2015
DOI: 10.1016/j.jtbi.2015.03.034
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A conservation law for virus infection kinetics in vitro

Abstract: Conservation laws are among the most important properties of a physical system, but are not commonplace in biology. We derived a conservation law from the basic model for viral infections which consists in a small set of ordinary differential equations. We challenged the conservation law experimentally for the case of a virus infection in a cell culture. We found that the derived, conserved quantity remained almost constant throughout the infection period, implying that the derived conservation law holds in th… Show more

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Cited by 13 publications
(13 citation statements)
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“…No explicit immune response is considered in this model since accurate information about its role in viral infections is still lacking [44]. Finally, this model assumes exponential distributions for eclipse and infectious transition times, which is known to be biologically unrealistic [26,53], but simplifies the computation and should not affect the qualitative predictions of the model. Our model is similar to those of [27,54] except that they include non-exponential distributions as well as non infectious virus particles in their models.…”
Section: Methods and Model Mathematical Modelmentioning
confidence: 99%
“…No explicit immune response is considered in this model since accurate information about its role in viral infections is still lacking [44]. Finally, this model assumes exponential distributions for eclipse and infectious transition times, which is known to be biologically unrealistic [26,53], but simplifies the computation and should not affect the qualitative predictions of the model. Our model is similar to those of [27,54] except that they include non-exponential distributions as well as non infectious virus particles in their models.…”
Section: Methods and Model Mathematical Modelmentioning
confidence: 99%
“…[45][46][47] Finally, exponential distributions for eclipse and infectious transition times are considered to simplify the computation even though it is known to be biologically unrealistic (a cell is not able to produce virus as soon as it is infected). 48,49…”
mentioning
confidence: 99%
“…Note that c, g, and δ include the removal of virus, and of the uninfected and infected cells, due to the experimental samplings. In our earlier works (Iwami et al, 2012a(Iwami et al, , 2012bFukuhara et al, 2013;Kakizoe et al, 2015), we have shown that the approximating punctual removal as a continuous exponential decay has minimal impact on the model parameters and provides an appropriate fit to the experimental data. In addition, we introduce the parameter ω, describing the infection rate via cell-to-cell contacts (Sourisseau et al, 2007;Sattentau, 2008;Sigal et al, 2011).…”
Section: Resultsmentioning
confidence: 94%