Diffusion-Assisted Aggregation and Synchronization inDictyostelium discoideum

Abstract

In biological pattern formation, chemotaxis and cell adhesion are essential. However, we lack quantitative data and a theory to understand their coordination. The cellular dynamics theory presented can clarify how Dictyostelium discoideum amoebae use diffusible cyclic adenosine 3 0 ,5 0 -monophosphate, and coordinate chemotaxis and cell adhesion during aggregation. [S0031-9007(98)

Noise-induced transition from translational to rotational motion of swarms

“…The longitudinal dispersion S = δx 2 is approximately determined by the linear stochastic differential equation (9). A straightforward derivation for a ≫ 1 yields for this property the analytical estimate…”

“…Such collective swarm motions have been observed and investigated in bacterial populations [2,3,4,5,6], in slime molds [7,8,9,10], for the ants [11,12] and fish [13,14,15], in the motion of pedestrians [16] and for the car traffic [17]. To describe these phenomena, various models of collective coherent motion in populations of self-propelled or self-driven particles have been proposed (see [18,19]).…”

Collective dynamics of soft active particles

“…(6) and (8)] relating the diffusion constant, the persistence length, and our order parameter defined in Eq. (5). The data collapse in Fig.…”

“…Examples range from shoals of fish and flocks of birds on the macroscopic level [1,2] to microswimmers and individual cells at the micron scale [3][4][5][6]. At even smaller scales within the cell, myosin motors work collectively on actin filaments to achieve long-range alignment [7].…”

Bifurcations and Phase Differences of Nonlinear Coupled Dictyostelium Systems

“…In recent years, a new synchronization method with a strong attraction ability enabling synchronization has been found from the function of a receptor in Dictyostelium [2][3][4][5][6].…”