Diffusion-relaxation MRI as virtual histology: separable microstructural signatures of AD pathology in ex vivo human brain
Paper
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The authors' code
Shell · 97 lines · 2.9 KB · Apache-2.0
- #!/bin/bash
- set -x -e
- pip install --upgrade pip setuptools wheel cmake ninja
- echo "Check CMAKE version"
- cmake --version
- mkdir -p be/install && cd be
- echo "Checking folder structure"
- ls -lh .
- ls -lh ..
- # Download and build VTK
- LIB_LOCATION=build
- if [[ $1 =~ ubuntu-.* ]]; then
- VTK_BINARY=vtk-wheel-sdk-9.3.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.tar.xz
- DYLD_SUFFIX=so
- MAKEFLAGS="-- -j 8"
- elif [[ $1 == macos-13 ]]; then
- VTK_BINARY=vtk-wheel-sdk-9.3.1-cp310-cp310-macosx_10_10_x86_64.tar.xz
- DYLD_SUFFIX=dylib
- MAKEFLAGS="-- -j 8"
- elif [[ $1 == macos-14 ]]; then
- VTK_BINARY=vtk-wheel-sdk-9.3.1-cp310-cp310-macosx_11_0_arm64.tar.xz
- DYLD_SUFFIX=dylib
- elif [[ $1 =~ windows-.* ]]; then
- VTK_BINARY=vtk-wheel-sdk-9.3.1-cp310-cp310-win_amd64.tar.xz
- DYLD_SUFFIX=dll
- LIB_LOCATION=bin
- CMAKE_RELEASE_COMMAND="--config Release"
- else
- exit 255
- fi
- # Install Eigen
- git clone -b 3.4.0 https://gitlab.com/libeigen/eigen.git
- cmake \
- -DBUILD_EXAMPLES=OFF \
- -DBUILD_TESTING=OFF \
- -DCMAKE_BUILD_TYPE=Release \
- -DCMAKE_INSTALL_PREFIX=./install \
- -B eigen/build \
- eigen
- cmake --build eigen/build --target install $MAKEFLAGS $CMAKE_RELEASE_COMMAND
- # Install VTK from binary wheels provided by Kitware
- mkdir -p install/vtk install/vtk/shared
- curl -L https://www.vtk.org/files/release/9.3/${VTK_BINARY} -o ./install/vtk/vtk-wheel-sdk.tar.xz
- tar -xJvf ./install/vtk/vtk-wheel-sdk.tar.xz --strip-components 1 -C $PWD/install/vtk
- ln $(find $PWD/install/vtk/${LIB_LOCATION} -name "*.${DYLD_SUFFIX}") install/vtk/shared
- # Link the shared libraries needed for delocate into a simple directory
- # Build ITK
- git clone -b v5.2.1 https://github.com/InsightSoftwareConsortium/ITK.git ITK
- cmake \
- -DModule_MorphologicalContourInterpolation=ON \
- -DBUILD_EXAMPLES=OFF \
- -DBUILD_TESTING=OFF \
- -DCMAKE_BUILD_TYPE=Release \
- -DCMAKE_INSTALL_PREFIX=./install \
- -DCMAKE_POSITION_INDEPENDENT_CODE=ON \
- -DCMAKE_POLICY_VERSION_MINIMUM=3.5 \
- -B ITK/build \
- ITK
- cmake --build ITK/build --target install $MAKEFLAGS $CMAKE_RELEASE_COMMAND
- #git clone -b v9.3.1 https://github.com/Kitware/VTK.git VTK
- #cmake \
- # -DBUILD_EXAMPLES=OFF \
- # -DBUILD_TESTING=OFF \
- # -DCMAKE_BUILD_TYPE=Release \
- # -DBUILD_SHARED_LIBS=OFF \
- # -DVTK_REQUIRED_OBJCXX_FLAGS="" \
- # -DCMAKE_INSTALL_PREFIX=./install \
- # -B VTK/build \
- # VTK
- #cmake --build VTK/build --target install --config Release
- # Build Greedy
- # git clone -b master https://github.com/pyushkevich/greedy.git greedy
- cmake \
- -DCMAKE_BUILD_TYPE=Release \
- -DCMAKE_INSTALL_PREFIX=./install \
- -DGREEDY_BUILD_LMSHOOT=ON \
- -DGREEDY_BUILD_WRAPPING=ON \
- -DCMAKE_PREFIX_PATH="$PWD/install" \
- -DCMAKE_POSITION_INDEPENDENT_CODE=ON \
- -DVTK_DIR=$PWD/install/vtk/vtk-9.3.1.data/headers/cmake \
- -B greedy/build \
- ..
- cmake --build greedy/build --target install $MAKEFLAGS $CMAKE_RELEASE_COMMAND
prebuild.sh at commit f5212c5, under Apache-2.0 · at the source
Overview
- National Institute on Aging, NIH
- University of Arizona
- Banner Sun Health Research Institute
Abstract
Cognitive decline in Alzheimer's disease (AD) reflects progressive disruption of cellular and microstructural organization, yet the biological specificity of conventional MRI signals remains poorly understood. Multidimensional diffusion–relaxation MRI (MD-MRI) resolves sub-voxel tissue heterogeneity and may offer a framework for linking imaging signals to underlying neuropathology. We tested the hypothesis that neuronal, glial, and white matter pathologies in AD occupy separable regions of diffusion–relaxation space and generate spatially organized signatures associated with cognitive impairment. We integrated ex vivo MD-MRI with co-registered histology from 12 human donors spanning a range of Braak stages and pathological severity. Nested cross-validated elastic net models predicted voxelwise Aβ, pTau, microglia, and myelin burden from the multidimensional diffusion–relaxation density distribution. Regional associations were assessed across hippocampal subfields and white matter, and MRI-predicted pathology was related to ante-mortem Mini-Mental State Examination scores. Distinct diffusion–relaxation components were preferentially associated with different pathological markers, indicating separable microstructural signatures. MRI-derived predictions corresponded significantly with histological measures of myelin (ρ = 0.77), pTau (ρ = 0.62), and microglia (ρ = 0.61), with weaker correspondence for Aβ (ρ = 0.45). Regionally, predicted pathology recapitulated known patterns of selective vulnerability, with elevated pTau and microglial signal in hippocampal subfields and dominant myelin-associated signal in white matter (p < 0.0001). Higher predicted hippocampal pTau was strongly associated with worse cognitive performance (ρ = −0.88, p = 0.0014), with a moderate association in white matter (ρ = −0.66, p = 0.036). These findings demonstrate that AD-related pathological processes manifest as distinct, spatially organized diffusion–relaxation signatures, providing mechanistic insight into the microstructural basis of MRI contrasts. As clinically feasible MD-MRI protocols continue to emerge, translation of these signatures to in vivo imaging may enable more biologically informed assessment of neurodegeneration.
Reproduced under the paper's license (CC BY), from the paper cited above.
Repositories
Its files are read in the Code ↔ Paper reader above.
