Abstract
Publisher Summary This chapter discusses the geometrical models for cells in tissues. Powerful models are needed to bridge the gap between a tissue and its component cells. The chapter describes two geometrical cell models: the cell aggregate model and the boundary shortening model of cells in a tissue. The cell aggregate model describes a cell sheet in which independent spherical cells are crowded and packed so that they are deformed into polygons. However, the boundary shortening model of cells in a tissue can be applied to an actual cellular pattern by using the boundary shortening (BS) procedure. These models are useful in describing cellular patterns and simulating dynamic changes during morphogenesis, developmental processes, and wound healing. These models help in analyzing cellular pattern geometrically and inspect the states or functions of a tissue. The models are discussed with respect to mechanics and geometry.
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