Biomedical Engineering Modeling, S$2024$ Final Prniect Fixamailable in severe knee joint osteoarthritis Background: The only medical correction available in severe knee joint osteoar is total knee replacement $($TKR$)$ by surgery. In this condition, the patient's knee cartilage is typically damaged and there are bone spurs that rub against each other causing pain, reduced mobility, and an overall poor quality of life. Many TKR surgeries are successful, but a significant number of the procedures lead to implant related infections. Antibiotic lavages are ineffective for clearing these infections and so a secondary surgery to remove implants and treating the implant site with antibiotics is currently the most efficacious method. During treatment, temporary plastic im Exactech, an othorpedic company markets Interspace preformed, articulating, partial load$-$bearing knee

structures comprised of gentamicin$-$impregnated PMMA bone cement to be deployed for correcting infected knee implants and to

allow partial patient mobility during healing. If the gentamicin$-$impregnated PMMA bone cement is plastered on the stem of the

tibial component of the implant, develop a model for how the drug will transfer out from the mid$-$stem PMMA bone cement layer

on the tibial component into the bone tissue. Specify the concentration of gentamicin in PMMA used in your model and its

diffusion constant in bone tissue $($literature sources may be helpful$).$ The change in gentamicin concentration with respect to $$into$-$

the$-$bone$$ direction is zero at the bone$/$PMMA plaster interface. At the implant$$s stem$/$PMMA plaster interface, gentamicin

concentration drops to zero. In addition, change in gentamicin concentration with respect to outward distance from the top,

bottom, and sides of the $3$D $$almost$-$flat$$ bone cement domain you choose for your analysis is zero. For your Matlab code, only

model gentamicin transfer as a function of into$-$the$-$bone distance and time. Include graphs to describe drug concentration

changes