Mapping epileptogenic brain using a unified spatial–temporal–spectral source imaging framework
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The authors' code
MATLAB · 548 lines · 15 KB · CC-BY-NC-SA-4.0
- %% Load the data, plot it and do tensor decomposition
- clear; close all; clc
- subjID = 'Example_Patient1';
- startup_patient;
- cd(GridLoc_Folder)
- Elec_loc_file = dir('*.xyz');
- Elec_loc = readlocs(Elec_loc_file.name);
- cd(Spk_Folder)
- load([subjID '_hfo_spike_data.mat']);
- Data_Signal = pEventData;
- cd(Code_Folder)
- %==========%
- sRate = 500;
- channel = 27;
- sig = Data_Signal(channel,:);
- [wt,F] = cwt(sig,sRate,'FrequencyLimits',[0 200],'VoicesPerOctave',10);
- S = abs(wt);
- S_complex = wt;
- %==========%
- Tensor = zeros(size(Data_Signal,1),size(Data_Signal,2),40);
- sRate = 500;
- inputcase = 2; % 1 is the amplitude , 2 is the real part, 3 is the imaginary part, 4 is complex tensor
- for channel = 1:size(Data_Signal,1)
- sig = Data_Signal(channel,:);
- [wt,F] = cwt(sig,sRate,FrequencyLimits=[0 200]);
- S = abs(wt);
- S_complex = wt;
- switch inputcase
- case 1
- S = sqrt(squeeze(S));
- case 2
- S = squeeze(real(S_complex));
- case 3
- S = squeeze(imag(S_complex));
- case 4
- S = S_complex;
- end
- for freq = 1:length(F)
- for time = 1:size(Data_Signal,2)
- Tensor(channel,time,freq) = S(freq,time);
- end
- end
- end
- switch inputcase
- case 1
- R = 50;
- case 2
- R = 50;
- case 3
- R = 50;
- case 4
- R = 50;
- end
- % Compute the CPD of the full tensor T.
- %options.Algorithm = @cpd_minf;
- init = @cpd_gevd;
- rng('default');
- rng(0)
- %
- Uhat = cpd(Tensor,R,'Initialization', init);
- %====% if simply use the determinstic method, the generalized eignevector
- %method for tensor decomposition
- %Uhat = cpd_gevd(Tensor,R);
- %=====%
- Topo_ICA = Uhat{1};
- Act = Uhat{2};
- Spectrum = Uhat{3};
- if(inputcase == 4 )
- Topo_ICA = real(Topo_ICA);
- Act = real(Act);
- Spectrum = real(Spectrum);
- end
- % save all the components into figures
- cd(Fig_Folder)
- for r = 1:R
- fig1 = figure('visible','off');
- subplot (1,3,1);
- topoplot(Topo_ICA(:,r),Elec_loc,'plotrad',0.55,'electrodes','on');
- subplot (1,3,2);
- plot(Act(:,r));
- set(gca,'FontSize',10)
- subplot (1,3,3);
- plot(F,Spectrum(:,r));
- set(gca,'FontSize',10)
- [~,maxfreqindex] = max(abs(Spectrum(:,r)));
- title(['main freq:' num2str(F(maxfreqindex))]);
- fig1.Position = [100 100 1000 400];
- saveas(fig1,[num2str(r) '.jpg']);
- end
- %%
- %=====Reconstruct the spatialtemporal signal using certain components====%
- Topo_ICA = Uhat{1};
- Act = Uhat{2};
- Spectrum = Uhat{3};
- if(inputcase == 4 )
- Topo_ICA = real(Topo_ICA);
- Act = real(Act);
- Spectrum = real(Spectrum);
- end
- component_selected = [5,49];
- freq_select = [14];
- Uhat_approx1 = Topo_ICA(:,component_selected); % spatial
- Uhat_approx2 = Act(:,component_selected); % temporal
- Uhat_approx3 = Spectrum(:,component_selected); % spectral
- Uhat_approx2 = Uhat_approx2(:,:);
- Uhat_approx3 = Uhat_approx3(freq_select,:);
- Uhat_approx = {Uhat_approx1,Uhat_approx2,Uhat_approx3};
