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20212026
most citedLearning the Hodgkin-Huxley Model with Operator Learning Techniques

2 citations · 2 across the 4 of their papers we have counts for

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math.NA2026

Second-Order IMEX Time-Stepping Methods for Efficient Bidomain Multi-Electrode Array Simulations of Cardiac Stem Cell Monolayers

Sofia Tonali, Sofia Botti, Luca Franco Pavarino

Multi-electrode Arrays (MEAs) enable tissue-level electrophysiological studies of human induced pluripotent stem cell-derived cardiomyocytes (hiPSC-CMs) by recording extracellular…

math.NA2025

A BDDC Preconditioner for the Cardiac EMI Model in three Dimensions

Fritz Goebel, Ngoc Mai Monica Huynh, Fatemeh Chegini +4

We analyze a Balancing Domain Decomposition by Constraints (BDDC) preconditioner for the solution of three dimensional composite Discontinuous Galerkin discretizations of reaction-…

math.NA2024★ 2 cited

Learning the Hodgkin-Huxley Model with Operator Learning Techniques

Edoardo Centofanti, Massimiliano Ghiotto, Luca F. Pavarino

We construct and compare three operator learning architectures, DeepONet, Fourier Neural Operator, and Wavelet Neural Operator, in order to learn the operator mapping a time-depend…

math.NA2022

A comparative study of scalable multilevel preconditioners for cardiac mechanics

Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi

In this work, we provide a performance comparison between the Balancing Domain Decomposition by Constraints (BDDC) and the Algebraic Multigrid (AMG) preconditioners for cardiac mec…

math.NA2021

Myocardial ischemic effects on cardiac electro-mechanical activity

B. V. Rathish Kumar, Meena Pargaei, Luca F. Pavarino +1

In this work, we investigated the effect of varying strength of Hyperkalemia and Hypoxia, in human cardiac tissue with a local ischemic subregion, on the electrical and mechanical…