import gradio as gr import os import matplotlib.pyplot as plt from scipy.integrate import odeint import torch from torch.utils import data from torch.utils.data import DataLoader, Dataset from torch import nn, optim from skimage.transform import rescale, resize from torch import nn, optim import torch.nn.functional as F from torch.utils.data import Subset from scipy.interpolate import interp1d import collections import numpy as np import random #for pvloop simulator: import pandas as pd from scipy.integrate import odeint import torchvision import echonet import matplotlib.animation as animation from functools import partial device = torch.device("cuda:0" if torch.cuda.is_available() else "cpu") sequences_all = [] info_data_all = [] path = 'EchoNet-Dynamic' output_path = '' class Echo(torchvision.datasets.VisionDataset): """EchoNet-Dynamic Dataset. Args: root (string): Root directory of dataset (defaults to `echonet.config.DATA_DIR`) split (string): One of {``train'', ``val'', ``test'', ``all'', or ``external_test''} target_type (string or list, optional): Type of target to use, ``Filename'', ``EF'', ``EDV'', ``ESV'', ``LargeIndex'', ``SmallIndex'', ``LargeFrame'', ``SmallFrame'', ``LargeTrace'', or ``SmallTrace'' Can also be a list to output a tuple with all specified target types. The targets represent: ``Filename'' (string): filename of video ``EF'' (float): ejection fraction ``EDV'' (float): end-diastolic volume ``ESV'' (float): end-systolic volume ``LargeIndex'' (int): index of large (diastolic) frame in video ``SmallIndex'' (int): index of small (systolic) frame in video ``LargeFrame'' (np.array shape=(3, height, width)): normalized large (diastolic) frame ``SmallFrame'' (np.array shape=(3, height, width)): normalized small (systolic) frame ``LargeTrace'' (np.array shape=(height, width)): left ventricle large (diastolic) segmentation value of 0 indicates pixel is outside left ventricle 1 indicates pixel is inside left ventricle ``SmallTrace'' (np.array shape=(height, width)): left ventricle small (systolic) segmentation value of 0 indicates pixel is outside left ventricle 1 indicates pixel is inside left ventricle Defaults to ``EF''. mean (int, float, or np.array shape=(3,), optional): means for all (if scalar) or each (if np.array) channel. Used for normalizing the video. Defaults to 0 (video is not shifted). std (int, float, or np.array shape=(3,), optional): standard deviation for all (if scalar) or each (if np.array) channel. Used for normalizing the video. Defaults to 0 (video is not scaled). length (int or None, optional): Number of frames to clip from video. If ``None'', longest possible clip is returned. Defaults to 16. period (int, optional): Sampling period for taking a clip from the video (i.e. every ``period''-th frame is taken) Defaults to 2. max_length (int or None, optional): Maximum number of frames to clip from video (main use is for shortening excessively long videos when ``length'' is set to None). If ``None'', shortening is not applied to any video. Defaults to 250. clips (int, optional): Number of clips to sample. Main use is for test-time augmentation with random clips. Defaults to 1. pad (int or None, optional): Number of pixels to pad all frames on each side (used as augmentation). and a window of the original size is taken. If ``None'', no padding occurs. Defaults to ``None''. noise (float or None, optional): Fraction of pixels to black out as simulated noise. If ``None'', no simulated noise is added. Defaults to ``None''. target_transform (callable, optional): A function/transform that takes in the target and transforms it. external_test_location (string): Path to videos to use for external testing. """ def __init__(self, root=None, split="train", target_type="EF", mean=0., std=1., length=16, period=2, max_length=250, clips=1, pad=None, noise=None, target_transform=None, external_test_location=None): if root is None: root = path super().