Willard S. Keeran, Patrick De Leenheer, Sergei S. Pilyugin
(Communicated by) Abstract. We consider a mathematical model that describes the competition of three species for a single nutrient in a chemostat in which the dilution rate is assumed to be...
How Does Cross-Reactive Stimulation Affect the Longevity of CD8þ T Cell Memory? (2009)
Vitaly V. Ganusov, Sergei S. Pilyugin, Rafi Ahmed, Rustom Antia
Immunological memory—the ability to ‘‘remember’ ’ previously encountered pathogens and respond faster upon reexposure is a central feature of the immune response in vertebrates. The...
Divergence criterion for generic planar systems (2009)
Sergei S. Pilyugin, Paul Waltman
Abstract. The divergence criterion has been shown to be helpful in distinguishing between suband supercritical Hopf bifurcations, but its applicability is limited to systems whose divergence is sign...
Week 9-11: Nonlinear deterministic models. ∗ 1 Introductory notes (2009)
In constantly evolving systems, such as growing populations of organisms, determinism is understood as the property of the current state of the system to uniquely predict all future states of the...
Multistrain virus dynamics with mutations: a global analysis (2008)
De Leenheer, Patrick, Pilyugin, Sergei S.
We consider within-host virus models with n ≥ 2 strains and allow mutation between the strains. If there is no mutation, a Lyapunov function establishes global stability of the steady state...
Immune response to a malaria infection: properties of a mathematical model (2007)
De Leenheer, Patrick, Pilyugin, Sergei S.
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 accounts for the...
Multi-strain virus dynamics with mutations: A global analysis (2007)
De Leenheer, Patrick, Pilyugin, Sergei S.
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 the steady state...
Patrick De, Sergei S. Pilyugin
We consider within-host virus models with n � 2 strains and allow mutation between the strains. If there is no mutation, a Lyapunov function establishes global stability of the steady state...
Bacterial gene regulation in diauxic and nondiauxic growth (2006)
Narang, Atul, Pilyugin, Sergei S.
When bacteria are grown on a mixture of two growth-limiting substrates, they exhibit a rich spectrum of substrate consumption patterns including diauxic growth, simultaneous consumption, and bistable...
Correction: How Does Cross-Reactive Stimulation Affect the Longevity of CD8+ T Cell Memory? (2006)
Vitaly V. Ganusov, Sergei S. Pilyugin, Rafi Ahmed, Rustom Antia
How Does Cross-Reactive Stimulation Affect the Longevity of CD8+ T Cell Memory? (2006)
Vitaly V. Ganusov, Sergei S. Pilyugin, Rafi Ahmed, Rustom Antia
Immunological memory—the ability to “remember” previously encountered pathogens and respond faster upon re-exposure is a central feature of the immune response in vertebrates. The...
Narang, Atul, Pilyugin, Sergei S.
The simultaneous growth of multiple microbial species is a problem of fundamental ecological interest. In media containing more than one growth-limiting substrate, multiple species can coexist. The...
Divergence Criterion for Generic Planar Systems (0000)
Flow and transport phenomena occurring within serpentine microchannels are analyzed for both two- and three-dimensional curvilinear configurations The divergence criterion has been...
Antia, Rustom, Pilyugin, Sergei S., Ahmed, Rafi
There has been much debate on the contribution of processes such as the persistence of antigens, cross-reactive stimulation, homeostasis, competition between different lineages of lymphocytes, and...
How Does Cross-Reactive Stimulation Affect the Longevity of CD8+ T Cell Memory?
Ganusov, Vitaly V, Pilyugin, Sergei S, Ahmed, Rafi, Antia, Rustom
Immunological memory—the ability to “remember” previously encountered pathogens and respond faster upon re-exposure is a central feature of the immune response in vertebrates. The...
Correction: How Does Cross-Reactive Stimulation Affect the Longevity of CD8+ T Cell Memory?
Ganusov, Vitaly V, Pilyugin, Sergei S, Ahmed, Rafi, Antia, Rustom
Antia, Rustom, Pilyugin, Sergei S., Ahmed, Rafi
There has been much debate on the contribution of processes such as the persistence of antigens, cross-reactive stimulation, homeostasis, competition between different lineages of lymphocytes, and...
How Does Cross-Reactive Stimulation Affect the Longevity of CD8+ T Cell Memory?
Ganusov, Vitaly V, Pilyugin, Sergei S, Ahmed, Rafi, Antia, Rustom
Immunological memory—the ability to “remember” previously encountered pathogens and respond faster upon re-exposure is a central feature of the immune response in vertebrates. The...
Correction: How Does Cross-Reactive Stimulation Affect the Longevity of CD8+ T Cell Memory?
Ganusov, Vitaly V, Pilyugin, Sergei S, Ahmed, Rafi, Antia, Rustom
Divergence Criterion for Generic Planar Systems
Flow and transport phenomena occurring within serpentine microchannels are analyzed for both two- and three-dimensional curvilinear configurations The divergence criterion has...