New thrombolytic protein molecules such as recombinant staphylokinase or streptokinase, urokinase, tissue plasminogen activator and the like, and suitable variants thereof, for targeting to brain tissue or any other tissue by either fusing to, or by synthesizing the candidate thrombolytic molecule(s) with a protein sequence comprising a strong amphipathic alpha helix containing protein transduction domain. Thrombolytic protein molecule(s) so engineered with the protein transduction domain is useful for enhanced uptake of such protein thrombolytic molecule(s) across the cell membranes and tissues including the blood brain barrier and find their use in the treatment of vascular thrombosis including cerebrovascular disorders caused by cerebral thrombosis or cerebral haemorrhage when used a as a therapeutic. The design and processes for cloning, expression, purification and protein transduction of such proteins across cell membranes.