• Selected publications
  1. S. Ryan and C. Xue. Role of hydrodynamic interactions in bacterial chemotaxis, submitted.

  2. C. Xue and G. Jameson. Recent mathematical models of axonal transport. Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology. Springer, Cham, 2017. 265-285. PDF

  3. C. Xue and X. Yang. Moment-flux models for bacterial chemotaxis in large signal gradients, Journal of Mathematical Biology, Volume 73, Issue 4, pp 977–1000, 2016. PDF

  4. C. Xue, B. Shtylla, and A. Brown. A Stochastic Multiscale Model that Explains the Segregation of Axonal Microtubules and Neurofilaments in Neurological Diseases, PLoS Computational Biology, 2015. PDF

  5. T. Li, A. Sues, M. Winkler and C. Xue. Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms, Vol 25, Issue 4, pp 721-746, M3AS, 2015. PDF

  6. C. Xue. Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling, Journal of Mathematical Biology, published online in 2013, Volume 70, Issue 1-2, pp 1-44, 2015. PDF | Link to Journal | MATLAB code | Errata

  7. Y. Louzoun, C. Xue, G. Lesinski, and A. Friedman. A mathematical model for pancreatic cancer growth and treatments, Journal of Theoretical Biology, 351(21): 74-82, 2014. PDF | MATLAB code

  8. B. Franz, C. Xue, K. Painter, and R. Erban. Travelling waves in hybrid chemotaxis models, Bull. Math. Biol., 76(2): 377-400, 2014. PDF

  9. A. Friedman, B. Hu, and C. Xue. On a multiphase multicomponent model of biofilm growth, Arch. Ration. Mech. Anal., 211(1): 257-300, 2014. PDF | Link to Journal

  10. H. Othmer, X. Xin, and C. Xue. Excitation and adaptation in bacteria -- a model signal transduction system that controls taxis and spatial pattern formation, International Journal of Molecular Sciences, 2013, 14(5), 9205-9248. PDF

  11. H. G. Othmer and C. Xue. The mathematical analysis of biological aggregation and dispersal: progress, problems and perspectives, Dispersal, individual movement and spatial ecology: A mathematical perspective (edited by M. Lewis, P. Maini and S. Petrovskii), 2013. PDF

  12. A. Friedman, B. Hu, and C. Xue. A three dimensional model of chronic wound healing: analysis and computation, DCDS-B, Vol. 17, No. 8, pp. 2691-2712, 2012. PDF

  13. C. Xue, C. S. Chou, C. Y. Kao, C. Sen, and A. Friedman. Propagation of Cutaneous Thermal Injury: A Mathematical Model, Wound Repair and Regen., 20(1):114-22, 2012. PDF

  14. C. Xue, E. Budrene-Kac, and H. G. Othmer. Radial and spiral streams in Proteus mirabilis colonies, PLoS Comput Biol 7(12): e1002332, 2011. PDF

  15. C. Xue, H. Hwang, K. Painter, and R. Erban. Traveling waves in hyperbolic chemotaxis equations, Bull. Math. Biol., 73(8):1695-733, 2011. PDF

  16. A. Friedman and C. Xue. A mathematical model of chronic wounds, Math. Biosci. Eng., 8(2):253-61, 2011. PDF

  17. A. Friedman, B. Hu, and C. Xue. Analysis of a mathematical model of ischemic cutaneous wounds, SIAM J. Math. Anal., Vol 42, Issue 5, pp. 2013-2040, 2010. PDF

  18. C. Xue, A. Friedman, and C. K. Sen. A mathematical model of ischemic cutaneous wounds, Proc. Natl. Acad. Sci. USA, Vol. 106, No. 39, pp. 16782-16787, 2009. (with PNAS highlight) PDF

  19. C. Xue, H. G. Othmer, and R. Erban. From Individual to Collective Behavior of Unicellular Organisms: Recent Results and Open Problems, Multiscale Phenomena in Biology: Proceedings of the 2nd Okinawa Conference on Mathematics and Biology, AIP, Vol. 1167, pp. 3-14, 2009. PDF

  20. H. G. Othmer, K. Painter, D. Umulis, and C. Xue. The intersection of theory and application in elucidating pattern formation in developmental biology, Math. Model. Nat. Phenom., Vol. 4, No. 4, pp. 3-82, 2009. PDF

  21. C. Xue and H. G. Othmer. Multiscale models of taxis-driven patterning in bacterial populations, SIAM J. Appl. Math., Vol. 70, No. 1, pp. 133-167, 2009. PDF