Unfortunately, biomaterials science is not yet at the state where we can assemble a handbook of design data about the relationships between surface structures and biological reactions. We do not yet understand the controlling variables of the biology or the materials science sufficiently well to generalize our observations. What this chapter does is suggest that such relationships probably exist, and point out that there are powerful mathematical methods that have the potential to help generalize data into correlations and trends useful in the design of biomaterials and medical devices.

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