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
  - Qin, Y., H. Huang, Y. Zhu, C. Liu, and S. Xu. “A phase field model for mass transport with semi-permeable interfaces.” Journal of Computational Physics 464 (September 1, 2022). https://doi.org/10.1016/j.jcp.2022.111334.
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  - Dai, H., S. Xu, Z. Xu, N. Zhao, C. X. Zhu, and C. Zhu. “A phase field model for compressible immiscible fluids with a new equation of state.” International Journal of Multiphase Flow 149 (April 1, 2022). https://doi.org/10.1016/j.ijmultiphaseflow.2021.103937.
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  - Hu, Yihao, Tong Zhao, Shixin Xu, Lizhen Lin, and Zhiliang Xu. “Neural-PDE: a RNN based neural network for solving time dependent PDEs.” Communications in Information and Systems 22, no. 2 (2022): 223–45.
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  - Shen, L., Z. Xu, P. Lin, H. Huang, and S. Xu. “AN ENERGY STABLE C⁰ FINITE ELEMENT SCHEME FOR A PHASE-FIELD MODEL OF VESICLE MOTION AND DEFORMATION.” Siam Journal on Scientific Computing 44, no. 1 (January 1, 2022): B122–45. https://doi.org/10.1137/21M1416631.
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  - Li, Shixuan, Ruiqi Pan, Arvind Gupta, Shixin Xu, Yibin Fang, and Huaxiong Huang. “Predicting the risk of rupture for vertebral aneurysm based on geometric features of blood vessels.” Royal Society Open Science 8, no. 8 (August 2021): 210392. https://doi.org/10.1098/rsos.210392.
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  - Zhu, Yi, Shixin Xu, Robert S. Eisenberg, and Huaxiong Huang. “A tridomain model for potassium clearance in optic nerve of Necturus.” Biophysical Journal 120, no. 15 (August 2021): 3008–27. https://doi.org/10.1016/j.bpj.2021.06.020.
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  - Chen, Yu, Jin Cheng, Arvind Gupta, Huaxiong Huang, and Shixin Xu. “Numerical method for parameter inference of systems of nonlinear ordinary differential equations with partial observations.” Royal Society Open Science 8, no. 7 (July 2021): 210171. https://doi.org/10.1098/rsos.210171.
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  - Zhu, Y., S. Xu, R. S. Eisenberg, and H. Huang. “Optic nerve microcirculation: Fluid flow and electrodiffusion.” Physics of Fluids 33, no. 4 (April 1, 2021). https://doi.org/10.1063/5.0046323.
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  - Liu, J., Y. Sun, J. Ma, J. Tu, Y. Deng, P. He, R. Li, et al. “Analysis of main risk factors causing stroke in Shanxi Province based on machine learning models.” Informatics in Medicine Unlocked 26 (January 1, 2021). https://doi.org/10.1016/j.imu.2021.100712.
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  - Xiao, C., S. Xu, X. Yuex, and C. Zhang. “HOMOGENIZATION OF A DISCRETE NETWORK MODEL FOR CHEMICAL VAPOR INFILTRATION PROCESS*.” Communications in Mathematical Sciences 19, no. 7 (January 1, 2021): 1809–26. https://doi.org/10.4310/CMS.2021.v19.n7.a3.
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  - McCarthy, Zachary, Shixin Xu, Ashrafur Rahman, Nicola Luigi Bragazzi, Vicente F. Corrales-Medina, Jason Lee, Bruce T. Seet, et al. “Modelling the linkage between influenza infection and cardiovascular events via thrombosis.” Scientific Reports 10, no. 1 (August 2020): 14264. https://doi.org/10.1038/s41598-020-70753-0.
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  - 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 2020): e1007996. https://doi.org/10.1371/journal.pcbi.1007996.
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  - 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.
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  - Xu, S., M. Chen, C. Liu, R. Zhang, and X. Yue. “Behavior of different numerical schemes for random genetic drift.” Bit Numerical Mathematics 59, no. 3 (September 1, 2019): 797–821. https://doi.org/10.1007/s10543-019-00749-4.
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  - 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.
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  - 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.
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  - 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 (January 2019): 586–624. https://doi.org/10.4208/cicp.oa-2017-0167.
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  - Liao, M. J., M. T. Wei, S. X. Xu, H. Daniel Ou-Yang, and P. Sheng. “Non-stokes drag coefficient in single-particle electrophoresis: New insights on a classical problem.” Chinese Physics B 28, no. 8 (January 1, 2019). https://doi.org/10.1088/1674-1056/28/8/084701.
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  - 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 2018): 180780. https://doi.org/10.1098/rsos.180780.
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  - 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): 20170441. https://doi.org/10.1098/rsif.2017.0441.
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  - 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 2017): 13001. https://doi.org/10.1038/s41598-017-12615-w.
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  - Zhang, C., Y. Bai, S. Xu, and X. Yue. “Homogenization for chemical vapor infiltration process.” Communications in Mathematical Sciences 15, no. 4 (January 1, 2017): 1021–40. https://doi.org/10.4310/CMS.2017.v15.n4.a5.
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  - Xu, S., and W. Ren. “Reinitialization of the Level-Set Function in 3d Simulation of Moving Contact Lines.” Communications in Computational Physics 20, no. 5 (November 1, 2016): 1163–82. https://doi.org/10.4208/cicp.210815.180316a.
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  - Xu, S., X. Yue, and C. Zhang. “Homogenization: In mathematics or physics?” Discrete and Continuous Dynamical Systems Series S 9, no. 5 (October 1, 2016): 1575–90. https://doi.org/10.3934/dcdss.2016064.
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  - 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.
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  - Xu, S., and X. Yue. “Homogenization of thermal-hydro-mass transfer processes.” Discrete and Continuous Dynamical Systems Series S 8, no. 1 (February 1, 2015): 55–76. https://doi.org/10.3934/dcdss.2015.8.55.
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  - Zhang, Z., S. Xu, and W. Ren. “Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants.” Physics of Fluids 26, no. 6 (June 5, 2014). https://doi.org/10.1063/1.4881195.
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  - Xu, S., P. Sheng, and C. Liu. “An energetic variational approach for ION transport.” Communications in Mathematical Sciences 12, no. 4 (March 6, 2014): 779–89. https://doi.org/10.4310/CMS.2014.v12.n4.a9.
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  - Wan, L., S. Xu, M. Liao, C. Liu, and P. Sheng. “Self-consistent approach to global charge neutrality in electrokinetics: A surface potential trap model.” Physical Review X 4, no. 1 (January 1, 2014). https://doi.org/10.1103/PhysRevX.4.011042.
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  - 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.
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- 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.
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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

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Education, Training, & Certifications

Subject Headings

Selected Publications

Academic Articles

Conference Papers

Teaching Activities