Mathematical analysis of Glioblastoma invasion models from in vitro experiment

Akisato Kubo, Yuto Miyata

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)62-68
Number of pages7
JournalWSEAS Transactions on Mathematics
Volume16
Publication statusPublished - 01-01-2017

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Invasion
Glioblastoma
Mathematical Analysis
Theoretical Models
Mathematical Model
Mathematical models
Experiment
Experiments
Cell Motility
Computer Simulation
Motility
Cell Movement
Collagen
Cell
Continuum Model
Gels
Model
Biased
Irregular
Tumors

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Mathematical analysis of Glioblastoma invasion models from in vitro experiment. / Kubo, Akisato; Miyata, Yuto.

In: WSEAS Transactions on Mathematics, Vol. 16, 01.01.2017, p. 62-68.

Research output: Contribution to journalArticle

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