主 题: Bacteria pattern formation: from cell to continuum
报告人: prof. Chuan XUE (Ohio State University)
时 间: 2009-07-01 下午14:30 - 15:30
地 点: 理科一号楼 1568
The bacterium Proteus mirabilis can form a number of
>complex patterns when grown on hard surfaces. In
>particular,swimmer cells stream inward towards the
>inoculation site, and form radial and spiral streams,
>rings and traveling trains. To understand the underlying
>mechanism of these complicated patterns, we present
>a hybrid cell-based model that incorporates details
>of single cell signal transduction and metabolism.
>By assuming that swimmer cells respond to a
>chemoattractant that they produce, the model predicts
>the formation of radial streams as a result of the
>modulation of the local attractant concentration by
>the cells. The model further predicts the spiral streams
>by incorporating a swimming bias of the cells near
>the surface of the medium. The hybrid cell-based model
>becomes computationally expensive because of the large
>number of cells due to cell division, therefore a higher
>level description is needed. We also present a
>moment-closure method for deriving macroscopic evolution
>equations from the hybrid cell-based model using
>perturbation analysis, and compare the solutions of
>the cell-based model and the derived continuum model.
