Biophysical modeling of anatomically realistic prenatal cortical folding development.
The 4 matches
- [1] § Methods › Postprocessing analyses and quantitative metrics ↔ abaqus_script/surfReconstruction.m, lines 124–191 · score 0.60 · Quantitative metrics, sulcal depth, gyrification, node, reconstruct, curvature
- [2] § Methods › Postprocessing analyses and quantitative metrics ↔ symbolic regression/Pysr_growth_area.py, lines 135–220 · score 0.58 · predicted model, symbolic regression, growth ratio, metrics
- [3] § Methods › Postprocessing analyses and quantitative metrics ↔ symbolic regression/Pysr_growth_thickness.py, lines 127–215 · score 0.58 · predicted model, symbolic regression, growth ratio, metrics
- [4] § Results › Modeled folding patterns align with those observed in the developing brain ↔ figure scripts/fig4a.py, lines 57–75 · score 0.52 · gestational week, simulated brains, real brain, global, GI
Paper
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The authors' code
MATLAB · 283 lines · 15 KB · no license · 1 match
- % ---------------------------------------------------------
- % ------- Code for abaqus results postprocessing ----------
- % ---------------------------------------------------------
- clc;clear;
- addpath('E:\PhD\PINN\WholeBrain\Postprocessing\functionsMat'); % matlab functions
- addpath('E:\PhD\PINN\WholeBrain\Postprocessing\datafromAbaqus\connectivityFiles\smooth'); % face connectivity
- addpath('E:\PhD\PINN\WholeBrain\Postprocessing\datafromAbaqus\rawData\dataSmooth'); % raw data from simulation
- addpath('E:\PhD\PINN\WholeBrain\Mesh\SmoothSurface\inputFiles'); % reference vtk file
- caseId = {'S01'};
- idx = 1;
- coordinate_file_gray = sprintf('Data_%s_gray_smooth.xlsx', caseId{idx});
- coordinate_file_medium = sprintf('Data_%s_medium_smooth.xlsx',caseId{idx});
- coordinate_file_white = sprintf('Data_%s_white_smooth.xlsx',caseId{idx});
- connectivity_file = sprintf('Surface_connectivity_%s_smooth.xlsx', caseId{idx});
- reference_file_inner = ['22_lh.InnerSurf_', caseId{idx}, '.vtk'];
- reference_file_outer = ['22_lh.OuterSurf_', caseId{idx}, '.vtk'];
- dataStoragePath = 'E:\PhD\PINN\WholeBrain\Postprocessing\dataTemp\';
- fullFilePath = fullfile(dataStoragePath, ['Input_', caseId{idx}]);
- if ~exist(fullFilePath, 'dir')
- mkdir(fullFilePath);
- end
- casename = ['Brain_',caseId{idx}];
- max_frame = 100;
- num_frames= max_frame/5 + 1;
- %%
- % Set parameters
- iterations = 10;
- lambda = 0.3;
- batchSize = 1000;
- % Surface and connectivity sheets
- sheets = struct( ...
- 'gray', 'graysurf_connectivity_region19', ...
- 'medium', 'midsurf_connectivity_region19', ...
