In a process for treating an extracorporeal biological composition to inactivate an extracellular or intracellular virus which may be present therein, said process comprising the step of subjecting said biological composition to a virucidally effective amount of artificial irradiation, wherein said artificial irradiation is selected from the group consisting of artificial ultraviolet, gamma-irradiation, x-ray and visible light, wherein the improvement comprises carrying out said step in the presence of (a) a mixture of at least one quencher compound which is effective to quench type I free radical mediated photodynamic reactions and at least one quencher compound which is effective to quench type II reactive forms of oxygen mediated photodynamic reactions or (b) a quencher compound which is effective to quench both type I and type II photodynamic reactions.