Browsing by Author "Cusimano, N."
Now showing items 1-10 of 10
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Critical fluctuations in epidemic models explain COVID‑19 post‑lockdown dynamics
Aguiar, M.
; BidaurrazagaVan‑Dierdonc, J.; Mar, J.; Cusimano, N.; Knopoff, D.A.; Anam, V.; Stollenwerk, N. (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 ... -
Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions
Cusimano, N.; Del Teso, F.; Gerardo-Giorda, L.; Pagnini, G. (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 ... -
Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: A quantitative study
Cusimano, N.; 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 ... -
Modeling cardiac structural heterogeneity via space-fractional differential equations
Cusimano, N.; 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 ... -
Numerical approximations for fractional elliptic equations via the method of semigroups
Cusimano, N.; 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 ... -
Seasonally Forced SIR Systems Applied to Respiratory Infectious Diseases, Bifurcations, and Chaos
Stollenwerk, N.; Spaziani, S.; Mar, J.; Knopoff, D.A.; Cusimano, N.; Anam, V.; Aguiar, M.; Eguiguren, I.; 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 ... -
A space-fractional bidomain framework for cardiac electrophysiology: 1D alternans dynamics
Cusimano, N.; 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 ... -
A space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries
Cusimano, N.; 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 ... -
Spatially Extended SHAR Epidemiological Framework of Infectious Disease Transmission
Knopoff, D.A.; Cusimano, N.; Stollenwerk, N.; Aguiar, M. (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 ... -
Unlocking datasets by calibrating populations of models to data density: a study in atrial electrophysiology
Lawson, B.A.J.; Drovandi, C.C.; Cusimano, N.; 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 ...