- 'white', 'whitesurf_connectivity_region19');
- % Read surface connectivity
- SurfConnectivity.gray = readmatrix(connectivity_file, 'Sheet', sheets.gray);
- SurfConnectivity.medium = readmatrix(connectivity_file, 'Sheet', sheets.medium);
- SurfConnectivity.white = readmatrix(connectivity_file, 'Sheet', sheets.white);
- % Read initial coordinates
- Nodes.gray = readmatrix(coordinate_file_gray, 'Sheet', 'Frame0');
- Nodes.medium = readmatrix(coordinate_file_medium, 'Sheet', 'Frame0');
- Nodes.white = readmatrix(coordinate_file_white, 'Sheet', 'Frame0');
- % Extract node coordinates
- for type = ["gray", "medium", "white"]
- NodeCoord.(type) = Nodes.(type)(:, 1:3);
- triConn.(type) = quadToTriConnectivity(SurfConnectivity.(type), NodeCoord.(type));
- smoothedCoord.(type) = laplacianSmoothing(triConn.(type), NodeCoord.(type), iterations, lambda);
- end
- % Read parcellation info
- pvtk_inner = mvtk_read(reference_file_inner);
- pvtk_outer = mvtk_read(reference_file_outer);
- par_info_huang = pvtk_inner.par_huang;
- par_info_FS2009 = pvtk_inner.par_FS2009;
- % Compute parcellation nodes
- Nodes_par.inner = pvtk_inner.vertices;
- Nodes_par.outer = pvtk_outer.vertices;
- Nodes_par.medium = (Nodes_par.inner + Nodes_par.outer) / 2;
- % Create k-d trees
- for surface = ["inner", "medium", "outer"]
- kdtree.(surface) = createns(Nodes_par.(surface), 'NSMethod', 'kdtree');
- end
- % Assign parcellation
- par_simulation_huang.gray = assignParcellation(smoothedCoord.gray, kdtree.inner, par_info_huang, batchSize);
- par_simulation_FS2009.gray = assignParcellation(smoothedCoord.gray, kdtree.inner, par_info_FS2009, batchSize);
- par_simulation_huang.medium = assignParcellation(smoothedCoord.medium, kdtree.medium, par_info_huang, batchSize);
- par_simulation_FS2009.medium = assignParcellation(smoothedCoord.medium, kdtree.medium, par_info_FS2009, batchSize);
- par_simulation_huang.white = assignParcellation(smoothedCoord.white, kdtree.outer, par_info_huang, batchSize);
- par_simulation_FS2009.white = assignParcellation(smoothedCoord.white, kdtree.outer, par_info_FS2009, batchSize);
- %
- % ---------------------------------------------------------
- % --- Write vtk file of each frame into "Input" folder ----
- % ---------------------------------------------------------
- %
- for i =1:num_frames
- coordinate_sheet_deformed = ['Frame', num2str(5*(i-1))];
- RegionNodes_gray_deformed = readmatrix(coordinate_file_gray, 'Sheet', coordinate_sheet_deformed);
- RegionNodes_medium_deformed = readmatrix(coordinate_file_medium, 'Sheet', coordinate_sheet_deformed);
- RegionNodes_white_deformed = readmatrix(coordinate_file_white, 'Sheet', coordinate_sheet_deformed);
- NodeCoord_gray_deformed = RegionNodes_gray_deformed(:,1:3);
- NodeCoord_medium_deformed = RegionNodes_medium_deformed(:,1:3);
- NodeCoord_white_deformed = RegionNodes_white_deformed(:,1:3);
- triConnectivity_gray_deformed = triConn.gray;
- triConnectivity_medium_deformed = triConn.medium;
- triConnectivity_white_deformed = triConn.white;
- smoothedNodesCoord_gray_deformed = laplacianSmoothing(triConnectivity_gray_deformed, NodeCoord_gray_deformed, iterations, lambda);
- smoothedNodesCoord_medium_deformed = laplacianSmoothing(triConnectivity_medium_deformed, NodeCoord_medium_deformed, iterations, lambda);
- smoothedNodesCoord_white_deformed = laplacianSmoothing(triConnectivity_white_deformed, NodeCoord_white_deformed, iterations, lambda);
- vtkFilename_gray = [fullFilePath,'\gray_frame', num2str(5*(i-1)), '_',caseId{idx},'.vtk'];
- vtkFilename_medium = [fullFilePath,'\medium_frame', num2str(5*(i-1)), '_',caseId{idx},'.vtk'];
- vtkFilename_white = [fullFilePath,'\white_frame', num2str(5*(i-1)),'_',caseId{idx},'.vtk'];
- dataVTK_gray=struct('vertices',smoothedNodesCoord_gray_deformed,'faces',triConnectivity_gray_deformed,'par_huang',par_simulation_huang.gray,'par_FS2009',par_simulation_FS2009.gray);
