{"id":108,"date":"2014-02-25T01:31:45","date_gmt":"2014-02-25T01:31:45","guid":{"rendered":"http:\/\/pages.charlotte.edu\/duan-chen\/?page_id=108"},"modified":"2022-09-30T02:29:07","modified_gmt":"2022-09-30T02:29:07","slug":"publications","status":"publish","type":"page","link":"http:\/\/pages.charlotte.edu\/duan-chen\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<h3><\/h3>\n<ul>\n<li>(with Shaoyu Li, etc) <a href=\"https:\/\/www.aimsciences.org\/article\/doi\/10.3934\/fods.2022013\">Geometric structure guided model and algorithms for complete deconvolution of gene expression data<\/a>, Foundation of Data Sciences, 4(3), 441-466, 2022<\/li>\n<li>(with Shaoyu Li, etc) <a href=\"http:\/\/pages.charlotte.edu\/duan-chen\/wp-content\/uploads\/sites\/85\/2021\/04\/CIS_21_01_A01.pdf\">Fast random algorithms for manifold based optimization in reconstructing 3D chromosomal structures<\/a>, Communications in Information and System, 21(1), 1-29, 2021<\/li>\n<li>(with Wei Cai); <a href=\"http:\/\/pages.charlotte.edu\/duan-chen\/wp-content\/uploads\/sites\/85\/2021\/04\/hrcm.pdf\"><span class=\"title-text\">An O(NlogN)\u00a0hierarchical random compression method for kernel matrices by sampling partial matrix entries<\/span><\/a><span style=\"font-size: inherit\">, <\/span><em style=\"font-size: inherit\">Journal of Computational Physics<\/em><span style=\"font-size: inherit\">; 397(15); 2019;<\/span><\/li>\n<li>Fractional Poisson-Nernst-Planck Model for Gated Ion Channels I: Basic formulation and algorithms, <em>Bulletin of Mathematical Biology<\/em>, 79(11), 2696-2726, 2017;<\/li>\n<li>(with Wei Cai, et al) <a href=\"http:\/\/pages.charlotte.edu\/duan-chen\/wp-content\/uploads\/sites\/85\/2021\/04\/VIE-SIAM2017.pdf\">Accurate and Efficient Volume Integral Equation Method for Electro- magnetic Scattering of 3-D Meta-materials in Layered Media<\/a>, <em>SIAM J. on Scientific Computing<\/em>, 40(1), B259-B282, 2018;<\/li>\n<li>(with G.W. Wei)\u00a0; A Review of Mathematical Modeling, Simulation and Analysis of Membrane Channel Charge Transport\u201d,<em> Elsevier Reference Module in Life Science<\/em>, DOI: 10.1016\/B978-0-12-809633-8.12044-8, <u>2017<\/u>;<\/li>\n<li>(with Wei Cai, et al) Accurate and efficient Nystrom volume integral equation method for the Maxwell equations for multiple 3-D scatterers, <em>Journal of Computational Physics<\/em>, 321, 303-320, 2016;<\/li>\n<li>A New Poisson-Nernst-Planck Model with Ion-Water Interactions for Charge Transport in Ion Channels\u201d, <em>Bulletin of Mathematical Biology<\/em>, 78, 1703-26, 2016;<\/li>\n<li>(with Wei Cai, et al) Quadrature Weights on Tensor-Product Nodes for Accurate Integration of Hypersingular Functions over Some Simple 3-D Geometric Shapes,\u00a0<em>Communications in Computational Physic,\u00a0<\/em>Vol. 20, 1283-1312, 2016;<\/li>\n<li>(with Wei Cai, et al) Investigating the selectivity of KcsA channel by an Image Charge Solvation Method (ICSM) in Molecular Dynamics Simulations\u201d, <em>Communications in Computational Physic<\/em>; 19, 927-943, 2015;<\/li>\n<li>(with G.W. Wei, et al) Impacts of geometric, thermal and tunneling effects on nano-transistors, <em>J. Comp. Phys., 290: 169-187<\/em>\u00a02015;<\/li>\n<li>Modeling and computation of heterogeneous implicit solvent and its applications for biomolecules\u201d. <em>Molecular Based Mathematical Biology<\/em>, 2, 2229-3266, 2014.<\/li>\n<li>(with G.W. Wei) Quantum dynamics in continuum models for proton transport I: Basic formulation, <em>Comm. Comp. Phys.