Non-estrogen-dependent hyperproliferation of cells in animals or humans can be prevented or treated by means of a pharmaceutical or nutritional composition containing a combination of a) two or more inhibitors of the G1/S phase of the cell cycle; and b) two or more inhibitors of the G2/M phase of the cell cycle; and c) two or more inhibitors of protein tyrosine kinase activity. Especially, component a) comprises two or more compounds selected from flavanolignans, carotenoids and isoflavone; component b) comprises two or more compounds selected from flavanolignans, hydroxylated stilbenes, isoflavones and apigenin; and component c) comprises two or more compounds selected from flavanolignans and isoflavones.