- dataVTK_medium=struct('vertices',smoothedNodesCoord_medium_deformed,'faces',triConnectivity_medium_deformed,'par_huang',par_simulation_huang.medium,'par_FS2009',par_simulation_FS2009.medium);
- dataVTK_white=struct('vertices',smoothedNodesCoord_white_deformed,'faces',triConnectivity_white_deformed,'par_huang',par_simulation_huang.white,'par_FS2009',par_simulation_FS2009.white);
- mvtk_write(dataVTK_gray,vtkFilename_gray,'legacy');
- mvtk_write(dataVTK_medium,vtkFilename_medium,'legacy');
- mvtk_write(dataVTK_white,vtkFilename_white,'legacy');
- disp(coordinate_sheet_deformed);
- end
- disp('All vtk files have been written into "Input" folder.');
- %%
- % -------------------------------------------------------------------------------------------------------
- % --- Calculating the quantitative metrics: MC, Cortical thickness,sulcal depth, local and global GI ----
- % -------------------------------------------------------------------------------------------------------
- %
- GI = zeros(num_frames,1);
- GI_alpha = zeros(num_frames,1);
- tic;
- for i=7:9
- last_time=toc;
- pvtk_gray=mvtk_read([fullFilePath,'\gray_frame', num2str(5*(i-1)), '_',caseId{idx},'.vtk']);
- pvtk_medium=mvtk_read([fullFilePath,'\medium_frame', num2str(5*(i-1)), '_',caseId{idx},'.vtk']);
- pvtk_white=mvtk_read([fullFilePath,'\white_frame', num2str(5*(i-1)), '_',caseId{idx},'.vtk']);
- Nodes_gray=pvtk_gray.vertices;
- Nodes_medium = pvtk_medium.vertices;
- Nodes_white=pvtk_white.vertices;
- connectivity_gray=double(pvtk_gray.faces);
- par_simu_huang = pvtk_gray.par_huang;
- par_simu_FS2009 = pvtk_gray.par_FS2009;
- txtFiles = dir([dataStoragePath, 'lgi\', sprintf('gray_frame%d_%s*.txt',5*(i-1), caseId{idx})]);
- if isempty(txtFiles)
- warning('No matching file found for gray_frame%d', 5 * (i-1));
- continue;
- end
- lgiFilePath = fullfile([dataStoragePath, 'lgi\'], txtFiles(1).name);
- lgi = readmatrix(lgiFilePath);
- Cthickness1 = corticalThickness(Nodes_gray, Nodes_white);
- Cthickness2 = corticalThickness(Nodes_gray, Nodes_medium);
- [GC, MC_dimensionless, MC, k_max, k_min, shapeIndex]= Curvatures(connectivity_gray,Nodes_gray(:,1),Nodes_gray(:,2),Nodes_gray(:,3)); % calculate the mean curvature
- data_to_smooth = [GC, MC_dimensionless, MC, k_max, k_min, shapeIndex];
- smoothed_data = dataSmoothing(Nodes_gray, connectivity_gray, data_to_smooth, 10, 0.5);
- GC_corr = smoothed_data(:,1);
- MC_corr = smoothed_data(:,2);
- MC_dimensionless_corr = smoothed_data(:,3);
- k_max_corr = smoothed_data(:,4);
- k_min_corr = smoothed_data(:,5);
- shapeIndex_corr = smoothed_data(:,6);
- [Connectivity_hull, vertices_hull, GI(i)]= GyrificationIndex(connectivity_gray,Nodes_gray(:,1),Nodes_gray(:,2),Nodes_gray(:,3)); % calculate the global GI
- SulcDepth = SulcalDepth(Connectivity_hull,vertices_hull,Nodes_gray(:,1),Nodes_gray(:,2),Nodes_gray(:,3)); % calculate the sulcal depth
- [Connectivity_hull_alpha, vertices_hull_alpha, GI_alpha(i)]= GyrificationIndex_alphashape(connectivity_gray,Nodes_gray(:,1),Nodes_gray(:,2),Nodes_gray(:,3)); % calculate the global GI
- SulcDepth_alpha = SulcalDepth_alphashape(Connectivity_hull_alpha,vertices_hull_alpha,Nodes_gray(:,1),Nodes_gray(:,2),Nodes_gray(:,3)); % calculate the sulcal depth
- SulcDepth_alpha_shrink = SulcalDepth_alphashape_shrink(Connectivity_hull_alpha,vertices_hull_alpha,Nodes_gray(:,1),Nodes_gray(:,2),Nodes_gray(:,3)); % calculate the sulcal depth
- data_to_smooth1= [SulcDepth,SulcDepth_alpha,SulcDepth_alpha_shrink];
- smoothed_data1 = dataSmoothing(Nodes_gray, connectivity_gray, data_to_smooth1, 2, 1);
- SulcDepth_corr = smoothed_data1(:,1);
- SulcDepth_alpha_corr = smoothed_data1(:,2);
- SulcDepth_alpha_shrink_corr = smoothed_data1(:,3);
- vtkFilename = [dataStoragePath,'DataSummary\',caseId{idx},'_data_frame', num2str(5 * (i-1)), '.vtk'];
- dataVTK=struct('vertices',Nodes_gray,'faces',connectivity_gray, ...
