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John Dallon's Research Interests

  • Mathematical modeling of wound healing
    Alignment patterns
    Results from an alignment model where collagen protein directs and is aligned by fibroblasts. The thin lines represent collagen fibers, the black dots represent fibroblasts and their tails represent the most recent path the cell has traversed.
    Wound healing simulation
    This figure shows the end results from a wound healing model. The region is a cross section of the wounded dermis. The top of the figure is the surface of the skin. The blue dots represent the location of fibroblasts (cells responsible for repairing the wound) and the lines represent the alignment of the extracellular matrix which makes the dermis. The color of the lines indicates the density of the protein collagen with red indicating high density and blue indicating low density.
    Movie (3,698 KB) This is an animation of the type of simulation described above. The region starts out as a wound filled with a blood clot. As the cells enter the region the blood clot is replaced with the collagen based extracellular matrix. (Not all cell locations are shown.)
    Movie2 (2,698 KB) This animation is similar to the previous animation but the cell locations are not shown and the simulation is animated to a later time.
  • Mathematical modeling of chemotaxis and cell motion
    Aggregation pattern of Dictyostelium discoideum
    An aggregation pattern for simulated Dictyostelium discoideum. Red represents high cell density and blue represents no cell density. (See A discrete cell model with adaptive signalling for aggregation of Dictyostelium discoideum.)
  • Numerical solutions of non-linear partial differential equations
  • Hans Othmer stuff