Biazar, J.; Tango, M.; Babolian, E.; Islam, R. Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method. (English) Zbl 1048.92013 Appl. Math. Comput. 144, No. 2-3, 433-439 (2003). Summary: Kinetic models for the batch production of lactic acid under submerged fermentation of cheese when using Lactobacillus helveticus were presented. The models account for the transient response for cell growth, substrate utilization and lactic acid production during the fermentation process. These models are solved by the Adomian decomposition method [see G. Adomian, Stochastic systems. (1983; Zbl 0523.60056); Nonlinear stochastic operator equations. (1986; Zbl 0609.60072)] and then evaluated using experimental data and kinetic parameters. Cited in 9 Documents MSC: 92C40 Biochemistry, molecular biology 65L99 Numerical methods for ordinary differential equations Keywords:Adomian decomposition method; Cell growth; Fermentation; Kinetic modeling; Lactose utilization; Lactic acid production; System of differential equations Citations:Zbl 0523.60056; Zbl 0557.35003; Zbl 0609.60072 PDFBibTeX XMLCite \textit{J. Biazar} et al., Appl. Math. Comput. 144, No. 2--3, 433--439 (2003; Zbl 1048.92013) Full Text: DOI References: [1] Tango, M. S.A.; Ghaly, A. E., Kinetic modeling of lactic acid production from submerged fermentation of cheese whey, Trans. ASAE, 42, 6, 1791-1800 (1999) [2] M.S.A. Tango, Bioconversion of Cheese Whey to Lactic Acid in Free and Immobilized Cell Systems, PhD Thesis, Dalhousie University, Halifax, Canada, 2000; M.S.A. Tango, Bioconversion of Cheese Whey to Lactic Acid in Free and Immobilized Cell Systems, PhD Thesis, Dalhousie University, Halifax, Canada, 2000 [3] Adomian, G., Stochastic Systems (1983), Academic press: Academic press NY · Zbl 0504.60067 [4] Adomian, G., Nonlinear Stochastic Operator Equations (1986), Academic press: Academic press NY · Zbl 0614.35013 [5] Adomian, G., Nonlinear Stochastic Systems Theory and Applications (1989), Kluwer: Kluwer Dordrecht · Zbl 0698.35099 [6] Adomian, G.; Rach, R., Generalization of Adomian polynomials to functions of several variables, Comput. Math. Appl., 24, 5/6, 11-24 (1992) · Zbl 0765.34005 [7] Biazar, J.; Babolian, E.; Islam, R., An alternate algorithm for computing Adomian polynomials in special cases, Appl. Math. Comput., 138, 523-529 (2003) · Zbl 1027.65076 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.