PHYSICAL MATHEMATICS SEMINAR TOPIC: OXIDATION MODEL FOR RADIATION-STERILIZED POLYETHYLENE JOINT REPLACEMENT BEARINGS SPEAKER: THIERRY A. BLANCHET Department of Mechanical Engineering, Aeronautical Engineering, & Mechanics Rensselaer Polytechnic Institute ABSTRACT: Gamma irradiation, the conventional sterilization technique for ultra high molecular weight polyethylene (UHMWPE) bearing surfaces of hip and knee joint replacements, secondarily strips hydrogen atoms from these molecules, leaving reactive free radicals along their carbon backbones. Though crosslinking between radicals may improve mechanical properties, typical post-irradiation handling (air shelf-storage or in vivo service) favors instead scission reactions with oxygen from the surrounding environment. As oxidative aging of radiation-sterilized ultra high molecular weight (UHMWPE) joint replacement components especially diminishes wear resistance, numerical models of this oxidation process have recently been developed. However, these models neglect dose-depth profile, an aspect whose importance has to date only been discussed qualitatively. The quantitative model presented here extends from the presentation of Crank for moving boundaries (fronts) of molecules (oxygen) diffusing through a medium (UHMWPE) containing immobile holes (allyl radicals) with which they react (oxidative scission), modified to account for hole concentration which varies with position and time due to, respectively, radical concentration-depth profile and radical decay (crosslinking). This quantitative model's capabilities are illustrated in two predictions of irradiated UHMWPE aging behavior: in atmospheres of augmented oxygen partial pressure and temperature commonly used to accelerate the process while otherwise attempting to remain simulative; following post-irradiation vacuum storage period (a process intended to consume free radicals through crosslinking alone, but typically performed to an incomplete extent). DATE: TUESDAY, NOVEMBER 28, 2000 TIME: 2:30 PM LOCATION: Building 2, Room 338 Refreshments will be served at 3:30 PM in Room 2-349 Massachusetts Institute of Technology Department of Mathematics Cambridge, MA 02139