ArticleBiomechanics and modeling in mechanobiology2016
Mathematical modelling of angiogenesis using continuous cell-based models.
Article in Biomechanics and modeling in mechanobiology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Cell-Extracellular Matrix Feedback Results in Spontaneous Cell Polarization and Heterogeneous Remodeling in 3D Isotropic and Aligned Discrete-Fiber Models of Cell-Mediated Remodeling.Cellular and molecular bioengineering · 2026Article
- Digital twin demonstrates significance of biomechanical growth control in liver regeneration after partial hepatectomy.iScience · 2023Article
- Computational models for generating microvascular structures: Investigations beyond medical imaging resolution.WIREs mechanisms of disease · 2023Review
- On the role of mechanical signals on sprouting angiogenesis through computer modeling approaches.Biomechanics and modeling in mechanobiology · 2022Review
- The Future of Burn Care From a Complexity Science Perspective.Journal of burn care & research : official publication of the American Burn Association · 2022Article
- Modelling of Epithelial Growth, Fission and Lumen Formation During Embryonic Thyroid Development: A Combination of Computational and Experimental Approaches.Frontiers in endocrinology · 2021Article
- Computational modeling of therapy on pancreatic cancer in its early stages.Biomechanics and modeling in mechanobiology · 2020Article
- A Simple and Nonenzymatic Method to Isolate Human Corpus Cavernosum Endothelial Cells and Pericytes for the Study of Erectile Dysfunction.The world journal of men's health · 2020Article
- A local uPAR-plasmin-TGFβ1 positive feedback loop in a qualitative computational model of angiogenic sprouting explains the in vitro effect of fibrinogen variants.PLoS computational biology · 2018Article
- A model for cell migration in non-isotropic fibrin networks with an application to pancreatic tumor islets.Biomechanics and modeling in mechanobiology · 2018Article
- A Network Model to Explore the Effect of the Micro-environment on Endothelial Cell Behavior during Angiogenesis.Frontiers in physiology · 2017Article
- Review on experiment-based two- and three-dimensional models for wound healing.Interface focus · 2016Review
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this work, we develop a mathematical formalism based on a 3D in vitro model that is used to simulate the early stages of angiogenesis. The model treats cells as individual entities that are migrating as a result of chemotaxis and durotaxis. The phenotypes used here are endothelial cells that can be distinguished into stalk and tip (leading) cells. The model takes into account the dynamic interaction and interchange between both phenotypes. Next to the cells, the model takes into account several proteins such as vascular endothelial growth factor, delta-like ligand 4, urokinase plasminogen activator and matrix metalloproteinase, which are computed through the solution of a system of reaction-diffusion equations. The method used in the present study is classified into the hybrid approaches. The present study, implemented in three spatial dimensions, demonstrates the feasibility of the approach that is qualitatively confirmed by experimental results.
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