Asymmetry of tensile vs. compressive elasticity and permeability contributes to the regulation of exchanges in collagen gels

The Starling principle describes exchanges in tissues based on the balance of hydrostatic and osmotic flows. This balance neglects the coupling between mechanics and hydrodynamics, a questionable assumption in strained elastic tissues due to intravascular pressure. Here, we measure the elasticity and permeability of collagen gels under tensile and compressive stress via the comparison of the temporal evolution of pressure in an air cavity sealed at the outlet of a collagen slab with an analytical kinetic model. We observe a drop in the permeability and enhanced strain-stiffening of native collagen gels under compression, both effects being essentially lost after chemical cross-linking. Further, we prove that this asymmetric response accounts for the accumulation of compressive stress upon sinusoidal fluid injection, which modulates the material's permeability. Our results thus show that the properties of collagen gels regulate molecular exchanges and could help understand drug transport in tissues.