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Seasonally Forced SIR Systems Applied to Respiratory Infectious Diseases, Bifurcations, and Chaos 

Stollenwerk, N.Autoridad BCAM; Spaziani, S.; Mar, J.; Knopoff, D.A.Autoridad BCAM; Cusimano, N.Autoridad BCAM; Anam, V.Autoridad BCAM; Aguiar, M.Autoridad BCAM; Eguiguren, I.Autoridad BCAM; Srivastav, A. K. (2022-03-03)
We investigate models to describe respiratory diseases with fast mutating virus pathogens such that after some years the aquired resistance is lost and hosts can be infected with new variants of the pathogen. Such models ...
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Spatially Extended SHAR Epidemiological Framework of Infectious Disease Transmission 

Knopoff, D.A.Autoridad BCAM; Cusimano, N.Autoridad BCAM; Stollenwerk, N.Autoridad BCAM; Aguiar, M.Autoridad BCAM (2022-02-13)
Mathematical models play an important role in epidemiology. The inclusion of a spatial component in epidemiological models is especially important to understand and address many relevant ecological and public health ...
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Critical fluctuations in epidemic models explain COVID‑19 post‑lockdown dynamics 

Aguiar, M.Autoridad BCAM; BidaurrazagaVan‑Dierdonc, J.; Mar, J.; Cusimano, N.Autoridad BCAM; Knopoff, D.A.Autoridad BCAM; Anam, V.Autoridad BCAM; Stollenwerk, N.Autoridad BCAM (2021-07-06)
As the COVID-19 pandemic progressed, research on mathematical modeling became imperative and very influential to understand the epidemiological dynamics of disease spreading. The momentary reproduction ratio r(t) of an ...
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A space-fractional bidomain framework for cardiac electrophysiology: 1D alternans dynamics 

Cusimano, N.Autoridad BCAM; Gerardo-Giorda, L.; Gizzi, A. (2021)
Cardiac electrophysiology modeling deals with a complex network of excitable cells forming an intricate syncytium: the heart. The electrical activity of the heart shows recurrent spatial patterns of activation, known as ...
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Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: A quantitative study 

Cusimano, N.Autoridad BCAM; Gizzi, A.; Fenton, F.H.; Filippi, S.; Gerardo-Giorda, L. (2020-05)
Microscopic structural features of cardiac tissue play a fundamental role in determining complex spatio-temporal excitation dynamics at the macroscopic level. Recent efforts have been devoted to the development of mathematical ...
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Numerical approximations for fractional elliptic equations via the method of semigroups 

Cusimano, N.Autoridad BCAM; Del Teso, F.; Gerardo-Giorda, L. (2020)
We provide a novel approach to the numerical solution of the family of nonlocal elliptic equations $(-\Delta)^su=f$ in $\Omega$, subject to some homogeneous boundary conditions $\mathcal{B}(u)=0$ on $\partial \Omega$, where ...
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Unlocking datasets by calibrating populations of models to data density: a study in atrial electrophysiology 

Lawson, B.A.J.; Drovandi, C.C.; Cusimano, N.Autoridad BCAM; Burrage, P.; Rodriguez, B.; Burrage, K. (2018-01-10)
The understanding of complex physical or biological systems nearly always requires a characterization of the variability that underpins these processes. In addition, the data used to calibrate these models may also often ...
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A space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries 

Cusimano, N.Autoridad BCAM; Gerardo-Giorda, L. (2017-10-04)
Classical models of electrophysiology do not typically account for the effects of high structural heterogeneity in the spatio-temporal description of excitation waves propagation. We consider a modification of the Monodomain ...
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Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions 

Cusimano, N.Autoridad BCAM; Del Teso, F.; Gerardo-Giorda, L.; Pagnini, G.Autoridad BCAM (2017-04-28)
In this work, we propose novel discretisations of the spectral fractional Laplacian on bounded domains based on the integral formulation of the operator via the heat-semigroup formalism. Specifically, we combine suitable ...
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Modeling cardiac structural heterogeneity via space-fractional differential equations 

Cusimano, N.Autoridad BCAM; Del Teso, F.; Gerardo-Giorda, L. (2017)
We discuss here the use of non-local models in space and fractional order operators in the characterisation of structural complexity and the modeling of propagation in heterogeneous biological tissues. In the specific, we ...

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Author
Cusimano, N. (10)
Gerardo-Giorda, L. (6)Aguiar, M. (3)Del Teso, F. (3)Knopoff, D.A. (3)Stollenwerk, N. (3)Anam, V. (2)Gizzi, A. (2)Mar, J. (2)BidaurrazagaVan‑Dierdonc, J. (1)... másSubjectBounded Domain (2)Finite elements (2)Fractional Laplacian (2)Homogeneous and Nonhomogeneous Boundary Conditions (2)Integral Quadrature (2)alternans dynamics (1)atrial electrophysiology (1)bidomain (1)Boundary Value Problem (1)calibration against data distribution (1)... másFecha2022 (2)2021 (2)2020 (2)2018 (1)2017 (3)

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