title: Multiscale modelling of palisade formation in gliobastoma multiforme.
abstract: Palisades are characteristic tissue aberrations that arise in glioblastomas. Observation of palisades is considered as a clinical indicator of the transition from a noninvasive to an invasive tumour. In this paper we propose a computational model to study the influence of the hypoxic switch in palisade formation. For this we produced three-dimensional realistic simulations, based on a multiscale hybrid model, coupling the evolution of tumour cells and the oxygen diffusion in tissue, that depict the shape of palisades during its formation. Our results can be summarized as follows: (1) the presented simulations can provide clinicians and biologists with a better understanding of three-dimensional structure of palisades as well as of glioblastomas growth dynamics; (2) we show that heterogeneity in cell response to hypoxia is a relevant factor in palisade and pseudopalisade formation; (3) we show how selective processes based on the hypoxia switch influence the tumour proliferation.
authors.affiliation: Weierstrass Institute for Applied Analyis and Stochastics (WIAS) Leibniz Institut im Forschungsverbund Berlin e.V., Berlin, Germany. Electronic address: caiazzo@wias-berlin.de.
authors.forename: Alfonso
authors.initials: A
authors.lastname: Caiazzo
authors.affiliation: Universidad de Castilla la Mancha, Departamento de Matemáticas, Facultad de Educación, Cuenca, Spain. Electronic address: ignacio.ramis@uclm.es.
authors.forename: Ignacio
authors.initials: I
authors.lastname: Ramis-Conde
mesh_terms: D002450:Cell Communication / Q000502:physiology; D020342:Finite Element Analysis; D005838:Genotype; D005909:Glioblastoma / Q000098:blood supply / Q000235:genetics / Q000378:metabolism / Q000473:pathology*; D006801:Humans; D008954:Models, Biological; D009361:Neoplasm Invasiveness; D009389:Neovascularization, Pathologic / Q000378:metabolism / Q000473:pathology; D010101:Oxygen Consumption / Q000502:physiology; D010641:Phenotype
keywords: Finite elements; Force-based; Glioblastoma; Multiscale hybrid modelling; Palisades