Cell Boundary Creation and Random Walk

Diffusion Equation with Source: New Cell Boundaries

D?2L

• Diffusion Equation

• Random Walk in Rotation
  Space
  

• No Drift
  (theory for incidental
  
  boundaries: drift absorbed by geometrically necessary boundaries)

C e-1/2 d(n)

• Cell Division

• Existing Cell Walls Immobile
  (sessile locks)
  

• New walls born at zero angle d(n)

• Refinement: L ~ e-1/2

• Wall area
  (#Cells) (Wall area per cell)
  
  (1/L3) (L2) = 1/L = e1/2

• Source = d(Wall area)/de ~ e-1/2

SC

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