Abstract
A stochastic model to investigate the microscopic processes which trigger the sensation of pain is considered. The model, presented in Di Patti and Fanelli [Di Patti F, Fanelli D. Can a microscopic stochastic model explain the emergence of pain cycles in patients? J Stat Mech 2009. doi:10.1088/1742-5468/2009/01/P01004], accounts for the action of analgesic drug and introduces an effect of competition with the inactive species populating the bloodstream. Regular oscillations in the amount of bound receptors are detected, following a resonant amplification of the stochastic component intrinsic to the system. The condition for such oscillations to occur are here studied, resorting to combined numerical and analytical techniques. Extended and connected patches of the admissible parameters space are detected which do correspond to the oscillatory behaviors. These findings are discussed with reference to the existing literature on patients’ response to the analgesic treatment.
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