__init__(root, target_transform=target_transform) self.split = split.upper() if not isinstance(target_type, list): target_type = [target_type] self.target_type = target_type self.mean = mean self.std = std self.length = length self.max_length = max_length self.period = period self.clips = clips self.pad = pad self.noise = noise self.target_transform = target_transform self.external_test_location = external_test_location self.fnames, self.outcome = [], [] if self.split == "EXTERNAL_TEST": self.fnames = sorted(os.listdir(self.external_test_location)) else: # Load video-level labels with open(f"{self.root}/FileList.csv") as f: data = pd.read_csv(f) data["Split"].map(lambda x: x.upper()) if self.split != "ALL": data = data[data["Split"] == self.split] self.header = data.columns.tolist() self.fnames = data["FileName"].tolist() self.fnames = [fn + ".avi" for fn in self.fnames if os.path.splitext(fn)[1] == ""] # Assume avi if no suffix self.outcome = data.values.tolist() # Check that files are present """ missing = set(self.fnames) - set(os.listdir(os.path.join(self.root, "Videos"))) if len(missing) != 0: print("{} videos could not be found in {}:".format(len(missing), os.path.join(self.root, "Videos"))) for f in sorted(missing): print("\t", f) raise FileNotFoundError(os.path.join(self.root, "Videos", sorted(missing)[0])) """ # Load traces self.frames = collections.defaultdict(list) self.trace = collections.defaultdict(_defaultdict_of_lists) with open(f"{self.root}/VolumeTracings.csv") as f: header = f.readline().strip().split(",") assert header == ["FileName", "X1", "Y1", "X2", "Y2", "Frame"] for line in f: filename, x1, y1, x2, y2, frame = line.strip().split(',') x1 = float(x1) y1 = float(y1) x2 = float(x2) y2 = float(y2) frame = int(frame) if frame not in self.trace[filename]: self.frames[filename].append(frame) self.trace[filename][frame].append((x1, y1, x2, y2)) for filename in self.frames: for frame in self.frames[filename]: self.trace[filename][frame] = np.array(self.trace[filename][frame]) # A small number of videos are missing traces; remove these videos keep = [len(self.frames[f]) >= 2 for f in self.fnames] self.fnames = [f for (f, k) in zip(self.fnames, keep) if k] self.outcome = [f for (f, k) in zip(self.outcome, keep) if k] def __getitem__(self, index): # Find filename of video if self.split == "EXTERNAL_TEST": video = os.path.join(self.external_test_location, self.fnames[index]) elif self.split == "CLINICAL_TEST": video = os.path.join(self.root, "ProcessedStrainStudyA4c", self.fnames[index]) else: video = os.path.join(self.root, "Videos", self.fnames[index]) # Load video into np.array video = echonet.utils.loadvideo(video).astype(np.float32) # Add simulated noise (black out random pixels) # 0 represents black at this point (video has not been normalized yet) if self.noise is not None: n = video.shape[1] * video.shape[2] * video.shape[3] ind = np.random.choice(n, round(self.noise * n), replace=False) f = ind % video.shape[1] ind //= video.shape[1] i = ind % video.shape[2] ind //= video.shape[2] j = ind video[:, f, i, j] = 0 # Apply