TITLE:
Mathematical Model of Cell Growth for Biofuel Production under Synthetic Feedback
AUTHORS:
Ondivillu Mothilal Kirthiga, Lakshmanan Rajendran
KEYWORDS:
Mathematical Modeling; Non-Linear Equations; Biofuel; Feedback Loop; Biosensor
JOURNAL NAME:
Natural Science,
Vol.6 No.5,
March
5,
2014
ABSTRACT: In this paper, mathematical model for cell
growth and biofuel production under synthetic feedback loop is discussed. The
nonlinear differential equations are solved analytically for the maximum
production of biofuel under synthetic feedback. The closed-form of analytical
expressions pertaining to the concentrations of cell density, repressor
proteins, pump expressions, intracellular biofuel and extracellular biofuel are
presented. The constant pump model is compared with feedback loop model
analytically to know the biofuel production. The numerical solution of this
problem is also reported using Scilab/Matlab program. Also, the analytical
results are compared with previous published numerical results and found to be
in good agreement.