Test for the Presence of Autocorrelation in the Gompertz Model used in the Fitting of the Growth of E. coli Measured using a Real-time Impedimetric Biosensor
DOI:
https://doi.org/10.54987/bstr.v2i2.161Keywords:
modified Gompertz model E. coli, Impedance biosensor, ordinary least squares method, autocorrelationAbstract
Biosensor for measuring bacterial concentrations for use biotechnology and the health sciences
would allow a rapid, robust and sensitive real-time monitoring of bacteria. Kim et al [1] has
developed such a method using impedance spectroscopy, and was able to measure in real-time
the concentration of E. coli at 0.01 MHz frequency using impedance changes. We modeled the
growth kinetics using several nonlinear regression methods and discovered that the modified
Gompertz model is the best model for the growth of the bacterium [2]. Bacterial growth curves
are time-dependent series model and the use of nonlinear regression method relies heavily on the
assumption that the residuals must not show autocorrelation. If this assumption is satisfied than
the test is said to be robust. In this work we perform statistical diagnosis test to test for the
presence of autocorrelation in this model and found out its absence suggesting that the model is
robust enough and adequate.
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