- 'MC',MC_corr,'MC_dimensionless',MC_dimensionless_corr, 'GC',GC_corr,'k_max',k_max_corr,'k_min',k_min_corr,'shapeIndex',shapeIndex_corr,...
- 'par_huang',par_simu_huang,'par_FS2009',par_simu_FS2009,'SulcDepth',SulcDepth_corr,'SulcDepth_alpha',SulcDepth_alpha_corr,'SulcDepth_alpha_shrink',SulcDepth_alpha_shrink_corr,...
- 'CorticalThickness_GW',Cthickness1,'CorticalThickness_GM',Cthickness2, 'Lgi', lgi, 'GI',GI(i)*ones(length(MC_corr),1),'GI_alpha',GI_alpha(i)*ones(length(MC_corr),1));
- mvtk_write(dataVTK,vtkFilename,'legacy');
- fprintf('Frame %d, finished within %f s\n',5*(i-1), toc);
- end
- %%
- % --------------------------------------------------------------------------------------------
- % --- Collecting results by averaging those quantitative metrics throughtout each regions ----
- % --------------------------------------------------------------------------------------------
- %
- num_regions=length(unique(par_simu_huang));
- MC_aver = zeros(num_regions,num_frames);
- MC_dimensionless_aver = zeros(num_regions,num_frames);
- GC_aver = zeros(num_regions,num_frames);
- k_max_aver = zeros(num_regions,num_frames);
- k_min_aver = zeros(num_regions,num_frames);
- shapeIndex_aver = zeros(num_regions,num_frames);
- CThickness_GW_aver = zeros(num_regions,num_frames);
- CThickness_GM_aver = zeros(num_regions,num_frames);
- SulcDepth_aver = zeros(num_regions,num_frames);
- SulcDepth_alpha_aver = zeros(num_regions,num_frames);
- SulcDepth_alpha_shrink_aver = zeros(num_regions,num_frames);
- Lgi_aver = zeros(num_regions,num_frames);
- GI_aver = zeros(num_regions,num_frames);
- GI_alpha_aver = zeros(num_regions,num_frames);
- %
- for i=1:num_frames
- pvtk = mvtk_read([dataStoragePath,'DataSummary\',caseId{idx},'_data_frame', num2str(5 * (i-1)), '.vtk']);
- for j = 1:num_regions
- MC_aver(j,i)=mean(abs(pvtk.MC(pvtk.par_huang==j-1)));
- MC_dimensionless_aver(j,i)=mean(abs(pvtk.MC_dimensionless(pvtk.par_huang==j-1)));
- GC_aver(j,i) = mean(abs(pvtk.GC(pvtk.par_huang==j-1)));
- k_max_aver(j,i) = mean(abs(pvtk.k_max(pvtk.par_huang==j-1)));
- k_min_aver(j,i) = mean(abs(pvtk.k_min(pvtk.par_huang==j-1)));
- shapeIndex_aver(j,i) = mean(abs(pvtk.shapeIndex(pvtk.par_huang==j-1)));
- CThickness_GW_aver(j,i)=mean(pvtk.CorticalThickness_GW(pvtk.par_huang==j-1));
- CThickness_GM_aver(j,i)=mean(pvtk.CorticalThickness_GM(pvtk.par_huang==j-1));
- SulcDepth_aver(j,i) = mean(abs(pvtk.SulcDepth(pvtk.par_huang==j-1)));
- SulcDepth_alpha_aver(j,i) = mean(abs(pvtk.SulcDepth_alpha(pvtk.par_huang==j-1)));
- SulcDepth_alpha_shrink_aver(j,i) = mean(abs(pvtk.SulcDepth_alpha_shrink(pvtk.par_huang==j-1)));
- Lgi_aver(j,i)=mean(pvtk.Lgi(pvtk.par_huang==j-1));
- GI_aver(j,i)=mean(pvtk.GI(pvtk.par_huang==j-1));
- GI_alpha_aver(j,i)=mean(pvtk.GI_alpha(pvtk.par_huang==j-1));
- end
- end
- excel_file = [dataStoragePath,'dataSummary\Data_summary_',caseId{idx},'_L.xlsx'];
- time_values = (0.05 * (1:num_frames) - 0.05); % Compute time values
- variable_names = {'MC_aver', 'MC_dimensionless_aver', 'GC_aver','k_max_aver','k_min_aver','shapeIndex_aver','SulcDepth_aver','SulcDepth_alpha_aver',...
