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Tissue3D is a Mathematica package that represents tissues as graphs composed
of vertices, edges, faces, and cells; access to any part of the data
structure; create, add, and remove any compartment; volume, mass, and center
of mass calculations; and building larger structures from smaller structures.
It includes a finite element library, including hexahedral, hexahedral edge, and
tetrahedral elements; beveled cubes; gaussian quadrature; stiffness matrix; building
of hexahedral elements from tissue vertices; calculation of body forces
through turgor pressure; simulation; cell divison; compartmentalizaiton; and calculation
of the center sof faces, edges, and cells. Simulation includes solution of
ordinary differential equations, cell division, and cell tracking during
cell growth and shape transformations. |