Modeling angiogenesis under Robin boundary conditions Articles uri icon

publication date

  • December 2025

start page

  • 1

end page

  • 8

issue

  • 4

volume

  • 13

International Standard Serial Number (ISSN)

  • 2095-4689

Electronic International Standard Serial Number (EISSN)

  • 2095-4697

abstract

  • In this study, we show an example of a numerical model based on the Keller-conditions, which represent the presence of flux at the tumor. Different parameters of the model are modified to identify key biological factors relevant to the behavior of angiogenesis. The results show that in the presence of a stronger flux, angiogenesis occurs later owing to the chemical flux that creates a more uniform and homogeneous matrix, decreasing the pronunciation of the gradient and reducing the potential of chemotaxis.

subjects

  • Biology and Biomedicine
  • Mathematics

keywords

  • angiogenesis; keller-segel; robin boundary condition