本計畫將建構一個可以描述生物膜，細胞骨架，生物組織等既有消長現象的主動(活性)系統，並將之應用於不同的物理及生物系統中。首先我們將探討其hydrodynamic mode的結構與每個mode的特徵時間尺度，並研究其穩定性。其次我們將討論此系統與一被動(passive)流體相接觸時的介面動力學，然後我們會研究此系統在固體表面形成膜時的動力學。這些研究對於我們關於生物膜(biofilm)，細胞叢集(cell aggregate)，板狀偽足(lamellipodium)等生物系統因集體運動而形成的湧現(emerging)行為的理解，將很有助益。 ;In this proposal, our newly developed (unplished) models for active (polar) permeating gel are presented. We plan to first solve their mode structures and study the stability of the bulk system, then consider the situation when the active gel is in contact with a passive fluid, or when the active gel rests on top of a solid substrate. The result of this series of theoretical investigations will greatly improve our understanding of a broad range of biological activecollective systems, and provide predictions that can be tested by future experiments.
