6 citations · 6 across the 4 of their papers we have counts for
4 papers
The diffusive influx and carrier efflux have a strong effect on the bistability of the lac operon in Escherichia coli
J. T. Noel, S. S. Pilyugin, Atul Narang
In the presence of gratuitous inducers, the lac operon of Escherichia coli exhibits bistability. Most models in the literature assume that the inducer enters the cell via the carri…
Multi-strain virus dynamics with mutations: A global analysis
Patrick De Leenheer, Sergei S. Pilyugin
We consider within-host virus models with more than one strain and allow mutation between the strains. If there is no mutation, a Lyapunov function establishes global stability of…
Immune response to a malaria infection: properties of a mathematical model
Patrick De Leenheer, Sergei S. Pilyugin
We establish some properties of a within host mathematical model of malaria proposed by Recker et al which includes the role of the immune system during the infection. The model ac…
Bistability of the lac operon during growth of Escherichia coli on lactose and lactose + glucose
A. Narang S. S. Pilyugin
The lac operon of Escherichia coli exhibits bistability. Early studies showed that bistability occurs during growth on TMG/succinate and lactose + glucose, but not during growth on…