Models with Lattice-free Center-based Cells Interacting with Continuum Environment Variables

  • John C. Dallon
Part of the Mathematics and Biosciences in Interaction book series (MBI)


In this chapter we describe a discrete continuum hybrid method applied to two biological systems. The cells are modeled as discrete objects which are free to move in space (lattice-free), the forces which act on the cells are applied to their center of mass (center-based), and the cells interact with something represented as a continuum variable. Dictyostelium discoideum is the first system modeled by the method. The cells move and communicate with each other through a diffusible chemical. In the second system, scar tissue formation, the cells interact with the extracellular matrix which is represented as a continuous vector field.


Dictyostelium Discoideum Scar Tissue Formation Continuous Vector Field Continuum Environment Continuum Hybrid 


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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  • John C. Dallon
    • 1
  1. 1.Department of MathematicsBrigham Young UniversityProvoUSA

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