pyushkevich/greedy
f5212c50d72f4ce511ec1a6e142c58b169de714e, 3 August 2026Availability: 1 check, the latest on 28 September 2026: the link answers
- 28 September 2026: the link answers
146 files
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dan-benjamini/madco
d665140a31135349ec280e0a4adfd2f9b86f70f6, 21 May 2025Availability: 1 check, the latest on 28 September 2026: the link answers
- 28 September 2026: the link answers
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cvx/ , JavaScript, 2 linesdoc/ html/ _static/ jquery.js - MatlabFunctions/
cvx/ , JavaScript, 199 linesdoc/ html/ _static/ language_data.js - MatlabFunctions/
cvx/ , JavaScript, 531 linesdoc/ html/ _static/ searchtools.js - MatlabFunctions/
cvx/ , JavaScript, 2,042 linesdoc/ html/ _static/ underscore-1.13.1.js - MatlabFunctions/
cvx/ , JavaScript, 6 linesdoc/ html/ _static/ underscore.js - MatlabFunctions/
cvx/ , JavaScript, 1 linedoc/ html/ searchindex.js - MatlabFunctions/
cvx/ , MATLAB, 42 linesfunctions/ @cvx/ avg_abs_dev.m - MatlabFunctions/
cvx/ , MATLAB, 39 linesfunctions/ @cvx/ avg_abs_dev_med.m - MatlabFunctions/
cvx/ , MATLAB, 49 linesfunctions/ @cvx/ berhu.m - MatlabFunctions/
cvx/ , MATLAB, 73 linesfunctions/ @cvx/ cvx_recip.m - MatlabFunctions/
cvx/ , MATLAB, 56 linesfunctions/ @cvx/ det_inv.m - MatlabFunctions/
cvx/ , MATLAB, 49 linesfunctions/ @cvx/ det_rootn.m - MatlabFunctions/
cvx/ , MATLAB, 70 linesfunctions/ @cvx/ functions.m - MatlabFunctions/
cvx/ , MATLAB, 120 linesfunctions/ @cvx/ geo_mean.m - MatlabFunctions/
cvx/ , MATLAB, 49 linesfunctions/ @cvx/ huber_pos.m - MatlabFunctions/
cvx/ , MATLAB, 10 linesfunctions/ @cvx/ inv_pos.m - MatlabFunctions/
cvx/ , MATLAB, 31 linesfunctions/ @cvx/ lambda_max.m - MatlabFunctions/
cvx/ , MATLAB, 44 linesfunctions/ @cvx/ lambda_sum_largest.m - MatlabFunctions/
cvx/ , MATLAB, 37 linesfunctions/ @cvx/ log_normcdf.m - MatlabFunctions/
cvx/ , MATLAB, 124 linesfunctions/ @cvx/ log_sum_exp.m - MatlabFunctions/
cvx/ , MATLAB, 39 linesfunctions/ @cvx/ matrix_frac.m - MatlabFunctions/
cvx/ , MATLAB, 32 linesfunctions/ @cvx/ norm_nuc.m - MatlabFunctions/
cvx/ , MATLAB, 107 linesfunctions/ @cvx/ norms.m - MatlabFunctions/
cvx/ , MATLAB, 17 linesfunctions/ @cvx/ pow_abs.m - MatlabFunctions/
cvx/ , MATLAB, 234 linesfunctions/ @cvx/ pow_cvx.m - MatlabFunctions/
cvx/ , MATLAB, 10 linesfunctions/ @cvx/ pow_p.m - MatlabFunctions/
cvx/ , MATLAB, 20 linesfunctions/ @cvx/ pow_pos.m - MatlabFunctions/
cvx/ , MATLAB, 44 linesfunctions/ @cvx/ prod_inv.m - MatlabFunctions/
cvx/ , MATLAB, 237 linesfunctions/ @cvx/ quad_form.m - MatlabFunctions/
cvx/ , MATLAB, 83 linesfunctions/ @cvx/ quad_over_lin.m - MatlabFunctions/
cvx/ , MATLAB, 19 linesfunctions/ @cvx/ quad_pos_over_lin.m - MatlabFunctions/
cvx/ , MATLAB, 100 linesfunctions/ @cvx/ rel_entr.m - MatlabFunctions/
cvx/ , MATLAB, 21 linesfunctions/ @cvx/ sigma_max.m - MatlabFunctions/
cvx/ , MATLAB, 79 linesfunctions/ @cvx/ square.m - MatlabFunctions/
cvx/ , MATLAB, 10 linesfunctions/ @cvx/ square_abs.m - MatlabFunctions/
cvx/ , MATLAB, 10 linesfunctions/ @cvx/ square_pos.m - MatlabFunctions/
cvx/ , MATLAB, 51 linesfunctions/ @cvx/ sum_largest.m - MatlabFunctions/
cvx/ , MATLAB, 15 linesfunctions/ @cvx/ sum_log.m - MatlabFunctions/
cvx/ , MATLAB, 13 linesfunctions/ @cvx/ sum_square.m - MatlabFunctions/
cvx/ , MATLAB, 10 linesfunctions/ @cvx/ sum_square_abs.m - MatlabFunctions/
cvx/ , MATLAB, 15 linesfunctions/ @cvx/ sum_square_pos.m - MatlabFunctions/
cvx/ , MATLAB, 33 linesfunctions/ @cvx/ trace_inv.m - MatlabFunctions/
cvx/ , MATLAB, 33 linesfunctions/ @cvx/ trace_sqrtm.m - MatlabFunctions/
cvx/ , MATLAB, 9 linesfunctions/ @cvx/ vec.m - MatlabFunctions/
cvx/ , MATLAB, 70 linesfunctions/ Contents.m - MatlabFunctions/
cvx/ , MATLAB, 40 linesfunctions/ avg_abs_dev.m - MatlabFunctions/
cvx/ , MATLAB, 38 linesfunctions/ avg_abs_dev_med.m - MatlabFunctions/
cvx/ , MATLAB, 70 linesfunctions/ berhu.m - MatlabFunctions/
cvx/ , MATLAB, 55 linesfunctions/ det_inv.m - MatlabFunctions/
cvx/ , MATLAB, 22 linesfunctions/ det_root2n.m - MatlabFunctions/
cvx/ , MATLAB, 37 linesfunctions/ det_rootn.m - MatlabFunctions/
cvx/ , MATLAB, 24 linesfunctions/ entr.m - MatlabFunctions/
cvx/ , MATLAB, 73 linesfunctions/ geo_mean.m - MatlabFunctions/
cvx/ , MATLAB, 16 linesfunctions/ geomean.m - MatlabFunctions/
cvx/ , MATLAB, 39 linesfunctions/ huber.m - MatlabFunctions/
cvx/ , MATLAB, 44 linesfunctions/ huber_circ.m - MatlabFunctions/
cvx/ , MATLAB, 71 linesfunctions/ huber_pos.m - MatlabFunctions/
cvx/ , MATLAB, 21 linesfunctions/ inv_pos.m - MatlabFunctions/
cvx/ , MATLAB, 26 linesfunctions/ kl_div.m - MatlabFunctions/
cvx/ , MATLAB, 28 linesfunctions/ lambda_max.m - MatlabFunctions/
cvx/ , MATLAB, 19 linesfunctions/ lambda_min.m - MatlabFunctions/
cvx/ , MATLAB, 30 linesfunctions/ lambda_sum_largest.m - MatlabFunctions/
cvx/ , MATLAB, 17 linesfunctions/ lambda_sum_smallest.m - MatlabFunctions/
cvx/ , MATLAB, 32 linesfunctions/ log_det.m - MatlabFunctions/
cvx/ , MATLAB, 39 linesfunctions/ log_normcdf.m - MatlabFunctions/
cvx/ , MATLAB, 29 linesfunctions/ log_prod.m - MatlabFunctions/
cvx/ , MATLAB, 35 linesfunctions/ log_sum_exp.m - MatlabFunctions/
cvx/ , MATLAB, 16 linesfunctions/ logsumexp.m - MatlabFunctions/
cvx/ , MATLAB, 227 linesfunctions/ logsumexp_sdp.m - MatlabFunctions/
cvx/ , MATLAB, 42 linesfunctions/ matrix_frac.m - MatlabFunctions/
cvx/ , MATLAB, 24 linesfunctions/ norm_largest.m - MatlabFunctions/
cvx/ , MATLAB, 14 linesfunctions/ norm_nuc.m - MatlabFunctions/
cvx/ , MATLAB, 71 linesfunctions/ norms.m - MatlabFunctions/
cvx/ , MATLAB, 45 linesfunctions/ norms_largest.m - MatlabFunctions/
cvx/ , MATLAB, 119 linesfunctions/ poly_env.m - MatlabFunctions/
cvx/ , MATLAB, 15 linesfunctions/ polyenv.m - MatlabFunctions/
cvx/ , MATLAB, 52 linesfunctions/ polyval_trig.m - MatlabFunctions/
cvx/ , MATLAB, 23 linesfunctions/ pos.m - MatlabFunctions/
cvx/ , MATLAB, 24 linesfunctions/ pow_abs.m - MatlabFunctions/
cvx/ , MATLAB, 28 linesfunctions/ pow_p.m - MatlabFunctions/
cvx/ , MATLAB, 22 linesfunctions/ pow_pos.m - MatlabFunctions/
cvx/ , MATLAB, 40 linesfunctions/ prod_inv.m - MatlabFunctions/