- Tensor_Groundtruth = Tensor(:,:,freq_select);
- Num_TBF = length(component_selected);
- cd(GridLoc_Folder);
- load('UnconstCentLFD.mat')
- Norm_K = svds(K,1)^2;
- load('Gradient.mat')
- load('Laplacian.mat')
- load('NewMesh.mat')
- load('LFD_Fxd_Vertices.mat')
- load('Edge.mat')
- V = kron(V,eye(3));
- load('Neighbor.mat')
- Number_dipole = numel(K(1,:));
- Location = New_Mesh(1:3,:);
- TRI = currytri.';
- Vertice_Location = curryloc;
- Number_edge = numel(V(:,1));
- cd(Code_Folder)
- % Select an extended source and display it on the cortex
- CortexViewInit;
- figure
- h1 = trisurf(TRI,Vertice_Location(1,:),Vertice_Location(2,:),Vertice_Location(3,:),(0)); colorbar;
- set(h1,'EdgeColor','None', 'FaceAlpha',1,'FaceLighting','phong');
- hold on
- hold off
- light_position = [3 3 1];
- light('Position',light_position);
- light_position = [-3 -3 -1];
- light('Position',light_position);
- colorbar;
- x_max = 1;
- %x_max = 0.05;
- caxis([-x_max x_max]);
- view([-1,0.25,0.15])
- grid off
- axis off
- %colorbar('off')
- colormap(cmap)
- position = [-38,-23,92]';
- J = zeros(Number_dipole,1);
- dist = norms(Location - position);
- index_dist = find(dist<20);
- J_abbas = reshape(repmat(J,1,Num_TBF), [3, Number_dipole/3, Num_TBF]);
- J_abbas(:,index_dist,:) = 1;
- J_abbas_2 = squeeze(reshape(J_abbas,[Number_dipole,1,Num_TBF]));
- % % number of J is equal to number of triangles
- J_abbas_1 = squeeze(norms(J_abbas,1));
- % %================%
- J_abbas_1 = sum(J_abbas_1.^2,2);
- % %================%
- J_init_plot = (J_abbas_1);
- figure
- h1 = trisurf_customized(TRI,Vertice_Location(1,:),Vertice_Location(2,:),Vertice_Location(3,:),(J_init_plot)); colorbar;
- set(h1,'EdgeColor','None', 'FaceAlpha',1,'FaceLighting','phong');
- hold on
- hold off
- light_position = [3 3 1];
- light('Position',light_position);
- light_position = [-3 -3 -1];
- light('Position',light_position);
- colorbar;
- x_max = max(sum(abs(J_init_plot),2));
- if(size(J_init_plot,1) == 1)
- x_max = max(abs(J_init_plot));
- end
- %x_max = 0.05;
- caxis([-x_max x_max]);
- view(perspect)
- grid off
- axis off
- %colorbar('off')
- colormap(cmap)
- %
- Uhat_J_ini = J_abbas_2;
- sum0 = sum(Uhat_J_ini,2);
- index_choose_SourceSpatial = find(sum0~=0);
- %Tensor;
- N_SourceSpatial = Number_dipole; % Number of dipoles, if unconstrained, then is 3*number dipole
- N_Temporal = size(Uhat_approx2,1); % Number of time points
- N_Spectral = size(Uhat_approx3,1); % Number of frequencies included in the analysis
- N_channel = size(Data_Signal,1);
- SensorSpaceTensor = zeros(N_channel,N_Temporal,N_Spectral);
- %
- %======= this is the matrix multiplcation method
- J1 = kron(eye(N_Spectral),J_abbas_2);
- TBF = [];
- for nn1 = 1:N_Spectral
- TBF = [TBF;Uhat_approx3(nn1,:)'.*Uhat_approx2'];
- end
- JA = J1*conj(TBF);
- K1 = kron(eye(N_Spectral),K);
- KJA = K1*JA;
- KJA1 = KJA(1:N_channel,:);
- KJA1_true= SensorSpaceTensor(:,:,1);
- TBF_tensor = zeros(Num_TBF,N_Temporal,N_Spectral);
- for nn1 = 1:N_Spectral
- TBF_tensor(:,:,nn1) = Uhat_approx3(nn1,:)'.*Uhat_approx2';
