Multi-objective optimisation of vibration-assisted electrode insertion parameters for DBS using hybrid approach of grey-orthogonal coupled response surface methodology

To minimize brain traumas during deep brain stimulation, multi-objective optimisation of vibration-assisted electrode insertion parameters are investigated using hybrid approach of grey-orthogonal coupled response surface methodology. Based on the LuGre model, mathematical models of friction force under vibration-assisted insertion are established. According to the orthogonal experimental results, the effects of each parameter of insertion performance for vibration-assisted insertion and optimal parameters of a single evaluation index are investigated through range analysis. The optimal parameters under the multi-evaluation indexes and mathematical models for the relationship between the parameters and the evaluation index are determined using grey relational analysis coupled response surface analysis. The results show that the vibration parameter combination optimized by response surface analysis results in excellent insertion performance with a puncture force of 9.656 mN and a friction growth rate of 2.191 mN/mm. The hybrid approach of grey-orthogonal coupled response surface methodology can act as a new methodology for optimizing vibration-assisted insertion parameters.