Modelling biological invasions: Individual to population scales at interfaces
KAUST Grant NumberKUK-C1-013-04
Permanent link to this recordhttp://hdl.handle.net/10754/598867
MetadataShow full item record
AbstractExtracting the population level behaviour of biological systems from that of the individual is critical in understanding dynamics across multiple scales and thus has been the subject of numerous investigations. Here, the influence of spatial heterogeneity in such contexts is explored for interfaces with a separation of the length scales characterising the individual and the interface, a situation that can arise in applications involving cellular modelling. As an illustrative example, we consider cell movement between white and grey matter in the brain which may be relevant in considering the invasive dynamics of glioma. We show that while one can safely neglect intrinsic noise, at least when considering glioma cell invasion, profound differences in population behaviours emerge in the presence of interfaces with only subtle alterations in the dynamics at the individual level. Transport driven by local cell sensing generates predictions of cell accumulations along interfaces where cell motility changes. This behaviour is not predicted with the commonly used Fickian diffusion transport model, but can be extracted from preliminary observations of specific cell lines in recent, novel, cryo-imaging. Consequently, these findings suggest a need to consider the impact of individual behaviour, spatial heterogeneity and especially interfaces in experimental and modelling frameworks of cellular dynamics, for instance in the characterisation of glioma cell motility. © 2013 Elsevier Ltd.
CitationBelmonte-Beitia J, Woolley TE, Scott JG, Maini PK, Gaffney EA (2013) Modelling biological invasions: Individual to population scales at interfaces. Journal of Theoretical Biology 334: 1–12. Available: http://dx.doi.org/10.1016/j.jtbi.2013.05.033.
SponsorsJ.B.-B. would like to thank the Centre for Mathematical Biology, Mathematical Institute, Oxford for hospitality during his visit. J.B.-B. is partially supported by grants JC2010-0256BELMONTE (Ministerio de Educación, Spain) MTM2009-13832 (Ministerio de Educación y Ciencia, Spain), MTM2012-31073 (Ministerio de Economía y Competitividad, Spain) and 0118011801 (Universidad de Castilla-La Mancha). This publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We are grateful to an anonymous referee whose remarks were integrated into the final version of the discussion.
JournalJournal of Theoretical Biology
CollectionsPublications Acknowledging KAUST Support
- Identification of intrinsic in vitro cellular mechanisms for glioma invasion.
- Authors: Tektonidis M, Hatzikirou H, Chauvière A, Simon M, Schaller K, Deutsch A
- Issue date: 2011 Oct 21
- Mathematical modelling of glioma growth: the use of Diffusion Tensor Imaging (DTI) data to predict the anisotropic pathways of cancer invasion.
- Authors: Painter KJ, Hillen T
- Issue date: 2013 Apr 21
- A quantitative model for differential motility of gliomas in grey and white matter.
- Authors: Swanson KR, Alvord EC Jr, Murray JD
- Issue date: 2000 Oct
- Hybrid mathematical model of glioma progression.
- Authors: Tanaka ML, Debinski W, Puri IK
- Issue date: 2009 Oct
- Extrapolating glioma invasion margin in brain magnetic resonance images: suggesting new irradiation margins.
- Authors: Konukoglu E, Clatz O, Bondiau PY, Delingette H, Ayache N
- Issue date: 2010 Apr