- 'SulcDepth_alpha_shrink_aver','CThickness_GW_aver','CThickness_GM_aver','Lgi_aver','GI_aver','GI_alpha_aver'};
- % Write data to Excel
- for region = 1:num_regions
- % Initialize data matrix for the region
- data_matrix = [(time_values)', ... % Frame numbers
- MC_aver(region, 1:num_frames)', ...
- MC_dimensionless_aver(region, 1:num_frames)', ...
- GC_aver(region, 1:num_frames)', ...
- k_max_aver(region, 1:num_frames)', ...
- k_min_aver(region, 1:num_frames)', ...
- shapeIndex_aver(region, 1:num_frames)', ...
- SulcDepth_aver(region, 1:num_frames)', ...
- SulcDepth_alpha_aver(region, 1:num_frames)', ...
- SulcDepth_alpha_shrink_aver(region, 1:num_frames)', ...
- CThickness_GW_aver(region, 1:num_frames)',...
- CThickness_GM_aver(region, 1:num_frames)',...
- Lgi_aver(region, 1:num_frames)',...
- GI_aver(region, 1:num_frames)',...
- GI_alpha_aver(region, 1:num_frames)',...
- ];
- % Create headers
- headers = {'Time', 'MC', 'MC_dimensionless','GC','k_max','k_min','shapeIndex','SulcDepth','SulcDepth_alpha','SulcDepth_alpha_shrink', 'CThickness_GW','CThickness_GM','LGI','GI','GI_alpha'};
- % Write to Excel
- sheet_name = sprintf('Region_%d', region - 1);
- writecell([headers; num2cell(data_matrix)], excel_file, 'Sheet', sheet_name);
- end
- disp('Data successfully written to Excel file.');
- %
- save([dataStoragePath,'dataSummary\',casename,'.mat']);
- % Helper function to assign parcellation labels in parallel
- function par_cell = assignParcellation(nodes, kdtree, par_info, batchSize)
- numPoints = size(nodes, 1);
- numBatches = ceil(numPoints / batchSize);
- par_cell = cell(numBatches, 1);
- parfor batch = 1:numBatches
- idxRange = (batch - 1) * batchSize + 1 : min(batch * batchSize, numPoints);
- batchPoints = nodes(idxRange, :);
- idx = knnsearch(kdtree, batchPoints);
- par_cell{batch} = par_info(idx);
- end
- par_cell = vertcat(par_cell{:});
- end
surfReconstruction.m at commit 57164fd, no license · at the source
Overview
- School of ECAM, College of Engineering, University of Georgia,Athens, GA USA
- Department of Radiology and Biomedical Research Imaging Center, The University of North Carolina at Chapel Hill,Chapel Hill, NC USA
- School of Chemical, Materials, and Biomedical Engineering, College of Engineering, University of Georgia,Athens, GA USA
- Department of Computer Science, Indiana University-Indianapolis,Indianapolis, IN USA
- Department of Computer Science, University of Texas at Arlington,Arlington, TX USA
- Department of Biomedical Sciences and Imaging, Biomedical Imaging Research Institute, Cedars-Sinai Medical Center,Los Angeles, CA USA
- Department of Mechanical Engineering, Binghamton University,Binghamton, NY USA
- School of Computing, University of Georgia,Athens, GA USA
- Department of Mechanical Engineering, Stanford University,Stanford, CA USA
Abstract
Cortical folds encode the architecture of human cognition, yet the mechanisms that transform the smooth fetal cortex into its convoluted geometry remain elusive. Biophysical modeling enables mechanistic insight into cortical morphogenesis, but existing models often lack anatomical realism and fail to capture key hallmarks and morphometrics of dynamic cortical folding in the developing human brain. Here, we introduce a whole-brain developmental framework that integrates region-specific, data-driven growth laws with anatomically realistic cortical geometry to enable biologically interpretable modeling of cortical morphogenesis during gestation. Growth fields derived from large-scale prenatal magnetic resonance imaging data capture spatiotemporal variations in cortical expansion and thickness across parcellated regions. Incorporating heterogeneous growth yields folding patterns that match key anatomical landmarks and quantitative morphometrics from human imaging. Systematic perturbations of geometry and growth attributes delineate control parameters that produce realistic morphological variability and replicate clinically atypical brain phenotypes consistent with lissencephaly, pachygyria, and polymicrogyria. This framework provides a quantitative foundation for elucidating the mechanisms of typical and atypical fetal brain development.
