The invention concerns medical applications and can be used in oncology, as well as in neurosurgery, traumatology, neurology, rehabilitation. The aim of the inventions claimed is the creation of a new method of local exposure on biological tissues and a new tissue-substitute applicator that benefits to both destruction and replacement of tumor tissue by restored biological tissue with no external exposure applied (alternating magnetic field, heating, etc.) The aim set is solved by using porous polytetrafluoroethylene as a cytostatic material. The aim set is also achieved by using porous polytetrafluoroethylene in production of a tissue-substitute applicator for treating or replacing tumor tissues. The aim set for the method of local exposure to biological tissues, including the placement of a tissue-substitute polymeric applicator in direct contact with the biological tissue to be exposed, is solved by using porous polytetrafluoroethylene for the constituent polymeric material.