cvx/ , MATLAB, 68 linesfunctions/ quad_form.m - MatlabFunctions/
cvx/ , MATLAB, 59 linesfunctions/ quad_over_lin.m - MatlabFunctions/
cvx/ , MATLAB, 48 linesfunctions/ quad_pos_over_lin.m - MatlabFunctions/
cvx/ , MATLAB, 37 linesfunctions/ rel_entr.m - MatlabFunctions/
cvx/ , MATLAB, 15 linesfunctions/ sigma_max.m - MatlabFunctions/
cvx/ , MATLAB, 17 linesfunctions/ square_/ square.m - MatlabFunctions/
cvx/ , MATLAB, 18 linesfunctions/ square_abs.m - MatlabFunctions/
cvx/ , MATLAB, 20 linesfunctions/ square_pos.m - MatlabFunctions/
cvx/ , MATLAB, 89 linesfunctions/ sum_largest.m - MatlabFunctions/
cvx/ , MATLAB, 32 linesfunctions/ sum_log.m - MatlabFunctions/
cvx/ , MATLAB, 35 linesfunctions/ sum_smallest.m - MatlabFunctions/
cvx/ , MATLAB, 29 linesfunctions/ sum_square.m - MatlabFunctions/
cvx/ , MATLAB, 24 linesfunctions/ sum_square_abs.m - MatlabFunctions/
cvx/ , MATLAB, 28 linesfunctions/ sum_square_pos.m - MatlabFunctions/
cvx/ , MATLAB, 23 linesfunctions/ sym.m - MatlabFunctions/
cvx/ , MATLAB, 33 linesfunctions/ trace_inv.m - MatlabFunctions/
cvx/ , MATLAB, 33 linesfunctions/ trace_sqrtm.m - MatlabFunctions/
cvx/ , MATLAB, 11 linesfunctions/ vec_/ vec.m - MatlabFunctions/
cvx/ , MATLAB, 13 lineskeywords/ Contents.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineskeywords/ In.m - MatlabFunctions/
cvx/ , MATLAB, 46 lineskeywords/ binary.m - MatlabFunctions/
cvx/ , MATLAB, 109 lineskeywords/ dual.m - MatlabFunctions/
cvx/ , MATLAB, 45 lineskeywords/ epigraph.m - MatlabFunctions/
cvx/ , MATLAB, 82 lineskeywords/ expression.m - MatlabFunctions/
cvx/ , MATLAB, 31 lineskeywords/ expressions.m - MatlabFunctions/
cvx/ , MATLAB, 45 lineskeywords/ hypograph.m - MatlabFunctions/
cvx/ , MATLAB, 44 lineskeywords/ integer.m - MatlabFunctions/
cvx/ , MATLAB, 28 lineskeywords/ maximise.m - MatlabFunctions/
cvx/ , MATLAB, 28 lineskeywords/ maximize.m - MatlabFunctions/
cvx/ , MATLAB, 28 lineskeywords/ minimise.m - MatlabFunctions/
cvx/ , MATLAB, 28 lineskeywords/ minimize.m - MatlabFunctions/
cvx/ , MATLAB, 20 lineskeywords/ subject.m - MatlabFunctions/
cvx/ , MATLAB, 201 lineskeywords/ variable.m - MatlabFunctions/
cvx/ , MATLAB, 31 lineskeywords/ variables.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ @cell/ cvx_id.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cell/ cvx_setdual.m - MatlabFunctions/
cvx/ , MATLAB, 7 lineslib/ @cell/ cvx_value.m - MatlabFunctions/
cvx/ , MATLAB, 27 lineslib/ @cvx/ bcompress.m - MatlabFunctions/
cvx/ , MATLAB, 24 lineslib/ @cvx/ buncompress.m - MatlabFunctions/
cvx/ , MATLAB, 73 lineslib/ @cvx/ cvx.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvx/ cvx_basis.m - MatlabFunctions/
cvx/ , MATLAB, 68 lineslib/ @cvx/ cvx_classify.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvx/ cvx_constant.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvx/ cvx_getdual.m - MatlabFunctions/
cvx/ , MATLAB, 12 lineslib/ @cvx/ cvx_isaffine.m - MatlabFunctions/
cvx/ , MATLAB, 12 lineslib/ @cvx/ cvx_isconcave.m - MatlabFunctions/
cvx/ , MATLAB, 19 lineslib/ @cvx/ cvx_isconstant.m - MatlabFunctions/
cvx/ , MATLAB, 12 lineslib/ @cvx/ cvx_isconvex.m - MatlabFunctions/
cvx/ , MATLAB, 12 lineslib/ @cvx/ cvx_isnonzero.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ @cvx/ cvx_readlevel.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvx/ cvx_setdual.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvx/ cvx_value.m - MatlabFunctions/
cvx/ , MATLAB, 45 lineslib/ @cvx/ cvx_vexity.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ @cvx/ in.m - MatlabFunctions/
cvx/ , MATLAB, 13 lineslib/ @cvx/ keywords.m - MatlabFunctions/
cvx/ , MATLAB, 10 lineslib/ @cvx/ matlab6.m - MatlabFunctions/
cvx/ , MATLAB, 17 lineslib/ @cvx/ sets.m - MatlabFunctions/
cvx/ , MATLAB, 162 lineslib/ @cvx/ sparsify.m - MatlabFunctions/
cvx/ , MATLAB, 23 lineslib/ @cvx/ svec.m - MatlabFunctions/
cvx/ , MATLAB, 49 lineslib/ @cvx/ type.m - MatlabFunctions/
cvx/ , MATLAB, 18 lineslib/ @cvx/ value.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxcnst/ cvxcnst.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxcnst/ disp.m - MatlabFunctions/
cvx/ , MATLAB, 9 lineslib/ @cvxcnst/ display.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxcnst/ double.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxcnst/ logical.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxcnst/ rhs.m - MatlabFunctions/
cvx/ , MATLAB, 27 lineslib/ @cvxdual/ colon.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ cvx_basis.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ cvx_value.m - MatlabFunctions/
cvx/ , MATLAB, 7 lineslib/ @cvxdual/ cvxaff.m - MatlabFunctions/
cvx/ , MATLAB, 7 lineslib/ @cvxdual/ cvxdual.m - MatlabFunctions/
cvx/ , MATLAB, 14 lineslib/ @cvxdual/ disp.m - MatlabFunctions/
cvx/ , MATLAB, 12 lineslib/ @cvxdual/ display.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ dof.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ inuse.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ isreal.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ name.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ problem.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ size.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxdual/ subsref.m - MatlabFunctions/
cvx/ , MATLAB, 48 lineslib/ @cvxdual/ type.m - MatlabFunctions/
cvx/ , MATLAB, 15 lineslib/ @cvxdual/ value.m - MatlabFunctions/
cvx/ , MATLAB, 7 lineslib/ @cvxin/ cvxin.m - MatlabFunctions/
cvx/ , MATLAB, 23 lineslib/ @cvxin/ cvxtuple.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ @cvxin/ gt.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ @cvxin/ lt.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxobj/ cvx_id.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ @cvxobj/ cvxobj.m - MatlabFunctions/
cvx/ , MATLAB, 7 lineslib/ @cvxobj/ disp.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ @cvxobj/ display.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxobj/ isempty.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxobj/ isequal.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ @cvxobj/ length.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxobj/ ndims.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxobj/ numel.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxobj/ subsasgn.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxobj/ subsref.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ @cvxprob/ cvx_value.m - MatlabFunctions/
