SignificanceTissues are made up of cells and an extracellular matrix (ECM), a cross-linked network of stiff biopolymers. Cells actively alter the ECM structure and mechanics by applying contractile forces, which allow them to sense other distant cells and regulate many tissue functions. We study theoretically the decay of cell-induced displacements in fibrous networks, while quantifying the changes in the elastic properties of the cell's local environment. We demonstrate that cell contraction induce an anisotropic elastic state, i.e., unequal principal elastic moduli, in the ECM which dictates the slow decay of displacements. These observations suggest a new mechanical mechanism through which cells can mechanically communicate over long distances, and may provide biomaterials design parameters to guide morphogenesis in tissue engineering.
AbstractThe unique nonlinear mechanics of the fibrous extracellular matrix (ECM) facilitates long-range cell-cell mechanical communications that would be impossible on linear elastic substrates. Past research has described the contribution of two separated effects on the range of force transmission, including ECM elastic non-linearity and fiber alignment. However, the relation between these different effects is unclear, and how they combine to dictate force transmission range is still elusive. Here, we combine discrete fiber simulations with continuum modeling to study the decay of displacements induced by a contractile cell in fibrous networks. We demonstrate that fiber non-linearity and fiber reorientation both contribute to the Page 2 of 32 strain-induced anisotropy of the elastic moduli of the cell's local environment. This elastic anisotropy is a "lumped" parameter that governs the slow decay of the displacements, and it depends on the magnitude of applied strain, either an external tension or an internal contraction as a model of the cell. Furthermore, we show that accounting for artificially-prescribed elastic anisotropy dictates the displacement decay induced by a contracting cell. Our findings unify previous single effects into a mechanical theory that explains force transmission in fibrous networks. This work provides important insights into biological processes that involve the coordinated action of distant cells mediated by the ECM, such that occur in morphogenesis, wound healing, angiogenesis, and cancer metastasis. It may also provide design parameters for biomaterials to control force transmission between cells, as a way to guide morphogenesis in tissue engineering.In addition, we find in Fig. 3C that the data points of 2 / 1 for all types of fibers can be approximately fitted by a master curve if plotted versus the normalized strain, / crit . Here crit is the critical strain, a characteristic parameter of the network, in which 2 / 1 becomes smaller than 0.9, and the strain-induced elastic anisotropy is significant. The normalized strain, / crit , similar to the normalized cell contraction, / crit in cell contraction networks, is another "emergent" dimensionless p...