ArticlePLoS computational biology2020
Notch signaling and taxis mechanisms regulate early stage angiogenesis: A mathematical and computational model.
Article in PLoS computational biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
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Who cites it
20 citing papers in PubMed, 40 citations in OpenAlex.
- Targeting stiffness-dependent YAP/TAZ restores angiogenesis dynamics impaired by ALK1 knockout in silico.PLoS computational biology · 2026Article
- Temporal dynamics of angiogenesis: the emerging role of mechanoregulated pathways.Biochemical Society transactions · 2025Review
- Exploring the role of two polypeptide nanofiber gels derived from RADA16-I self-assembly in accelerating burn wound healing.Scientific reports · 2025Article
- Falsifying computational models of endothelial cell network formation through quantitative comparison with in vitro models.PLoS computational biology · 2025Article
- Validating the predictions of mathematical models describing tumor growth and treatment response.ArXiv · 2025Article
- Wound healing and signaling pathways.Open life sciences · 2025Review
- YAP/TAZ drives Notch and angiogenesis mechanoregulation in silico.NPJ systems biology and applications · 2024Article
- Review
- Analysis of Expression of the ANG1, CaSR and FAK Proteins in Uterine Fibroids.International journal of molecular sciences · 2024Article
- Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist.Frontiers in cell and developmental biology · 2024Review
- Review
- On the role of mechanical signals on sprouting angiogenesis through computer modeling approaches.Biomechanics and modeling in mechanobiology · 2022Review
- Systems biology of angiogenesis signaling: Computational models and omics.WIREs mechanisms of disease · 2022Review
- Engineered patterns of Notch ligands Jag1 and Dll4 elicit differential spatial control of endothelial sprouting.iScience · 2022Article
- Computational model of brain endothelial cell signaling pathways predicts therapeutic targets for cerebral pathologies.Journal of molecular and cellular cardiology · 2022Article
- Mechanistic characterization of endothelial sprouting mediated by pro-angiogenic signaling.Microcirculation (New York, N.Y. : 1994) · 2022Article
- Multiscale modeling of tumor growth and angiogenesis: Evaluation of tumor-targeted therapy.PLoS computational biology · 2021Article
- Anomalous Angiogenesis in Retina.Biomedicines · 2021Article
- A multiscale model of complex endothelial cell dynamics in early angiogenesis.PLoS computational biology · 2021Article
- Tracking collective cell motion by topological data analysis.PLoS computational biology · 2020Article
Corrections and comments
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Authors and funding
4 authors at 3 institutions in 3 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
During angiogenesis, new blood vessels sprout and grow from existing ones. This process plays a crucial role in organ development and repair, in wound healing and in numerous pathological processes such as cancer progression or diabetes. Here, we present a mathematical model of early stage angiogenesis that permits exploration of the relative importance of mechanical, chemical and cellular cues. Endothelial cells proliferate and move over an extracellular matrix by following external gradients of Vessel Endothelial Growth Factor, adhesion and stiffness, which are incorporated to a Cellular Potts model with a finite element description of elasticity. The dynamics of Notch signaling involving Delta-4 and Jagged-1 ligands determines tip cell selection and vessel branching. Through their production rates, competing Jagged-Notch and Delta-Notch dynamics determine the influence of lateral inhibition and lateral induction on the selection of cellular phenotypes, branching of blood vessels, anastomosis (fusion of blood vessels) and angiogenesis velocity. Anastomosis may be favored or impeded depending on the mechanical configuration of strain vectors in the ECM near tip cells. Numerical simulations demonstrate that increasing Jagged production results in pathological vasculatures with thinner and more abundant vessels, which can be compensated by augmenting the production of Delta ligands.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.