The motion law of PPS is described as following:
where a positive change of is a turn to the right. The parameter
represents a fixed rotation,
models a rotation proportional to local neighborhood size. Neighborhood configuration affects
in each time step, in turn changing a particle’s position, ultimately yielding new local configurations. This feedback loop governs the self-organization of the PPS system.
Each particle holds position and heading
at every time step t.
https://www.researchgate.net/publication/23319484_Shapes_and_Self-Movement_in_Protocell_Systems