An age-structured virus model with two routes of infection in heterogeneous environments
Bifurcation Analysis of an Age Structured HIV Infection Model with Both Virus-to-Cell and Cell-to-Cell Transmissions
- MathematicsInt. J. Bifurc. Chaos
Bifurcation analysis indicates that there exist some parameter values such that this HIV infection model has a nontrivial periodic solution which bifurcates from the positive equilibrium.
An Age-Structured Model of HIV Latent Infection with Two Transmission Routes: Analysis and Optimal Control
The necessary condition for minimization of the viral level and the cost of drug treatment was obtained, and numerical simulations of various optimal control strategies were performed and the optimal control problem was formulated and solved.
Analysis of a within-host age-structured model with mutations between two viral strains ✩
Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission
- BiologyJournal of biological dynamics
A multi-strain model that links immunological and epidemiological dynamics across scales is formulated for the dynamics of highly pathogenic flu in poultry that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment.
Immune response in virus model structured by cell infection-age.
- BiologyMathematical biosciences and engineering : MBE
Numerical simulations show that ' early immune recognition' precipitates both enhanced viral control and sustained oscillations via a Hopf bifurcation in the coupled within-host population dynamics of virus and CTL (Cytotoxic T Lymphocyte) immune response.
A note on the global properties of an age-structured viral dynamic model with multiple target cell populations.
- MathematicsMathematical biosciences and engineering : MBE
A viral dynamic model with the age of infection and multiple target cell populations is developed and it is shown that under some scenarios the age-structured model can be reduced to an ordinary differential equation system with or without time delays.
Local and Global Stabilities of a Viral Dynamics Model with Infection-Age and Immune Response
In this paper, we construct an infection-age model to study the interaction between viruses and the immune system within the host. In the model, the mortality rate of infected cells, the rate that…
Dynamics of virus and immune response in multi-epitope network
- BiologyJournal of mathematical biology
The results suggest that immunodominance, i.e. relative strength of immune response to an epitope, is the most important factor determining the persistent network structure of the network of virus and immune response populations.
SHOWING 1-10 OF 41 REFERENCES
Modeling Within-Host Evolution of HIV: Mutation, Competition and Strain Replacement
- BiologyBulletin of mathematical biology
The dynamics of strain replacement in a simple model that includes a convex trade-off between rapid virus reproduction and long-term host cell survival is examined, finding a progression from fast- to moderately-replicating virus strains featuring distinct jumps in the replication rate of the dominant strain over time.
An age-structured model of hiv infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells.
- BiologyMathematical biosciences and engineering : MBE
An age- structured model of HIV-1 infection that allows for variations in the death rate of productively infected T cells and the production rate of viral particles as a function of the length of time a T cell has been infected is developed.
HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time
A new mathematical model was used to analyze a detailed set of human immunodeficiency virus-type 1 (HIV-1) viral load data collected from five infected individuals after the administration of a potent inhibitor of HIV-1 protease, providing not only a kinetic picture ofAIDS pathogenesis, but also theoretical principles to guide the development of treatment strategies.
Optimizing within-host viral fitness: infected cell lifespan and virion production rate.
- BiologyJournal of theoretical biology
Reassessing the Human Immunodeficiency Virus Type 1 Life Cycle through Age-Structured Modeling: Life Span of Infected Cells, Viral Generation Time, and Basic Reproductive Number, R0
- BiologyJournal of Virology
Age-structured models of the viral decay dynamics in which viral production rates and death rates depend on the age of the infected cells are described and it is demonstrated that an exponential increase in viral production with infected-cell age is perfectly consistent with the data.
Competitive exclusion in a vector-host model for the dengue fever
- MedicineJournal of mathematical biology
It is argued that the existence of competitive exclusion in this system is product of the interplay between the host superinfection process and frequency-dependent (vector to host) contact rates.
Viral mutation rates: modelling the roles of within-host viral dynamics and the trade-off between replication fidelity and speed
- BiologyProceedings of the Royal Society B: Biological Sciences
This analysis provides a way to consider how life-history properties combine with biochemical trade-offs to shape mutation rates, and finds that advantageous mutations have only a weak effect on the optimal genomic mutation rate, and there can be two locally optimal mutation rates.
Mathematical modeling of escape of HIV from cytotoxic T lymphocyte responses.
- BiologyJournal of statistical mechanics
It is illustrated that allowing CTL responses to decay over time may improve the fit to experimental data and provides higher estimates of the killing efficacy of HIV-specific CTLs, and proposed a novel method for simultaneously estimating the kill efficacy of multiple CTL populations specific for different epitopes of HIV using stochastic simulations.
Mathematical Analysis of Age-Structured HIV-1 Dynamics with Combination Antiretroviral Therapy
- BiologySIAM J. Appl. Math.
Interestingly, in the age-structured model, a different functional dependence of R onRT, the efficacy of a reverse transcriptase inhibitor, than that found previously in nonage- Structured models is found, which has significant implications in predicting the effects of drug therapy.
GLOBAL ANALYSIS OF AGE-STRUCTURED WITHIN-HOST VIRUS MODEL
A mathematical model of a within-host viral infection with explicit age-since-infection structure for infected cells is presented. A global analysis of the model is conducted. It is shown that when…