Grecov, Dana Characterization and multiscale modeling of liquid crystalline materials and their biological analogues. (English) Zbl 1187.76708 Acta Univ. Apulensis, Math. Inform. 15, 291-298 (2008). Summary: Nematic liquid crystals are textured, anisotropic, viscoelastic materials. The remarkable rheological properties of viscoelastic materials are governed by the flow-induced evolution of molecular configuration. Analogues to liquid crystal flow processes occur in the supramolecular self-assembly processes of living biological tissues. A good understanding of the relationships between rheological properties and microstructural evolution of liquid crystals can provide insights towards a predictive rheology of complex biomaterials. Silk fibers and other biomaterials have embedded a natural structure that is more compatible with other biomaterials, and hence biomedical materials produced from biological inspired microstructures also display enhanced compatibilities. MSC: 76M20 Finite difference methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:Landau-de Gennes theory; Galerkin finite elements; Runge-Kutta time adaptative method PDFBibTeX XMLCite \textit{D. Grecov}, Acta Univ. Apulensis, Math. Inform. 15, 291--298 (2008; Zbl 1187.76708) Full Text: EuDML