Publications related to Isogeometric Analysis of Electrophysiological Models on Surfaces

MATHICSE technical Report : Stabilized explicit multirate methods for stiff differential equations

Stabilized Runge–Kutta (aka Chebyshev) methods are especially efficient for the numerical solution of large systems of stiff differential equations because they are fully explicit; hence, they are inherently parallel and easily accommodate nonlinearity. Fo ...

MATHICSE2020

Biophysically detailed mathematical models of multiscale cardiac active mechanics

Alfio Quarteroni, Francesco Regazzoni

Author summary Computer-based numerical simulations of the heart are increasingly assuming a recognized role in the context of computational medicine and cardiology. They are based on mathematical models describing the different physical phenomena occurrin ...

2020

Active Force Generation in Cardiac Muscle Cells: Mathematical Modeling and Numerical Simulation of the Actin-Myosin Interaction

Alfio Quarteroni, Francesco Regazzoni

Cardiac in silico numerical simulations are based on mathematical models describing the physical processes involved in the heart function. In this review paper, we critically survey biophysically-detailed mathematical models describing the subcellular mech ...

SPRINGER SINGAPORE PTE LTD2020

Re-evaluating natural resource investments under uncertainty: An alternative to limited traditional approaches

Sebastian Maier

The need to evaluate natural resource investments under uncertainty has given rise to the development of real options valuation; however, the analysis of such investments has been restricted by the capabilities of existing valuation approaches. We re-visit ...

2020

A mathematical model of the human heart

Alfio Quarteroni

In this paper, we present a mathematical model able to simulate the cardiac function. We first describe the basic physical principles behind the mathematical equations, then we illustrate a few examples of application to problems of clinical relevance. ...

PENSIERO SCIENTIFICO EDITOR2020

On the stability of blowup solutions for the critical corotational wave-map problem

Joachim Krieger, Shuang Miao

We show that the finite time blow up solutions for the co-rotational Wave Maps problem constructed in [7,15] are stable under suitably small perturbations within the co-rotational class, provided the scaling parameter

λ(t)=t−1−ν

is sufficiently close to ...

2020

MATHICSE Technical Report : Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields

Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni

A central question in numerical homogenization of partial differential equations with multiscale coefficients is the accurate computation of effective quantities, such as the homogenized coefficients. Computing homogenized coefficients requires solving loc ...

EPFL2020

Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics

Alfio Quarteroni, Francesco Regazzoni

High fidelity (HF) mathematical models describing the generation of active force in the cardiac muscle tissue typically feature a large number of state variables to capture the intrinsically complex underlying subcellular mechanisms. With the aim of drasti ...

2020

Hybrid high-resolution RBF-ENO method

Jan Sickmann Hesthaven, Fabian Mönkeberg

Essentially nonoscillatory (ENO) and weighted ENO (WENO) methods on equidistant Cartesian grids are widely used to solve partial differential equations with discontinuous solutions. The RBF-ENO method is highly flexible in terms of geometry, but its stenci ...

2020

Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines

Xiaodong Wei, Deepesh Toshniwal

Analysis-suitable T-splines (ASTS) including both extraordinary points and T-junctions are used to solve Kirchhoff-Love shell problems. Extraordinary points are required to represent surfaces with arbitrary topological genus. T-junctions enable local refin ...

ELSEVIER SCIENCE SA2020

Isogeometric Analysis of Electrophysiological Models on Surfaces

Graph Chatbot

Chat with Graph Search

MATHICSE technical Report : Stabilized explicit multirate methods for stiff differential equations

Biophysically detailed mathematical models of multiscale cardiac active mechanics

Active Force Generation in Cardiac Muscle Cells: Mathematical Modeling and Numerical Simulation of the Actin-Myosin Interaction

Re-evaluating natural resource investments under uncertainty: An alternative to limited traditional approaches

A mathematical model of the human heart

On the stability of blowup solutions for the critical corotational wave-map problem

MATHICSE Technical Report : Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields

Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics

Hybrid high-resolution RBF-ENO method

Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines

MATHICSE technical Report : Stabilized explicit multirate methods for stiff differential equations

Biophysically detailed mathematical models of multiscale cardiac active mechanics

Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics

On the stability of blowup solutions for the critical corotational wave-map problem

Hybrid high-resolution RBF-ENO method

Active Force Generation in Cardiac Muscle Cells: Mathematical Modeling and Numerical Simulation of the Actin-Myosin Interaction

Re-evaluating natural resource investments under uncertainty: An alternative to limited traditional approaches

A mathematical model of the human heart

MATHICSE Technical Report : Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields

Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines