Mathematical analysis of Glioblastoma invasion models from in vitro experiment

Akisato Kubo, Yuto Miyata

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Stein et al. proposed a continuum mathematical model describing Glioblastoma invasion ob-served in their experiments on the patterns of growth and dispersion of U87MG tumour spheroids in a three-dimensional collagen-I gel. They identify and characterise discrete cellular mechanisms underlying invasive cell motility from the experimental data. However in their experiments it is observed micro-scopically that the U87MG invasive cells often exhibit more complicated and irregular behaviour than expressed by their model. We propose a mathematical model by generalising the radially biased motility term in their model based on the mechanism govering the behaviour of U87MG cell in the experiment. We show a rigorous mathematical analysis of our model and give computer simulations of the experiment based on our mathematical model.

本文言語English
ページ(範囲)62-68
ページ数7
ジャーナルWSEAS Transactions on Mathematics
16
出版ステータスPublished - 2017

All Science Journal Classification (ASJC) codes

  • 代数と数論
  • 内分泌学、糖尿病および代謝内科学
  • 統計学および確率
  • 離散数学と組合せ数学
  • 経営科学およびオペレーションズ リサーチ
  • 制御と最適化
  • 計算数学
  • 応用数学

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