Skip to main content



  • T. Jackson and X. Zheng. A Cell-Based Model of Endothelial Cell Elongation, Proliferation and Maturation During Corneal Angiogenesis. Bull. Math. Biol. (in press).
  • J.P. Sinek, S. Sanga, X. Zheng, H. B. Frieboes, M. Ferrari and V. Cristini. Predicting drug pharmacokinetics and effect in vascularized tumors using computer simulation. Journal of Mathematical Biology, 58, 485-510 (2009).
  • S. Sanga, H. B. Frieboes, X. Zheng, R. Gatenby, E. L. Bearer and V. Cristini. Predictive oncology: A review of multidisciplinary, multiscale in silico modeling linking phenotype, morphology and growth. NeuroImage, 37, S120-S134 (2007).
  • H. Frieboes, J.S. Lowengrub, S. Wise, X. Zheng, P. Macklin, E.L. Bearrer and V. Cristini. Computer simulation of glioma growth and morphology. Neuroimage, 37, S59-S70 (2007).
  • H. Frieboes, X. Zheng, C.-H. Sun, B. Tromberg, R. Gatenby and V. Cristini. An integrated experimental/computational model of tumor invasion. Cancer Res., 66,1597-1604 (2006).
  • C. Lee, J. Lowengrub, J. Rubinstein and X. Zheng. Phase reconstruction by the weighted least action principle. Journal of Optics A: Pure and Applied Optics, 8,279-289 (2006).
  • X. Yang, A. James, J. Lowengrub, X. Zheng and V. Cristini. An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids. J. Comp. Phys., 217, 364-394 (2006).
  • A. Anderson, X. Zheng and V. Cristini. Adaptive unstructured volume remeshing-I: the method. J. Comp. Phys. 208, 616-625 (2005).
  • X. Zheng, J. Lowengrub, A. Anderson and V. Cristini. Adaptive unstructured volume remeshing-I: Applications to two- and three-dimensional levelset simulations of multiphase flow. J. Comp. Phys. 208, 625-650 (2005).
  • X. Zheng, S.M. Wise and V. Cristini. Nonlinear simulation of tumor necrosis, neo-vascularization and tisse invasion via an adaptive finite-element/level-set method. Bull. Math. Biol. 67, 211-259 (2005).
  • J. Sinek, H. Frieboes, X. Zheng and V. Cristini. Two-dimensional simulations of chemotherapy involving nanoparticles demonstrate fundamental transport and tumor response limitations. Biomedical Microdevices 6, 297-309 (2004).
  • X. Zheng, S.M. Wise, V. Cristini, J.P. Sinek and H.B. Frieboes. Malignant glioma progression and response to therapy in silico. Proceedings of the Sixth World Congress on Computational Mechanics (Beijing, China, 2004).
  • P. Zhang and X. Zheng. Numerical studies of 2D free surface waves with fixed bottom. J. Comput. Math. 20, no. 4, 391-412 (2002).
  • Ph.D., University of California at Irvine, 2005
  • M.S., Peking University, P.R. China, 1999
  • B.S., Nanjing University, P.R. China, 1996
  • Numerical Methods for Free Boundary Problems: Adaptive mesh/Level-set method for multiphase flows; Interface-aligned meshes for free boundary problems
  • Mathematical and Computational Biology: Modeling and simulation of angiogenesis and tumor growth; Mathematical modeling of cell motion

Courses Taught

  • General applied mathematics courses, including numerical analysis, scientific computing, and mathematical biology