Resumen de A mathematical model of plasmid-carried antibiotic resistance transmission in two types of cells
Leilei Qu, Xiang Chen
Antibiotic resistance is a significant public health problem. When resistance genes are being carried on plasmids, thespread can be greatly accelerated. In this paper, the transmission of antibiotic resistance in two types of cells is discussed.A mathematical model is established to describe the dynamics of the transmission of plasmids. The effects of differentparameters on the stable solution and sensitivity analysis are studied by numerical simulation. The conclusions show thatthe concentration of antibiotics must reach a certain level to kill the pathogenic bacteria. If the concentration of antibioticsis not high to a certain extent, the treatment becomes ineffective. If the cost of cells carried on plasmids and the rate ofresistance plasmids segregation too high, the drug-resistant cells will gradually die out in the system. The rate of horizontaltransfer of resistance plasmids is directly related to the spread of drug resistance. With the increase in the horizontal transferrate of resistance plasmids, cells in the body gradually turn into cells with antibiotic resistance, which causes substantialdifficulties in the treatment of diseases
