Mathematical Modelling in Biosciences
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Patient-specific modelling of cortical spreading depression applied to migraine studies
(2019-06-17)Migraine is a common neurological disorder and one-third of migraine patients suffer from migraine aura, a perceptual disturbance preceding the typically unilateral headache. Cortical spreading depression (CSD), a ... -
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, ... -
SDE-driven modeling of phenotypically heterogeneous tumors: The influence of cancer cell stemness
(Discrete and Continuous Dynamical Systems - Series B, 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 ... -
Tissue drives lesion: computational evidence of interspecies variability in cardiac radiofrequency ablation
(HE 10TH INTERNATIONAL CONFERENCE ON FUNCTIONAL IMAGING AND MODELING OF THE HEART, 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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
Computational modeling of open-irrigated electrodes for radiofrequency cardiac ablation including blood motion-saline flow interaction
(PLoS One, 2016)Radiofrequency catheter ablation (RFCA) is a routine treatment for cardiac arrhythmias. During RFCA, the electrode-tissue interface temperature should be kept below 80°C to avoid thrombus formation. Open-irrigated electrodes ... -
Computational Model for Prediction of the Occurrence of Steam Pops during Irrigated Radiofrequency Catheter Ablation
(Computing in Cardiology 43, 2016)Radiofrequency catheter ablation (RFCA) is a curative treatment for cardiac arrhythmias. Although globally a pretty safe procedure, it may present some risk. Steam pop is a serious complication that can occur during RFCA ... -
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 ... -
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 ... -
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) -
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 ... -
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 ... -
An introduction to mathematical and numerical modeling in heart electrophysiology
(2016)The electrical activation of the heart is the biological process that regulates the contraction of the cardiac muscle, allowing it to pump blood to the whole body. In physiological conditions, the pacemaker cells of the ... -
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 ... -
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 ...
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