Gunawan Agus Yodi, Sidarto Kuntjoro Adjie
Industrial & Financial Mathematics Research Group, Department of Mathematics, Institut Teknologi Bandung, Jl. Ganesa 10 Bandung 40132, Indonesia; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Hasanuddin University, Jl. Perintis Kemerdekaan Km. 10 Makassar 90245, Indonesia.
Industrial & Financial Mathematics Research Group, Department of Mathematics, Institut Teknologi Bandung, Jl. Ganesa 10 Bandung 40132, Indonesia.
Math Biosci. 2017 Jul;289:40-50. doi: 10.1016/j.mbs.2017.04.003. Epub 2017 Apr 18.
An unstructured model for the growth of yeast cell on glucose due to growth inhibitions by substrate, products, and cell density is discussed. The proposed model describes the dynamical behavior of fermentation system that shows multiple steady states for a certain regime of operating parameters such as inlet glucose and dilution rate. Two types of steady state solutions are found, namely washout and non-washout solutions. Furthermore, different numerical impositions to the two parameters put in evidence three results regarding non-washout solution: a unique locally stable non-washout solution, a unique locally stable non-washout solution towards which other nearby solutions exhibit damped oscillations, and multiple non-washout solutions where one is locally stable while the other is unstable. It is also found an optimal inlet glucose which produces the highest cell and ethanol concentration.
