Pattern formation of elliptic particles by two-body interactions: A model for dynamics of endothelial cells in angiogenesis.

  title={Pattern formation of elliptic particles by two-body interactions: A model for dynamics of endothelial cells in angiogenesis.},
  author={Tatsuya Hayashi and Fumitaka Yura and J. Mada and H. Kurihara and Tetsuji Tokihiro},
  journal={Journal of theoretical biology},



Particle-based simulation of ellipse-shaped particle aggregation as a model for vascular network formation

A lattice-free, particle-based simulation of the cell elongation model of vasculogenesis suggests that the emergence of order is possible with the application of a high enough attractive force or, alternatively, a longer attraction radius.

A Discrete Mathematical Model for Angiogenesis

A discrete mathematical model is proposed which incorporates two-body interaction between endothelial cells which induces cell-mixing behavior and length of the generating blood vessel shows temporal power-law scaling behavior in angiogenesis.

3D hybrid modelling of vascular network formation.

A Cell-Based Model of Extracellular-Matrix-Guided Endothelial Cell Migration During Angiogenesis

An explorative study of the cellular self-organization resulting from such ECM-coordinated cell migration is presented, showing that a set of biologically-motivated, cell behavioral rules suffice for forming sprouts and branching vascular trees.

Endothelial cells on the move: dynamics in vascular morphogenesis and disease

The relevance and the mechanisms involving endothelial cell migration during different steps of vascular morphogenesis are highlighted and evidence on how impaired endothelium cell dynamics can contribute to pathology is presented.

A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis.

This model provides a quantitative framework to test hypotheses on the biochemical and biomechanical mechanisms that control tumor-induced angiogenesis and shows inhomogeneities in the extravascular tissue lead to sprout branching and anastomosis, phenomena that emerge without any prescribed rules.

Angiogenic morphogenesis driven by dynamic and heterogeneous collective endothelial cell movement

A time-lapse imaging and computer-assisted analysis system is established that quantitatively characterizes behaviors in sprouting angiogenesis and provides new insights into the individual and collective EC movements driving angiogenic morphogenesis.