MULTIGRID SOLUTION OF THE POTENTIAL-FIELD IN MODELING ELECTRICAL NERVE-STIMULATION

In this paper, multilevel techniques are introduced as a fast numerica l method to compute 3-D potential field in nerve stimulation configura tions. It is shown that with these techniques the computing time is re duced significantly compared to conventional methods. Consequently, th ese techniques greatly enhance the possibilities for parameter studies and electrode design. Following a general description of the model of nerve stimulation configurations, the basic principles of multilevel solvers for the numerical solution of partial differential equations a re briefly summarized. Subsequently, some essential elements for succe ssful application are discussed. Finally, results are presented for th e potential field in a nerve bundle induced by tripolar stimulation wi th a cuff electrode surrounding part of the nerve. (C) 1998 Academic P ress.