Shixin Xu
Assistant Professor of Mathematics at Duke Kunshan University
Shixin Xu is an Assistant Professor of Mathematics. His research interests are machine learning and data-driven model for diseases, multiscale modeling of complex fluids, Neurovascular coupling, homogenization theory, and numerical analysis. The current projects he is working on are
- image data-based for the prediction of hemorrhagic transformation in acute ischemic stroke,
- electrodynamics modeling
- electrochemical modeling
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
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Education, Training, & Certifications
- Expertise
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Subject Headings
- Publications & Artistic Works
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Selected Publications
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Academic Articles
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Hui, Dongna, Yiyang Sun, Shixin Xu, Junjie Liu, Ping He, Yuhui Deng, Huaxiong Huang, Xiaoshuang Zhou, and Rongshan Li. “Analysis of clinical predictors of kidney diseases in type 2 diabetes patients based on machine learning.” International Urology and Nephrology 55, no. 3 (March 2023): 687–96. https://doi.org/10.1007/s11255-022-03322-1.Full Text Open Access Copy
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Xiao, Chun, Huaxiong Huang, Shixin Xu, Tao Yu, and Xingye Yue. “Homogenization theory of ion transportation in multicellular tissue.” Discrete and Continuous Dynamical Systems B 0, no. 0 (2023): 0–0. https://doi.org/10.3934/dcdsb.2023072.Full Text Open Access Copy
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Ma, Jing, Yiyang Sun, Junjie Liu, Huaxiong Huang, Xiaoshuang Zhou, and Shixin Xu. “Multi-objective learning and explanation for stroke risk assessment in Shanxi province.” Scientific Reports 12, no. 1 (December 2022): 22337. https://doi.org/10.1038/s41598-022-26595-z.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Open Access Copy Link to Item
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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.Full Text Open Access Copy
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Zhao, Q., S. Xu, and W. Ren. “A Level Set Method for the Simulation of Moving Contact Lines in Three Dimensions.” Communications in Computational Physics 32, no. 5 (January 1, 2022): 1310–31. https://doi.org/10.4208/cicp.OA-2022-0021.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text
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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.Full Text Open Access Copy
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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.Full Text Open Access Copy
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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.Full Text
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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.Full Text
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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.Full Text
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Conference Papers
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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
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- Teaching & Mentoring
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Teaching Activities
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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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Session 1: Math 101 recitation
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