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 …

Cardiomyocytes can adapt their size, shape, and orientation in response to altered
biomechanical or biochemical stimuli. The process by which the heart undergoes structural …

We propose a novel mathematical and numerical model for cardiac electromechanics,
wherein biophysically detailed core models describe the different physical processes …

We propose a machine learning-based method to build a system of differential equations
that approximates the dynamics of 3D electromechanical models for the human heart …

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 …

We propose four novel mathematical models, describing the microscopic mechanisms of
force generation in the cardiac muscle tissue, which are suitable for multiscale numerical …

In contrast to processive molecular motors, skeletal myosins form a large motor ensemble for
contraction of muscles against high loads. Despite numerous information on the molecular …

The results of numerical simulations of cardiac electromechanics are typically characterized
by a long transient before reaching a periodic solution known as limit cycle. This yields a …

To fully understand the health and pathology of the heart, it is necessary to integrate
knowledge accumulated at molecular, cellular, tissue, and organ levels. However, it is …

We propose a reduced ODE model for the mechanical activation of cardiac myofilaments,
which is based on explicit spatial representation of nearest-neighbour interactions. Our …