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Related Experiment Videos

Cell directional persistence [corrected] and chemotaxis in vascular morphogenesis.

D Ambrosi1, A Gamba, G Serini

  • 1Dipartimento di Matematica, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129 Torino, Italy. david.ambrosi@polito.it

Bulletin of Mathematical Biology
|November 4, 2004
PubMed
Summary

Endothelial cells self-organize into vascular networks on Matrigel, mimicking capillary formation. A mathematical model explains this self-organization, relating network size to chemoattractant diffusion for artificial tissue design.

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Area of Science:

  • Biomedical Engineering
  • Cell Biology
  • Mathematical Modeling

Background:

  • Vertebrate tissues rely on blood vascular systems for oxygen and nutrient supply via capillary networks.
  • Endothelial cells cultured on basement membrane proteins (Matrigel) self-organize into vascular networks, mimicking in vivo capillary formation.
  • The resulting in vitro vascular networks exhibit a characteristic length scale independent of initial cell density.

Purpose of the Study:

  • To develop and describe a mathematical model for endothelial cell self-organization into vascular networks.
  • To reproduce qualitative and quantitative features of in vitro vascularization experiments.
  • To theoretically relate the average network size to chemoattractant diffusion range.

Main Methods:

  • Modeling endothelial cell matter as an elastic fluid.

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  • Implementing a force field dependent on chemoattractant concentration.
  • Performing numerical simulations starting from sparse initial cell distributions.

    • Main Results:

    • The model successfully reproduces characteristic network structures observed in laboratory experiments.
    • The average size of the simulated networks is theoretically linked to the finite diffusion range of the chemoattractant.
    • The model demonstrates independence of network length scale from initial cell density over a wide range.

    Conclusions:

    • The mathematical model provides a framework for understanding endothelial cell self-organization into vascular networks.
    • The model's findings have potential applications in designing vascularized artificial tissues.
    • Chemoattractant diffusion dynamics play a crucial role in determining the scale of self-organized vascular patterns.