2025
Nodular networks in hydrated polyamide desalination membranes enhance water transport
Li D, Liu W, Wang X, Lin W, Zhai J, Fan H, Xiao K, Wang K, Li Y, Jin Y, Fang J, Shen Y, Elimelech M, Huang X. Nodular networks in hydrated polyamide desalination membranes enhance water transport. Science Advances 2025, 11: eadt3324. PMID: 40315324, PMCID: PMC12047419, DOI: 10.1126/sciadv.adt3324.Peer-Reviewed Original ResearchDesalination membranesPolyamide membranesThin-film composite reverse osmosis membranesComposite reverse osmosis membranesPolyamide selective layerCommercial polyamide membranesReverse osmosis membranesPolysulfone substrateWater permeanceOsmosis membranesHydration conditionsSelective layerPolyamide filmsSeparation materialsSurface areaPolyamideThree-dimensional structureWater transportStructural parametersCryo-electron tomographyDense layerHeterogeneous structureWall thicknessThicknessLayer
2005
Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methods
Coifman RR, Lafon S, Lee AB, Maggioni M, Nadler B, Warner F, Zucker SW. Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methods. Proceedings Of The National Academy Of Sciences Of The United States Of America 2005, 102: 7432-7437. PMID: 15899969, PMCID: PMC1140426, DOI: 10.1073/pnas.0500896102.Peer-Reviewed Original ResearchMarkov matrixMacroscopic descriptionGeometric diffusionMultiscale methodDiffusion semigroupsScaling functionsMultiscale natureNewtonian paradigmHarmonic analysisN algorithmMultiscale analysisComplex structureHeterogeneous structureGeometric organizationSemigroupsData representationMatrixSystem leadCompanion articleDifferent scalesGeneralizationGraphDescriptionAlgorithmProblem
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