TY - JOUR
T1 - Density-dependent quiescence in glioma invasion
T2 - Instability in a simple reaction-diffusion model for the migration/proliferation dichotomy
AU - Pham, Kara
AU - Chauviere, Arnaud
AU - Hatzikirou, Haralambos
AU - Li, Xiangrong
AU - Byrne, Helen M.
AU - Cristini, Vittorio
AU - Lowengrub, John
PY - 2012/5
Y1 - 2012/5
N2 - Gliomas are very aggressive brain tumours, in which tumour cells gain the ability to penetrate the surrounding normal tissue. The invasion mechanisms of this type of tumour remain to be elucidated. Our work is motivated by the migration/proliferation dichotomy (go-or-grow) hypothesis, i.e. the antagonistic migratory and proliferating cellular behaviours in a cell population, which may play a central role in these tumours. In this paper, we formulate a simple go-or-grow model to investigate the dynamics of a population of glioma cells for which the switch from a migratory to a proliferating phenotype (and vice versa) depends on the local cell density. The model consists of two reaction-diffusion equations describing cell migration, proliferation and a phenotypic switch. We use a combination of numerical and analytical techniques to characterize the development of spatio-temporal instabilities and travelling wave solutions generated by our model. We demonstrate that the density-dependent go-or-grow mechanism can produce complex dynamics similar to those associated with tumour heterogeneity and invasion.
AB - Gliomas are very aggressive brain tumours, in which tumour cells gain the ability to penetrate the surrounding normal tissue. The invasion mechanisms of this type of tumour remain to be elucidated. Our work is motivated by the migration/proliferation dichotomy (go-or-grow) hypothesis, i.e. the antagonistic migratory and proliferating cellular behaviours in a cell population, which may play a central role in these tumours. In this paper, we formulate a simple go-or-grow model to investigate the dynamics of a population of glioma cells for which the switch from a migratory to a proliferating phenotype (and vice versa) depends on the local cell density. The model consists of two reaction-diffusion equations describing cell migration, proliferation and a phenotypic switch. We use a combination of numerical and analytical techniques to characterize the development of spatio-temporal instabilities and travelling wave solutions generated by our model. We demonstrate that the density-dependent go-or-grow mechanism can produce complex dynamics similar to those associated with tumour heterogeneity and invasion.
KW - cell migration/proliferation
KW - diffusion-driven instability
KW - go-or-grow
KW - spatio-temporal heterogeneity
KW - travelling wave solutions
KW - tumour invasion
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U2 - 10.1080/17513758.2011.590610
DO - 10.1080/17513758.2011.590610
M3 - Article
C2 - 22873675
AN - SCOPUS:84860807698
VL - 6
SP - 54
EP - 71
JO - Journal of Biological Dynamics
JF - Journal of Biological Dynamics
SN - 1751-3758
IS - SUPPL. 1
ER -