Fluctuation correlation models for receptor immobilization

Subdiffusion with particle immobilization process described by a differential equation with Riemann-Liouville-type fractional time derivative

An equation describing subdiffusion with possible immobilization of particles is derived by means of the continuous time random walk model. The equation contains a fractional time derivative of Riemann-Liouville type which is a differential-integral operator with the kernel defined by the Laplace transform; the kernel controls the immobilization process. We propose a method for calculating the inverse Laplace transform providing the kernel in the time domain. In the long time limit the subdiffusion-immobilization process reaches a stationary state in which the probability density of a particle distribution is an exponential function.

Cellular tension encodes local Src-dependent differential β1 and β3 integrin mobility

Integrins are transmembrane receptors that have a pivotal role in mechanotransduction processes by connecting the extracellular matrix to the cytoskeleton. Although it is well established that integrin activation/inhibition cycles are due to highly dynamic interactions, whether integrin mobility depends on local tension and cytoskeletal organization remains surprisingly unclear. Using an original approach combining micropatterning on glass substrates to induce standardized local mechanical constraints within a single cell with temporal image correlation spectroscopy, we measured the mechanosensitive response of integrin mobility at the whole cell level and in adhesion sites under different mechanical constraints. Contrary to β1 integrins, high tension increases β3 integrin residence time in adhesive regions. Chimeric integrins and structure–function studies revealed that the ability of β3 integrins to specifically sense local tensional organization is mostly encoded by its cytoplasmic domain and is regulated by tuning the affinity of its NPXY domains through phosphorylation by Src family kinases.