### Abstract

Language | English |
---|---|

Pages | 1228-1237 |

Number of pages | 9 |

Journal | Biotechnology Progress |

Volume | 19 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jul 2003 |

### Fingerprint

### Keywords

- organic media
- parameters
- lipase

### Cite this

*Biotechnology Progress*,

*19*(4), 1228-1237. https://doi.org/10.1021/bp020127n

}

*Biotechnology Progress*, vol. 19, no. 4, pp. 1228-1237. https://doi.org/10.1021/bp020127n

**Modeling the kinetics of enzymic reactions in mainly solid reaction mixtures.** / Halling, Peter J.; Wilson, Stephen K.; Jacobs, Ralf; McKee, Sean; Coles, Christopher W.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Modeling the kinetics of enzymic reactions in mainly solid reaction mixtures

AU - Halling, Peter J.

AU - Wilson, Stephen K.

AU - Jacobs, Ralf

AU - McKee, Sean

AU - Coles, Christopher W.

PY - 2003/7

Y1 - 2003/7

N2 - There is currently considerable interest in using mainly solid reaction mixtures for enzymic catalysis. In these reactions starting materials dissolve into, and product materials crystalize out of, a small amount of liquid phase in which the catalytic reaction occurs. An initial mathematical model for mass transfer effects in such systems is constructed using some physically reasonable approximations. The model equations are solved numerically to determine how the reactant concentrations vary with time and position. To evaluate the extent to which mass transfer limits the overall rate of product formation, an effectiveness factor is defined as the ratio of the observed total reaction rate to the total reaction rate in the reaction limited limit. As expected, the value of the effectiveness factor in steady state is strongly dependent on the Thiele modulus. However, it is also observed that the effectiveness factor can vary widely as a result of changes in the other dimensionless groups characterizing the system. For example, there are situations with Thiele modulus equal to unity in which the value of the effectiveness factor varies between approximately 0.1 and 0.8 as the other parameters are varied in physically reasonable ranges. Analytical asymptotic solutions that provide good approximations to the numerically calculated results in various physically important limiting cases are also presented.

AB - There is currently considerable interest in using mainly solid reaction mixtures for enzymic catalysis. In these reactions starting materials dissolve into, and product materials crystalize out of, a small amount of liquid phase in which the catalytic reaction occurs. An initial mathematical model for mass transfer effects in such systems is constructed using some physically reasonable approximations. The model equations are solved numerically to determine how the reactant concentrations vary with time and position. To evaluate the extent to which mass transfer limits the overall rate of product formation, an effectiveness factor is defined as the ratio of the observed total reaction rate to the total reaction rate in the reaction limited limit. As expected, the value of the effectiveness factor in steady state is strongly dependent on the Thiele modulus. However, it is also observed that the effectiveness factor can vary widely as a result of changes in the other dimensionless groups characterizing the system. For example, there are situations with Thiele modulus equal to unity in which the value of the effectiveness factor varies between approximately 0.1 and 0.8 as the other parameters are varied in physically reasonable ranges. Analytical asymptotic solutions that provide good approximations to the numerically calculated results in various physically important limiting cases are also presented.

KW - organic media

KW - parameters

KW - lipase

UR - http://pubs.acs.org/cgi-bin/article.cgi/bipret/2003/19/i04/pdf/bp020127n.pdf

U2 - 10.1021/bp020127n

DO - 10.1021/bp020127n

M3 - Article

VL - 19

SP - 1228

EP - 1237

JO - Biotechnology Progress

T2 - Biotechnology Progress

JF - Biotechnology Progress

SN - 8756-7938

IS - 4

ER -