- end
- %=====
- Phi_tensor = Tensor_Groundtruth;
- Sig_st = 135;
- Sig_end = 170;
- Noise_st = 1;
- Noise_end = 100;
- num_it_x = 25;
- num_it_y = 25;
- Number_iteration = 4;
- parms = cell(N_Spectral,1);
- for iter_TBF = 1:N_Spectral
- Phi = squeeze(Phi_tensor(:,:,iter_TBF));
- TBF = squeeze(TBF_tensor(:,:,iter_TBF));
- Phi_noisy = Phi(:,:);
- [Number_sensor,Number_Source] = size(Phi_noisy);
- % Estimating Noise and Initializing
- N_wht = Phi_noisy - Phi_noisy*TBF.'*pinv(TBF*TBF.')*TBF;
- Noise_only = Phi_noisy(:,Noise_st:Noise_end);
- SNR_unused = norm(Phi_noisy,'fro')^2/norm(Noise_only,'fro')^2; % a SNR that is not used
- % Noise Estimation try different options
- Sigma_inv_half = 1*diag(1./std(Noise_only(:,:),[],2));
- %==============%
- Sigma_inv_half = diag(repmat(mean(diag(Sigma_inv_half)),[Number_sensor 1]));
- %==============%
- Phi_noisy = Phi_noisy(:,Sig_st:Sig_end);
- TBF = TBF (:,Sig_st:Sig_end);
- psi = Phi_noisy*(TBF.')/(TBF*(TBF.'));
- % Initializing the Solution
- SNR_avg = mean(std(Sigma_inv_half*Phi_noisy(:,1:end),[],2).^2)/mean(std(Sigma_inv_half*Noise_only,[],2).^2)
- D_W = ((norms(K+10^-20).^-1));
- K_n = (Sigma_inv_half*K).*repmat(D_W,[Number_sensor 1]);
- psi_n = Sigma_inv_half*psi;
- [~, gam] = eig((Sigma_inv_half^1*K)*((Sigma_inv_half*K).'));
- %======%
- Smf = 10^3; % smooth factor
- %======%
- J_ini = (K_n.'*pinv(K_n*K_n.' + mean(diag(gam))*(Smf/SNR_avg)*eye(Number_sensor))*psi_n).*repmat(D_W',[1 Num_TBF]);
- %J_ini = randn(size(J_ini))*norm(J_ini,1);
- close all
- [Number_sensor,Number_Source] = size(Phi_noisy);
- epsilon = 0.1;
- % Noise Power Parameter (Chi_2 Dist Theory)
- prob = 0.95;
- beta = icdf('chi2',prob,Number_sensor-1); % Spike Avg
- Phi_norm = Sigma_inv_half*(Phi_noisy(:,:));
- K_norm = Sigma_inv_half*(K);
- power = sum((Sigma_inv_half*Noise_only).^2,1);
- power_signal = sqrt(sum(Phi_noisy.^2,2))/size(Phi_noisy,2);
- power_noise = sqrt(sum(Noise_only.^2,2))/size(Noise_only,2);
- SNR_allchannel = power_signal./power_noise;
- SNR = mean(SNR_allchannel);
- disp(['SNR of the data is ' num2str(SNR)]);
- [X,B] = hist(power,100);
- Sum_X = cumsum(X)/sum(X);
- ind_90 = find(Sum_X > 0.90); B(ind_90(1,1));
- ind_95 = find(Sum_X > 0.95); B(ind_95(1,1));
- ind_50 = find(Sum_X > 0.50); B(ind_50(1,1));
- CF_min = beta/(norm(Phi_norm,'fro')^2/Number_Source);
- %==============%
- CF = max(beta/B(ind_50(1,1)),CF_min) ;
- %==============%
- %=============%
- alpha_vec = 0.35;
- Num_alpha = numel(alpha_vec);
- %=============%
- % Variables to save results
- J_sol = zeros(Number_dipole,Num_TBF,Number_iteration,Num_alpha);
- Y_sol = zeros(Number_edge,Num_TBF,Number_iteration,Num_alpha);
- W_sol = zeros(Number_dipole,Num_TBF,Number_iteration,Num_alpha);
- W_d_sol = zeros(Number_edge,Num_TBF,Number_iteration,Num_alpha);
- J_sol_2 = J_sol;
- Y_sol_2 = Y_sol;
- % Weighting the depth - initializing weighting matrix
- M = size(K,2);
- N = size(V,1);
- W = ones(M,Num_TBF);
- W_d = ones(N,Num_TBF);
- % Initialize optimization parameters - set number of iterations, etc.
