Now showing items 34-46 of 46

• #### Parallelizing the Kolmogorov-Fokker-Planck Equation ﻿

(ESAIM M2AN: Mathematical Modelling and Numerical Analysis, 2015-12-31)
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 Fokker-Planck equation describing the ...
• #### 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 ...
• #### Patient-specific modelling of cortical spreading depression applied to migraine studies ﻿

(2019-06-17)
Migraine is a common neurological disorder and one-third of migraine patients suffer from migraine aura, a perceptual disturbance preceding the typically unilateral headache. Cortical spreading depression (CSD), a ...
• #### 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, ...
• #### SDE-driven modeling of phenotypically heterogeneous tumors: The influence of cancer cell stemness ﻿

(Discrete and Continuous Dynamical Systems - Series B, 2019)
We deduce cell population models describing the evolution of a tumor (possibly interacting with its environment of healthy cells) with the aid of differential equations. Thereby, different subpopulations of cancer cells ...
• #### 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 ...
• #### Tissue drives lesion: computational evidence of interspecies variability in cardiac radiofrequency ablation ﻿

(HE 10TH INTERNATIONAL CONFERENCE ON FUNCTIONAL IMAGING AND MODELING OF THE HEART, 2019)
Radiofrequency catheter ablation (RFCA) is widely used for the treatment of various types of cardiac arrhythmias. Typically, the efficacy and the safety of the ablation protocols used in the clinics are derived from tests ...
• #### 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 ...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6337276697158813, "perplexity": 5746.233380887804}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-43/segments/1570986684854.67/warc/CC-MAIN-20191018204336-20191018231836-00468.warc.gz"}