Reproduced under the paper's license (CC BY), from the paper cited above.
Repository
Its files are read in the Code ↔ Paper reader above, with 4 matches between paragraphs and lines of code.
BioDMX-UGA/BiophysicalCorticalMorphogenesis
57164fd28c24933ab895b9334fec3190ae78123b, 16 July 2026Availability: 1 check, the latest on 27 September 2026: the link answers
- 27 September 2026: the link answers
36 files
- abaqus_script/
ExtractDataFromABAQUS.py , Python, 112 lines - abaqus_script/
mfile/ , MATLAB, 144 linesCurvatures.m - abaqus_script/
mfile/ , MATLAB, 52 linesFigure_plot.m - abaqus_script/
mfile/ , MATLAB, 47 linesGyrificationIndex.m - abaqus_script/
mfile/ , MATLAB, 45 linesGyrificationIndex_alphas hape.m - abaqus_script/
mfile/ , MATLAB, 34 linesSulcalDepth.m - abaqus_script/
mfile/ , MATLAB, 26 linesSulcalDepth_alphashape.m - abaqus_script/
mfile/ , MATLAB, 57 linesSulcalDepth_alphashape_s hrink.m - abaqus_script/
mfile/ , MATLAB, 621 linesVOXELISE.m - abaqus_script/
mfile/ , MATLAB, 20 linescorticalThickness.m - abaqus_script/
mfile/ , MATLAB, 193 linescountSulcalBasins.m - abaqus_script/
mfile/ , MATLAB, 86 linescreateOuterHull.m - abaqus_script/
mfile/ , MATLAB, 46 linesdataSmoothing.m - abaqus_script/
mfile/ , MATLAB, 45 lineslaplacianSmoothing.m - abaqus_script/
mfile/ , MATLAB, 212 linesmvtk_read.m - abaqus_script/
mfile/ , MATLAB, 642 linesmvtk_write.m - abaqus_script/
mfile/ , MATLAB, 67 linesquadToTriConnectivity.m - abaqus_script/
mfile/ , MATLAB, 74 linestaubinSmoothing.m - abaqus_script/
mfile/ , MATLAB, 52 lineswriteVTK.m - abaqus_script/
surfReconstruction.m , MATLAB, 283 lines, 1 match - figure scripts/
fig2c.py , Python, 175 lines - figure scripts/
fig4a.py , Python, 75 lines, 1 match - figure scripts/
fig4b.py , Python, 105 lines - figure scripts/
fig4c.py , Python, 98 lines - figure scripts/
fig4f.py , Python, 85 lines - figure scripts/
fig5c.py , Python, 201 lines - figure scripts/
fig6c_heatmap.py , Python, 110 lines - figure scripts/
fig6c_radar.py , Python, 227 lines - figure scripts/
fig7a.py , Python, 41 lines - figure scripts/
fig7d.py , Python, 88 lines - figure scripts/
fig7e.py , Python, 77 lines - figure scripts/
fig7g.py , Python, 121 lines - figure scripts/
fig7i.py , Python, 88 lines - symbolic regression/
Pysr_growth_area.py , Python, 222 lines, 1 match - symbolic regression/
Pysr_growth_thickness.py , Python, 215 lines, 1 match - README.md, Text, 79 lines
Code availability
The code supporting this study, including scripts for growth model characterization, computational model construction, simulation postprocessing, data analysis and figure creation, is available on GitHub at (https://
Reproduced under the paper's license (CC BY), from the paper cited above.
