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Journal ArticleDOI

Switching Strategies to Mitigate HIV Mutation

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TLDR
Simulation results suggest that model predictive control could outperform the common clinical treatment recommendations and is a step forward to develop further tools for helping the practitioners to find the optimal treatment schedule.
Abstract
HIV mutates rapidly and may develop resistance to specific drug therapies. There is no general agreement on how to optimally schedule the available treatments for mitigating the effects of mutations. With a switched positive linear system, we examined different control strategies applied to a higher order nonlinear mutation model. Simulation results suggest that model predictive control could outperform the common clinical treatment recommendations. This brief is a step forward to develop further tools for helping the practitioners to find the optimal treatment schedule.

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Journal ArticleDOI

In-host Mathematical Modelling of COVID-19 in Humans.

TL;DR: A quantitative comprehension of SARS-CoV-2 dynamics and the estimation of standard parameters of viral infections is the key contribution of this pioneering work.
Book

Positive Markov Jump Linear Systems

TL;DR: The paper collects some existing results together with original developments on the stability analysis of PMJLS and the study of their input-output properties and discusses several problems, including stability, performance analysis, stabilization via switching control, and optimization.
Journal ArticleDOI

Optimal control of SIR epidemic model with state dependent switching cost index

TL;DR: An optimal vaccination strategy is proposed by introducing a cost index that weights differently the control depending on the severity of the disease, showing a more efficient resource allocation in the proposed approach.
Posted ContentDOI

In-host Modelling of COVID-19 in Humans

TL;DR: In this paper, several mathematical models are proposed to represent SARS-CoV-2 dynamics in infected patients, considering different starting times of infection, parameters sets that represent infectivity of SARS CoV2 are computed and compared with other viral infections that can also cause pandemics.
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Hierarchical effects of pro-inflammatory cytokines on the post-influenza susceptibility to pneumococcal coinfection.

TL;DR: In this paper, mathematical modelling based on murine experimental data dissects IFN-γ as a cytokine candidate responsible for impaired bacterial clearance, thereby promoting bacterial growth and systemic dissemination during acute IAV infection.
References
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Journal ArticleDOI

Model predictive control: past, present and future

TL;DR: In this article, a theoretical basis for model predictive control (MPC) has started to emerge and many practical problems like control objective prioritization and symptom-aided diagnosis can be integrated into the MPC framework by expanding the problem formulation to include integer variables yielding a mixed-integer quadratic or linear program.
Journal ArticleDOI

Plasma Viral Load and CD4+ Lymphocytes as Prognostic Markers of HIV-1 Infection

TL;DR: This study compared the prognostic value of plasma viral load with that of clinical, serologic, and cellular markers in a large cohort of HIV-infected men and incorporated the two most predictive markers-plasma viral load and CD4+ lymphocyte count-into a regression tree that is useful for assessing the prognosis of individual patients.
Journal ArticleDOI

Mathematical Analysis of HIV-1 Dynamics in Vivo

TL;DR: It is shown how dynamical modeling and parameter estimation techniques have uncovered important features of HIV pathogenesis and impacted the way in which AIDS patients are treated with potent antiretroviral drugs.
Journal ArticleDOI

Ordered accumulation of mutations in HIV protease confers resistance to ritonavir.

TL;DR: Analysis of the HIV protease gene from the plasma of HIV–infected patients revealed substitutions at nine different codons selected in response to monotherapy with the protease inhibitors ritonavir, suggesting that dual protease inhibitor therapy might increase the duration of viral suppression.
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