# EP-PINNs
Implementation of Physics-Informed Neural Networks (PINNs) for the solution of electrophysiology (EP) problems in forward and inverse mode. EP-PINNs is currently implemented with the Aliev-Panfilov EP model (Aliev & Panfilov, Chaos, 1996) and the monodomain equation in isotropic 1D and 2D settings. EP-PINNs use the DeepXDE library (Lu et al, SIAM, 2021).
Both forward and inverse modes provide a high-resolution spatio-temporal representation of the action potential. The inverse mode can additionally estimate global model parameters: a; b; D; a and D; b and D and spatial heterogeneities in D.
We also include Matlab files to simulate the cardiac (ventricular) Aliev-Panfilov electrophysiology model in a cable (1D) and rectangular (2D) domain with Neumann boundary conditions and several initial conditions (single ectopic focus, planar wave, spiral wave). The code also supports the inclusion of heterogeneities in D (which are rectangular, for the time being). Centred finite differences and a 4-step explicit Runge-Kutta solvers are used throughout. The Matlab code can be used to provide ground truth data to the EP-PINNs solver.
Further details can be found in a soon to be published article. In the meantime, email marta.varela (at) imperial.ac.uk with any comments or questions.
<img width="560" alt="ExampleAlievPanfilov" src="https://user-images.githubusercontent.com/83647272/139454087-c50c4ddb-342d-454c-8332-9aada8c4967c.jpeg">
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用于Aliev-Panfilov心脏电生理模型的1D和2D正向和反.zip
共43个文件
mat:18个
m:12个
py:5个
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用于Aliev-Panfilov心脏电生理模型的1D和2D正向和反.zip
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用于Aliev-Panfilov心脏电生理模型的1D和2D正向和反.zip (43个子文件)
EP-PINNs-main
.DS_Store 6KB
data_files
.DS_Store 6KB
Optical_Mapping
data_e4031_exp.mat 5KB
data_nifedipine_base.mat 4KB
data_nifedipine_exp.mat 4KB
data_e4031_base.mat 4KB
Canine_Atrial_Model
data_1d_canine_2_la.mat 88KB
data_1d_canine_0_bb.mat 89KB
data_1d_canine_1_la.mat 89KB
data_1d_canine_0_la.mat 89KB
Aliev_Panfilov_Model
_1D
data_1d_right.mat 187KB
data_1d_left.mat 183KB
data_1d_left_low_b.mat 182KB
data_1d_left_low_d.mat 134KB
data_1d_left_low_a.mat 173KB
_2D
data_2d_vertical_planar.mat 9.98MB
data_2d_spiral.mat 9.47MB
data_2d_corner.mat 9.73MB
data_2d_spiral_heter.mat 5.8MB
data_2d_corner_heter.mat 9.71MB
animations_2D
corner.mp4 361KB
corner_heter.mp4 396KB
vertical_planar.mp4 103KB
spiral_heter.mp4 1.38MB
spiral.mp4 1.31MB
Matlab_code
AlievPanfilov2D_forClara_Istim.m 4KB
AlievPanfilov1D_RK_Istim.m 5KB
calc_EGM_1D.m 3KB
AlievPanfilov1D_RK_ring.m 5KB
AlievPanfilov1D_RK_heter.m 5KB
calc_EGM_2D.m 3KB
AlievPanfilov3D_RK_Istim.m 5KB
AlievPanfilov2D_RK_Istim_heter.m 6KB
AlievPanfilov2D_RK_Istim_heter_spiral.m 6KB
AlievPanfilov1D_RK.m 4KB
AlievPanfilovODE.m 1KB
AlievPanfilov2D_RK_Istim.m 5KB
PINNs
utils.py 8KB
pinn.py 6KB
main.py 4KB
generate_plots_2d.py 5KB
generate_plots_1d.py 4KB
README.md 1KB
共 43 条
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