Impact of viral mutation on suppression of infection by cytotoxic T lymphocytes (bibtex)
by J. Arino, N. Madras, S. Portet, B. Sahai
Abstract:
We develop a deterministic model describing the dynamics of infected cells wearing __MATH0__ epitopes recognizable by __MATH0__ CTL clones, in which mutation can lead to the epitopes becoming unrecognizable by their cognate CTL clone. Some mathematical and computational analyses of the resulting large scale system of __MATH2__ equations are conducted. The model is used to examine the ability of CTL response to suppress infection in the presence of mutations. Several situations in which CTL escape happens are identified and conditions in which infection is controlled are also derived. The influence of the probability of mutation is numerically investigated.
Reference:
Impact of viral mutation on suppression of infection by cytotoxic T lymphocytes (J. Arino, N. Madras, S. Portet, B. Sahai), In Canadian Applied Math Quarterly, volume 21, 2013.
Bibtex Entry:
@Article{ArinoMadrasPortetSahai2013,
  Title                    = {{Impact of viral mutation on suppression of infection by cytotoxic {T} lymphocytes}},
  Author                   = {Arino, J. and Madras, N. and Portet, S. and Sahai, B.},
  Journal                  = {Canadian Applied Math Quarterly},
  Year                     = {2013},
  Number                   = {2},
  Pages                    = {145--181},
  Volume                   = {21},

  Abstract                 = {We develop a deterministic model describing the dynamics of infected cells wearing $n$ epitopes recognizable by $n$ CTL clones, in which mutation can lead to the epitopes becoming unrecognizable by their cognate CTL clone. Some mathematical and computational analyses of the resulting large scale system of $2^n+n$ equations are conducted. The model is used to examine the ability of CTL response to suppress infection in the presence of mutations. Several situations in which CTL escape happens are identified and conditions in which infection is controlled are also derived. The influence of the probability of mutation is numerically investigated.},
  Note2                    = {Published in 2015 with 2013 date [publisher delay]},
  Owner                    = {jarino},
  Timestamp                = {2014.03.10},
  Url                      = {http://server.math.umanitoba.ca/~jarino/papers/ArinoMadrasPortetSahai-CAMQ_accepted.pdf}
}
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