normalization if isinstance(self.mean, (float, int)): video -= self.mean else: video -= self.mean.reshape(3, 1, 1, 1) if isinstance(self.std, (float, int)): video /= self.std else: video /= self.std.reshape(3, 1, 1, 1) # Set number of frames c, f, h, w = video.shape if self.length is None: # Take as many frames as possible length = f // self.period else: # Take specified number of frames length = self.length if self.max_length is not None: # Shorten videos to max_length length = min(length, self.max_length) if f < length * self.period: # Pad video with frames filled with zeros if too short # 0 represents the mean color (dark grey), since this is after normalization video = np.concatenate((video, np.zeros((c, length * self.period - f, h, w), video.dtype)), axis=1) c, f, h, w = video.shape # pylint: disable=E0633 if self.clips == "all": # Take all possible clips of desired length start = np.arange(f - (length - 1) * self.period) else: # Take random clips from video start = np.random.choice(f - (length - 1) * self.period, self.clips) # Gather targets target = [] for t in self.target_type: key = self.fnames[index] if t == "Filename": target.append(self.fnames[index]) elif t == "LargeIndex": # Traces are sorted by cross-sectional area # Largest (diastolic) frame is last target.append(int(self.frames[key][-1])) elif t == "SmallIndex": # Largest (diastolic) frame is first target.append(int(self.frames[key][0])) elif t == "LargeFrame": target.append(video[:, self.frames[key][-1], :, :]) elif t == "SmallFrame": target.append(video[:, self.frames[key][0], :, :]) elif t in ["LargeTrace", "SmallTrace"]: if t == "LargeTrace": t = self.trace[key][self.frames[key][-1]] else: t = self.trace[key][self.frames[key][0]] x1, y1, x2, y2 = t[:, 0], t[:, 1], t[:, 2], t[:, 3] x = np.concatenate((x1[1:], np.flip(x2[1:]))) y = np.concatenate((y1[1:], np.flip(y2[1:]))) r, c = skimage.draw.polygon(np.rint(y).astype(np.int), np.rint(x).astype(np.int), (video.shape[2], video.shape[3])) mask = np.zeros((video.shape[2], video.shape[3]), np.float32) mask[r, c] = 1 target.append(mask) else: if self.split == "CLINICAL_TEST" or self.split == "EXTERNAL_TEST": target.append(np.float32(0)) else: target.append(np.float32(self.outcome[index][self.header.index(t)])) if target != []: target = tuple(target) if len(target) > 1 else target[0] if self.target_transform is not None: target = self.target_transform(target) # Select clips from video video = tuple(video[:, s + self.period * np.arange(length), :, :] for s in start) if self.clips == 1: video = video[0] else: video = np.stack(video) if self.pad is not None: # Add padding of zeros (mean color of videos) # Crop of original size is taken out # (Used as augmentation) c, l, h, w = video.shape temp = np.zeros((c, l, h + 2 * self.pad, w + 2 * self.pad), dtype=video.dtype) temp[:, :, self.pad:-self.pad, self.pad:-self.pad] = video # pylint: disable=E1130 i, j = np.random.randint(0, 2 * self.pad, 2) video = temp[:, :, i:(i + h), j:(j + w)] return video, target def __len__(self): return len(self.fnames) def extra_repr(self) -> str: """Additional information to add at end of __repr__.""" lines = ["Target type: {target_type}", "Split: {split}"] return '\n'.join(lines).format(**self.__dict__) def _defaultdict_of_lists(): """Returns a defaultdict of lists. This is used to avoid issues with Windows (if this function is anonymous, the Echo dataset cannot be used in a dataloader). """ return collections.defaultdict(list) ## print("Done loading training data!") # define normalization layer to make sure output xi in an interval [ai, bi]: # define normalization layer to make sure output xi in an interval [ai, bi]: class IntervalNormalizationLayer(torch.nn.Module): def __init__(self): super().