Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt
From MaRDI portal
Publication:5041588
DOI10.1177/10812865211048925OpenAlexW3214362589MaRDI QIDQ5041588
Ewa Bednarczyk, Tomasz Lekszycki
Publication date: 14 October 2022
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/10812865211048925
Uses Software
Cites Work
- The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voids
- An energy-based method to determine material constants in nonlinear rheology with applications
- A novel mathematical model for growth of capillaries and nutrient supply with application to prediction of osteophyte onset
- Two-dimensional strain gradient damage modeling: a variational approach
- Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients
- Self-intersecting geodesics and entropy of the geodesic flow
- Characterization of a cohesive-zone model describing damage and de-cohesion at bonded interfaces. Sensitivity analysis and mode-I parameter identification
- Identification of adhesive properties in GLARE assemblies using digital image correlation
- Bone ingrowth on the surface of endosseous implants. I: Mathematical model
- An alternative approach to Michaelis-Menten kinetics that is based on the renormalization group
- A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results
- The use of quasi-isospectral operators for damage detection in rods
- Angiogenesis in bone fracture healing: a bioregulatory model
- A new comprehensive approach for bone remodeling under medium and high mechanical load based on cellular activity
- A multiphysics stimulus for continuum mechanics bone remodeling
- New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis-Menten paper
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Energy approach to brittle fracture in strain-gradient modelling
- Modeling of a non-local stimulus for bone remodeling process under cyclic load: Application to a dental implant using a bioresorbable porous material
- Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation
- Mechanical metamaterials: a state of the art
- At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
This page was built for publication: Evolution of bone tissue based on angiogenesis as a crucial factor: New mathematical attempt