- Lambda_min = Norm_K*sqrt(Number_sensor)/max(norms(K.'*Phi_noisy));
- C_t = (TBF*(TBF.'));
- TBF_norm = TBF.'*(C_t\TBF);
- T_norm = (TBF.')/C_t;
- alpha = alpha_vec;
- lambda = 6*max(1, Lambda_min);
- W_v = (V.')*V;
- L_v = 1.1*svds(W_v,1);
- x_0 = zeros(Number_dipole,Num_TBF);
- eps = 10^-3;
- betta_tilda = (norm(Phi_norm,'fro')^2/SNR)/CF;
- Abbas = K_norm*(K_norm.');
- [U, D, ~] = svd(Abbas);
- K_U = U.'*K_norm;
- parms{iter_TBF}.lambda = lambda;
- parms{iter_TBF}.betta_tilda = betta_tilda;
- parms{iter_TBF}.Phi_norm = Phi_norm;
- parms{iter_TBF}.TBF = TBF;
- parms{iter_TBF}.TBF_norm = TBF_norm;
- parms{iter_TBF}.T_norm = T_norm;
- parms{iter_TBF}.U = U;
- parms{iter_TBF}.D = D;
- parms{iter_TBF}.K_norm = K_norm;
- parms{iter_TBF}.K_U = K_U;
- end
- num_it_new = 0;
- stop_crt = 10^-3;
- % Initialize the optimization problem, Loop through till convergence,
- % update the weights using the iterative re-weighting schema and solve
- % agian until convergence or counter overflow.
- stop_itr = 0;
- weight_it = 0;
- max_weight_itr_num = Number_iteration;
- t1 = tic;
- res_obj_combined = cell(0);
- for i_alpha = 1:Num_alpha
- alpha = alpha_vec(i_alpha);
- x_0 = J_ini;
- stop_itr = 0;
- weight_it = 0;
- W = ones(M,Num_TBF);
- W_d = ones(N,Num_TBF);
- while (~stop_itr)
- weight_it = weight_it + 1;
- if weight_it > max_weight_itr_num
- stop_itr = 1;
- end
- [J,Y,res_obj] = FISTA_ADMM_IRES_Tensor (alpha, W_v, V, L_v,x_0, W, W_d, eps,num_it_x,num_it_y,num_it_new,parms);
- res_obj_combined{end+1} = res_obj;
- x_0 = J;
- J_sol(:,:,weight_it,i_alpha) = J;
- Y_sol(:,:,weight_it,i_alpha) = Y;
- J_n = reshape(J, [3, Number_dipole/3, Num_TBF]);
- Ab_J = squeeze(norms(J_n))+10^-20;
- if(size(Ab_J,1) == 1)
- Ab_J = Ab_J';
- end
- Y_n = reshape(V*J, [3, Number_edge/3, Num_TBF]);
- Ab_Y = squeeze(norms(Y_n))+10^-20;
- if(size(Ab_Y,1) == 1)
- Ab_Y = Ab_Y';
- end
- W_old = W;
- W_tr = 1./(0 + Ab_J./(repmat(max(Ab_J),[Number_dipole/3 1])) + (epsilon+10^-16) );
- W = circshift(upsample(W_tr,3),[0 0]) + circshift(upsample(W_tr,3),[1 0]) + circshift(upsample(W_tr,3),[2 0]);
- W_d_old = W_d;
- W_d_tr = 1./(0 + Ab_Y./(repmat(max(Ab_Y),[Number_edge/3 1]))+(epsilon+10^-16));
- W_d = circshift(upsample(W_d_tr,3),[0 0]) + circshift(upsample(W_d_tr,3),[1 0]) + circshift(upsample(W_d_tr,3),[2 0]);
- W_sol(:,:,weight_it,i_alpha) = W;
- W_d_sol(:,:,weight_it,i_alpha) = W_d;
- if (norm(W-W_old)/norm(W_old) < stop_crt && norm(W_d-W_d_old)/norm(W_d_old) < stop_crt)
- stop_itr = 1;
- end
- clc
- figure
- h1 = trisurf_customized(TRI,Vertice_Location(1,:),Vertice_Location(2,:),Vertice_Location(3,:),sum((Ab_J),2)); colorbar
- set(h1,'EdgeColor','None', 'FaceAlpha',1,'FaceLighting','phong');
- light_position = [3 3 1];
