• CUMULATIVE DAMAGE MODEL FOR LEPTIN RESPONSE TO CARBOHYDRATE

Abstract

Cumulative damage model is applied to test whether the macronutrient content of the meal could influence postprandial leptin response.  A unit suffers two kinds of damage which occurs either by shocks or increases with time. It fails only when the total amount of damage exceeds a failure level K. For the purpose of preventing failure, the damage is checked when each shock occurs and a unit is replaced before failure when the total damage exceeds a threshold level k. The expected cost rate is obtained, and an optimal level k* which minimizes it is derived, when shocks occur in a Poisson process.