Now showing items 21-36 of 36

• #### Modeling cardiac structural heterogeneity via space-fractional differential equations ﻿

(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 ...

(2017)
• #### Numerical approximations for fractional elliptic equations via the method of semigroups ﻿

(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 ...
• #### Numerical simulation of a susceptible-exposed-infectious space-continuous model for the spread of rabies in raccoons across a realistic landscape ﻿

(2013-12-31)
We introduce a numerical model for the spread of a lethal infectious disease in wildlife. The reference model is a Susceptible-Exposed-Infectious system where the spatial component of the dynamics is modelled by a diffusion ...
• #### Optimized schwarz methods and model adaptivity in electrocardiology simulations ﻿

(2014-12-31)
[No abstract available]
• #### Optimized schwarz methods for the bidomain system in electrocardiology ﻿

(2013-12-31)
The propagation of the action potential in the heart chambers is accurately described by the Bidomain model, which is commonly accepted and used in the specialistic literature. However, its mathematical structure of a ...
• #### Optimized Schwarz Methods in the Stokes-Darcy Coupling ﻿

(2018-10-16)
This article studies optimized Schwarz methods for the Stokes–Darcy problem. Robin transmission conditions are introduced, and the coupled problem is reduced to a suitable interface system that can be solved using Krylov ...
• #### Parallelizing the Kolmogorov-Fokker-Planck Equation ﻿

(2015-12-31)
We design two parallel schemes, based on Schwarz Waveform Relaxation (SWR) procedures, for the numerical solution of the Kolmogorov equation. The latter is a simplified version of the Fokker-Planck equation describing the ...
• #### Patient-specific computational modeling of Cortical Spreading Depression via Diffusion Tensor Imaging ﻿

(2016-06-29)
Cortical Spreading Depression (CSD), a depolarization wave originat- ing in the visual cortex and traveling towards the frontal lobe, is com- monly accepted as a correlate of migraine visual aura. As of today, little is ...
• #### A space-fractional bidomain framework for cardiac electrophysiology: 1D alternans dynamics ﻿

(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 ﻿

(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 ...
• #### Spectral analysis of a block-triangular preconditioner for the bidomain system in electrocardiology ﻿

(2012-12-31)
In this paper we analyze in detail the spectral properties of the block-triangular preconditioner introduced by Gerardo-Giorda et al. [J. Comput. Phys., 228 (2009), pp. 3625-3639] for the Bidomain system in non-symmetric ...
• #### Structuring targeted surveillance for monitoring disease emergence by mapping observational data onto ecological process ﻿

(2013-12-31)
An efficient surveillance system is a crucial factor in identifying, monitoring and tackling outbreaks of infectious diseases. Scarcity of data and limited amounts of economic resources require a targeted effort from public ...
• #### Temporal excitation patterns on the cerebral cortex as a result of migraine modeling ﻿

(2016-06-29)
The complex, highly individual, geometry of the cerebral cortex in humans presents a major challenge in studying the spreading of spontaneous neuronal activity. Recent computational advances [1] allow to simulate the ...
• #### Tissue drives lesion: computational evidence of interspecies variability in cardiac radiofrequency ablation ﻿

(2019)
Radiofrequency catheter ablation (RFCA) is widely used for the treatment of various types of cardiac arrhythmias. Typically, the efficacy and the safety of the ablation protocols used in the clinics are derived from tests ...
• #### Transitions between bursting modes in the integrated oscillator model for pancreatic β-cells ﻿

(2018-06-20)
Insulin-secreting $\beta$-cells of pancreatic islets of Langerhans produce bursts of electrical impulses, resulting in intracellular Ca$^{2+}$ oscillations and pulsatile insulin secretion. The mechanism for this bursting ...