Methods accelerate healing of a wound by applying a multilayer bandage to the wound. The multilayer bandage has a spun-bonded webbing comprising at least one partially or completely hydrolytically condensed silicon compound and a water-impervious or semi-permeable first membrane having at least one water-insoluble polymer. The webbing has a biologically degradable or biologically resorbable structure and is brought into direct contact with the wound by placing the webbing in or on the wound.
