TY - JOUR
T1 - Subdiffusion, chemotaxis, and anomalous aggregation.
AU - Fedotov, Sergei
PY - 2011/2
Y1 - 2011/2
N2 - We propose a nonlinear random walk model which is suitable for the analysis of both chemotaxis and anomalous subdiffusive transport. We derive the master equations for the population density for the case when the transition rate for a random walk depends on residence time, chemotactic substance, and population density. We introduce the anomalous chemotactic sensitivity and find an anomalous aggregation phenomenon. So we suggest a different explanation of the well-known effect of chemotactic collapse.
AB - We propose a nonlinear random walk model which is suitable for the analysis of both chemotaxis and anomalous subdiffusive transport. We derive the master equations for the population density for the case when the transition rate for a random walk depends on residence time, chemotactic substance, and population density. We introduce the anomalous chemotactic sensitivity and find an anomalous aggregation phenomenon. So we suggest a different explanation of the well-known effect of chemotactic collapse.
U2 - 10.1103/PhysRevE.83.021110
DO - 10.1103/PhysRevE.83.021110
M3 - Article
C2 - 21405821
SN - 1539-3755
VL - 83
JO - Physical review. E, Statistical, nonlinear, and soft matter physics
JF - Physical review. E, Statistical, nonlinear, and soft matter physics
IS - 2 Pt 1
ER -