cvx/ , MATLAB, 143 lineslib/ @cvxprob/ cvxprob.m - MatlabFunctions/
cvx/ , MATLAB, 160 lineslib/ @cvxprob/ disp.m - MatlabFunctions/
cvx/ , MATLAB, 292 lineslib/ @cvxprob/ eliminate.m - MatlabFunctions/
cvx/ , MATLAB, 10 lineslib/ @cvxprob/ eq.m - MatlabFunctions/
cvx/ , MATLAB, 267 lineslib/ @cvxprob/ extract.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxprob/ index.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxprob/ ne.m - MatlabFunctions/
cvx/ , MATLAB, 280 lineslib/ @cvxprob/ newcnstr.m - MatlabFunctions/
cvx/ , MATLAB, 82 lineslib/ @cvxprob/ newdual.m - MatlabFunctions/
cvx/ , MATLAB, 40 lineslib/ @cvxprob/ newnonl.m - MatlabFunctions/
cvx/ , MATLAB, 83 lineslib/ @cvxprob/ newobj.m - MatlabFunctions/
cvx/ , MATLAB, 17 lineslib/ @cvxprob/ newtemp.m - MatlabFunctions/
cvx/ , MATLAB, 185 lineslib/ @cvxprob/ newvar.m - MatlabFunctions/
cvx/ , MATLAB, 153 lineslib/ @cvxprob/ pop.m - MatlabFunctions/
cvx/ , MATLAB, 638 lineslib/ @cvxprob/ solve.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ @cvxprob/ spy.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxprob/ subsasgn.m - MatlabFunctions/
cvx/ , MATLAB, 7 lineslib/ @cvxprob/ subsref.m - MatlabFunctions/
cvx/ , MATLAB, 25 lineslib/ @cvxprob/ touch.m - MatlabFunctions/
cvx/ , MATLAB, 16 lineslib/ @cvxtuple/ apply.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ cvx_collapse.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ cvx_constant.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ cvx_getdual.m - MatlabFunctions/
cvx/ , MATLAB, 15 lineslib/ @cvxtuple/ cvx_id.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ cvx_isaffine.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ cvx_isconcave.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ cvx_isconstant.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ cvx_isconvex.m - MatlabFunctions/
cvx/ , MATLAB, 34 lineslib/ @cvxtuple/ cvx_setdual.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ cvx_value.m - MatlabFunctions/
cvx/ , MATLAB, 23 lineslib/ @cvxtuple/ cvxtuple.m - MatlabFunctions/
cvx/ , MATLAB, 42 lineslib/ @cvxtuple/ disp.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ @cvxtuple/ eq.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ @cvxtuple/ ge.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ @cvxtuple/ gt.m - MatlabFunctions/
cvx/ , MATLAB, 9 lineslib/ @cvxtuple/ in.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ @cvxtuple/ le.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ @cvxtuple/ lt.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ @cvxtuple/ ne.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ numel.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ @cvxtuple/ subsasgn.m - MatlabFunctions/
cvx/ , MATLAB, 7 lineslib/ @cvxtuple/ subsref.m - MatlabFunctions/
cvx/ , MATLAB, 16 lineslib/ @cvxtuple/ testall.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ Contents.m - MatlabFunctions/
cvx/ , MATLAB, 22 lineslib/ cvx_accept_concave.m - MatlabFunctions/
cvx/ , MATLAB, 22 lineslib/ cvx_accept_convex.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ cvx_basis.m - MatlabFunctions/
cvx/ , MATLAB, 44 lineslib/ cvx_bcompress.m - MatlabFunctions/
cvx/ , C, 198 lineslib/ cvx_bcompress_mex.c - MatlabFunctions/
cvx/ , MATLAB, 32 lineslib/ cvx_blkdiag.m - MatlabFunctions/
cvx/ , MATLAB, 87 lineslib/ cvx_c2r.m - MatlabFunctions/
cvx/ , MATLAB, 20 lineslib/ cvx_check_dimension.m - MatlabFunctions/
cvx/ , MATLAB, 40 lineslib/ cvx_check_dimlist.m - MatlabFunctions/
cvx/ , MATLAB, 63 lineslib/ cvx_class.m - MatlabFunctions/
cvx/ , MATLAB, 27 lineslib/ cvx_classify.m - MatlabFunctions/
cvx/ , MATLAB, 26 lineslib/ cvx_clearpath.m - MatlabFunctions/
cvx/ , MATLAB, 21 lineslib/ cvx_clearspath.m - MatlabFunctions/
cvx/ , MATLAB, 45 lineslib/ cvx_collapse.m - MatlabFunctions/
cvx/ , MATLAB, 7 lineslib/ cvx_constant.m - MatlabFunctions/
cvx/ , MATLAB, 24 lineslib/ cvx_default_dimension.m - MatlabFunctions/
cvx/ , C, 220 lineslib/ cvx_eliminate_mex.c - MatlabFunctions/
cvx/ , MATLAB, 19 lineslib/ cvx_expand_dim.m - MatlabFunctions/
cvx/ , MATLAB, 24 lineslib/ cvx_expert_check.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ cvx_getdual.m - MatlabFunctions/
cvx/ , MATLAB, 152 lineslib/ cvx_global.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ cvx_id.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ cvx_ids.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ cvx_isaffine.m - MatlabFunctions/
cvx/ , MATLAB, 13 lineslib/ cvx_isconcave.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ cvx_isconstant.m - MatlabFunctions/
cvx/ , MATLAB, 13 lineslib/ cvx_isconvex.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ cvx_isnonzero.m - MatlabFunctions/
cvx/ , MATLAB, 45 lineslib/ cvx_r2c.m - MatlabFunctions/
cvx/ , MATLAB, 10 lineslib/ cvx_readlevel.m - MatlabFunctions/
cvx/ , MATLAB, 51 lineslib/ cvx_reduce_size.m - MatlabFunctions/
cvx/ , MATLAB, 66 lineslib/ cvx_remap.m - MatlabFunctions/
cvx/ , MATLAB, 65 lineslib/ cvx_reshape.m - MatlabFunctions/
cvx/ , MATLAB, 77 lineslib/ cvx_run_solver.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ cvx_setdual.m - MatlabFunctions/
cvx/ , MATLAB, 28 lineslib/ cvx_setpath.m - MatlabFunctions/
cvx/ , MATLAB, 47 lineslib/ cvx_setspath.m - MatlabFunctions/
cvx/ , MATLAB, 27 lineslib/ cvx_size_check.m - MatlabFunctions/
cvx/ , MATLAB, 64 lineslib/ cvx_subs2str.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ cvx_subsasgn.m - MatlabFunctions/
cvx/ , MATLAB, 8 lineslib/ cvx_subsref.m - MatlabFunctions/
cvx/ , MATLAB, 26 lineslib/ cvx_subsref_check.m - MatlabFunctions/
cvx/ , MATLAB, 36 lineslib/ cvx_use_sparse.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ cvx_value.m - MatlabFunctions/
cvx/ , MATLAB, 6 lineslib/ cvx_values.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ cvx_vexity.m - MatlabFunctions/
cvx/ , MATLAB, 10 lineslib/ cvx_zeros.m - MatlabFunctions/
