Mathematical Model of Early Vascular Patterning
Author Information
Author(s): Köhn-Luque Alvaro, de Back Walter, Starruß Jörn, Mattiotti Andrea, Deutsch Andreas, Pérez-Pomares José María, Herrero Miguel A.
Primary Institution: Universidad Complutense de Madrid
Hypothesis
The study proposes that endodermal VEGF signaling activity, having a paracrine effect on adjacent angioblasts, is mediated by its binding to the extracellular matrix.
Conclusion
The mathematical model accurately mimics the vascular patterns observed in quail embryos, supporting the theory that paracrine signaling regulates early vascular development.
Supporting Evidence
- The model mimics the vascular patterns with high accuracy.
- Paracrine signaling can result in the formation of fine-grained cellular networks.
- Angioblasts produce ECM molecules that bind VEGF, providing spatial cues for cell migration.
Takeaway
This study uses math to show how cells in embryos work together to form blood vessels, using signals from their surroundings.
Methodology
The study employs a hybrid cellular Potts/reaction-diffusion model to simulate vascular pattern formation.
Limitations
The model does not account for cell proliferation or death, which may affect the dynamics of vascular development.
Digital Object Identifier (DOI)
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