A hybrid stochastic/deterministic model of intracellular HIV infection dynamics and estimation of viral production parameters

Author(s):  
Samira Khalili ◽  
Antonios Armaou
2012 ◽  
Vol 33 (5) ◽  
pp. 841-849 ◽  
Author(s):  
Jiabin Wang ◽  
Hua Liang ◽  
Rong Chen

2021 ◽  
Author(s):  
Louise Dyson ◽  
Edward M Hill ◽  
Sam Moore ◽  
Jacob Curran-Sebastian ◽  
Michael J Tildesley ◽  
...  

Ongoing infection with, and associated viral reproduction of, SARS-CoV-2 provides opportunities for the virus to acquire advantageous mutations, which may alter viral transmissibility and disease severity, and allow escape from natural or vaccine-derived immunity. The number of countries reporting Variants of Concern (VOCs) with such mutations continues to rise. Here, we investigate two scenarios for third waves of the COVID pandemic: one driven by increased transmissibility, and another driven by immune escape. We do this using three mathematical models: a parsimonious susceptible-latent-infectious-recovered (SEIR) deterministic model with homogeneous mixing, an age-structured SARS-CoV-2 transmission model and a stochastic importation model. We calibrated our models to the situation in England in May 2021, although the insights will generalise to other contexts. We therefore accurately captured infection dynamics and vaccination rates, and also used these to explore the potential impact of a putative new VOC-targeted vaccine. Epidemiological trajectories for putative VOCs are wide-ranging and heavily dependent on their transmissibility, immune escape capability, and the time at which a postulated VOC-targeted vaccine may be introduced. We demonstrate that a VOC with either a substantial transmission advantage over resident variants, or the ability to evade vaccine-derived and prior immunity, is expected to generate a wave of infections and hospitalisations comparable to those seen in the winter 2020-21 wave. Moreover, a variant that is less transmissible, but shows partial immune-escape could provoke a wave of infection that would not be revealed until control measures are further relaxed.


Viruses ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1735
Author(s):  
Dmitry Grebennikov ◽  
Ekaterina Kholodareva ◽  
Igor Sazonov ◽  
Antonina Karsonova ◽  
Andreas Meyerhans ◽  
...  

SARS-CoV-2 infection represents a global threat to human health. Various approaches were employed to reveal the pathogenetic mechanisms of COVID-19. Mathematical and computational modelling is a powerful tool to describe and analyze the infection dynamics in relation to a plethora of processes contributing to the observed disease phenotypes. In our study here, we formulate and calibrate a deterministic model of the SARS-CoV-2 life cycle. It provides a kinetic description of the major replication stages of SARS-CoV-2. Sensitivity analysis of the net viral progeny with respect to model parameters enables the identification of the life cycle stages that have the strongest impact on viral replication. These three most influential parameters are (i) degradation rate of positive sense vRNAs in cytoplasm (negative effect), (ii) threshold number of non-structural proteins enhancing vRNA transcription (negative effect), and (iii) translation rate of non-structural proteins (positive effect). The results of our analysis could be used for guiding the search for antiviral drug targets to combat SARS-CoV-2 infection.


2018 ◽  
Vol 67 (2) ◽  
pp. 129-147
Author(s):  
Deepmala Kamboj ◽  
M. D. Sharma

2006 ◽  
Vol 238 (1) ◽  
pp. 60-77 ◽  
Author(s):  
Dorothee von Laer ◽  
Susanne Hasselmann ◽  
Klaus Hasselmann

2007 ◽  
Vol 34 (4) ◽  
pp. 1225-1238 ◽  
Author(s):  
Mehdi Dehghan ◽  
Mostafa Nasri ◽  
Mohammad Reza Razvan

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