cvx/ , MATLAB, 11 lineslib/ narginchk_/ narginchk.m - MatlabFunctions/
cvx/ , MATLAB, 55 linessdpt3/ Examples/ Asum.m - MatlabFunctions/
cvx/ , MATLAB, 67 linessdpt3/ Examples/ Doptdesign.m - MatlabFunctions/
cvx/ , MATLAB, 49 linessdpt3/ Examples/ ToeplitzApprox.m - MatlabFunctions/
cvx/ , MATLAB, 42 linessdpt3/ Examples/ ToeplitzApproxSQQ.m - MatlabFunctions/
cvx/ , MATLAB, 25 linessdpt3/ Examples/ adjmat.m - MatlabFunctions/
cvx/ , MATLAB, 84 linessdpt3/ Examples/ cheby0.m - MatlabFunctions/
cvx/ , MATLAB, 85 linessdpt3/ Examples/ chebyinf.m - MatlabFunctions/
cvx/ , MATLAB, 46 linessdpt3/ Examples/ chebymat.m - MatlabFunctions/
cvx/ , MATLAB, 103 linessdpt3/ Examples/ control.m - MatlabFunctions/
cvx/ , MATLAB, 36 linessdpt3/ Examples/ corrmat.m - MatlabFunctions/
cvx/ , MATLAB, 84 linessdpt3/ Examples/ dwd.m - MatlabFunctions/
cvx/ , MATLAB, 78 linessdpt3/ Examples/ etp.m - MatlabFunctions/
cvx/ , MATLAB, 42 linessdpt3/ Examples/ geometric_mean.m - MatlabFunctions/
cvx/ , MATLAB, 71 linessdpt3/ Examples/ gpp.m - MatlabFunctions/
cvx/ , MATLAB, 27 linessdpt3/ Examples/ gppschur.m - MatlabFunctions/
cvx/ , MATLAB, 48 linessdpt3/ Examples/ igmres.m - MatlabFunctions/
cvx/ , MATLAB, 47 linessdpt3/ Examples/ lmiexamp1.m - MatlabFunctions/
cvx/ , MATLAB, 61 linessdpt3/ Examples/ lmiexamp2.m - MatlabFunctions/
cvx/ , MATLAB, 49 linessdpt3/ Examples/ lmiexamp3.m - MatlabFunctions/
cvx/ , MATLAB, 44 linessdpt3/ Examples/ lmifun.m - MatlabFunctions/
cvx/ , MATLAB, 43 linessdpt3/ Examples/ lmifun2.m - MatlabFunctions/
cvx/ , MATLAB, 80 linessdpt3/ Examples/ logcheby.m - MatlabFunctions/
cvx/ , MATLAB, 62 linessdpt3/ Examples/ logchebyRcone.m - MatlabFunctions/
cvx/ , MATLAB, 54 linessdpt3/ Examples/ max_kcut.m - MatlabFunctions/
cvx/ , MATLAB, 56 linessdpt3/ Examples/ maxcut.m - MatlabFunctions/
cvx/ , MATLAB, 18 linessdpt3/ Examples/ mcpschur.m - MatlabFunctions/
cvx/ , MATLAB, 84 linessdpt3/ Examples/ minEpts.m - MatlabFunctions/
cvx/ , MATLAB, 109 linessdpt3/ Examples/ norm_min.m - MatlabFunctions/
cvx/ , MATLAB, 47 linessdpt3/ Examples/ orthbasis.m - MatlabFunctions/
cvx/ , MATLAB, 266 linessdpt3/ Examples/ randinfsdp.m - MatlabFunctions/
cvx/ , MATLAB, 89 linessdpt3/ Examples/ randlowranksdp.m - MatlabFunctions/
cvx/ , MATLAB, 50 linessdpt3/ Examples/ randmaxdet.m - MatlabFunctions/
cvx/ , MATLAB, 148 linessdpt3/ Examples/ randsdp.m - MatlabFunctions/
cvx/ , MATLAB, 36 linessdpt3/ Examples/ sdphankel.m - MatlabFunctions/
cvx/ , MATLAB, 68 linessdpt3/ Examples/ thetaproblem.m - MatlabFunctions/
cvx/ , MATLAB, 27 linessdpt3/ Examples/ viewgraph.m - MatlabFunctions/
cvx/ , MATLAB, 28 linessdpt3/ HSDSolver/ HSDHKMcorr.m - MatlabFunctions/
cvx/ , MATLAB, 46 linessdpt3/ HSDSolver/ HSDHKMdirfun.m - MatlabFunctions/
cvx/ , MATLAB, 85 linessdpt3/ HSDSolver/ HSDHKMpred.m - MatlabFunctions/
cvx/ , MATLAB, 79 linessdpt3/ HSDSolver/ HSDHKMrhsfun.m - MatlabFunctions/
cvx/ , MATLAB, 30 linessdpt3/ HSDSolver/ HSDNTcorr.m - MatlabFunctions/
cvx/ , MATLAB, 44 linessdpt3/ HSDSolver/ HSDNTdirfun.m - MatlabFunctions/
cvx/ , MATLAB, 66 linessdpt3/ HSDSolver/ HSDNTpred.m - MatlabFunctions/
cvx/ , MATLAB, 97 linessdpt3/ HSDSolver/ HSDNTrhsfun.m - MatlabFunctions/
cvx/ , MATLAB, 124 linessdpt3/ HSDSolver/ HSDbicgstab.m - MatlabFunctions/
cvx/ , MATLAB, 193 linessdpt3/ HSDSolver/ HSDlinsysolve.m - MatlabFunctions/
cvx/ , MATLAB, 74 linessdpt3/ HSDSolver/ HSDsortA.m - MatlabFunctions/
cvx/ , MATLAB, 339 linessdpt3/ HSDSolver/ HSDsqlp.m - MatlabFunctions/
cvx/ , MATLAB, 57 linessdpt3/ HSDSolver/ HSDsqlpCpert.m - MatlabFunctions/
cvx/ , MATLAB, 174 linessdpt3/ HSDSolver/ HSDsqlpcheckconvg.m - MatlabFunctions/
cvx/ , MATLAB, 771 linessdpt3/ HSDSolver/ HSDsqlpmain.m - MatlabFunctions/
cvx/ , MATLAB, 106 linessdpt3/ HSDSolver/ HSDsqlpmisc.m - MatlabFunctions/
cvx/ , MATLAB, 55 linessdpt3/ Solver/ AXfun.m - MatlabFunctions/
cvx/ , MATLAB, 41 linessdpt3/ Solver/ Arrow.m - MatlabFunctions/
cvx/ , MATLAB, 50 linessdpt3/ Solver/ Atyfun.m - MatlabFunctions/
cvx/ , MATLAB, 36 linessdpt3/ Solver/ HKMcorr.m - MatlabFunctions/
cvx/ , MATLAB, 50 linessdpt3/ Solver/ HKMdirfun.m - MatlabFunctions/
cvx/ , MATLAB, 88 linessdpt3/ Solver/ HKMpred.m - MatlabFunctions/
cvx/ , MATLAB, 99 linessdpt3/ Solver/ HKMrhsfun.m - MatlabFunctions/
cvx/ , C, 168 linessdpt3/ Solver/ Mexfun/ mexMatvec.c - MatlabFunctions/
cvx/ , C, 309 linessdpt3/ Solver/ Mexfun/ mexProd2.c - MatlabFunctions/
cvx/ , C, 195 linessdpt3/ Solver/ Mexfun/ mexProd2nz.c - MatlabFunctions/
cvx/ , C, 64 linessdpt3/ Solver/ Mexfun/ mexexpand.c - MatlabFunctions/
cvx/ , C, 153 linessdpt3/ Solver/ Mexfun/ mexinprod.c - MatlabFunctions/
cvx/ , C, 341 linessdpt3/ Solver/ Mexfun/ mexmat.c - MatlabFunctions/
cvx/ , C, 67 linessdpt3/ Solver/ Mexfun/ mexnnz.c - MatlabFunctions/
cvx/ , C, 143 linessdpt3/ Solver/ Mexfun/ mexqops.c - MatlabFunctions/
cvx/ , C, 475 linessdpt3/ Solver/ Mexfun/ mexschur.c - MatlabFunctions/
cvx/ , C, 149 linessdpt3/ Solver/ Mexfun/ mexschurfun.c - MatlabFunctions/
cvx/ , C, 282 linessdpt3/ Solver/ Mexfun/ mexskron.c - MatlabFunctions/
cvx/ , C, 454 linessdpt3/ Solver/ Mexfun/ mexsmat.c - MatlabFunctions/
cvx/ , C, 782 linessdpt3/ Solver/ Mexfun/ mexsvec.c - MatlabFunctions/
cvx/ , C, 174 linessdpt3/ Solver/ Mexfun/ mextriang.c - MatlabFunctions/
cvx/ , C, 131 linessdpt3/ Solver/ Mexfun/ mextriangsp.c - MatlabFunctions/
cvx/ , MATLAB, 38 linessdpt3/ Solver/ NTcorr.m - MatlabFunctions/
cvx/ , MATLAB, 48 linessdpt3/ Solver/ NTdirfun.m - MatlabFunctions/
cvx/ , MATLAB, 65 linessdpt3/ Solver/ NTpred.m - MatlabFunctions/
cvx/ , MATLAB, 118 linessdpt3/ Solver/ NTrhsfun.m - MatlabFunctions/
cvx/ , MATLAB, 52 linessdpt3/ Solver/ NTscaling.m - MatlabFunctions/
cvx/ , MATLAB, 59 linessdpt3/ Solver/ Prod2.m - MatlabFunctions/
cvx/ , MATLAB, 53 linessdpt3/ Solver/ Prod3.m - MatlabFunctions/
cvx/ , MATLAB, 143 linessdpt3/ Solver/ SDPT3data_SEDUMIdata.m - MatlabFunctions/
cvx/ , MATLAB, 113 linessdpt3/ Solver/ SDPT3soln_SEDUMIsoln.m - MatlabFunctions/
cvx/ , MATLAB, 69 linessdpt3/ Solver/ SDPvalBounds.m - MatlabFunctions/
cvx/ , MATLAB, 44 linessdpt3/ Solver/ blkbarrier.m - MatlabFunctions/
