Submitted to: Book Chapter
Publication Type: Book / Chapter
Publication Acceptance Date: 9/6/2006
Publication Date: 3/1/2007
Citation: Klasson, K.T. 2007. Calculation of rates for enzyme and microbial kinetics via a spline technique. In: Hou, C.T., Shaw, J., editors. Biocatalysis and Biotechnology for Functional Foods and Industrial Products. Boca Raton, Fl: CRC Press. p. 495-504. Interpretive Summary: During research of enzyme reaction rates, raw material use rates, product formation rates it is sometime necessary to calculate these rates with a method that can be duplicated by others. In this paper, several methods that have been written about in the past are tested. A spreadsheet was developed to handle the complicated equations. The result show that a smooth curve was the best method, even though it was difficult to program in the spreadsheet.
Technical Abstract: In biocatalysis research, determination of enzyme kinetics, microbial growth rates, substrate utilization rates, and product accumulation rates sometime require derivatives to be calculated with a method that can be duplicated and yields consistent results. In this paper, several methods that have been suggested in the literature are discussed and the result is presented graphically. A spreadsheet methodology was developed to handle the complicated equations. The results show that a cubic spline method proved more versatile in its use, even though the spreadsheet programming was challenging. The methods discussed were tested with published literature data for cell growth, and a preferred technique was developed based on smoothing the data and using this smooth data for rate calculations.