__init__() # new_output = [Tc, start_p, Emax, Emin, Rm, Ra, Vd] self.a = torch.tensor([0.4, 0., 0.5, 0.02, 0.005, 0.0001, 4.], dtype=torch.float32) #HR in 20-200->Tc in [0.3, 4] self.b = torch.tensor([1.7, 280., 3.5, 0.1, 0.1, 0.25, 16.], dtype=torch.float32) #taken out (initial conditions): a: 20, 5, 50; b: 400, 20, 100 def forward(self, inputs): sigmoid_output = torch.sigmoid(inputs) scaled_output = sigmoid_output * (self.b - self.a) + self.a return scaled_output class NEW3DCNN(nn.Module): def __init__(self, num_parameters): super(NEW3DCNN, self).__init__() self.conv1 = nn.Conv3d(3, 8, kernel_size=3, padding=1) self.batchnorm1 = nn.BatchNorm3d(8) self.conv2 = nn.Conv3d(8, 16, kernel_size=3, padding=1) self.batchnorm2 = nn.BatchNorm3d(16) self.conv3 = nn.Conv3d(16, 32, kernel_size=3, padding=1) self.batchnorm3 = nn.BatchNorm3d(32) self.conv4 = nn.Conv3d(32, 64, kernel_size=3, padding=1) self.batchnorm4 = nn.BatchNorm3d(64) self.conv5 = nn.Conv3d(64, 128, kernel_size=3, padding=1) self.batchnorm5 = nn.BatchNorm3d(128) self.pool = nn.AdaptiveAvgPool3d(1) self.fc1 = nn.Linear(128, 512) self.fc2 = nn.Linear(512, num_parameters) self.norm1 = IntervalNormalizationLayer() def forward(self, x): x = F.relu(self.batchnorm1(self.conv1(x))) x = F.max_pool3d(x, kernel_size=2, stride=2) x = F.relu(self.batchnorm2(self.conv2(x))) x = F.max_pool3d(x, kernel_size=2, stride=2) x = F.relu(self.batchnorm3(self.conv3(x))) x = F.max_pool3d(x, kernel_size=2, stride=2) x = F.relu(self.batchnorm4(self.conv4(x))) x = F.max_pool3d(x, kernel_size=2, stride=2) x = F.relu(self.batchnorm5(self.conv5(x))) x = self.pool(x) x = x.view(x.size(0), -1) x = F.relu(self.fc1(x)) x = self.fc2(x) x = self.norm1(x) return x # Define a neural network with one hidden layer class Interpolator(nn.Module): def __init__(self): super().__init__() self.fc1 = nn.Linear(6, 250).double() self.fc2 = nn.Linear(250, 2).double() def forward(self, x): x = torch.relu(self.fc1(x)) x = self.fc2(x) return x # Initialize the neural network net = Interpolator() net.load_state_dict(torch.load('final_model_weights/interp6_7param_weight.pt')) print("Done loading interpolator!") weights_path = 'final_model_weights/202_full_echonet_7param_Vloss_epoch_200_lr_0.001_weight_best_model.pt' model = NEW3DCNN(num_parameters = 7) model.load_state_dict(torch.load(weights_path)) model.to(device) ## PV loops #returns Plv at time t using Elastance(t) and Vlv(t)-Vd=x1 def Plv(volume, Emax, Emin, t, Tc, Vd): return Elastance(Emax,Emin,t, Tc)*(volume - Vd) #returns Elastance(t) def Elastance(Emax,Emin, t, Tc): t = t-int(t/Tc)*Tc #can remove this if only want 1st ED (and the 1st ES before) tn = t/(0.2+0.15*Tc) return (Emax-Emin)*1.55*(tn/0.7)**1.9/((tn/0.7)**1.9+1.0)*1.0/((tn/1.17)**21.9+1.0) + Emin def solve_ODE_for_volume(Rm, Ra, Emax, Emin, Vd, Tc, start_v, t): # the ODE from Simaan et al 2008 def heart_ode(y, t, Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emax, Emin, Tc): x1, x2, x3, x4, x5 = y #here y is a vector of 5 values (not functions), at time t, used for getting (dy/dt)(t) P_lv = Plv(x1+Vd,Emax,Emin,t,Tc,Vd) dydt = [r(x2-P_lv)/Rm-r(P_lv-x4)/Ra, (x3-x2)/(Rs*Cr)-r(x2-P_lv)/(Cr*Rm), (x2-x3)/(Rs*Cs)+x5/Cs, -x5/Ca+r(P_lv-x4)/(Ca*Ra), (x4-x3-Rc*x5)/Ls] return dydt # RELU for diodes def