Tracing map
Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.
What the map holds:
- 1 repository of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
- 35 scripts, each with its path and the digest of its content;
- 4 matches between paragraphs of the paper and lines of the code (method lexical-v1);
- neither the text of the paper nor the code itself.
Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.
Data
Datasets cited
- figshare:31866178, at figshare; found in DataCite
Data availability
The data supporting these findings, including model files and the regional surface area and cortical thickness data used for growth model characterization have been deposited in the Figshare repository71 and are available at (10.6084/
Reproduced under the paper's license (CC BY), from the paper cited above.
Versions
The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.
Version 1, 27 September 2026: the first record
Recorded: type, language, journal, volume, issue, pages, dates, 12 authors, 3 keywords, 10 MeSH terms, 3 funders, 74 references.
Cite
This paper
Hou, J., Wu, Z., Jiang, K., Wu, T., Zhang, L., Zhu, D., Gao, W., Razavi, M. J., Liu, T., Kuhl, E., Li, G., & Wang, X. (2026). Biophysical modeling of anatomically realistic prenatal cortical folding development. Nature communications, 17(1), 8711. https://
BibTeX
@article{hou2026biophysi
author = {Hou, Jixin and Wu, Zhengwang and Jiang, Kun and Wu, Taotao and Zhang, Lu and Zhu, Dajiang and Gao, Wei and Razavi, Mir Jalil and Liu, Tianming and Kuhl, Ellen and Li, Gang and Wang, Xianqiao},
title = {{Biophysical modeling of anatomically realistic prenatal cortical folding development}},
journal = {Nature communications},
year = {2026},
month = jul,
volume = {17},
number = {1},
pages = {8711},
publisher = {Nature Publishing Group},
issn = {2041-1723},
doi = {10.1038/
url = {https://
pmid = {42463653},
pmcid = {PMC13490475}
}
RIS
TY - JOUR
AU - Hou, Jixin
AU - Wu, Zhengwang
AU - Jiang, Kun
AU - Wu, Taotao
AU - Zhang, Lu
AU - Zhu, Dajiang
AU - Gao, Wei
AU - Razavi, Mir Jalil
AU - Liu, Tianming
AU - Kuhl, Ellen
AU - Li, Gang
AU - Wang, Xianqiao
TI - Biophysical modeling of anatomically realistic prenatal cortical folding development
T2 - Nature communications
J2 - Nat Commun
PY - 2026
DA - 2026/
VL - 17
IS - 1
SP - 8711
SN - 2041-1723
PB - Nature Publishing Group
DO - 10.1038/
UR - https://
LA - en
ER -
CSL-JSON
{
"id": "10.1038/
"type": "article-journal",
"title": "Biophysical modeling of anatomically realistic prenatal cortical folding development",
"container-title": "Nature communications",
"author": [
{
"family": "Hou",
"given": "Jixin"
},
{
"family": "Wu",
"given": "Zhengwang"
},
{
"family": "Jiang",
"given": "Kun"
},
{
"family": "Wu",
"given": "Taotao"
},
{
"family": "Zhang",
"given": "Lu"
},
{
"family": "Zhu",
"given": "Dajiang"
},
{
"family": "Gao",
"given": "Wei"
},
{
"family": "Razavi",
"given": "Mir Jalil"
},
{
"family": "Liu",
"given": "Tianming"
},
{
"family": "Kuhl",
"given": "Ellen"
},
{
"family": "Li",
"given": "Gang"
},
{
"family": "Wang",
"given": "Xianqiao"
}
],
"container-title-short":
"volume": "17",
"issue": "1",
"page": "8711",
"DOI": "10.1038/
"PMID": "42463653",
"PMCID": "PMC13490475",
"ISSN": "2041-1723",
"publisher": "Nature Publishing Group",
"URL": "https://
"language": "en",
"issued": {
"date-parts": [
[
2026,
7,
16
]
]
}
}
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