Cell migration is a dynamic phenomenon requiring a physical interactio
n between the internal cell motile machinery and the external substrat
um in which adhesion receptors, such as integrins, serve as the transm
embrane link. To analyze quantitatively this interaction, we apply a m
odified Brownian dynamics algorithm to simulate cytoskeleton-mediated
transport of integrin on the dorsal surfaces of migrating fibroblasts.
Previously, we experimentally demonstrated that integrin is transport
ed in an intermittent fashion, with directed excursions interspersed b
y diffusive periods, preferentially toward the cell edge where the int
egrin is likely used in the formation of nascent adhesions. Integrins
containing mutations in the cytoskeleton-binding region of the cytopla
smic domain display statistically different degrees of directed transp
ort, indicating that this phenomenon is dependent on cytoskeletal asso
ciations. In the present work, we develop a computer algorithm generat
ing simulated integrin transport trajectories, given estimates for the
rate constants defining coupling (k(c)) and uncoupling (k(u)) of inte
grin with cytoskeletal components. Other parameters supplied to the pr
ogram, the diffusion coefficient (D) for integrin in the membrane and
the instantaneous velocity (V-i) of the integrin/cytoskeleton complex,
have been measured independently in our experimental. system. By comp
aring the simulated trajectories with those obtained experimentally, w
e are able to estimate the coupling and uncoupling rate constants for
the interaction of integrin with cytoskeletal elements in vivo. We fin
d that integrin couples with cytoskeletal elements at a rate approxima
tely 10 times slower than its rate of uncoupling (k(c) = 0.3 s(-1), k(
u) = 3 s(-1)). Comparison of these rate constants with an equivalent r
ate constant for diffusion, k(+) = 0.4 s(-1), indicates that the coupl
ing interaction is likely a diffusion-limited process, as is typically
expected for membrane processes. We further show by calculation that
directed transport is necessary for integrin to traverse the length of
an extending lamellipod to its leading edge; diffusion alone is not s
ufficiently fast to supply adhesion receptors to points of new cell/su
bstratum contact.