQRB4QkV8OJd9E5Ir4fm4XketFZHSQ+SYi/ygiUyKyvWHbvHklEX8fe24TkckBuF0d39dtIvIlEVnZ8Nn7Y7eHROR1/XZr+OyPRURF5ND4/cDzLd7+7jjvfiwiH27YPtB8E5G1InKPiGwRkY0icmq8vW/51u3vrclNVQf6j6hTyv8DXgjkgK3A0QP0eS4wGb9eDjxMNC3Zh4H3xdvfB/ztAB2vBD4HfD1+fxNwfvz6WuAdA/L6v8Cl8escsDKEfCOamOCnwFhDfl00yHwDXg1MAtsbts2bV8BZwC2AAK8A7h2A268Dmfj13za4HR1/Z0eANfF3Od1Pt3j784k6uf0HcGhA+fYrwLeAkfj9qlDyDbgNeENDXm3od751+3trcQuhJFef/ktVi0Bt+q+BoKpPqOrm+PVe4AGiH8k3Ef2IE///m4PwE5HVwBuBz8TvBXgt8PlBuonICqIv0noAVS2q6m4CyTeiTlZjIpIBlgFPMMB8U9XvAk+3bG6XV28C/lkj7gFWishz++mmqrepam3dk3uIxr3W3G5Q1YKq/hR4hOg73Te3mL8D3gs0djIYeL4B7wD+RlUL8T5TDW6DzjcFDopfrwB+3uDWl3wz/N527RZCkJtv+q8jB+TShIgcBZwI3AscrqrxPGH8Ajh8QFofJ/oy1yb4nAB2N/wADSr/1gA7gX+Kq1I/IyLjBJBvqvo48BHgP4mC2x5gE2HkWyPt8iq078jFRH9NQwBuIvIm4HFV3dry0cDdgJcCZ8TV4t8RkVMCcrscuFpEfkb0/Xh/vH0gbh3+3nbtFkKQCxIReQ7wBeByVX2m8TONys1975YqImcDU6q6qd9pd0CGqDrkf6vqicCzRNUMdQaYbwcT/QW4BngeMA68vt8e3TCovFoMEflzoAz866BdAERkGfBnwF8M2qUNGeAQoqq1q4Cb4tqXEHgHcIWqPh+4grgWZhD08vc2hCDX0fRf/UREskQZ/q+q+sV485O1YnH8/1S743vIq4BzROQxomrd1wKfICqy18Y8Dir/dgA7VPXe+P3niYJeCPn2q8BPVXWnqpaALxLlZQj51ki7vAriOyIiFwFnA2+Of3hg8G4vIvrjZWv8vVgNbBaRIwJwg+h78cW4eu0HRDUwhwbi9vtE3wWAm9lfXdpXty5/b7t2CyHIBTX9V/xX1nrgAVX9WMNHXyV6KIj//0q/3VT1/aq6WlWPIsqnf1fVNwPfBs4dsNsvgJ+JSG0y1TOJllUaeL4RVVO+QkSWxfe35jbwfGuhXV59FXhr3LPsFcCehqqcviAiryeqJj9HVWcaPvoqcL6IjIjIGuAlwA/65aWq96nqKlU9Kv5e7CDqyPALAsg34MtEnU8QkZcSdch6igHnW8zPgdfEr18L/CR+3bd8M/zedu/Wq14z3fwj6jHzMFEPoz8fsMvpREXjbcCW+N9ZRG1fdxA9CN8CDhmw5zr29658IdEX5BGiv8hGBuS0FtgY592XgYNDyTfgg8CDRKtc/AtRr7aB5RtwPVH7YInoh/mSdnlF1JPsk/H34z7g5AG4PULUFlL7TlzbsP+fx24PEffW66dby+ePsb93ZQj5lgM+Gz93m4HXhpJv8W/dJqJenvcCJ/U73+jy99bi5jOeOI7jOENLCNWVjuM4jtMTPMg5juM4Q4sHOcdxHGdo8SDnOI7jDC0e5BzHcZyhxYOc4ziOM7R4kHMcx3GGFg9yjjMPIlKJ19naLiI3x3MkdnuOu+P/V4rIH873WQKeY/HEv+kEzpUTke82THXmOAc8HuQcZ35mVXWtqh4LFIG3d3sCVX1l/HIl8IdtPlsqFxPNjVhZ6ok0WurqDuC8JVs5TiB4kHOcxbkTeDGAiFwZl+62i8jl8bZxEfmGiGyNt58Xb98XH/83wIvikuHVjZ+1Od9REq2s/n8kWi35NhEZa+P2Zhrm3BSRDSLyS/HrCYlXgo5Lo9eIyF0i8h8icrqI/IuIPCwijbPPfzk+p+MMBV4t4TgLEFfdvQG4VUROAv4AOI1oDr17ReQ7RHNg/lxV3xgfs6LlNO8DjlXVtS3nbne+XUQT9l6gqv9DRG4CfptoDsTG43PAC1X1sYbNLyaaBxbgeKL5/QCOA76vqu8SkT8jmhR3HdEagDtEZESjhT23A6fgOEOCl+QcZ37GRGQL0YTT/0kUFE4HvqSqz6rqPqJlSs4gCiS/JiJ/KyJnqOqeDtNodz6IlgbaEr/eBBw1z/GHArtrb0TkBUSLh9YW1D0e2CYio0RVph+PtyuwXqNVmctAhahKlrjasygiyzu8BscJGg9yjjM/tTa5tar67ri9al5U9WGitfPuAz4kIkks4FloeF1h/lqXWWC04