Population dynamics of immune responses to persistent viruses

MA Nowak, CRM Bangham - Science, 1996 - science.org
Mathematical models, which are based on a firm understanding of biological interactions,
can provide nonintuitive insights into the dynamics of host responses to infectious agents …

Modelling viral and immune system dynamics

AS Perelson - Nature reviews immunology, 2002 - nature.com
During the past 6 years, there have been substantial advances in our understanding of
human immunodeficiency virus 1 and other viruses, such as hepatitis B virus and hepatitis C …

[PDF][PDF] Analytical solution for an in-host viral infection model with time-inhomogeneous rates

Y Shang - Acta Phys. Pol. B, 2015 - researchgate.net
Over the last few decades, in-host mathematical modeling has increasingly been used in
attempts to understand the pathogenesis of numerous viruses such as hepatitis B virus …

[图书][B] Virus dynamics: mathematical principles of immunology and virology: mathematical principles of immunology and virology

M Nowak, RM May - 2000 - books.google.com
This groundbreaking book describes the emerging field of theoretical immunology, in
particular the use of mathematical models to describe the spread of infectious diseases …

Mathematical modeling of viral kinetics under immune control during primary HIV-1 infection

D Burg, L Rong, AU Neumann, H Dahari - Journal of Theoretical Biology, 2009 - Elsevier
Primary human immunodeficiency virus (HIV) infection is characterized by an initial
exponential increase of viral load in peripheral blood reaching a peak, followed by a rapid …

Virus dynamics and drug therapy

S Bonhoeffer, RM May, GM Shaw… - Proceedings of the …, 1997 - National Acad Sciences
The recent development of potent antiviral drugs not only has raised hopes for effective
treatment of infections with HIV or the hepatitis B virus, but also has led to important …

Dynamics of macrophage and T cell infection by HIV

D Wodarz, AL Lloyd, VAA Jansen, MA Nowak - Journal of Theoretical …, 1999 - Elsevier
We analyse mathematical models comparing thein vivodynamics of macrophage-and T cell
infection by HIV. Experiments suggest that HIV can only replicate in activated T cells …

Virus dynamics: the effect of target cell limitation and immune responses on virus evolution

RR Regoes, D Wodarz, MA Nowak - Journal of theoretical biology, 1998 - Elsevier
Earlier models of virus evolution during single infections do not include target cell limitation.
Here we extend the basic mathematical framework of these theories and study the effect of …

Models of interactions between HIV and other pathogens

AR McLean, MA Nowak - Journal of Theoretical Biology, 1992 - Elsevier
We investigate possible interactions between HIV and other pathogens that would arise if
HIV replication were enhanced by the activation of T helper cells specific to other pathogens …

Optimizing within-host viral fitness: infected cell lifespan and virion production rate

MA Gilchrist, D Coombs, AS Perelson - Journal of theoretical biology, 2004 - Elsevier
We explore how an infected cell's virion production rate can affect the relative fitness of a
virus within a host. We perform an invasion analysis, based on an age-structured model of …