cvx/ , MATLAB, 50 linessdpt3/ Solver/ blkcholfun.m - MatlabFunctions/
cvx/ , MATLAB, 80 linessdpt3/ Solver/ blkeig.m - MatlabFunctions/
cvx/ , MATLAB, 68 linessdpt3/ Solver/ blktrace.m - MatlabFunctions/
cvx/ , MATLAB, 25 linessdpt3/ Solver/ checkdense.m - MatlabFunctions/
cvx/ , MATLAB, 209 linessdpt3/ Solver/ checkdepconstr.m - MatlabFunctions/
cvx/ , MATLAB, 83 linessdpt3/ Solver/ combine_blk.m - MatlabFunctions/
cvx/ , MATLAB, 29 linessdpt3/ Solver/ convertRcone.m - MatlabFunctions/
cvx/ , MATLAB, 119 linessdpt3/ Solver/ convertcmpsdp.m - MatlabFunctions/
cvx/ , MATLAB, 133 linessdpt3/ Solver/ degeneracy.m - MatlabFunctions/
cvx/ , MATLAB, 127 linessdpt3/ Solver/ detect_lblk.m - MatlabFunctions/
cvx/ , MATLAB, 84 linessdpt3/ Solver/ detect_ublk.m - MatlabFunctions/
cvx/ , MATLAB, 164 linessdpt3/ Solver/ gdcomp.m - MatlabFunctions/
cvx/ , MATLAB, 173 linessdpt3/ Solver/ gpcomp.m - MatlabFunctions/
cvx/ , MATLAB, 135 linessdpt3/ Solver/ infeaspt.m - MatlabFunctions/
cvx/ , MATLAB, 230 linessdpt3/ Solver/ linsysolve.m - MatlabFunctions/
cvx/ , MATLAB, 35 linessdpt3/ Solver/ linsysolvefun.m - MatlabFunctions/
cvx/ , MATLAB, 139 linessdpt3/ Solver/ mybicgstab.m - MatlabFunctions/
cvx/ , MATLAB, 28 linessdpt3/ Solver/ mytime.m - MatlabFunctions/
cvx/ , MATLAB, 132 linessdpt3/ Solver/ nzlist.m - MatlabFunctions/
cvx/ , MATLAB, 358 linessdpt3/ Solver/ ops.m - MatlabFunctions/
cvx/ , MATLAB, 45 linessdpt3/ Solver/ qops.m - MatlabFunctions/
cvx/ , MATLAB, 25 linessdpt3/ Solver/ qprod.m - MatlabFunctions/
cvx/ , MATLAB, 30 linessdpt3/ Solver/ randmat.m - MatlabFunctions/
cvx/ , MATLAB, 245 linessdpt3/ Solver/ read_sdpa.m - MatlabFunctions/
cvx/ , MATLAB, 222 linessdpt3/ Solver/ read_sedumi.m - MatlabFunctions/
cvx/ , MATLAB, 78 linessdpt3/ Solver/ scaling.m - MatlabFunctions/
cvx/ , MATLAB, 37 linessdpt3/ Solver/ schurmat_lblk.m - MatlabFunctions/
cvx/ , MATLAB, 102 linessdpt3/ Solver/ schurmat_qblk.m - MatlabFunctions/
cvx/ , MATLAB, 130 linessdpt3/ Solver/ schurmat_sblk.m - MatlabFunctions/
cvx/ , MATLAB, 50 linessdpt3/ Solver/ skron.m - MatlabFunctions/
cvx/ , MATLAB, 37 linessdpt3/ Solver/ smat.m - MatlabFunctions/
cvx/ , MATLAB, 77 linessdpt3/ Solver/ sortA.m - MatlabFunctions/
cvx/ , MATLAB, 323 linessdpt3/ Solver/ sqlp.m - MatlabFunctions/
cvx/ , MATLAB, 90 linessdpt3/ Solver/ sqlparameters.m - MatlabFunctions/
cvx/ , MATLAB, 211 linessdpt3/ Solver/ sqlpcheckconvg.m - MatlabFunctions/
cvx/ , MATLAB, 221 linessdpt3/ Solver/ sqlpdemo.m - MatlabFunctions/
cvx/ , MATLAB, 818 linessdpt3/ Solver/ sqlpmain.m - MatlabFunctions/
cvx/ , MATLAB, 129 linessdpt3/ Solver/ sqlpmisc.m - MatlabFunctions/
cvx/ , MATLAB, 90 linessdpt3/ Solver/ sqlpsummary.m - MatlabFunctions/
cvx/ , MATLAB, 27 linessdpt3/ Solver/ sqlptermcode.m - MatlabFunctions/
cvx/ , MATLAB, 90 linessdpt3/ Solver/ sqlpu2lblk.m - MatlabFunctions/
cvx/ , MATLAB, 181 linessdpt3/ Solver/ steplength.m - MatlabFunctions/
cvx/ , MATLAB, 75 linessdpt3/ Solver/ svec.m - MatlabFunctions/
cvx/ , MATLAB, 150 linessdpt3/ Solver/ symqmr.m - MatlabFunctions/
cvx/ , MATLAB, 217 linessdpt3/ Solver/ validate.m - MatlabFunctions/
cvx/ , MATLAB, 79 linessdpt3/ Solver/ validate_startpoint.m - MatlabFunctions/
cvx/ , MATLAB, 213 linessdpt3/ install_sdpt3.m - MatlabFunctions/
cvx/ , MATLAB, 360 linessdpt3/ sdpt3.m - MatlabFunctions/
cvx/ , MATLAB, 56 linessedumi/ Amul.m - MatlabFunctions/
cvx/ , MATLAB, 47 linessedumi/ Contents.m - MatlabFunctions/
cvx/ , MATLAB, 55 linessedumi/ PopK.m - MatlabFunctions/
cvx/ , MATLAB, 1 linesedumi/ ada_pcg.m - MatlabFunctions/
cvx/ , C, 244 linessedumi/ adendotd.c - MatlabFunctions/
cvx/ , MATLAB, 42 linessedumi/ adendotd.m - MatlabFunctions/
cvx/ , C, 163 linessedumi/ adenscale.c - MatlabFunctions/
cvx/ , MATLAB, 69 linessedumi/ asmDxq.m - MatlabFunctions/
cvx/ , C, 122 linessedumi/ auxfwdpr1.c - MatlabFunctions/
cvx/ , C, 191 linessedumi/ auxgivens.c - MatlabFunctions/
cvx/ , C, 116 linessedumi/ blkaux.c - MatlabFunctions/
cvx/ , C, 440 linessedumi/ blkchol.c - MatlabFunctions/
cvx/ , MATLAB, 60 linessedumi/ blkchol.m - MatlabFunctions/
cvx/ , C, 563 linessedumi/ blkchol2.c - MatlabFunctions/
cvx/ , C, 131 linessedumi/ blkmul.c - MatlabFunctions/
cvx/ , C/C++, 210 linessedumi/ blksdp.h - MatlabFunctions/
cvx/ , C, 298 linessedumi/ bwblkslv.c - MatlabFunctions/
cvx/ , MATLAB, 36 linessedumi/ bwblkslv.m - MatlabFunctions/
cvx/ , C, 138 linessedumi/ bwblkslv2.c - MatlabFunctions/
cvx/ , C, 275 linessedumi/ bwdpr1.c - MatlabFunctions/
cvx/ , MATLAB, 41 linessedumi/ bwdpr1.m - MatlabFunctions/
cvx/ , MATLAB, 101 linessedumi/ cellK.m - MatlabFunctions/
cvx/ , MATLAB, 193 linessedumi/ checkpars.m - MatlabFunctions/
cvx/ , C, 184 linessedumi/ cholsplit.c - MatlabFunctions/
cvx/ , C, 173 linessedumi/ choltmpsiz.c - MatlabFunctions/
cvx/ , MATLAB, 43 linessedumi/ conversion/ Contents.m - MatlabFunctions/
cvx/ , MATLAB, 46 linessedumi/ conversion/ blk2vec.m - MatlabFunctions/
cvx/ , MATLAB, 128 linessedumi/ conversion/ feascpx.m - MatlabFunctions/
cvx/ , MATLAB, 125 linessedumi/ conversion/ feasreal.m - MatlabFunctions/
cvx/ , MATLAB, 74 linessedumi/ conversion/ frompack.m - MatlabFunctions/
cvx/ , MATLAB, 155 linessedumi/ conversion/ fromsdpa.m - MatlabFunctions/
cvx/ , MATLAB, 138 linessedumi/ conversion/ getproblem.m - MatlabFunctions/
cvx/ , MATLAB, 107 linessedumi/ conversion/ prelp.m - MatlabFunctions/
cvx/ , MATLAB, 61 linessedumi/ conversion/ sdpa2vec.m - MatlabFunctions/
cvx/ , MATLAB, 29 linessedumi/ conversion/ sdpasplit.m - MatlabFunctions/
cvx/ , MATLAB, 261 linessedumi/ conversion/ writesdp.m - MatlabFunctions/
cvx/ , C, 308 linessedumi/ ddot.c - MatlabFunctions/
cvx/ , MATLAB, 43 linessedumi/ ddot.m - MatlabFunctions/
cvx/ , MATLAB, 94 linessedumi/ deninfac.m - MatlabFunctions/
cvx/ , MATLAB, 26 linessedumi/ dimacserrors.m - MatlabFunctions/
cvx/ , C, 848 linessedumi/ dpr1fact.c - MatlabFunctions/
cvx/ , MATLAB, 49 linessedumi/ dpr1fact.m - MatlabFunctions/
cvx/ , MATLAB, 128 linessedumi/ eigK.m - MatlabFunctions/
cvx/ , MATLAB, 70 linessedumi/ examples/ test_sedumi.m - MatlabFunctions/
cvx/ , C, 190 linessedumi/ extractA.c - MatlabFunctions/
cvx/ , MATLAB, 48 linessedumi/ extractA.m - MatlabFunctions/
