Unicompartmental Arthroplasty with the Oxford Knee. Buy the book here.
This chapter is available from Goodfellow Publishers as a PDF.
Unicompartmental Arthroplasty with the Oxford Knee. Buy the book here.
Introduction
Mathematical models make it possible to calculate the values of quantities which are difficult or impossible to measure and provide insights which are not obtained from experiment alone. They are a necessary adjunct to the experimental method, but are not a common feature of biological or clinical research. A model is based on a series of assumptions or hypotheses about the way a physical system works. It is validated by comparing its predictions with independent experimental measurement. Reasonable validation then gives confidence in the assumptions on which the model is based and in the predictions of quantities which cannot be measured. The purpose in presenting our models here is to explain the differences between unloaded and loaded motion described in Chapter 3.
Many mathematical models of the natural knee (Crowninshield et al., 1976; Andriacchi et al., 1983; Blankevoort & Huiskes, 1996) and of knee replacement have been proposed (Sathasivam & Walker, 1994; Sathasivam & Walker, 1997; Sathasivam & Walker, 1998). They have usually modelled the movement of the joint under load. We have found it easier to model the mobility of the knee in the absence of load, then the stability of the knee under load but in the absence of movement, and then to combine both to study activity, i.e. movement under load.
Nine animations of the models can be found here https://www.oxfordpartialknee.net, and are individually linked at appropriate points in the following pages.