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).
P. Zhang and X. Zheng. Numerical studies of
2D free surface waves with fixed bottom. J. Comput.
Math. 20, no. 4, 391-412(2002).
Book Chapters
Book: "Modeling Tumor Vasculature:Molecular, Cellular, and
Tissue Level Aspects and Implication", editor: T. Jackson, ISBN:
978-1-4614-0051-6 (Print) 978-1-4614-0052-3 (Online), Springer,
2011.
Chapter: "A Cell-Based Model of Endothelial Cell Elongation,
Proliferation and Maturation in Corneal Angiogenesis", by T.
Jackson and X. Zheng.
Book: "INTERFACE PROBLEMS AND METHODS IN BIOLOGICAL AND
PHYSICAL FLOWS", editors: Khoo, Li, Lin. Lecture Notes Series,
Institute for Mathematical Sciences, National University of
Singapore - Vol. 17. 2009 World Scientific Publishing Co. Pte.
Ltd.
Chapter: "Lecture Notes on Nonlinear Tumor Growth: Modeling and
Simulation" (J S Lowengrub et al.)
Book "Selected Topics in Cancer Modeling. Genesis, Evolution,
Immune Competition, and Therapy", editors: Bellomo, Chaplain and
De Angelis. 2008 Birkhauser Boston.
Chapter: "Nonlinear modeling and Simulation of tumor growth".
Authors: V. Cristini, H. B. Frieboes, X. Li, J. S. Lowengrub, P.
Macklin, S. Sanga, S. M. Wise, and X. Zheng.
Teachings
General applied mathemtics
courses, including numerical analysis, scientific computing, and
mathematical biology.