cvx/ , MATLAB, 104 linessedumi/ eyeK.m - MatlabFunctions/
cvx/ , C, 235 linessedumi/ findblks.c - MatlabFunctions/
cvx/ , MATLAB, 39 linessedumi/ frameit.m - MatlabFunctions/
cvx/ , C, 320 linessedumi/ fwblkslv.c - MatlabFunctions/
cvx/ , MATLAB, 48 linessedumi/ fwblkslv.m - MatlabFunctions/
cvx/ , C, 202 linessedumi/ fwdpr1.c - MatlabFunctions/
cvx/ , MATLAB, 41 linessedumi/ fwdpr1.m - MatlabFunctions/
cvx/ , MATLAB, 45 linessedumi/ getDAt.m - MatlabFunctions/
cvx/ , MATLAB, 48 linessedumi/ getDAtm.m - MatlabFunctions/
cvx/ , MATLAB, 40 linessedumi/ getada.m - MatlabFunctions/
cvx/ , C, 261 linessedumi/ getada1.c - MatlabFunctions/
cvx/ , MATLAB, 49 linessedumi/ getada1.m - MatlabFunctions/
cvx/ , C, 214 linessedumi/ getada2.c - MatlabFunctions/
cvx/ , MATLAB, 42 linessedumi/ getada2.m - MatlabFunctions/
cvx/ , C, 569 linessedumi/ getada3.c - MatlabFunctions/
cvx/ , MATLAB, 44 linessedumi/ getada3.m - MatlabFunctions/
cvx/ , MATLAB, 99 linessedumi/ getdense.m - MatlabFunctions/
cvx/ , MATLAB, 60 linessedumi/ getsymbada.m - MatlabFunctions/
cvx/ , C/C++, 52 linessedumi/ givens.h - MatlabFunctions/
cvx/ , C, 168 linessedumi/ givensrot.c - MatlabFunctions/
cvx/ , MATLAB, 40 linessedumi/ givensrot.m - MatlabFunctions/
cvx/ , C, 343 linessedumi/ incorder.c - MatlabFunctions/
cvx/ , MATLAB, 46 linessedumi/ incorder.m - MatlabFunctions/
cvx/ , MATLAB, 360 linessedumi/ install_sedumi.m - MatlabFunctions/
cvx/ , C, 168 linessedumi/ invcholfac.c - MatlabFunctions/
cvx/ , MATLAB, 40 linessedumi/ invcholfac.m - MatlabFunctions/
cvx/ , C, 268 linessedumi/ iswnbr.c - MatlabFunctions/
cvx/ , MATLAB, 114 linessedumi/ iswnbr.m - MatlabFunctions/
cvx/ , MATLAB, 170 linessedumi/ loopPcg.m - MatlabFunctions/
cvx/ , C, 96 linessedumi/ mJdetd.c - MatlabFunctions/
cvx/ , MATLAB, 45 linessedumi/ mat.m - MatlabFunctions/
cvx/ , MATLAB, 104 linessedumi/ maxeigK.m - MatlabFunctions/
cvx/ , MATLAB, 67 linessedumi/ maxstep.m - MatlabFunctions/
cvx/ , MATLAB, 71 linessedumi/ mineigK.m - MatlabFunctions/
cvx/ , MATLAB, 76 linessedumi/ minpsdeig.m - MatlabFunctions/
cvx/ , MATLAB, 38 linessedumi/ my_fprintf.m - MatlabFunctions/
cvx/ , MATLAB, 138 linessedumi/ optstep.m - MatlabFunctions/
cvx/ , C, 1,158 linessedumi/ ordmmd.c - MatlabFunctions/
cvx/ , C/C++, 10 linessedumi/ ordmmd.h - MatlabFunctions/
cvx/ , C, 139 linessedumi/ ordmmdmex.c - MatlabFunctions/
cvx/ , MATLAB, 32 linessedumi/ ordmmdmex.m - MatlabFunctions/
cvx/ , C, 154 linessedumi/ partitA.c - MatlabFunctions/
cvx/ , MATLAB, 40 linessedumi/ partitA.m - MatlabFunctions/
cvx/ , MATLAB, 53 linessedumi/ posttransfo.m - MatlabFunctions/
cvx/ , MATLAB, 542 linessedumi/ pretransfo.m - MatlabFunctions/
cvx/ , MATLAB, 93 linessedumi/ psdeig.m - MatlabFunctions/
cvx/ , MATLAB, 80 linessedumi/ psdfactor.m - MatlabFunctions/
cvx/ , C, 168 linessedumi/ psdframeit.c - MatlabFunctions/
cvx/ , C, 227 linessedumi/ psdinvjmul.c - MatlabFunctions/
cvx/ , MATLAB, 40 linessedumi/ psdinvjmul.m - MatlabFunctions/
cvx/ , MATLAB, 83 linessedumi/ psdinvscale.m - MatlabFunctions/
cvx/ , MATLAB, 73 linessedumi/ psdjmul.m - MatlabFunctions/
cvx/ , MATLAB, 119 linessedumi/ psdscale.m - MatlabFunctions/
cvx/ , C, 116 linessedumi/ qblkmul.c - MatlabFunctions/
cvx/ , MATLAB, 41 linessedumi/ qblkmul.m - MatlabFunctions/
cvx/ , MATLAB, 42 linessedumi/ qframeit.m - MatlabFunctions/
cvx/ , MATLAB, 62 linessedumi/ qinvjmul.m - MatlabFunctions/
cvx/ , MATLAB, 62 linessedumi/ qjmul.m - MatlabFunctions/
cvx/ , C, 296 linessedumi/ qrK.c - MatlabFunctions/
cvx/ , C, 130 linessedumi/ quadadd.c - MatlabFunctions/
cvx/ , MATLAB, 42 linessedumi/ quadadd.m - MatlabFunctions/
cvx/ , C, 357 linessedumi/ reflect.c - MatlabFunctions/
cvx/ , C/C++, 48 linessedumi/ reflect.h - MatlabFunctions/
cvx/ , MATLAB, 79 linessedumi/ sddir.m - MatlabFunctions/
cvx/ , MATLAB, 58 linessedumi/ sdfactor.m - MatlabFunctions/
cvx/ , MATLAB, 105 linessedumi/ sdinit.m - MatlabFunctions/
cvx/ , C, 205 linessedumi/ sdmauxCmp.c - MatlabFunctions/
cvx/ , C, 162 linessedumi/ sdmauxCone.c - MatlabFunctions/
cvx/ , C, 75 linessedumi/ sdmauxFill.c - MatlabFunctions/
cvx/ , C, 58 linessedumi/ sdmauxRdot.c - MatlabFunctions/
cvx/ , C, 67 linessedumi/ sdmauxScalarmul.c - MatlabFunctions/
cvx/ , C, 145 linessedumi/ sdmauxTriu.c - MatlabFunctions/
cvx/ , C, 75 linessedumi/ sdmauxTriudot.c - MatlabFunctions/
cvx/ , MATLAB, 807 linessedumi/ sedumi.m - MatlabFunctions/
cvx/ , MATLAB, 21 linessedumi/ sedumi_binary_error.m - MatlabFunctions/
cvx/ , MATLAB, 3 linessedumi/ sedumi_version.m - MatlabFunctions/
cvx/ , C, 140 linessedumi/ sortnnz.c - MatlabFunctions/
cvx/ , MATLAB, 43 linessedumi/ sortnnz.m - MatlabFunctions/
cvx/ , MATLAB, 49 linessedumi/ sparbwslv.m - MatlabFunctions/
cvx/ , MATLAB, 58 linessedumi/ sparfwslv.m - MatlabFunctions/
cvx/ , MATLAB, 40 linessedumi/ spars.m - MatlabFunctions/
cvx/ , C, 774 linessedumi/ spscale.c - MatlabFunctions/
cvx/ , C, 145 linessedumi/ sqrtinv.c - MatlabFunctions/
cvx/ , MATLAB, 42 linessedumi/ sqrtinv.m - MatlabFunctions/
cvx/ , MATLAB, 175 linessedumi/ stepdif.m - MatlabFunctions/
cvx/ , C, 181 linessedumi/ symbchol.c - MatlabFunctions/
cvx/ , MATLAB, 83 linessedumi/ symbchol.m - MatlabFunctions/
cvx/ , MATLAB, 55 linessedumi/ symbcholden.m - MatlabFunctions/
cvx/ , C, 377 linessedumi/ symbfwblk.c - MatlabFunctions/
cvx/ , C, 2,295 linessedumi/ symfct.c - MatlabFunctions/
cvx/ , C/C++, 17 linessedumi/ symfct.h - MatlabFunctions/
cvx/ , C, 272 linessedumi/ symfctmex.c - MatlabFunctions/
cvx/ , MATLAB, 46 linessedumi/ symfctmex.m - MatlabFunctions/
cvx/ , MATLAB, 44 linessedumi/ tdet.m - MatlabFunctions/
cvx/ , C, 741 linessedumi/ triuaux.c - MatlabFunctions/
cvx/ , C/C++, 70 linessedumi/ triuaux.h - MatlabFunctions/
cvx/ , MATLAB, 71 linessedumi/ triumtriu.m - MatlabFunctions/
cvx/ , MATLAB, 72 linessedumi/ trydif.m - MatlabFunctions/
cvx/ , MATLAB, 108 linessedumi/ updtransfo.m - MatlabFunctions/
cvx/ , C, 490 linessedumi/ urotorder.c - MatlabFunctions/
cvx/ , MATLAB, 40 linessedumi/ urotorder.m - MatlabFunctions/
cvx/ , MATLAB, 38 linessedumi/ vec.m - MatlabFunctions/
cvx/ , C, 175 linessedumi/ vecsym.c - MatlabFunctions/
cvx/ , MATLAB, 40 linessedumi/ vecsym.m - MatlabFunctions/
