In this paper, four coarse-graining (CG) models are proposed to accelerate molecular dynamics simulations of FCC metals. To this aim, at first, a proper map between beads of the CG models and atoms of the all-atom (AA) system is assigned, afterwards mass of the beads and the parameters of the CG models are determined in a manner that the CG models and the original all-atom model have the same physical properties. To evaluate and compare precision of these four CG models, different static and dynamic simulations are conducted. The results show that these CG models are at least 4 times faster than the AA model, while their errors are less than 1 percent.
Cell division plays important roles in tissue growth. In pseudostratified epithelia, each cell nucleus migrates apically to facilitate planar-oriented cell division. Cell density and adhesion between cells are known to be two important factors that control the migration of cell nucleus. We have constructed a biomechanical model to investigate the mechanism of upward migration of cell nucleus. The cytoplasm and nucleus in each cell is modeled as two different 3D viscoelastic bodies following generalized Maxwell equations. We derive the equations of motion and formulate a 3D Dynamic Cellular Finite Element Model (3dDyCelFEM). Our test system consists of a center cell and six surrounding cells. We first study the effects of cell density on the center cell by examining its shape and migration speed. We then study the the effects of adhesion strength on the cell migration. Results quantifying these effects on the upward motion of the center cell are reported.
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