Browsing Mathematical Modelling in Biosciences by Title
Now showing items 1534 of 38

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 ... 
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 ... 
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 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 ... 
Patientspecific computational modeling of Cortical Spreading Depression via Diffusion Tensor Imaging
(International Journal for Numerical Methods in Biomedical Engineering, 20160629)Cortical Spreading Depression (CSD), a depolarization wave originat ing in the visual cortex and traveling towards the frontal lobe, is com monly accepted as a correlate of migraine visual aura. As of today, little is ... 
Qualitative analysis of kineticbased models for tumorimmune system interaction
(Discrete and Continuous Dynamical Systems  Series B, 201808)A mathematical model, based on a mesoscopic approach, describing the competition between tumor cells and immune system in terms of kinetic integrodifferential equations is presented. Four interacting populations are ... 
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, ... 
A spacefractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries
(20171004)Classical models of electrophysiology do not typically account for the effects of high structural heterogeneity in the spatiotemporal description of excitation waves propagation. We consider a modification of the Monodomain ... 
Spectral analysis of a blocktriangular preconditioner for the bidomain system in electrocardiology
(Electronic Transactions on Numerical Analysis, 20121231)In this paper we analyze in detail the spectral properties of the blocktriangular preconditioner introduced by GerardoGiorda et al. [J. Comput. Phys., 228 (2009), pp. 36253639] for the Bidomain system in nonsymmetric ...