cvx/ , MATLAB, 127 linessedumi/ widelen.m - MatlabFunctions/
cvx/ , MATLAB, 130 linessedumi/ wrapPcg.m - MatlabFunctions/
cvx/ , MATLAB, 214 linessedumi/ wregion.m - MatlabFunctions/
cvx/ , MATLAB, 17 linessets/ Contents.m - MatlabFunctions/
cvx/ , MATLAB, 49 linessets/ complex_lorentz.m - MatlabFunctions/
cvx/ , MATLAB, 73 linessets/ convex_poly_coeffs.m - MatlabFunctions/
cvx/ , MATLAB, 55 linessets/ exponential.m - MatlabFunctions/
cvx/ , MATLAB, 375 linessets/ geo_mean_cone.m - MatlabFunctions/
cvx/ , MATLAB, 36 linessets/ hermitian_semidefinite.m - MatlabFunctions/
cvx/ , MATLAB, 123 linessets/ lorentz.m - MatlabFunctions/
cvx/ , MATLAB, 160 linessets/ nonneg_poly_coeffs.m - MatlabFunctions/
cvx/ , MATLAB, 36 linessets/ nonnegative.m - MatlabFunctions/
cvx/ , MATLAB, 31 linessets/ norm_ball.m - MatlabFunctions/
cvx/ , MATLAB, 46 linessets/ rotated_complex_lorentz. m - MatlabFunctions/
cvx/ , MATLAB, 118 linessets/ rotated_lorentz.m - MatlabFunctions/
cvx/ , MATLAB, 93 linessets/ semidefinite.m - MatlabFunctions/
cvx/ , MATLAB, 68 linessets/ simplex.m - MatlabFunctions/
cvx/ , MATLAB, 181 linesshims/ cvx_glpk.m - MatlabFunctions/
cvx/ , MATLAB, 286 linesshims/ cvx_gurobi.m - MatlabFunctions/
cvx/ , MATLAB, 470 linesshims/ cvx_mosek.m - MatlabFunctions/
cvx/ , MATLAB, 454 linesshims/ cvx_sdpt3.m - MatlabFunctions/
cvx/ , MATLAB, 300 linesshims/ cvx_sedumi.m - MatlabFunctions/
cvx/ , MATLAB, 38 linesstructures/ @cvx/ structures.m - MatlabFunctions/
cvx/ , MATLAB, 38 linesstructures/ Contents.m - MatlabFunctions/
cvx/ , MATLAB, 314 linesstructures/ cvx_create_structure.m - MatlabFunctions/
cvx/ , MATLAB, 42 linesstructures/ cvx_invert_structure.m - MatlabFunctions/
cvx/ , MATLAB, 81 linesstructures/ cvx_orthog_structure.m - MatlabFunctions/
cvx/ , MATLAB, 23 linesstructures/ cvx_replicate_structure. m - MatlabFunctions/
cvx/ , MATLAB, 64 linesstructures/ cvx_s_banded.m - MatlabFunctions/
cvx/ , MATLAB, 15 linesstructures/ cvx_s_hankel.m - MatlabFunctions/
cvx/ , MATLAB, 34 linesstructures/ cvx_s_hermitian.m - MatlabFunctions/
cvx/ , MATLAB, 46 linesstructures/ cvx_s_sparse.m - MatlabFunctions/
cvx/ , MATLAB, 19 linesstructures/ cvx_s_symmetric.m - MatlabFunctions/
cvx/ , MATLAB, 19 linesstructures/ cvx_s_symmetric_ut.m - MatlabFunctions/
cvx/ , MATLAB, 16 linesstructures/ cvx_s_upper_hankel.m - MatlabFunctions/
madco2D/ , MATLAB, 847 linesMultiDprocFun.m - MatlabFunctions/
madco2D/ , MATLAB, 26 linesNESMA_filtering.m - MatlabFunctions/
madco2D/ , MATLAB, 22 linesNESMA_filtering2D.m - MatlabFunctions/
madco2D/ , MATLAB, 182 linesfilterMDmri.m - MatlabFunctions/
madco2D/ , MATLAB, 42 linesfind_method.m - MatlabFunctions/
madco2D/ , MATLAB, 47 linesfind_multi_method.m - MatlabFunctions/
madco2D/ , MATLAB, 47 linesfind_multi_method_mod.m - MatlabFunctions/
madco2D/ , MATLAB, 47 linesfind_multi_reco.m - MatlabFunctions/
madco2D/ , MATLAB, 43 linesfind_multi_reco2.m - MatlabFunctions/
madco2D/ , MATLAB, 73 linesgeo_mean.m - MatlabFunctions/
madco2D/ , MATLAB, 154 linesreadMDmri.m - MatlabFunctions/
madco2D/ , MATLAB, 93 linesread_2dseq_3D_DiffIsoAcq IRpath.m - MatlabFunctions/
madco2D/ , MATLAB, 84 linesread_2dseq_3D_DiffIsoAcq Path.m - MatlabFunctions/
madco2D/ , MATLAB, 69 linesread_2dseq_3D_TETIpath.m - MatlabFunctions/
madco2D/ , MATLAB, 68 linesread_2dseq_3D_TEpath.m - MatlabFunctions/
madco2D/ , MATLAB, 68 linesread_2dseq_3D_TIpath.m - README.md, Text, 4 lines
The paper's code and data availability statement is in the Data section.
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:
- 2 repositories of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
- 851 scripts, each with its path and the digest of its content;
- no match between paragraphs and code yet;
- 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
No dataset and no data link were found in the paper.
Data availability
The datasets generated and analyzed during the current study are available from the corresponding author upon request, subject to applicable data sharing agreements and conditions of reuse. MATLAB source code for preprocessing and MADCO data inversion is freely available at https://
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, 28 September 2026: the first record
Recorded: type, language, journal, pages, dates, 6 authors, 6 keywords, 90 references.
Cite
This paper
Manninen, E., Comrie, C. J., Serrano, G. E., Beach, T. G., Hutchinson, E. B., & Benjamini, D. (2026). Diffusion-relaxation MRI as virtual histology: separable microstructural signatures of AD pathology in ex vivo human brain. Research square, rs.3.rs-9657671.
BibTeX
@article{manninen2026dif
author = {Manninen, Eppu and Comrie, Courtney J and Serrano, Geidy E and Beach, Thomas G and Hutchinson, Elizabeth B and Benjamini, Dan},
title = {{Diffusion-relaxation MRI as virtual histology: separable microstructural signatures of AD pathology in ex vivo human brain}},
journal = {Research square},
year = {2026},
month = may,
pages = {rs.3.rs--9657671},
publisher = {American Journal Experts},
pmcid = {PMC13232456}
}
RIS
TY - JOUR
AU - Manninen, Eppu
AU - Comrie, Courtney J
AU - Serrano, Geidy E
AU - Beach, Thomas G
AU - Hutchinson, Elizabeth B
AU - Benjamini, Dan
TI - Diffusion-relaxation MRI as virtual histology: separable microstructural signatures of AD pathology in ex vivo human brain
T2 - Research square
PY - 2026
DA - 2026/
SP - rs.3.rs
EP - 9657671
PB - American Journal Experts
LA - en
ER -
CSL-JSON
{
"id": "pmcid:PMC13232456",
"type": "article-journal",
"title": "Diffusion-relaxation MRI as virtual histology: separable microstructural signatures of AD pathology in ex vivo human brain",
"container-title": "Research square",
"author": [
{
"family": "Manninen",
"given": "Eppu"
},
{
"family": "Comrie",
"given": "Courtney J"
},
{
"family": "Serrano",
"given": "Geidy E"
},
{
"family": "Beach",
"given": "Thomas G"
},
{
"family": "Hutchinson",
"given": "Elizabeth B"
},
{
"family": "Benjamini",
"given": "Dan"
}
],
"page": "rs.3.rs-9657671",
"PMCID": "PMC13232456",
"publisher": "American Journal Experts",
"language": "en",
"issued": {
"date-parts": [
[
2026,
5,
25
]
]
}
}
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