| Summary: | 碩士 === 國立中央大學 === 物理學系 === 101 === It has been known that both spatial information and cell lineage are important in the regulation and morphogenesis of biological tissues. The relaxation dynamics of a tissue toward its steady state is still poorly understood. Furthermore, if there exists physiological or even mechanical mechanism that drives a tissue unstable, it could be a route toward carcinogenesis. To study these problems, we first study the general properties of a cell lineage population dynamics. We find that in general cell lineage systems allow the existence of multiple steady states, and this could be related to tissue development and carcinogenesis. Second, we study the relaxation dynamics of a tissue toward its steady state by a simplified model of stratified epithelium. By taking into account the fact that the mechanical properties of a tissue, for example viscosity, should depend on the local cell composition, we show that a new instability can happen due to the heterogeneous viscosity in the tissue. Since only few of past studies have taken both spatial information and cell lineage into account simultaneously, we construct a spatial cell lineage model for a continuous self-renewal tissue. We show that a tissue behaves as a low Reynolds number fluid on time scales large compare to cell cycle time with a viscosity depending on local cell composition. In the framework of this general spatial cell lineage model, the effect of morphogen is needed for stratified epithelium steady state to exist. Also, this model allows multiple stratified epithelium steady state, so the process of transition and competition between these steady states can be studied in the future.
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