Db
|
(One-dimensional) diffusion coefficient of bound motors. |
Dub
|
Diffusion coefficient of unbound motors. |
f(r) |
Radial part of the concentration profile in a tube. |
h |
Height of the slab to which a filament aster is confined. |
jb
|
Local current of bound motors. |
jub
|
Local current of unbound motors. |
|
Spatially averaged current of bound motors in a closed tube. |
λ |
Lattice constant, given by the filament repeat distance. |
L |
Linear extension of the compartment, i.e., length of the tube or radius of the disk. |
L* |
Length of crowded region (traffic jam). |
n |
Coordinate along the filament in the general case, n = x and n = r for uniaxial and radial filament arrangements, respectively. |
N |
Number of motors. |
Nf
|
Number of filaments. |
N |
Normalization constant. |
r |
Radial coordinate in the aster geometry. |
R |
Radius of closed tube. |
t |
Time variable. |
u |
Radial coordinate in the tube geometry. |
vb
|
Velocity of bound motor. |
x |
Spatial coordinate parallel to the filament. |
y, z
|
Spatial coordinates perpendicular to the filament. |
α |
Probability for a forward step of a bound motor per unit time τ. |
β |
Probability for a backward step of a bound motor per unit time τ. |
γ |
Dwell probability of a bound motor per unit time τ. |
ε |
Detachment parameter, for which ε/6 is the detachment probability per nonfilament neighbor site per unit time τ. |
|
Rescaled detachment probability,
|
η |
Exponent of the asymptotic density profiles in asters. |
ξ |
Localization length or decay length of the density profiles. |
πad
|
Sticking probability for a motor hopping to the filament. |
|
Rescaled sticking probability,
|
|
Average motor density (bound and unbound motors). |
ρb
|
Density of motors bound to the filament. |
ρub
|
Density of unbound motors. |
τ |
Basic time unit, defined by τ = ℓ2/Dub. |
τs
|
Step time. |
φ |
Ratio of the number of filament channels to the number of nonfilament channels; uniaxial arrangements: tube cross-section/filament number, asters: radius-dependent effective cross-section/filament number. |
φ0
|
Parameter for the ratio of bound to unbound channels in the case of asters. |