9 citations · 18 across the 8 of their papers we have counts for
8 papers
A chemostat model with variable dilution rate due to biofilm growth
Xiaochen Duan, Sergei S. Pilyugin
In many real life applications, a continuous culture bioreactor may cease to function properly due to bioclogging which is typically caused by the microbial overgrowth. This is a p…
Using Restart Sequences to Determine Beneficial First Passage Under Restart
Jason M. Flynn, Sergei S. Pilyugin
First Passage (FP) processes are utilized widely to model phenomena in many areas of mathematical applications, from biology to computer science. Introducing a mechanism to restart…
First Passage with Restart in Discrete Time: with applications to biased random walks on the half-line
Jason M. Flynn, Sergei S. Pilyugin
In recent years, it has been well-established that adding a restart mechanism can alter the firstpassage statistics of a stochastic processes in useful and interesting ways. Though…
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…