The tissue during the DNA fragmentation assay procedure is supposed to be lysed in 0.5ml lysis buffer (containing 10mM tris-HCl (pH8.0), 1mM EDTA and 0.2% Triton X-100). I am thinking it can be used since both Tween 80 or 20 are nonionic surfactant (detergents) like Triton x-100.