AN INVERSE PROBLEM FOR A NONLINEAR ORDINARY DIFFERENTIAL-EQUATION WITH INCOMPLETE INITIAL CONDITIONS

This study develops a method of solving an inverse problem of a nonlin ear ordinary differential equation with incomplete initial conditions. The investigation was originally motivated by the studies in biomedic al research on white blood cell-endothelia cell (WBC-EC) adhesion and its related contact geometry. The WBC-EC interaction depends strongly on WBC deformability and the expression of WBC-EC adhesion molecules. A biomechanical model developed to explain this biological interaction has led us to this mathematical problem. Two algorithms for solving t he equations have been developed.