"Modeling Hypothermia and Hyperthermia with an Enhanced Bioheat Equation" by Tyler Fara from Oregon State University

and

"A Discrete Curvature Approach to the Drill String Bending Problem" by Arthur Mills from  Oregon State University

and 

in STAG 113 

Link  to AMC seminar. 

Abstract of talk by Arthur Mills

In the drilling of a well, the drill string may come into contact with the well bore. The curvature of the well bore determines where these contact points arise. As the drill bit turns, potential contact points are created along the wall of the well. These candidates then become realized as contact points once the bit passes threshold distances related to the surface features of these points. Beyond a certain distance these contact points become permanent in the sense that the drill string will remain in contact with these points for the entirety of the drilling operation. We will use standard techniques from the differential geometry of curves and surfaces to determine these points of contact and compute them in a MATLAB implementation.