BYU Homepage
BYU Math Department Homepage

John Dallon's Publications


If you would like a copy of a paper, please send a request by e-mail.


Refereed Publications

    1997:

  1. J.C. Dallon and H.G. Othmer: A Discrete Cell Model with Adaptive Signaling for Aggregation of Dictyostelium discoideum. Phil. Trans. R. Soc. Lond. B 352: 391-417 (1997). Abstract

    1998:

  2. J.C. Dallon and J.A. Sherratt: A Mathematical Model for Fibroblast and Collagen Orientation. Bulletin of Mathematical Biology 60(1): 101-129 (1998). Abstract

  3. J.C. Dallon and H.G. Othmer: A Continuum Analysis of the Chemotactic Signal Seen by Dictyostelium discoideum. Journal of Theoretical Biology. 194: 461-483 (1998). Abstract

    1999:

  4. L. Olsen, P.K. Maini, J.A. Sherratt and J.C. Dallon: Mathematical Modelling of Anisotropy in Fibrous Connective Tissue. Mathematical Biosciences. 158: 145-170 (1999). Abstract

  5. J.C. Dallon, J.A. Sherratt and P.K. Maini: Mathematical Modelling of Extracellular Matrix Dynamics using Discrete Cells: Fiber Orientation and Tissue Regeneration. Journal of Theoretical Biology 199: 449-471 (1999). Abstract

    2000:

  6. J.C. Dallon: Numerical Aspects of Discrete and Continuum Hybrid Models in Cell Biology. Applied Numerical Mathematics 32: 137-159 (2000). Abstract

  7. J.C. Dallon and J.A. Sherratt: A Mathematical Model for Spatially Varying Extracellular Matrix. SIAM Journal of Applied Mathematics 61(2): 506-527 (2000). Abstract

  8. J.C. Dallon, J.A. Sherratt, P.K. Maini and M.W. Ferguson: Biological Implications of a Discrete Mathematical Model for Collagen Deposition and Alignment in Dermal Wound Repair. IMA Journal of Mathematics Applied in Medicine and Biology 17: 379-393 (2000). Abstract

    2001:

  9. J.C. Dallon, J.A. Sherratt, P.K. Maini: Modeling the Effects of Transforming Growth Factor-beta on Extracellular Matrix Alignment in Dermal Wound Repair. Wound Repair and Regeneration. 9(4): 278-286 (2001) Abstract

    2002:

  10. J.A. Sherratt and J.C. Dallon: Theoretical models of wound healing: past successes and future challenges. Comptes Rendus de l'Academie des Sciences. 325: 557-564 (2002)

    2004:

  11. J.C. Dallon and H. G. Othmer: How Cellular movement determines the collective force generated by the Dictyostelium discoideum slug. Journal of Theoretical Biology 231: 203-222 (2004) Abstract

    2006:

  12. J.C. Dallon, W. Jang, and R. H. Gomer: Mathematically modeling the effects of counting factor (CF) in Dictyostelium discoideum Mathematical Medicine and Biology 23: 45-62 (2006) Abstract

  13. S. McDougall, J.C. Dallon, J.A. Sherratt, P.K. Maini: Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications. Philosophical Transactions of Royal Society Series A 364: 1385-1405 (2006) Abstract

    2008:

  14. J.C. Dallon, H. Paul Ehrlich: A Review of Fibroblast Populated Collagen Lattices. Wound Repair and Regeneration.16: 472-479 (2008) Abstract

  15. J.C. Dallon, Elijah Newren, and Marc D.H. Hansen: Using a mathematical model of cadherin-based adhesion to understand the function of the actin cytoskeleton. Submitted. Abstract


Books


Others

  • J.C. Dallon and H.G. Othmer: Models of Dictyostelium Aggregation. In Dynamics of Cell and Tissue Motion (W. Alt, A. Deutsch, and G. Dunn editors), Birkhaeuser, Basel (1997).
  • J.A. Sherratt, J.C. Dallon, T. Hofer and P.K. Maini. Mathematical Modelling of signalling in Dictyostelium discoideum. In Microbial Signalling and Communication (R. England, G. Hobbs, N. Bainton and D. McL. Roberts editors), Cambridge University Press (1999) 241-254. (Society for General Microbiology Symposium 57).
  • H.G. Othmer, B. Lilly and J.C. Dallon: Pattern Formation in a Cellular Slime Mold. Numerical Methods for Bifurcation Problems and Large-scale Dynamical Systems, Springer-Verlag. IMA Volumes in Mathematics and its Applications 119 (2000).
  • J. C. Dallon: Models with Lattice-free Center-based Cells Interacting with Continuum Environment Variables. Single-Cell-Based Models in Biology and Medicine (A.R.A. Anderson, M.A.J. Chaplain, K.A. Rejniak), Birkhaeuser, Basel (2007).

Code