Off-the-lattice models Flashcards
Describe the Langevin equations for cell motility
what is a general mathematical formalization of a force applied on a cell i from cell j
the force magnitude is exponentially dropping with increasing distance
r:repulsion , a; attraction,
Describe a particle based off-lattice model for modelling attraction towars elongated structures for a vascular network simulation
Role of cell shape in Langevin dynamics model?
Repulsion force when “nuclei” get conjugated and atraction force when cell gets in the lamilipodia area of the cell.
What is the average number of cell neighbours in an epithelial tissue?
6
Derive the average number of neighbour cells in an epithelial tissue
with A: area, l: boundary interface , Л: linear tension, L: circumference Г: contractility
What are the two sources of new cell vertices?
P: Cell division and S: neighbour division
What is the probability of forming a 5 vertices cell from a 7 vertices cell?
binomial distribution (pythagoras triangle):
3/8
If two neighbours divide how many new vertices will be formed?
2 duhh
Topological transitions?
How does increase in contractility influence neighbourhood order?
higher contractility leads to more spread out distribution with much bigger high-order and small low order neighbourhood cells.
What happens with cell neighbourhood order with negative line tension (soft network)?
The cells will have unchnged neighbourhood order distribution. However, unlike what is seen most often in experiments all neighourhood order cells will have the same size.
What re the special things to consider in plant tissue modelling?
Cell wall!! => no T1/T2 transitions.
Symplastic tissue mechanics similiar to CPM. Division is not driven by biophysical forces as the vertex model but new nodes are being introduced. Unlike the elastic vertex model cell membrane after a certain threshold of yielding the cell wall will permanently be extended (a node will be added)
