A Hybrid Discrete-Continuum Model for 3-D Skeletogenesis of the Vertebrate Limb

We present a dynamic, three-dimensional, composite model framework for vertebrate development. Our integrated model combines submodels that address length-scales from subcellular to tissues and organs in a unified framework. Interacting submodels include a discrete model derived from non-equilibrium statistical mechanics (Cellular Potts Model) and continuous reaction-diffusion models. A state diagram with associated rules and a set of ordinary differential equations model genetic regulation to define and control cell differentiation. We apply the model spatiotemporal bone patterning in the proximo-distal (from body towards digits) direction of developing avian limb.

• Type: Conference
• Year: 2004
• Where: ACRI
• Authors: Rajiv Chaturvedi, Chengbang Huang, Jesús A. Izaguirre, Stuart A. Newman, James A. Glazier, Mark S. Alber
• Keywords: ACRI 2004, Composite Model Framework, Model, Model Combines Submodels