2015
DOI: 10.1111/imm.12500
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Mathematical model reveals how regulating the three phases of T‐cell response could counteract immune evasion

Abstract: SummaryT cells are key players in immune action against the invasion of target cells expressing non-self antigens. During an immune response, antigenspecific T cells dynamically sculpt the antigenic distribution of target cells, and target cells concurrently shape the host's repertoire of antigen-specific T cells. The succession of these reciprocal selective sweeps can result in 'chase-and-escape' dynamics and lead to immune evasion. It has been proposed that immune evasion can be countered by immunotherapy st… Show more

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Cited by 19 publications
(18 citation statements)
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“…with u i (t) being a T -periodic solution of the differential equation (49). Lemma 1 ensures that u i (t) is given by (50). Combining the latter asymptotic result for µ i and the asymptotic result (65) yields…”
Section: Evolutionary Dynamics In Periodically Fluctuating Environmentsmentioning
confidence: 79%
“…with u i (t) being a T -periodic solution of the differential equation (49). Lemma 1 ensures that u i (t) is given by (50). Combining the latter asymptotic result for µ i and the asymptotic result (65) yields…”
Section: Evolutionary Dynamics In Periodically Fluctuating Environmentsmentioning
confidence: 79%
“…With assumptions similar to those presented in [2] and [5], we describe the dynamics of the two cell populations through the following system of integro-differential equations:…”
Section: Model and Resultsmentioning
confidence: 99%
“…2) are the most effective, out of those considered here, at pushing the cancer-cell population towards extinction and prevent a possible relapse. This is due to the fact that, the simultaneous delivery of T-cell proliferation boosters and boosters of immune memory, at sufficiently high doses, allow the total density of T cells to attain higher values [5].…”
Section: Numerical Resultsmentioning
confidence: 99%
“…The importance of tumour dormancy controlled by the immune system (i.e. immunological dormancy) has been highlighted by previous experimental and theoretical work (Kuznetsov et al, 1994;Lorenzi et al, 2015;Wu et al, 2018). In particular, immunological dormancy can explain situations where there is an extended period of time before the occurrence of tumour relapse (Aguirre-Ghiso, 2007;Gomis and Gawrzak, 2017;Manjili, 2018;Teng et al, 2008;Wang and Lin, 2013;Yeh and Ramaswamy, 2015).…”
Section: Discussionmentioning
confidence: 99%