College of Arts and Sciences
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Curriculum Vitae [pdf]
Department of Mathematics
Dr. Liu’s research is multi-disciplinary and mainly lies in the areas of computational and mathematical biology, and computational fluid dynamics. One of his current research is focused on the numerical simulation and mathematical modeling of cancer stem cells and cell signaling pathways, which play vital roles in the development of a variety of life-threatening or chronic diseases, such as cancer, autoimmunity and diabetes. His work has been partially supported by NSF Grants, South Carolina EPSCoR GEAR grants and USC ASPIRE I grant. Dr. Liu has been invited to serve as NSF panel, and referee for more than 25 professional journals, and give more than 90 research talks, department seminars or colloquium at various professional conferences, universities and national labs.
- Shuang Liu, X. F. Liu. Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving free boundaries. DCDS-B, doi: 10.3934/dcdsb.2019176, 2019.
- Sameed Ahmed, X. F. Liu. High order compact integration factor methods for systems with inhomogeneous boundary conditions. Journal of Computational and Applied Mathematics, 348, pp 89-102, 2019.
- X. F. Liu, S. Johnson, S. Liu, D. Kanojia, W. Yue, U. Singn, Qian Wang, Qi Wang, Q. Nie, H. X. Chen. Nonlinear Growth Kinetics of Breast Cancer Stem Cells: Implications for Cancer Stem Cell Targeted Therapy. Scientific Reports (Nature), 3: 2437, DOI: 10.1038/srep02473, 2013.
- C. Chan, X. F. Liu, L. M. Wang, L. Bardwell, Q. Nie, G. Enciso. Protein scaffolds can enhance the bi-stability of multisite phosphorylation systems. PLoS Computational Biology, 8 (6), 2012.
- X. F. Liu, Q. Nie. Compact integration factor methods for complex domains and adaptive mesh refinement. Journal of Computational Physics, 229 (16), pp 5692-5706, 2010.