Mathematical Modelling with Multidisciplinary Applications (M3A)
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A leastsquares implicit RBFFD closest point method and applications to PDEs on moving surfaces
(Journal of Computational Physics, 201810)The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):19431961, [2008]) is an embedding method developed to solve a variety of partial differential equations (PDEs) on smooth surfaces, using a closest point ... 
ProC congruence properties for groups of rooted tree automorphisms
(Archiv der Mathematik, 20181121)We propose a generalisation of the congruence subgroup problem for groups acting on rooted trees. Instead of only comparing the profinite completion to that given by level stabilizers, we also compare pro$\mathcal{C}$ ... 
MultiGGS groups have the congruence subgroup property
(Proceedings of the Edinburgh Mathematical Society, 20181108)We generalize the result about the congruence subgroup property for GGSgroups to the family of multiGGSgroups; that is, all multiGGSgroups except the one defined by the constant vector have the congruence subgroup ... 
Computational modeling of openirrigated electrodes for radiofrequency cardiac ablation including blood motionsaline flow interaction
(PLoS One, 2016)Radiofrequency catheter ablation (RFCA) is a routine treatment for cardiac arrhythmias. During RFCA, the electrodetissue interface temperature should be kept below 80°C to avoid thrombus formation. Openirrigated 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 openirrigated 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 StokesDarcy case
(2019)Optimized Schwarz Methods (OSM) are domain decomposition techniques based on Robintype interface condition that have became increasingly popular in the last two decades. Ensuring convergence also on nonoverlapping ... 
Optimized Schwarz Methods in the StokesDarcy Coupling
(IMA J. Num. Analysis 38 (4), 20181016)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 spacefractional differential equations
(Computational and Mathematical Biomedical Engineering (CMBE2017) Proceedings, 2017)We discuss here the use of nonlocal 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 ... 
No Time at the End of the Tunnel
(Communications Physics – Nature, 20180821)Modern attosecond experiments seek to provide an insight into a long standing question: “how much time does a tunnelling particle spend in the barrier?” Traditionally, quantum theory relates this duration to the delay ... 
Multistage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods
(Journal of Computational Physics, 20180717)Modified Hamiltonian Monte Carlo (MHMC) methods combine the ideas behind two popular sampling approaches: Hamiltonian Monte Carlo (HMC) and importance sampling. As in the HMC case, the bulk of the computational cost of ... 
A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen
(Journal of Theoretical Biology, 20180226)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 βcells
(Journal of Theoretical Biology, 20180620)Insulinsecreting $\beta$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 ... 
Synthesis of Monodisperse Spherical Nanocrystals
(20160129)Nanoparticles, small units of matter with dimensions in the range 1100 nm, exhibit many advantageous sizedependent magnetic, electrical, chemical and optical prop erties, which are not observed at the microscale or ... 
On the Analysis of TrajectoryBased Search Algorithms: When is it Beneficial to Reject Improvements?
(Algorithmica, 2018)We investigate popular trajectorybased algorithms inspired by biology and physics to answer a question of general significance: when is it beneficial to reject improvements? A distinguishing factor of SSWM (Strong Selection ... 
Probabilistic Modelling of Classical and Quantum Systems
(20180614)While probabilistic modelling has been widely used in the last decades, the quantitative prediction in stochastic modelling of real physical problems remains a great challenge and requires sophisticated mathematical models ... 
An RBFFD 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):19431961, ...