CompuCell3d manual and Tutorial Version 2
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H  owever, in CompuCell3D we are mostly interested in knowing tensor of inertia of a cell with respect to xyz coordinate frame with origin at the center of mass (COM) of a given cell as shown in Fig 21. Now, to calculate such tensor we cannot simply add or subtract terms like  or  to account for lost or gained pixel. If a cell gains or loses a pixel its COM coordinates change. If so then all the xi, yi,zi coordinates that appear in the inertia tensor expression will have different value. Thus for each change in cell shape (gain or loss of pixel) we would have to recalculate inertia tensor from scratch. This would be quite time consuming and would require us to keep track of all the pixels belonging to a given cell. It turns out however that there is a better way of keeping track of inertia tensor for cells. We will be using parallel axis theorem to do the calculations. Paralel axis theorem states that if ICOM is a moment of inertia with respect to axis passing through center of mass then we can calculate moment of inertia with respect to any parallel axis to the one passin through the COM by using the following formula:
Directory: BinDoc -> cc3d binaries -> Manuals Manuals -> 111Equation Chapter 1 Section 1 CompuCell3d reference Manual Version 4 Download 6.67 Mb. Share with your friends:
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