Geometry-induced inhomogeneity of distribution of cell adhesion molecules along branching processes

Abstract

There is evidence that inhomogeneity of lateral distribution of cell adhesion molecules (CAM) in the plasma membrane is crucial for cell motility and growth. It is known that the cells move when the cell-substratum adhesiveness is within a certain critical range. We have carried out simulation studies of the factors governing inhomogeneous CAM distribution along uniform and branching cylinder-shaped cell processes on a flat substrate evenly covered with a ligand. Our model included the following mechanisms: intracellular transportation of CAM to an active (growing) part of the cell, installation in the plasma membrane, lateral diffusive redistribution of mobile CAM, formation and dissociation of CAM/ligand complexes, and CAM internalization by endocytosis. Since the rate of growth is two and one order of magnitude slower than the rate of trafficking and lateral diffusion, respectively, we analyzed steady distributions of CAM. We showed that interplay of the mechanisms included in the model may lead to the occurrence of CAM distributions with inhomogeneity, whose range is critical for translocation of an active part of the cell. It was shown that a difference in the diameters of asymmetric sister branches can cause different inhomogeneous distributions of CAM along these branches and thus can define conditions of their growth. Depending on the branching geometry, one or both sister branches may appear within this critical range, and a difference in the diameters may define a difference in the rate of growth and, correspondingly, in the length. This may constitute the basis for self-control of neurite outgrowth.