Now showing items 21-40 of 63

• #### 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 ...
• #### A computational multiscale model of cortical spreading depression propagation ﻿

(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 ﻿

(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 ﻿

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

(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, ...
• #### 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 ﻿

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

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ...
• #### SDE-driven modeling of phenotypically heterogeneous tumors: The influence of cancer cell stemness ﻿

(2019)
We deduce cell population models describing the evolution of a tumor (possibly interacting with its environment of healthy cells) with the aid of differential equations. Thereby, different subpopulations of cancer cells ...
• #### Glioma invasion and its interplay with the nervous tissue: a multiscale model ﻿

(2019)
A multiscale mathematical model for glioma cell migration and proliferation is proposed, taking into account a possible therapeutic approach. Starting with the description of processes taking place on the subcellular level, ...
• #### How does radiofrequency ablation efficacy depend on the stiffness of the cardiac tissue? Insights from a computational model ﻿

(2019)
Objective. Radiofrequency catheter ablation (RFCA) is an effective treatment for the elimination of cardiac arrhythmias, however it is not exempt from complications that can risk the patients’ life. The efficacy of 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 ...