21. X. F. Liu, R. Moore, L. Bardwell, Q. Nie. Spatially-localized scaffold proteins may simultaneously boost and supress signaling. Submitted.

20. X. F. Liu, D. Kanojia, P.-K. Lo, Qian Wang, Qi Wang, Q. Nie, H. X. Chen. Mathematical Modeling of Dynamical Interaction Between Cancer Stem Cells and Non-stem Cancer Cells and Its Potential Clinical Implication. Submitted to PNAS, Under Review.

19. K. Basu, X. F. Liu. Mathematical modeling for multisite phosphorylation with substrate sequestration in cell signaling. Submitted to Mathematical Methods in the Applied Sciences.

18. C. Chan, X. F. Liu, L. M. Wang, L. Bardwell, Q. Nie, G. Enciso. Protein scaffolds can enhance the bistability of multisite phosphorylation systems. PLoS Computational Biology, Accepted.

17. P.-K. Lo, D. Kanojia, X. F. Liu, U. P. Singh, F. G. Berger, Q. Wang, H. X. Chen. CD49f and CD61 identify Her2/neu-induced mammary tumor-initiating cells that are potentially derived from luminal progenitors and maintained by the integrin-TGFb signaling. In press, Oncogene, 2011.

16. S. Zhao, J. Ovadia, X. F. Liu, Y.-T. Zhang, Q. Nie. Operator splitting implicit integration factor methods for stiff advection-reaction-diffusion systems. Journal of Computational Physics, 230 (15), pp 5996-6009, 2011.

15. S. Little, V. Mironov, R. Markwald, Y. Sugi, S. Lessner, M. Sutton, X. F. Liu, Q. Wang, X. Yang, J. Blanchette, M. Skiles, G. Khushf. Engineering a 3D biological construct representative research in the South Carolina project for organ biofabrication. Journal of Biofabrication, 030202 (3), 2011.

14. 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.

13. X. F. Liu, L. Bardwell, Q. Nie. A combination of multisite phosphorylation and substrate sequestration produces switch-like responses. Biophysical Journal, 98 (8), pp 1396-1407, 2010.

12. X. F. Liu, Q. Nie. Spatially-localized scaffold proteins may facilitate to transmit long-range signals. Acta Mathematica Scientia, 29B (6), pp 1657-1669, 2009.

11. Q. Nie, F. Y. M. Wan, Y. T. Zhang, X. F. Liu. Compact integration factor methods in high spatial dimensions. Journal of Computational Physics, 277 (10), pp 5238-5255, 2008.

10. W. Bo, H. Jin, D. Kim, X. F. Liu, H. Lee, N. Pestieau, Y. Yu, J. Glimm, J. W. Grove. Comparison and validation of multi phase closure models. Computers and Mathematics with Applications, 56 (5), pp 1291-1302, 2008.

9. X. F. Liu, Y. H. Li, J. Glimm, X. L. Li. A front tracking algorithm for limited mass diffusion. Journal of Computational Physics, 222 (2), pp 644-653, 2007.

8. Z. L. Xu, J. Glimm, Y. M. Zhang, X. F. Liu. A multiscale front tracking method for compressible free surface flows. Chemical Engineering Science, 62 (13), pp 3538-3548, 2007.

7. W. Bo, B. Cheng, J. Du, B. Fix, E. George, J. Glimm, J. Grove, X. Jia, H. Jin, H. Lee, Y. Li, X. F. Liu, D. H. Sharp, L. Wu, Y. Yu. Recent Progress in the Stochastic Analysis of Turbulent Mixing. Contemporary Mathematics, 429, 2007.

6. X. F. Liu, E. George, W. Bo, J. Glimm. Turbulent mixing with physical mass diffusion. Physical Review E., 73, 056301, 2006.

5. E. George, J. Glimm, X. L. Li, Y. H. Li, X. F. Liu. Influence of scale-breaking phenomena on turbulent mixing rates. Physical Review E., 73, 016304, 2006.

4. J. Glimm, B. Fix, J. Liu, X. F. Liu, T. Lu, R. Samulyak, Z. Xu. Front Tracking under TSTT. Numerical Modeling of Space Plasma Flows (Astronum-2006 ASP Conference Series), 359, 15, 2006.

3. H. Jin, X. F. Liu, T. Lu, B. Cheng, J. Glimm, D. Sharp. Rayleigh-Taylor mixing rates for compressible flow. Physics of Fluids, 17, 024104, 2005.

2. B. Fix, J. Glimm, X. Li, Y. Li, X. F. Liu, R. Samulyak. A TSTT integrated Frontier code and its applications in computational fluid physics. Journal of Physics (Conference Series), 16, pp 471-475, 2005.

1. X. F. Liu, M. X. Wang. The Critical Exponent of Doubly Singular Parabolic Equations. Journal of Mathematical Analysis and Applications, 257, pp 170-188, 2001.