• Selected publications
  1. X. Xue, C. Xue, and M. Tang. The role of intracellular signaling in the stripe formation in engineered E. coli populations. PLoS Comp. Biol., under minor revision, 2018

  2. C. Xue. Bacterial chemotaxis: a classic example of multiscale modeling in biology, Cell Movement: Modeling and Applications, Springer, 2018. PDF

  3. S. Ryan and C. Xue. Role of hydrodynamic interactions in bacterial chemotaxis, submitted.

  4. 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

  5. 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

  6. 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 | typographical errors introduced by the publisher

  7. 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

  8. 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

  9. 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

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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

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

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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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