An integrodifferential model for orientational distributions of F-actin in cells
SIAM Journal on Applied Mathematics
AIMS '07 Proceedings of the 1st international conference on Autonomous Infrastructure, Management and Security: Inter-Domain Management
Mathematical and Computer Modelling: An International Journal
| Hi-index | 0.98 |
A new model for interacting ''agents'' (organisms, cells, particles etc.) is proposed. We consider the one-dimensional case in which agents are characterized by their position and orientation (+/-) with ''majority-based'' local (swarming) interaction controlled by a sensitivity parameter (@?). The model possesses equilibrium solutions corresponding to the diffusive (isotropic) and the aligned (swarming) state. In the space-independent case, for @? 1 alignment asymptotically occurs while for 0