- light('Position',light_position);
- light_position = [-3 -3 -1];
- light('Position',light_position);
- colorbar;
- x_max = max(abs(sum(J,2)));
- if isnan(x_max)
- x_max = 1;
- end
- caxis([-x_max x_max]);
- view(232,-5)
- grid off
- colormap(cmap)
- cd(Fig_Folder)
- cd('STSI')
- name_fig = ['TBF_1st_Iteration_',num2str(weight_it),'.fig'];
- saveas(gcf,name_fig)
- name_fig = ['TBF_1st_Iteration_',num2str(weight_it),'.jpeg'];
- saveas(gcf,name_fig)
- end
- close all;
- end
- t_elaps = toc(t1);
- disp(['total time elapsed in hours: ' num2str(t_elaps/3600)]);
- %%
- J = squeeze(J_sol(:,:,end,1));
- Num_TBF = size(J,2);
- J_abbas = reshape(J, [3, Number_dipole/3, Num_TBF]);
- % number of J is equal to number of triangles
- J_abbas_1 = squeeze(norms(J_abbas,1));
- %================%
- J_abbas_2 = J_abbas_1.^2*sum(squeeze(var(TBF_tensor(),[],2)),2);
- J_abbas_2 = J_abbas_2(:);
- %================%
- J_init = (J_abbas_2);
- figure
- h1 = trisurf_customized(TRI,Vertice_Location(1,:),Vertice_Location(2,:),Vertice_Location(3,:),(J_init)); colorbar;
- set(h1,'EdgeColor','None', 'FaceAlpha',1,'FaceLighting','phong');
- hold on
- hold off
- light_position = [3 3 1];
- light('Position',light_position);
- light_position = [-3 -3 -1];
- light('Position',light_position);
- colorbar;
- x_max = max(sum(abs(J_init),2));
- if(size(J_init,1) == 1)
- x_max = max(abs(J_init));
- end
- caxis([-x_max x_max]);
- view(-119,12)
- grid off
- axis off
- %colorbar('off')
- colormap(cmap)
- % Now instead of plotting the whole J distribution, we find clusters (patches)
- % of J that has magnitude corssing a threshold
- J_col = J_abbas_2;
- %================%
- Thr = 1/64;
- %================%
- J_col(abs(J_col)<Thr*max(abs(J_col)))=0;
- IND = Find_Patch(Edge, 1, J_col);
- J_init = IND;
- J_seg = IND;
- J_abbas_2 = J_abbas_2.*IND;
- figure
- h1 = trisurf_customized(TRI,Vertice_Location(1,:),Vertice_Location(2,:),Vertice_Location(3,:),(J_abbas_2));
- hold off
- colorbar;
- set(h1,'EdgeColor','None', 'FaceAlpha',1,'FaceLighting','phong');
- light_position = [3 3 1];
- light('Position',light_position);
- light_position = [-3 -3 -1];
- light('Position',light_position);
- colorbar;
- x_max = max(sum(abs(J_abbas_2),2));
- caxis([-x_max x_max]);
- view(232,-5)
- grid off
- axis on
- colormap(cmap)
- cd(Code_Folder)
Example_Patient1_Event1_pHFO.m at commit 98ec2c9, under CC-BY-NC-SA-4.0 · at the source
Overview
- Department of Biomedical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213
- Department of Neurology, Mayo Clinic, Rochester, MN 55905
Abstract
The abstract is not reproduced here: the paper's license (none stated) does not allow it. Read it in the paper, at the publisher or on Europe PMC.
