Technology now makes available Continuous Glucose Monitors, able to record glycemia for patients at risk in an essentially continuous way over many days or weeks. This single-variable, somewhat erratic signal carries information on the compensation state of the subject wearing the sensor, and might allow the assessment of the efficacy of the lifestyle or therapeutic regimen. However, in order to analyse this signal, advanced mathematical modelling techniques appear necessary, possibly including fractional stochastic differential equations.
This work is exploring largely unknown topics, is leading edge and offers different interesting sides: numerical, analytical, statistical, physiological.