Mathematical model for silver nanoparticles Bacteria Growth Inhibition

In recent studies there has been found that metallic nanoparticles have some great antimicrobial effects, especially the silver nanoparticles over E. coli. The goal of this study is to develop an accurate mathematical model to predict the bacterial growth inhibition of E. coli in presence of silver nanoparticles. An experimental group was created that consist of a broth of E. coli in presence of silver nanoparticles and, also control group of E. coli broth without the silver nanoparticles. The Optical density (OD) values of the two groups were measured every 15 minutes as an estimation of the bacterial growth. The collected data was used to compare the experimental group versus the control group and it was used to create a logistic regression to estimate the bacterial growth rate. As a result the mathematical model can predict the bacterial behavior and the rate of bacterial growth inhibition of E. coli in the presence of silver nanoparticles.