Repository
Its files are read in the Code ↔ Paper reader above.
bfinl/STSI
98ec2c90434f01624cd843b374f3ffc40c11dc28, 8 December 2025Availability: 1 check, the latest on 26 September 2026: the link answers
- 26 September 2026: the link answers
17 files
- Codes/
Example_Patient1_Event1_ , MATLAB, 548 linespHFO.m - Codes/
Example_Patient1_Event1_ , MATLAB, 565 linespSpk.m - Codes/
Example_Patient1_Seizure , MATLAB, 552 lines1.m - Codes/
RelevantFunctions/ , MATLAB, 16 linesArea.m - Codes/
RelevantFunctions/ , MATLAB, 15 linesCortexViewInit.m - Codes/
RelevantFunctions/ , MATLAB, 159 linesFISTA_ADMM_IRES_Tensor.m - Codes/
RelevantFunctions/ , MATLAB, 76 linesFind_Patch.m - Codes/
RelevantFunctions/ , MATLAB, 50 linesProj_Flat_Hyper_Ellips.m - Codes/
RelevantFunctions/ , MATLAB, 20 linescvx_check_dimension.m - Codes/
RelevantFunctions/ , MATLAB, 24 linescvx_default_dimension.m - Codes/
RelevantFunctions/ , MATLAB, 71 linesnorms.m - Codes/
RelevantFunctions/ , MATLAB, 108 linestrisurf_customized.m - Codes/
startup_patient.m , MATLAB, 66 lines - Grid_Location_Parameters
/ , MATLAB, 41 linesExample_Patient1/ LFD_Fxd_Vertices.m - Grid_Location_Parameters
/ , MATLAB, 41 linesExample_Patient1/ LFD_Rot_Vertices.m - LICENSE.md, License, 441 lines
- README.md, Text, 9 lines
The paper's code and data availability statement is in the Data section.
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Data
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Code and data availability statement
The paper has a code and data availability statement. Its license (none stated) does not allow reproducing it here; in short, from what the harvester recognized in it:
- it points to the authors' code: bfinl/
STSI
Read it in the paper: doi.org/10.1073/pnas.2510015122.
Versions
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Version 1, 27 September 2026: the first record
Recorded: type, language, journal, volume, issue, pages, dates, 5 authors, 5 keywords, 12 MeSH terms, 4 funders, 73 references.
Cite
This paper
Jiang, X., Cai, Z., Gonsisko, C., Worrell, G. A., & He, B. (2025). Mapping epileptogenic brain using a unified spatial–temporal–spectra
BibTeX
@article{jiang2025mappin
author = {Jiang, Xiyuan and Cai, Zhengxiang and Gonsisko, Colton and Worrell, Gregory A and He, Bin},
title = {{Mapping epileptogenic brain using a unified spatial–temporal–spectra
journal = {Proceedings of the National Academy of Sciences of the United States of America},
year = {2025},
volume = {122},
number = {50},
pages = {e2510015122},
publisher = {National Academy of Sciences},
issn = {0027-8424},
doi = {10.1073/
url = {https://
pmcid = {PMC12718345}
}
RIS
TY - JOUR
AU - Jiang, Xiyuan
AU - Cai, Zhengxiang
AU - Gonsisko, Colton
AU - Worrell, Gregory A
AU - He, Bin
TI - Mapping epileptogenic brain using a unified spatial–temporal–spectra
T2 - Proceedings of the National Academy of Sciences of the United States of America
J2 - Proc Natl Acad Sci U S A
PY - 2025
DA - 2025
VL - 122
IS - 50
SP - e2510015122
SN - 0027-8424
PB - National Academy of Sciences
DO - 10.1073/
UR - https://
LA - en
ER -
CSL-JSON
{
"id": "10.1073/
"type": "article-journal",
"title": "Mapping epileptogenic brain using a unified spatial–temporal–spectra
"container-title": "Proceedings of the National Academy of Sciences of the United States of America",
"author": [
{
"family": "Jiang",
"given": "Xiyuan"
},
{
"family": "Cai",
"given": "Zhengxiang"
},
{
"family": "Gonsisko",
"given": "Colton"
},
{
"family": "Worrell",
"given": "Gregory A"
},
{
"family": "He",
"given": "Bin"
}
],
"container-title-short":
"volume": "122",
"issue": "50",
"page": "e2510015122",
"DOI": "10.1073/
"PMCID": "PMC12718345",
"ISSN": "0027-8424",
"publisher": "National Academy of Sciences",
"URL": "https://
"language": "en",
"issued": {
"date-parts": [
[
2025
]
]
}
}
The tracing map gets a citation of its own once an author has validated it and it has a DOI.
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