A bang-bang optimal control for a nonlinear system modeling the Gate Control Theory of Pain
Gregorio Diaz, Jesus Ildefonso Diaz
TL;DR
This paper develops a bang-bang optimal control approach for a nonlinear system modeling the Gate Control Theory of Pain, aiming to optimize pain modulation strategies based on a mathematical model of neural potentials.
Contribution
It introduces a novel bang-bang control method applied to a nonlinear differential system representing pain modulation mechanisms.
Findings
Effective control strategies for pain management modeled
Mathematical validation of bang-bang control in neural systems
Potential for improved pain therapy protocols
Abstract
We consider a nonlinear system of coupled ordinary differential equations (representing the excitatory, inhibitory, and T-cell potentials) based on the Gate Control Theory of Pain, initially proposed by R. Melzack and P.D. Wall in 1965, and later mathematically modeled by N.F. Britton and S.M. Skevington in 1988.
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Taxonomy
TopicsAdvanced Control Systems Optimization · Gas Dynamics and Kinetic Theory