Investigating the Growth of Bacteria using Double Sigmoid Model with Reparameterization

Masithoh Yessi Rochayani; Dahlia Gladiola Rurina Menufandu; Rahmila Dapa

doi:10.56225/ijgoia.v2i4.239

Authors

Masithoh Yessi Rochayani Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro, 50275 Jawa Tengah, Indonesia
Dahlia Gladiola Rurina Menufandu Department of Statistics, Faculty of Natural Science and Mathematics, Universitas Brawijaya, 65145 Jawa Timur, Indonesia
Rahmila Dapa Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro, 50275 Jawa Tengah, Indonesia

DOI:

https://doi.org/10.56225/ijgoia.v2i4.239

Keywords:

Growth curve, Bacterial growth, Pseudomonas putida, Double Sigmoid Model

Abstract

The growth of an organism can be modeled using a growth curve. However, bacteria's growth pattern differs from other organisms. Bacterial growth is divided into four phases: lag, logarithmic, stationary, and death. The experts re-parameterized the growth curve to match the growth phase of the bacteria. Bacterial growth patterns generally do not show a single sigmoid pattern but form two curves. Therefore, the double sigmoid model is more suitable. This study modeled the growth of the Pseudomonas putida bacteria by observing the optical density of the medium. Model parameters are estimated using the Non-Linear Least Square (NLS) method with the Gauss-Newton algorithm. The modeling results show that the double sigmoid model fits the growth curve of Pseudomonas putida better than the single sigmoid model. The Double Logistic model outperforms all models with the highest adjusted R² and the smallest RMSE, AIC, and BIC values.

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