Now showing items 21-39 of 39

• #### Temporal excitation patterns on the cerebral cortex as a result of migraine modeling ﻿

(Springer Proceedings in Physics, 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 ...
• #### A computational multiscale model of cortical spreading depression propagation ﻿

(Computers and Mathematics with Applications, 2016-12-19)
Cortical Spreading Depression (CSD) is a disruption of the brain hemostasis that, originating in the visual cortex and traveling towards the frontal lobe, temporarily impairs the normal functioning of neurons. Although, ...
• #### Estimation of age-specific rates of reactivation and immune boosting of the varicella zoster virus ﻿

(Epidemics, 2016-12-31)
Studies into the impact of vaccination against the varicella zoster virus (VZV) have increasingly focused on herpes zoster (HZ), which is believed to be increasing in vaccinated populations with decreasing infection pressure. ...
• #### Modeling cardiac structural heterogeneity via space-fractional differential equations ﻿

(Computational and Mathematical Biomedical Engineering (CMBE2017) Proceedings, 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 ...
• #### Modelling Cortical Spreading Depression by a computational algorithm of distributed neural excitability: correlation with clinical features in single migraine with aura patients ﻿

(Journal of Headache and Pain 18 (Suppl. 1), 2017)
• #### Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions ﻿

(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 ...
• #### 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 ...
• #### An RBF-FD closest point method for solving PDEs on surfaces ﻿

(Journal of Computational Physics, 2018)
Partial differential equations (PDEs) on surfaces appear in many applications throughout the natural and applied sciences. The classical closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, ...
• #### A computational model of open-irrigated radiofrequency catheter ablation accounting for mechanical properties of the cardiac tissue ﻿

(2018)
Radiofrequency catheter ablation (RFCA) is an effective treatment for cardiac arrhythmias. Although generally safe, it is not completely exempt from the risk of complications. The great flexibility of computational models ...
• #### Effect of Tissue Elasticity in Cardiac Radiofrequency Catheter Ablation Models ﻿

(2018)
Radiofrequency catheter ablation (RFCA) is an effective treatment for different types of cardiac arrhythmias. However, major complications can occur, including thrombus formation and steam pops. We present a full 3D ...
• #### Unlocking datasets by calibrating populations of models to data density: a study in atrial electrophysiology ﻿

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 ...
• #### A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen ﻿

(Journal of Theoretical Biology, 2018-02-26)
The human brain is a small organ which uses a disproportional amount of the total metabolic energy pro- duction in the body. While it is well understood that the most significant energy sink is the maintenance of the ...
• #### Transitions between bursting modes in the integrated oscillator model for pancreatic β-cells ﻿

(Journal of Theoretical Biology, 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 ...
• #### Qualitative analysis of kinetic-based models for tumor-immune system interaction ﻿

(Discrete and Continuous Dynamical Systems - Series B, 2018-08)
A mathematical model, based on a mesoscopic approach, describing the competition between tumor cells and immune system in terms of kinetic integro-differential equations is presented. Four interacting populations are ...
• #### A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces ﻿

(Journal of Computational Physics, 2018-10)
The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, [2008]) is an embedding method developed to solve a variety of partial differential equations (PDEs) on smooth surfaces, using a closest point ...
• #### Optimized Schwarz Methods in the Stokes-Darcy Coupling ﻿

(IMA J. Num. Analysis 38 (4), 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 ...
• #### Is minimising the convergence rate the best choice for efficient Optimized Schwarz preconditioning in heterogeneous coupling? The Stokes-Darcy case ﻿

(2019)
Optimized Schwarz Methods (OSM) are domain decomposition techniques based on Robin-type interface condition that have became increasingly popular in the last two decades. Ensuring convergence also on non-overlapping ...
• #### Is minimising the convergence rate a good choice for efficient optimized schwarz preconditioning in heterogeneous coupling? The Stokes-Darcy case ﻿

(2019-01-05)
• #### Computational predictive modeling of integrated cerebral metabolism, electrophysiology and hemodynamics ﻿

(2019-02-12)
Understanding the energetic requirement of brain cells during resting state and during high neuronal activity is a very active research area where mathematical models have contributed significantly by providing a context ...