f0JRLO51zgpfn8MsLkh+J1ANOs8IrKaqBTaOFP7CJBfkr3jBIIHOcfpnDuB34zXpRsHfgu4U0SeB8yo6meBq4kCXiN7gflKRvOer1MZVd0FpOOSGkRLHY0CiMhLiFZDv4+oqnJrw6HHsz8YNgVGEZkAntJocVnHOeDxNjnH6RBV3Swi17F/ccvPqOqPROR1wNUiUiVar+sdLcdNi8j34k4gt6jqVYuc76gutG4jqvb8FlHAyovIVqLAdT/RgpMra2nEAXEsDpDQHPAgWuDzG12k7zhB4+vJOc4BjIhMAleo6oUi8hOiVbH3LuF8XwTeF1fBOs4Bj1dXOs4BjKpuBr4d9+jUJQa4HPBlD3DOMOElOcdxHGdo8ZKc4ziOM7R4kHMcx3GGFg9yjuM4ztDiQc5xHMcZWjzIOY7jOEOLBznHcRxnaPEg5ziO4wwtHuQcx3GcoeX/A9H9stNN5JCsAAAAAElFTkSuQmCC)
%%%% Output: display_data
![](data:image/png;base64,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)
%%%% Output: display_data
![](data:image/png;base64,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)
%%%% Output: display_data
![](data:image/png;base64,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)
%%%% Output: execute_result
1
%% Cell type:code id:e89ba9e7 tags:
``` python
# COMPARISON BETWEEN CONTINOUS ANS STOCHASTIC MODEL BEHAVIOUR -cell fate events
reso.show_comparison_PDMP_PME_cell_fate_rates(
"SIMUS/jumps20.p",
"SIMUS/jump_std20.p",
zn,
y,
rho_cell_fate,
colors=ut.colors_cell_fate_rgb,
title=True
)
```
%%%% Output: display_data
![](data:image/png;base64,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)
%%%% Output: display_data
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)
%%%% Output: display_data
![](data:image/png;base64,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)
%%%% Output: display_data
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)
%%%% Output: execute_result
1
%% Cell type:markdown id:c728daa9 tags:
#### Densities as steady-state
%% Cell type:code id:0d7a2cd1 tags:
``` python
# Show densities
reso.display_densities(zn, y0, 0, title="Initial densities")
reso.display_densities(zn, y, t,title="Densities at steady-state")
```
%%%% Output: display_data
![](data:image/png;base64,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)
%%%% Output: display_data
![](data:image/png;base64,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)
%%%% Output: execute_result
1
%%%% Output: display_data
%% Cell type:markdown id:e2828e4f tags:
#### Cell fate rates at steady-state
%% Cell type:code id:cb7ce9f3 tags:
``` python
# CELL FATE cell.h^-1
reso.show_cell_fate(
rho_cell_fate,
zn,
y,
ut.label_cell_fate_latex,
colors=ut.colors_cell_fate_rgb,
title="Cell fate rates at steady-state"
)