University of Minnesota
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School of Mathematics         The diagram illustrates the local accuracy of the tangent line approximation to a smooth curve, or--otherwise stated--the closeness of the differential of a function to the difference of function values due to a small increment of the independent variable.  
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Yan Xin

An Analysis of pacemaker Wire Leads
Yan Xin

Master of Science in Mathematics (Industrial and Applied emphasis), September 1998


In this report, we analyze the mechanics of a wire rope cable arising in a medical application. Starting from the theory of linearly elastic curved thin wires, we develop a model for the deformation of cables consisting of several wires arranged in a geometric pattern. A computational tool that calculates stresses in the cable is constructed. The tool can be used for design purposes.

Research supported by the Minnesota Center for Industrial Mathematics (MCIM)