Browsing Mathematical Modelling in Biosciences by Title
Now showing items 1938 of 50

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 ... 
Incorporating landscape heterogeneities in the spread of an epidemics in wildlife
(Complex Systems; Control of Infectious Diseases, Extended Abstracts 2013. Ã lvaro Corral, Anna Deluca, Francesc FontClos, Pilar Guerrero, Andrei Korobeinikov, Francesco Massucci eds., Springer,.http://dx.doi.org/10.1007/9783319081380_19", 20141231)One of the main difficulties in the modeling and numerical simulation of the spread of an infectious disease in wildlife resides in properly taking into account the heterogeneities of the landscape. Forests, plains and ... 
Information Flow between RestingState Networks
(Brain Connectivity, 20151231)The resting brain dynamics selforganize into a finite number of correlated patterns known as restingstate networks (RSNs). It is well known that techniques such as independent component analysis can separate the brain ... 
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 ... 
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 ... 
Key aspects for effective mathematical modelling of fractionaldiffusion in cardiac electrophysiology: A quantitative study
(Communications in Nonlinear Science and Numerical Simulation, 202005)Microscopic structural features of cardiac tissue play a fundamental role in determining complex spatiotemporal excitation dynamics at the macroscopic level. Recent efforts have been devoted to the development of mathematical ... 
Lagged and instantaneous dynamical influences related to brain structural connectivity
(Frontiers in Psychology, 20151231)Contemporary neuroimaging methods can shed light on the basis of human neural and cognitive specializations, with important implications for neuroscience and medicine. Indeed, different MRI acquisitions provide different ... 
Largescale simulations of synthetic markets
(Communications in Applied and Industrial Mathematics, 20151008)Highfrequency trading has been experiencing an increase of interest both for practical purposes within nancial institutions and within academic research; recently, the UK Government O ce for Science reviewed the state ... 
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 ... 
Longitudinal variations of brain functional connectivity: A case report study based on a mouse model of epilepsy
(F1000Research, 20151231)Brain Functional Connectivity (FC) quantifies statistical dependencies between areas of the brain. FC has been widely used to address altered function of brain circuits in control conditions compared to different pathological ... 
Metamodeling on detailed geography for accurate prediction of invasive alien species dispersal
(Scientific Reports, 20191107)Invasive species are recognized as a significant threat to biodiversity. The mathematical modeling of their spatiotemporal dynamics can provide significant help to environmental managers in devising suitable control ... 
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 ... 
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) 
Numerical approximations for fractional elliptic equations via the method of semigroups
(ESAIM: Mathematical Modelling and Numerical Analysis, 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 susceptibleexposedinfectious spacecontinuous model for the spread of rabies in raccoons across a realistic landscape
(Journal of Biological Dynamics, 20131231)We introduce a numerical model for the spread of a lethal infectious disease in wildlife. The reference model is a SusceptibleExposedInfectious system where the spatial component of the dynamics is modelled by a diffusion ... 
Optimized schwarz methods and model adaptivity in electrocardiology simulations
(Lecture Notes in Computational Science and Engineering, 20141231)[No abstract available] 
Optimized schwarz methods for the bidomain system in electrocardiology
(Mathematical Modelling and Numerical Analysis, 20131231)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 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 ... 
Parallelizing the KolmogorovFokkerPlanck Equation
(ESAIM M2AN: Mathematical Modelling and Numerical Analysis, 20151231)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 FokkerPlanck equation describing the ...