In a method of producing aqueous solutions of N-bromotaurine (Taurine Bromanine, NBrT) with taurine with latter addition of NaOBr, and emulsions of these solutions with Stable Produced Olive Oil (S.P.O.O.), so to use against hyper-proliferative and abnormally differentiating cells of human and mammalian origin. In addition, due to the hyper-proliferation of keratinocytes in psoriatic skin, the methodology and subsequent use of the aqueous solutions and emulsions derived from this invention, containing NBrT and taurine, and S.P.O.O. against the lesions of psoriasis. With the method of this invention, the solutions derived and applied on cells in vitro beneficially provide maximization of NBrT anti-proliferative properties on abnormally differentiating and hyper-proliferating cells of human and mammalian origin by restoring NBrT anti-proliferative activity in a solution, whilst leaving unaffected the proliferation of normally dividing human fibroblasts.