Now showing items 32-39 of 39

• #### 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 ...
• #### 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, ...
• #### 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 ...
• #### 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 ...
• #### 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 ...
• #### 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 ...
• #### 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 ...
• #### 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 ...