The present invention relates to methods of inducing differentiation of mammalian bone marrow stromal cells into neuronal cells by contacting marrow stromal cells with a neuronal differentiation-inducing compounds. Neuronal differentiation-inducing compounds of the invention include anti-oxidants such as, but not limited to, beta-mercaptoethanol, dimethylsulfoxide, butylated hydroxyanisole, butylated hydroxytoluene, ascorbic acid, dimethylfumarate, and n-acetylcysteine. Once induced to differentiate into neuronal cells, the cells can be used for cell therapy, gene therapy, or both, for treatment of diseases, disorders, or conditions of the central nervous system.