<\/em>, 13, 285-324, 2013;<\/li>\n<li>(with A. Friedman) A two-phase free boundary problem with discontinuous velocity: application to tumor model, <em>J. Math. Anal. Appl,<\/em> 399, 378-393, 2013;<\/li>\n<li>(with A. Friedman, et al) Hypoxia inducible factors mediated-inhibition of cancer by GM-CSF: A mathematical model, <em>Bull. Math. Biol,<\/em> 74, 2752-2777, 201<\/li>\n<li>(with G.W. Wei, et al) High-order fractional partial differential equation for molecular surface construction,\u00a0<em>Mole. Math. Biol,<\/em> 1-25, 2012;<\/li>\n<li>(with G.W. Wei) Quantum dynamics in continuum models for proton transport III: Generalized correlation, <em>J. Chem. Phys<\/em>. 136, 124109, 2012;<\/li>\n<li>(with G.W. Wei, et al) Quantum dynamics in continuum models for proton transport II: Variational interface, <em>Int., J., Numer. Meth. Biomed. Engng,<\/em> 28:25-51, 2012<\/li>\n<li>(with G.W. Wei, et al) Second-order Poisson-Nernst-Planck solver for ion channel transport.\u00a0<em>J. Comp. Phys<\/em>, 230, 5239-5262, 2011.<\/li>\n<li>(with G.W. Wei, et al) MIBPB: A software package for electrostatic analysis,\u00a0<em>J. of Comp. Chem.<\/em>, 32, 756-770, 2011;<\/li>\n<li>(with G.W. Wei) Modeling and simulation of electronic structure, material interface and random doping in nano-electronic devices, <em>J. Comp. Phys.<\/em>, 229, vol. 229, 4431-4460, 2010.<\/li>\n<li>(with G.W. Wei, et al) Computational methods for optical molecular imaging, <em>Commun. Num. Meth. Engng,<\/em> vol. 25, 1137-1161, 2008;<\/li>\n<li>(with C.F. Xu, et al) Delta-sequence approach to solve PDE based on Daubechies wavelets,<em>\u00a0J. Huazhong Univ, Sci. Technolo. Nat. Sci.<\/em> Vol. 32, No. 10, 114-116, 2004;<\/li>\n<li>(with C.F. Xu, et al) Delta-sequence approach to a two point boundary value problem using Daubechies wavelets,\u00a0<em>J. Huazhong Univ, Sci. Technolo. Nat. Sci.<\/em>\u00a0Vol. 32, No. 5, 40-42, 2006;<\/li>\n<li>(with C. F. Xu, et al) Meshless method based on natural boundary element,\u00a0<em>J. Huazhong Univ, Sci. Technolo. Nat. Sci.<\/em>\u00a0Vol. 32, No. 12, 105-107, 2004;<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>(with Shaoyu Li, etc) Geometric structure guided model and algorithms for complete deconvolution of gene expression data, Foundation of Data Sciences, 4(3), 441-466, 2022 (with Shaoyu Li, etc) Fast random algorithms for manifold based optimization in reconstructing 3D chromosomal structures, Communications in Information and System, 21(1), 1-29, 2021 (with Wei Cai); An O(NlogN)\u00a0hierarchical random compression [&hellip;]<\/p>\n","protected":false},"author":333,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"coauthors":[4],"class_list":["post-108","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/pages\/108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/users\/333"}],"replies":[{"embeddable":true,"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/comments?post=108"}],"version-history":[{"count":12,"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/pages\/108\/revisions"}],"predecessor-version":[{"id":214,"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/pages\/108\/revisions\/214"}],"wp:attachment":[{"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/media?parent=108"}],"wp:term":[{"taxonomy":"author","embeddable":true,"href":"http:\/\/pages.charlotte.edu\/duan-chen\/wp-json\/wp\/v2\/coauthors?post=108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}