Mathematical Modelling in Biosciences
Browse by
Recent Submissions
-
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 ... -
An RBF-FD 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):1943-1961, ... -
Unlocking datasets by calibrating populations of models to data density: a study in atrial electrophysiology
(Science Advances, 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 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 ... -
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 ... -
Structuring targeted surveillance for monitoring disease emergence by mapping observational data onto ecological process
(Journal of the Royal Society Interface, 2013-12-31)An efficient surveillance system is a crucial factor in identifying, monitoring and tackling outbreaks of infectious diseases. Scarcity of data and limited amounts of economic resources require a targeted effort from public ... -
Numerical simulation of a susceptible-exposed-infectious space-continuous model for the spread of rabies in raccoons across a realistic landscape
(Journal of Biological Dynamics, 2013-12-31)We introduce a numerical model for the spread of a lethal infectious disease in wildlife. The reference model is a Susceptible-Exposed-Infectious system where the spatial component of the dynamics is modelled by a diffusion ... -
Optimized schwarz methods for the bidomain system in electrocardiology
(Mathematical Modelling and Numerical Analysis, 2013-12-31)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 ... -
Spectral analysis of a block-triangular preconditioner for the bidomain system in electrocardiology
(Electronic Transactions on Numerical Analysis, 2012-12-31)In this paper we analyze in detail the spectral properties of the block-triangular preconditioner introduced by Gerardo-Giorda et al. [J. Comput. Phys., 228 (2009), pp. 3625-3639] for the Bidomain system in non-symmetric ... -
Estimation of age-specific rates of reactivation and immune boosting of the varicella zoster virus
(Epidemics, 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. ... -
A computational multiscale model of cortical spreading depression propagation
(Computers and Mathematics with Applications, 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, ... -
Large-scale simulations of synthetic markets
(Communications in Applied and Industrial Mathematics, 2015-10-08)High-frequency 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 ... -
Patient-specific computational modeling of Cortical Spreading Depression via Diffusion Tensor Imaging
(International Journal for Numerical Methods in Biomedical Engineering, 2016-06-29)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 ... -
Temporal excitation patterns on the cerebral cortex as a result of migraine modeling
(Springer Proceedings in Physics, 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 ... -
Longitudinal variations of brain functional connectivity: A case report study based on a mouse model of epilepsy
(F1000Research, 2015-12-31)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 ... -
Computational modeling of open-irrigated electrodes for radiofrequency cardiac ablation including blood motion-saline flow interaction
(PLoS ONE, 2016-01-01)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 ... -
Comparative analysis of different methods of modeling the thermal effect of circulating blood flow during RF cardiac ablation
(IEEE Transactions on Biomedical Engineering, 2016-01-01)Our aim was to compare the different methods of modeling the effect of circulating blood flow on the thermal lesion dimensions created by radio frequency (RF) cardiac ablation and on the maximum blood temperature. Computational ... -
A computational model of open-irrigated electrode for endocardial RF catheter ablation
(Computing in Cardiology, 2016-01-01)Radiofrequency catheter ablation (RFCA) is an important curative treatment for cardiac arrhythmias. However, during RFCA thrombus formation can occur when the electrode-tissue interface temperature exceeds 80°C. Open-irrigated ... -
Geometry shapes propagation: Assessing the presence and absence of cortical symmetries through a computational model of cortical spreading depression
(Frontiers in Computational Neuroscience, 2015-12-31)Cortical spreading depression (CSD), a depolarization wave which originates in the visual cortex and travels toward the frontal lobe, has been suggested to be one neural correlate of aura migraine. To the date, little is ...
RSS 1.0