ReviewVietnam journal of mathematics2021
Active Force Generation in Cardiac Muscle Cells: Mathematical Modeling and Numerical Simulation of the Actin-Myosin Interaction.
Review in Vietnam journal of mathematics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed, 31 citations in OpenAlex.
- Mechanical deformation and death of circulating tumor cells in the bloodstream.Cancer metastasis reviews · 2024Review
- Active viscoelastic models for cell and tissue mechanics.Royal Society open science · 2024Article
- The role of computational methods in cardiovascular medicine: a narrative review.Translational pediatrics · 2024Review
- Nuclear deformation regulates YAP dynamics in cancer associated fibroblasts.Acta biomaterialia · 2024Article
- A Multiple Step Active Stiffness Integration Scheme to Couple a Stochastic Cross-Bridge Model and Continuum Mechanics for Uses in Both Basic Research and Clinical Applications of Heart Simulation.Frontiers in physiology · 2021Article
- Biophysically detailed mathematical models of multiscale cardiac active mechanics.PLoS computational biology · 2020Article
Corrections and comments
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
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 mechanisms behind the generation of active force, that is the process by which the chemical energy of ATP (adenosine triphosphate) is transformed into mechanical work, thus making the muscle tissue contract. While presenting these models, that feature different levels of biophysical detail, we analyze the trade-off between the accuracy in the description of the subcellular mechanisms and the number of parameters that need to be estimated from experiments. Then, we focus on a generalized version of the classic Huxley model, built on the basis of models available in the literature, that is able to reproduce the main experimental characterizations associated to the time scales typical of a heartbeat-such as the force-velocity relationship and the tissue stiffness in response to small steps-featuring only four independent parameters. Finally, we show how those parameters can be calibrated starting from macroscopic measurements available from experiments.
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