The area of fractional calculus (FC) has been fast developing and is presently being applied
in all scientific fields. Therefore, it is of key relevance to assess the present state of …

We develop a fully data-driven model of anisotropic finite viscoelasticity using neural
ordinary differential equations as building blocks. We replace the Helmholtz free energy …

Nonlinear vibration of a fractional viscoelastic micro-beam is investigated in this paper. The
Euler–Bernoulli beam theory and the nonlinear von Kármán strain are used to model the …

High failure rates present challenges for surgical and interventional therapies for peripheral
artery disease of the femoropopliteal artery (FPA). The FPA's demanding biomechanical …

This study reviews the progression of our research, from modeling growth theories for
cartilage tissue engineering, to the formulation of constrained reactive mixture theories to …

Biomechanical modeling has a wide range of applications in the medical field, including in
diagnosis, treatment planning and tissue engineering. The key to these predictive models …

To reduce potential trauma to the intestine caused by the rigid shell while also optimising its
progression efficiency, an elastomer coating was applied to a self-propelled capsule robot …

Understanding the biomechanics of the heart in health and disease plays an important role
in the diagnosis and treatment of heart failure. The use of computational biomechanical …

Biomechanics plays an important role in the diagnosis and treatment of pathological
conditions of the heart. Computational models are paving the way for personalized …

In this paper, a variable fractional derivative model (VFDM) is used to model the viscoelastic
circular plate whose thickness varies exponentially. Based on the VFDM, a ternary variable …