### How to control the shape of a cluster of cells?

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14 days ago by
Hi, everyone. In my simulation, there is a cluster of cells undergoing cell division. I wonder if I can get the  perimeter L of them and add an energy term,  $\frac{1}{2}k\left(L-L_0\right)^2$12 k(LL0)2 .
I want to simulate the intercellular actin cable et al. in this way.
Community: CompuCell3D

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13 days ago by
That looks like the surface area plugin with   $\lambda_{surface}=\frac{k}{2}$λsurƒ ace=k2 . (In 2d, it generalizes to a perimeter. Should help control pixel' distribution at the periphery)
Can the plugin be used for a cluster of cells (i.e. control the total surface area of these cells not for each cell)?
written 13 days ago by Yuan
I might have misunderstood your original question. By perimeter' you are referring to the resulting shape at the boundary the cluster is forming (are your cells in a ring?) I don't believe you should directly try adding a term that signifies the target length arising from a group of single cells. Best case scenario would probably be using focal point plasticity links(similar to your equation form) between neighboring cell pairs in the cluster in order to control L0,like breaking up L0 into smaller pieces.
written 13 days ago by priyomadhyapok
Actually， the shape is a disc or other polygons, not only a ring. I want to apply the constraint, $\frac{1}{2}k\left(L-L_0\right)^2$12 k(LL0)2 , on the outermost ring of cells. The biological background is, the outermost cells contract to exert a force on the inners. Both the outer and inner cells are of the same type and they are under mitosis. Is it possible to simulate this in CC3D?
Besides, what's the meaning of volume and surface in 2D simulation? I do not see the description in the CC3D tutorial. For example, a cell is made up of 2*2 pixels in 2D, then the surface is 8 and the volume is 4?
Thank you.
written 13 days ago by Yuan
So the point I was trying to make was you can only break your constraint length into smaller lengths and control it using FPP. The Hamiltonian in CC3D is a sum over individual cell components and their interactions.

In 2d, cell volume would generalize to the total number of pixels for the cell. So if you have a 'squarish' cell of 3 by 3, the total number of pixels in this case is 9 which is the volume. Cell surface is given by how the cell is in contact with the boundary, in this case 3*4=12.
written 12 days ago by priyomadhyapok
Yeah， I will have a try. Thank you so much.
written 10 days ago by Yuan