ArticleFractional calculus & applied analysis2020
Fractional-Order Susceptible-Infected Model: Definition and Applications to the Study of COVID-19 Main Protease.
Article in Fractional calculus & applied analysis, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Coefficient identification in a SIS fractional-order modelling of economic losses in the propagation of COVID-19.Journal of computational science · 2023Article
- Modeling nonlocal behavior in epidemics via a reaction-diffusion system incorporating population movement along a network.Computer methods in applied mechanics and engineering · 2022Article
- The world-wide waste web.Nature communications · 2022Article
- A fractional-order mathematical model for COVID-19 outbreak with the effect of symptomatic and asymptomatic transmissions.European physical journal plus · 2022Article
- A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19.Chaos, solitons, and fractals · 2021Article
- A new model of Hopfield network with fractional-order neurons for parameter estimation.Nonlinear dynamics · 2021Article
- COVID-19 and SARS-CoV-2. Modeling the present, looking at the future.Physics reports · 2020Review
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Authors and funding
3 authors.
Funding
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Abstract
We propose a model for the transmission of perturbations across the amino acids of a protein represented as an interaction network. The dynamics consists of a Susceptible-Infected (SI) model based on the Caputo fractional-order derivative. We find an upper bound to the analytical solution of this model which represents the worse-case scenario on the propagation of perturbations across a protein residue network. This upper bound is expressed in terms of Mittag-Leffler functions of the adjacency matrix of the network of inter-amino acids interactions. We then apply this model to the analysis of the propagation of perturbations produced by inhibitors of the main protease of SARS CoV-2. We find that the perturbations produced by strong inhibitors of the protease are propagated far away from the binding site, confirming the long-range nature of intra-protein communication. On the contrary, the weakest inhibitors only transmit their perturbations across a close environment around the binding site. These findings may help to the design of drug candidates against this new coronavirus.
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Registered trials
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