Shixin Xu | Scholars@Duke

Shixin Xu
Assistant Professor of Mathematics at Duke Kunshan University

Current Research Interests

Mathematical Modeling for Complex Fluid in Biology and Physics, Energy Variation Method, Fluid-Structure Interaction, Model-Based Machine Learning, Gaussian Process for Parameter Estimation, Cardio-Pulmonary Disease Modeling

Current Appointments & Affiliations

Assistant Professor of Mathematics at Duke Kunshan University, DKU Faculty, Duke Kunshan University 2019

Contact Information

Background
Education, Training, & Certifications
- Ph.D., University of Science and Technology of China (China) 2013
Expertise
Subject Headings
- Applied mathematics
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Xu, Shixin, Joshua C. Chang, Carson C. Chow, K. C. Brennan, and Huaxiong Huang. “A mathematical model for persistent post-CSD vasoconstriction.” Plos Computational Biology 16, no. 7 (July 15, 2020): e1007996. https://doi.org/10.1371/journal.pcbi.1007996.
    Full Text
  - Shen, L., H. Huang, P. Lin, Z. Song, and S. Xu. “An energy stable C⁰ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density.” Journal of Computational Physics 405 (March 15, 2020). https://doi.org/10.1016/j.jcp.2019.109179.
    Full Text
  - Xu, Shixin, Minxin Chen, Chun Liu, Ran Zhang, and Xingye Yue. “Behavior of different numerical schemes for random genetic drift.” Bit Numerical Mathematics 59, no. 3 (September 2019): 797–821. https://doi.org/10.1007/s10543-019-00749-4.
    Full Text
  - Liao, Mai-Jia, Ming-Tzo Wei, Shi-Xin Xu, H. Daniel Ou-Yang, and Ping Sheng. “Non-Stokes drag coefficient in single-particle electrophoresis: New insights on a classical problem.” Chinese Physics B 28, no. 8 (August 2019): 084701–084701. https://doi.org/10.1088/1674-1056/28/8/084701.
    Full Text
  - Zhu, Yi, Shixin Xu, Robert S. Eisenberg, and Huaxiong Huang. “A Bidomain Model for Lens Microcirculation.” Biophysical Journal 116, no. 6 (March 2019): 1171–84. https://doi.org/10.1016/j.bpj.2019.02.007.
    Full Text
  - Xu, S., X. Chen, C. Liu, and X. Yue. “Numerical method for multi-alleles genetic drift problem.” Siam Journal on Numerical Analysis 57, no. 4 (January 1, 2019): 1770–88. https://doi.org/10.1137/18M1211581.
    Full Text
  - Xu, Shixin, Mark Alber, and Zhiliang Xu. “Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and its Computational Implementation.” Communications in Computational Physics 25, no. 2 (2019). https://doi.org/10.4208/cicp.oa-2017-0167.
    Full Text
  - Zhao, Xiukun, Nathan Gold, Yibin Fang, Shixin Xu, Yongxin Zhang, Jianmin Liu, Arvind Gupta, and Huaxiong Huang. “Vertebral artery fusiform aneurysm geometry in predicting rupture risk.” Royal Society Open Science 5, no. 10 (October 31, 2018): 180780. https://doi.org/10.1098/rsos.180780.
    Full Text Open Access Copy
  - Xu, Shixin, Zhiliang Xu, Oleg V. Kim, Rustem I. Litvinov, John W. Weisel, and Mark Alber. “Model predictions of deformation, embolization and permeability of partially obstructive blood clots under variable shear flow.” Journal of the Royal Society, Interface 14, no. 136 (November 2017). https://doi.org/10.1098/rsif.2017.0441.
    Full Text
  - Höök, Peter, Rustem I. Litvinov, Oleg V. Kim, Shixin Xu, Zhiliang Xu, Joel S. Bennett, Mark S. Alber, and John W. Weisel. “Strong Binding of Platelet Integrin αIIbβ3 to Fibrin Clots: Potential Target to Destabilize Thrombi.” Scientific Reports 7, no. 1 (October 11, 2017): 13001. https://doi.org/10.1038/s41598-017-12615-w.
    Full Text Open Access Copy
  - Zhang, Changjuan, Yun Bai, Shixin Xu, and Xingye Yue. “Homogenization for chemical vapor infiltration process.” Communications in Mathematical Sciences 15, no. 4 (2017): 1021–40. https://doi.org/10.4310/cms.2017.v15.n4.a5.
    Full Text
  - Xu, Shixin, and Weiqing Ren. “Reinitialization of the Level-Set Function in 3d Simulation of Moving Contact Lines.” Communications in Computational Physics 20, no. 5 (November 2016): 1163–82. https://doi.org/10.4208/cicp.210815.180316a.
    Full Text
  - Xu, Shixin, Xingye Yue, and Changrong Zhang. “Homogenization: In mathematics or physics?” Discrete and Continuous Dynamical Systems Series S 9, no. 5 (October 2016): 1575–90. https://doi.org/10.3934/dcdss.2016064.
    Full Text
  - Liao, Maijia, Li Wan, Shixin Xu, Chun Liu, and Ping Sheng. “The Poisson–Boltzmann equation and the charge separation phenomenon at the silica-water interface: A holistic approach.” Annals of Mathematical Sciences and Applications 1, no. 1 (2016): 217–49. https://doi.org/10.4310/amsa.2016.v1.n1.a7.
    Full Text
  - Xu, Shixin, and Xingye Yue. “Homogenization of thermal-hydro-mass transfer processes.” Discrete & Continuous Dynamical Systems S 8, no. 1 (2015): 55–76. https://doi.org/10.3934/dcdss.2015.8.55.
    Full Text
  - Zhang, Zhen, Shixin Xu, and Weiqing Ren. “Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants.” Physics of Fluids 26, no. 6 (June 2014): 062103–062103. https://doi.org/10.1063/1.4881195.
    Full Text
  - Xu, Shixin, Minxin Chen, Sheereen Majd, Xingye Yue, and Chun Liu. “Modeling and Simulating Asymmetrical Conductance Changes in Gramicidin Pores.” Computational and Mathematical Biophysics 2, no. 1 (January 1, 2014). https://doi.org/10.2478/mlbmb-2014-0003.
    Full Text
  - Xu, Shixin, Ping Sheng, and Chun Liu. “An energetic variational approach for ion transport.” Communications in Mathematical Sciences 12, no. 4 (2014): 779–89. https://doi.org/10.4310/cms.2014.v12.n4.a9.
    Full Text
  - Wan, Li, Shixin Xu, Maijia Liao, Chun Liu, and Ping Sheng. “Self-Consistent Approach to Global Charge Neutrality in Electrokinetics: A Surface Potential Trap Model.” Physical Review X 4, no. 1 (n.d.). https://doi.org/10.1103/physrevx.4.011042.
    Full Text
- Conference Papers
  - Alber, Mark, Shixin Xu, Zhiliang Xu, Oleg Kim, Samuel Britton, Rustem Litvinov, and John Weisel. “Multi-Scale Models of Deformation of Blood Clots.” In Biophysical Journal, 116:323a-323a. Elsevier BV, 2019. https://doi.org/10.1016/j.bpj.2018.11.1751.
    Full Text
Teaching & Mentoring
Teaching Activities
- Session 1: Math 101 recitation
  Session 2: Math 101 Mathematical Foundation
  Session 3: Math 101 Mathematical Foundation
  Session 4: Math 305 Advanced Linear Algebra

Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.

Education, Training, & Certifications

Subject Headings

Selected Publications

Academic Articles

Conference Papers

Teaching Activities