r(u): return max(u, 0.) # Define fixed parameters Rs = 1.0 Rc = 0.0398 Ca = 0.08 Cs = 1.33 Cr = 4.400 Ls = 0.0005 startp = 75. # Initial conditions start_pla = float(start_v*Elastance(Emax, Emin, 0., Tc)) start_pao = startp start_pa = start_pao start_qt = 0 #aortic flow is Q_T and is 0 at ED, also see Fig5 in simaan2008dynamical y0 = [start_v, start_pla, start_pa, start_pao, start_qt] # Solve sol = odeint(heart_ode, y0, t, args = (Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emax, Emin, Tc)) #t: list of values # volume is the first state variable plus theoretical zero pressure volume volumes = np.array(sol[:, 0]) + Vd return volumes def pvloop_simulator(Rm, Ra, Emax, Emin, Vd, Tc, start_v, animate=True): # Define initial parameters init_Emax = Emax # 3.0 # .5 to 3.5 init_Emin = Emin # 0.04 # .02 to .1 # init_Tc = Tc # .4 # .4 to 1.7 init_Vd = Vd # 10.0 # 0 to 25 # DUMMY VOLUME # def volume(t, Tc): # return 50*np.sin(2 * np.pi * t*(1/Tc))+100 # SOLVE the ODE model for the VOLUME CURVE N = 100 t = np.linspace(0, Tc*N, int(60000*N)) #np.linspace(1, 100, 1000000) volumes = solve_ODE_for_volume(Rm, Ra, Emax, Emin, Vd, Tc, start_v, t) # FUNCTIONS for PRESSURE CURVE vectorized_Elastance = np.vectorize(Elastance) vectorized_Plv = np.vectorize(Plv) def pressure(t, volume, Emax, Emin, Tc, Vd): return vectorized_Plv(volume, Emax, Emin, t, Tc, Vd) # calculate PRESSURE pressures = pressure(t, volumes, init_Emax, init_Emin, Tc, init_Vd) # Create the figure and the loop that we will manipulate fig, ax = plt.subplots() plt.ylim((0,220)) plt.xlim((0,250)) start = (N-2)*60000 end = (N)*60000 if animate: line = ax.plot(volumes[start:(start+1)], pressures[start:(start+1)], lw=1, color='b') point = ax.scatter(volumes[start:(start+1)], pressures[start:(start+1)], c="b", s=5)#, label='End Diastole') #point = ax.scatter(volumes[start:(start+1)], pressures[start:(start+1)], c="b", s=5, label='End Systole') else: line = ax.plot(volumes[start:end], pressures[start:end], lw=1, color='b') plt.title('Predicted PI-SSL LV Pressure Volume Loop', fontsize=16) #plt.rcParams['fig.suptitle'] = -2.0 #ax.set_title(f'Mitral valve circuit resistance (Rm): {Rm} mmHg*s/ml \n Aortic valve circuit resistance (Ra): {Ra} mmHg*s/ml', fontsize=6) ax.set_xlabel('LV Volume (ml)') ax.set_ylabel('LV Pressure (mmHg)') # adjust the main plot to make room for the sliders # fig.subplots_adjust(left=0.25, bottom=0.25) def update(frame): # update to add more of the loop end = (N-2)*60000+1000 * frame x = volumes[start:end] y = pressures[start:end] ax.plot(x, y, lw=1, c='b') if animate: anim = animation.FuncAnimation(fig, partial(update), frames=100, interval=30) anim.save("prediction.mp4") return plt, Rm, Ra, Emax, Emin, Vd, Tc, start_v def pvloop_simulator_plot_only(Rm, Ra, Emax, Emin, Vd, Tc, start_v): plot,_,_,_,_,_,_,_ =pvloop_simulator(Rm, Ra, Emax, Emin, Vd, Tc, start_v, animate=False) plt.title('Simulated PI-SSL LV Pressure Volume Loop', fontsize=16) return plot ######################################### # LVAD functions # RELU for diodes def r(u): return max(u, 0.) def heart_ode0(y, t, Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emax, Emin, Tc, Vd): x1, x2, x3, x4, x5 = y #here y is a vector of 5 values (not functions), at time t, used for getting (dy/dt)(t) P_lv = Plv(x1+Vd,Emax,Emin,t,Tc,Vd) dydt = [r(x2-P_lv)/Rm-r(P_lv-x4)/Ra, (x3-x2)/(Rs*Cr)-r(x2-P_lv)/(Cr*Rm), (x2-x3)/(Rs*Cs)+x5/Cs, -x5/Ca+r(P_lv-x4)/(Ca*Ra), (x4-x3-Rc*x5)/Ls] return dydt def getslope(y1, y2, y3, x1, x2, x3): sum_x = x1 + x2 + x3 sum_y = y1 + y2 + y3 sum_xy = x1*y1 + x2*y2 + x3*y3 sum_xx = x1*x1 + x2*x2 + x3*x3 # calculate the coefficients of the least-squares line n = 3 slope = (n*sum_xy - sum_x*sum_y) / (n*sum_xx - sum_x*sum_x) return slope ### ODE: for each t (here fixed), gives dy/dt as a function of y(t) at that t, so can be used for integrating the vector y over time #it is run for each t going from 0 to tmax def lvad_ode(y, t, Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emax, Emin, Tc, Vd, ratew): #from simaan2008dynamical: Ri = 0.0677 R0 = 0.0677 Rk = 0.0 x1bar = 1. alpha = -3.5 Li = 0.0127 L0 = 0.0127 b0 = -0.296 b1 = -0.027 b2 = 9.9025e-7 x1, x2, x3, x4, x5, x6, x7 = y #here y is a vector of 5 values (not functions), at time t, used for getting (dy/dt)(t) P_lv = Plv(x1+Vd,Emax,Emin,t,Tc,Vd) if (P_lv <= x1bar): Rk = alpha * (P_lv - x1bar) Lstar = Li + L0 + b1 Lstar2 = -Li -L0 +b1 Rstar = Ri + R0 + Rk + b0 dydt = [-x6 + r(x2-P_lv)/Rm-r(P_lv-x4)/Ra, (x3-x2)/(Rs*Cr)-r(x2-P_lv)/(Cr*Rm), (x2-x3)/(Rs*Cs)+x5/Cs, -x5/Ca+r(P_lv-x4)/(Ca*Ra) + x6/Ca, (x4-x3)/Ls-Rc*x5/Ls, -P_lv / Lstar2 + x4/Lstar2 + (Ri+R0+Rk-b0) / Lstar2 * x6 - b2 / Lstar2 * x7**2, ratew] return dydt #returns pv loop and ef when there is no lvad: def f_nolvad(Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emin, Vd, Tc, start_v, Emax, showpvloop): N = 20 start_pla = float(start_v*Elastance(Emax, Emin, 0.0, Tc)) start_pao = 75. start_pa = start_pao start_qt = 0.0 #aortic flow is Q_T and is 0 at ED, also see Fig5 in simaan2008dynamical y0 = [start_v, start_pla, start_pa, start_pao, start_qt] t = np.linspace(0, Tc*N, int(60000*N)) #spaced numbers over interval (start, stop, number_of_steps), 60000 time instances for each heart cycle #changed to 60000 for having integer positions for Tmax #obtain 5D vector solution: sol = odeint(heart_ode0, y0, t, args = (Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emax, Emin, Tc,Vd)) #t: list of values result_Vlv = np.array(sol[:, 0]) + Vd result_Plv = np.array([Plv(v+Vd, Emax, Emin, xi, Tc, Vd) for xi,v in zip(t,sol[:, 0])]) #if showpvloop: plt.plot(result_Vlv[18*60000:20*60000], result_Plv[18*60000:20*60000], color='black', label='Without LVAD') ved = sol[19*60000, 0] + Vd ves = sol[200*int(60/Tc)+9000+19*60000, 0] + Vd ef = (ved-ves)/ved * 100. minv = min(result_Vlv[19*60000:20*60000-1]) minp = min(result_Plv[19*60000:20*60000-1]) result_pao = np.array(sol[:, 3]) pao_ed = min(result_pao[(N-1)*60000:N*60000-1]) pao_es = max(result_pao[(N-1)*60000:N*60000-1]) return ef, pao_ed, pao_es, ((ved - ves) * 60/Tc ) / 1000, sol[19*60000, 0], sol[19*60000, 1], sol[19*60000, 2], sol[19*60000, 3], sol[19*60000, 4], result_Vlv[18*60000:20*60000], result_Plv[18*60000:20*60000] #returns the w at which suction occurs: (i.e. for which the slope of the envelopes of x6 becomes negative) def get_suctionw(Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emin, Vd, Tc, start_v, Emax, y00, y01, y02, y03, y04, w0, x60, ratew): #slope is slope0 for w N = 70 start_pla = float(start_v*Elastance(Emax, Emin, 0.0, Tc)) start_pao = 75. start_pa = start_pao start_qt = 0 #aortic flow is Q_T and is 0 at ED, also see Fig5 in simaan2008dynamical y0 = [start_v, start_pla, start_pa, start_pao, start_qt, x60, w0] y0 = [y00, y01, y02, y03, y04, x60, w0] ncycle = 20000 n = N * ncycle sol = np.zeros((n, 7)) t = np.linspace(0., Tc * N, n) for j in range(7): sol[0][j] = y0[j] result_Vlv = [] result_Plv = [] result_x6 = [] result_x7 = [] envx6 = [] timesenvx6 = [] slopes = [] ws = [] minx6 = 99999 tmin = 0 tlastupdate = 0 lastw = w0 update = 1 #solve the ODE step by step by adding dydt*dt: for j in range(0, n-1): #update y with dydt * dt y = sol[j] dydt = lvad_ode(y, t[j], Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emax, Emin, Tc, Vd, ratew) for k in range(7): dydt[k] = dydt[k] * (t[j+1] - t[j]) sol[j+1] = sol[j] + dydt #update the min of x6 in the current cylce. also keep the time at which the min is obtained (for getting the slope later) if (minx6 > sol[j][5]): minx6 = sol[j][5] tmin = t[j] #add minimum of x6 once each cycle ends: (works). then reset minx6 to 99999 for calculating again the minimum if (j%ncycle==0 and j>1): envx6.append(minx6) timesenvx6.append(tmin) minx6 = 99999 if (len(envx6)>=3): slope = getslope(envx6[-1], envx6[-2], envx6[-3], timesenvx6[-1], timesenvx6[-2], timesenvx6[-3]) slopes.append(slope) ws.append(y[6]) for i in range(n): result_x6.append(sol[i, 5]) result_x7.append(sol[i, 6]) suction_w = 0 for i in range(2, len(slopes)): if (slopes[i] < 0): suction_w = ws[i-1] break return suction_w def f_lvad(Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emin, Vd, Tc, start_v, Emax, c, slope, w0, x60, y00, y01, y02, y03, y04): #slope is slope0 for w N = 70 y0 = [y00, y01, y02, y03, y04, x60, w0] ncycle = 10000 n = N * ncycle sol = np.zeros((n, 7)) t = np.linspace(0., Tc * N, n) for j in range(7): sol[0][j] = y0[j] result_Vlv = [] result_Plv = [] result_x6 = [] result_x7 = [] envx6 = [] timesenvx6 = [] minx6 = 99999 tmin = 0 tlastupdate = 0 lastw = w0 update = 1 ratew = 0 #6000/60 #solve the ODE step by step by adding dydt*dt: for j in range(0, n-1): #update y with dydt * dt y = sol[j] dydt = lvad_ode(y, t[j], Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emax, Emin, Tc, Vd, ratew) for k in range(7): dydt[k] = dydt[k] * (t[j+1] - t[j]) sol[j+1] = sol[j] + dydt #update the min of x6 in the current cylce. also keep the time at which the min is obtained (for getting the slope later) if (minx6 > sol[j][5]): minx6 = sol[j][5] tmin = t[j] #add minimum of x6 once each cycle ends: (works). then reset minx6 to 99999 for calculating again the minimum if (j%ncycle==0 and j>1): envx6.append(minx6) timesenvx6.append(tmin) minx6 = 99999 #update w (if 0.005 s. have passed since the last update): if (slope<0): update = 0 if (t[j+1] - tlastupdate > 0.005 and slope>0 and update==1): #abs(slope)>0.0001 # if there are enough points of envelope: calculate slope: if (len(envx6)>=3): slope = getslope(envx6[-1], envx6[-2], envx6[-3], timesenvx6[-1], timesenvx6[-2], timesenvx6[-3]) sol[j+1][6] = lastw + c * slope #otherwise: take arbitrary rate (see Fig. 16a in simaan2008dynamical) else: sol[j+1][6] = lastw + 0.005 * slope #save w(k) (see formula (8) simaan2008dynamical) and the last time of update t[j] (will have to wait 0.005 s for next update of w) tlastupdate = t[j+1] lastw = sol[j+1][6] #save functions and print MAP, CO: map = 0 Pao = [] for i in range(n): result_Vlv.append(sol[i, 0] + Vd) result_Plv.append(Plv(sol[i, 0]+Vd, Emax, Emin, t[i], Tc, Vd)) result_x6.append(sol[i, 5]) result_x7.append(sol[i, 6]) Pao.append(sol[i, 3]) colors0=np.zeros((len(result_Vlv[65*ncycle:70*ncycle]), 3)) for col in colors0: col[0]=41/255 col[1]=128/255 col[2]=205/255 #get co and ef: ved = max(result_Vlv[50 * ncycle:52 * ncycle]) ves = min(result_Vlv[50 * ncycle:52 * ncycle]) #ves = result_Vlv[50 * ncycle + int(ncycle * 0.2 /Tc + 0.15 * ncycle)] ef = (ved-ves)/ved*100 CO = ((ved - ves) * 60/Tc ) / 1000 #get MAP: for i in range(n - 