Cell migration, differentiation, proliferation and apoptosis are the main processes in tissue regeneration. Mesenchymal Stem Cells (MSCs) have the potential to differentiate into many cell phenotypes such as tissue-or organ-specific cells to perform special functions. Experimental observations illustrate that differentiation and proliferation of these cells can be regulated according to internal forces induced within their Extracellular matrix (ECM). The process of how exactly they interpret and transduce these signals is not well understood. Therefore, a previously developed three-dimensional (3D) computational model is here extended and employed to study how force-free substrates (FFS) and force-induced substrate (FIS) control cell differentiation and/or proliferation during the mechanosensing process. Consistent with experimental observations, it is assumed that cell internal deformation (a mechanical signal) in correlation with the cell maturation state directly triggers cell differentiation and/or proliferation. ECM is modeled as Neo-Hookean hyperelastic material assuming that cells are cultured within 3D nonlinear hydrogels. In agreement with wellknown experimental observations, the findings here indicate that within neurogenic (0.1-1 kPa), chondrogenic (20-25 kPa) and osteogenic (30-45 kPa) substrates, MSC differentiation and cell proliferation can be precipitated by inducing the substrate with an internal force. Therefore, cells require a longer time to grow and maturate within force-free substrates than withen force-induced substrates. In the instance of MSC differentiation into a compatible phenotype, the magnitude of the net traction force increases within chondrogenic and osteogenic substrates while it reduces within neurogenic substrates. This is consistent with experimental studies and numerical works recently published by the same authors. However, in all cases the magnitude of the net traction force considerably increases at the instant of cell proliferation because of cell-cell interaction. Consequently, the present model provides new perspectives to delineate the role of force-induced substrates in remotely controlling the cell fate during cell-matrix interaction, which open the door for new tissue regeneration methodologies.