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. 2005 May;88(5):3118–3132. doi: 10.1529/biophysj.104.056127
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.
Inline graphic 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.
Inline graphic Rescaled detachment probability, Inline graphic
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.
Inline graphic Rescaled sticking probability, Inline graphic
Inline graphic 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.