Stochastic modelling of solvent production by Acetobutylicum P262

Abstract

This work is carried out to model jointly time delay and unknown disturbances of gelatinised sagostarch to solvent production by C. acetobutylicum P262. The proposed model of C. acetobutylicum P262 proliferation is formulated as stochastic delay logistic model. Moreover, Luedeking - Piret equations were used to model the solvent production of acetone and butanol by C. acetobutylicum P262, whose number of living cell,)(t x is subjected to time delay and beyond deterministic behaviour. The str ong solution of the resulting models was simulated numerically via numerical method of Euler - Maruyama(EM). Their respective root mean square errors (RMSE) were calculated by comparing the simulated and experimental data so that the prediction quality of the model can be assessed.