Finite element modeling of the cement-bone interface beneath the tibial tray of a total knee arthroplasty: Study of the stress shielding effect (modellazione agli elementi finiti dell'interfaccia cemento-osso sotto il piatto tibiale di protesi totale di ginocchio: Analisi dello stress shielding)

The goal of this thesis was the study of the cement-bone interface in the tibial component of a cemented total knee prosthesis. One of the things you can see in specimens after in vivo service is that resorption of bone occurs in the interdigitated region between bone and cement. A stress shielding effect was investigated as a cause to explain bone resorption. Stress shielding occurs when bone is loaded less than physiological and therefore it starts remodeling according to the new loading conditions. µCT images were used to obtain 3D models of the bone and cement structure and a Finite Element Analysis was used to simulate different kind of loads. Resorption was also simulated by performing erosion operations in the interdigitated bone region. Finally, 4 models were simulated: bone (trabecular), bone with cement, and two models of bone with cement after progressive erosions of the bone. Compression, tension and shear test were simulated for each model in displacement-control until 2% of strain. The results show how the principal strain and Von Mises stress decrease after adding the cement on the structure and after the erosion operations. These results show that a stress shielding effect does occur and rises after resorption starts.

The behaviour of osteocyte dendritic processes in bone under cyclic load (il comportamento dei processi dendritici degli osteociti nel tessuto osseo sottoposti a carico ciclico)

Bone is continually being removed and replaced through the actions of basic multicellular units (BMU). This constant upkeep is necessary to remove microdamage formed naturally due to fatigue and thus maintain the integrity of the bone. The repair process in bone is targeted, meaning that a BMU travels directly to the site of damage and repairs it. It is still unclear how targeted remodelling is stimulated and directed but it is highly likely that osteocytes play a role. A number of theories have been advanced to explain the microcrack osteocyte interaction but no complete mechanism has been demonstrated. Osteocytes are connected to each other by dendritic processes. The “scissors model" proposed that the rupture of these processes where they cross microcracks signals the degree of damage and the urgency of the necessary repair. In its original form it was proposed that under applied compressive loading, microcrack faces will be pressed together and undergo relative shear movement. If this movement is greater than the width of an osteocyte process, then the process will be cut in a “scissors like" motion, releasing RANKL, a cytokine known to be essential in the formation of osteoclasts from pre-osteoclasts. The main aim of this thesis was to investigate this theoretical model with a specific focus on microscopy and finite element modelling. Previous studies had proved that cyclic stress was necessary for osteocyte process rupture to occur. This was a divergence from the original “scissors model" which had proposed that the cutting of cell material occurred in one single action. The present thesis is the first study to show fatigue failure in cellular processes spanning naturally occurring cracks and it's the first study to estimate the cyclic strain range and relate it to the number of cycles to failure, for any type of cell. Rupture due to shear movement was ruled out as microcrack closing never occurred, as a result of plastic deformation of the bone. Fatigue failure was found to occur due to cyclic tensile stress in the locality of the damage. The strain range necessary for osteocyte process rupture was quantified. It was found that the lower the process strain range the greater the number of cycles to cell process failure. FEM modelling allowed to predict stress in the vicinity of an osteocyte process and to analyse its interaction with the bone surrounding it: simulations revealed evident creep effects in bone during cyclic loading. This thesis confirms and dismisses aspects of the “scissors model". The observations support the model as a viable mechanism of microcrack detection by the osteocyte network, albeit in a slightly modified form where cyclic loading is necessary and the method of rupture is fatigue failure due to cyclic tensile motion. An in depth study was performed focusing on microscopy analysis of naturally occurring cracks in bone and FEM simulation analysis of an osteocyte process spanning a microcrack in bone under cyclic load.

Synthesis and characterization of hydroxyapatite modified with (9r)-9-hydroxystearic acid

(9R)-9-hydroxystearic acid (9R-HSA) has been proven to have antitumoral activity because it is shown to inhibit histone deacetylase 1, an enzyme which activates DNA replication, and the (R)-enantiomer has been shown to be more active than the (S)-enantiomer both in vitro and by molecular docking. Hydroxyapatite is the main mineral component of bone and teeth and has been used for over 20 years in prostheses and their coating because it is biocompatible and bioactive. The goal of incorporating 9R-HSA into hydroxyapatite is to have a material that combines the bioactivity of HA with the antitumoral properties of 9R-HSA. In this work, 9R-HSA and its potassium salt were synthesized and the latter was also incorporated into hydroxyapatite. The content of (R)-9-hydroxystearate ion incorporated into the apatitic structure was shown to be a function of its concentration in solution and can reach values higher than 8.5%. (9R)-9-hydroxystearic acid modified hydroxyapatite was extensively characterized to determine the effect of the incorporation of the organic molecule. This incorporation does not significantly alter the unit cell but reduces the size of both the crystals as well as the coherent domains, mainly along the a-axis of hydroxyapatite. This is believed to be due to the coordination of the negatively charged carboxylate group to the calcium ions which are more exposed on the (100) face of the crystal, therefore limiting the growth mainly in this direction. Further analyses showed that the material becomes hydrophobic and more negatively charged with the addition of 9R-HSA but both of these properties reach a plateau at less than 5% wt of 9R-HSA.