[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019 - books.google.com
Numerical approximation 8.3 Applications to cardiovascular modelling Parameter estimation
from clinical … filter and extensions 9.3 Applications to cardiovascular modelling Accounting …

The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
… mathematical analysis and efficient numerical approximation, often via spe… numerical
strategies for a stable, robust and computationally effective solution of the global problem. Clinical

[HTML][HTML] A fractional-order model of human liver: Analytic-approximate and numerical solutions comparing with clinical data

IG Ameen, NH Sweilam, HM Ali - Alexandria Engineering Journal, 2021 - Elsevier
… Moreover, we will compare the obtained results from these methods with clinical data to …
analytic-approximate and numerical solutions, respectively. In Section 6, we present numerical

[HTML][HTML] Bioluminescence tomography: biomedical background, mathematical theory, and numerical approximation

W Han, G Wang - … on numerical methods, analysis and applications …, 2008 - ncbi.nlm.nih.gov
… In this survey paper, we explain the biomedical significance of BLT, summarize theoretical
results on the analysis and numerical solution of a diffusion based BLT model, and comment …

The problem of linguistic approximation in clinical decision making

R Degani, G Bortolan - International Journal of Approximate Reasoning, 1988 - Elsevier
… Nevertheless, linguistic approximation is needed whenever words are required to describe
… can lead to results worthy of linguistic rather than numeric assessments. Such is the case of a …

Approximation errors and model reduction with an application in optical diffusion tomography

SR Arridge, JP Kaipio, V Kolehmainen… - Inverse …, 2006 - iopscience.iop.org
… In this paper we review the approximation error theory and … ) is approximated by a discrete
numerical scheme, eg finite … For a recent review on the clinical applications, see [9]. In …

Numerical approximation of mathematical model for absorption of subcutaneously injected insulin

P Wach, Z Trajanoski, P Kotanko, F Skrabal - Medical and Biological …, 1995 - Springer
Numerical approximation is carried out by modelling the whole system as a capacitor-…
absorption, it can be shown that the approximation scheme yields sufficiently accurate results. The …

Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

S Pagani, A Manzoni, A Quarteroni - Computer Methods in Applied …, 2018 - Elsevier
… focus on, as well as of its full-order approximation. A POD–Galerkin–DEIM model is detailed
… Finally, in Section 5 we compare the numerical performances of the different local ROMs on …

[图书][B] Numerical and statistical methods for bioengineering: applications in MATLAB

MR King, NA Mody - 2010 - books.google.com
… from clinical trials and bioinformatics, which are not found in other numerical methods textbooks
… The “significance” or “quality” of a numeric approximation is dependent on the number of …

Isogeometric approximation of cardiac electrophysiology models on surfaces: An accuracy study with application to the human left atrium

AS Patelli, L Dedè, T Lassila, A Bartezzaghi… - Computer Methods in …, 2017 - Elsevier
approximation of cardiac electrophysiology models defined on NURBS surfaces; specifically,
we perform a numerical … to find the most accurate approximation of a propagating front with …