5*ncycle, n): map += sol[i, 2] map = map/(5*ncycle) result_pao = np.array(sol[:, 3]) pao_ed = min(Pao[50 * ncycle:52 * ncycle]) pao_es = max(Pao[50 * ncycle:52 * ncycle]) return ef, pao_ed, pao_es, CO, map, result_Vlv[65*ncycle:70*ncycle], result_Plv[65*ncycle:70*ncycle] ############################# ## Demo functions def generate_example(): # get random input data_path = 'EchoNet-Dynamic' image_data = Echo(root = data_path, split = 'all', target_type=['Filename','LargeIndex','SmallIndex']) image_loaded_data = DataLoader(image_data, batch_size=30, shuffle=True) val_data = next(iter(image_loaded_data)) #create_echo_clip(val_data,'test') val_seq = val_data[0] val_tensor = torch.tensor(val_seq, dtype=torch.float32) n=random.randint(0, 27) results = model(val_tensor)[n] filename = val_data[1][0][n] video = f"EchoNet-Dynamic/Videos/{filename}" plot, Rm, Ra, Emax, Emin, Vd,Tc, start_v = pvloop_simulator(Rm=round(results[4].item(),2), Ra=round(results[5].item(),2), Emax=round(results[2].item(),2), Emin=round(results[3].item(),2), Vd=round(results[6].item(),2), Tc=round(results[0].item(),2), start_v=round(results[1].item(),2)) video = video.replace("avi", "mp4") #video = f"""""" animated = "prediction.mp4" #""" # #
# # # # """ #"prediction.mp4" #""" # style="width:48px;height:48px;" # "" # "prediction.mp4" return video, animated, Rm, Ra, Emax, Emin, Vd, Tc, start_v def lvad_plots(Rm, Ra, Emax, Emin, Vd, Tc, start_v, beta): ncycle = 10000 Rs = 1. Rc = 0.0398 Ca= 0.08 Cs= 1.33 Cr= 4.4 Ls=0.0005 #get values for periodic loops: ef_nolvad, pao_ed, pao_es, co_nolvad, y00, y01, y02, y03, y04, Vlv0, Plv0 = f_nolvad(Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emin, Vd,Tc, start_v, Emax, 0.0) #pao_eds = [pao_ed] #pao_ess = [pao_es] #get suction w: (make w go linearly from w0 to w0 + maxtime * 400, and find w at which suction occurs) w0 = 5000. ratew = 400. x60 = 0. suctionw = get_suctionw(Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emin, Vd, Tc, start_v, Emax, y00, y01, y02, y03, y04, w0, x60, ratew) #gamma = 1.8 c = 0.065 #(in simaan2008dynamical: 0.67, but too fast -> 0.061 gives better shape) slope0 = 100. w0 = suctionw * beta #if doesn't work (x6 negative), change gamma down to 1.4 or up to 2.1 # switch to beta = 1/gamma 3/12 for interpretability #compute new pv loops and ef with lvad added: new_ef, pao_ed, pao_es, CO, MAP, Vlvs, Plvs = f_lvad(Rs, Rm, Ra, Rc, Ca, Cs, Cr, Ls, Emin, Vd, Tc, start_v, Emax, c, slope0, w0, x60, y00, y01, y02, y03, y04) fig, ax = plt.subplots() ax.plot(Vlv0, Plv0, color='blue', label='No LVAD') #blue ax.plot(Vlvs, Plvs, color=(78/255, 192/255, 44/255), label=f"LVAD, ω(0)= {round(w0,2)}r/min") #green plt.xlabel('LV volume (ml)') plt.ylabel('LV pressure (mmHg)') plt.legend(loc='upper left', framealpha=1) plt.ylim((0,220)) plt.xlim((0,250)) #plt.title('Simulated PI-SSL LV Pressure Volume Loop', fontsize=16) return plt, round(ef_nolvad,2), round(new_ef,2), round(co_nolvad,2), round(CO, 2) title = " Keying Kuang, Frances Dean, Jack B. Jedlicki, David Ouyang, Anthony Philippakis, David Sontag, Ahmed Alaa
We develop methodology for predicting digital twins from non-invasive cardiac ultrasound images in Non-Invasive Medical Digital Twins using Physics-Informed Self-Supervised Learning. Check out our code. \n \n We demonstrate the ability of our model to predict left ventricular pressure-volume loops using image data here. To run example predictions on samples from the EchoNet dataset, click the first button. \n \n
""" title2 = "