2015/11/25 by Chiara Lelli, Lelli, Chiara, Riccardo Sacco +5
Biochemistry, Genetics and Molecular Biology · Engineering · #3D Printing in Biomedical Research #Cellular Mechanics and Interactions #Elasticity and Material Modeling #FOS: Biological sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Tissues and Organs (q-bio.TO)
paper · pdf · doi:10.48550/arxiv.1512.03711
openalex publication_date 2015/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In Part I of this article we have developed a novel mechanobiological model\nof a Tissue Engineering process that accounts for the mechanisms through which\nan isotropic or anisotropic adherence condition regulates the active functions\nof the cells in the construct. The model expresses mass balance and force\nequilibrium balance for a multi-phase mixture in a 3D computational domain and\nin time dependent conditions. In the present Part II, we study the\nmechanobiological model in a simplified 1D geometrical setting with the purpose\nof highlighting the ability of the formulation to represent the influence of\nforce isotropy and nutrient availability on the growth of the tissue construct.\nIn particular, an example of isotropy estimator is proposed and coded within a\nfixed-point solution map that is used at each discrete time level for system\nlinearization and subsequent finite element approximation of the linearized\nequations. Extensively conducted simulations show that: 1) the spatial and\ntemporal evolution of the cellular populations are in good agrement with the\nlocal growth/production conditions predicted by the mechanobiological\nstress-dependent model; and 2) the isotropy indicator and all model variables\nare strongly influenced by both maximum cell specific growth rate and\nmechanical boundary conditions enforced at the interface between the biomass\nconstruct and the interstitial fluid.\n