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[01172] Spatio-structural partial differential equation (PDE) modelling for single-cell cancer data

  • Session Time & Room : 2D (Aug.22, 15:30-17:10) @E709
  • Type : Contributed Talk
  • Abstract : Melanoma routinely develops resistance to targeted therapies, leading to unfavourable prognosis for patients. We introduce a novel approach to modelling single-cell RNA-seq data obtained from melanoma tumours, using partial differential equations (PDEs) to represent the tumour as a spatio-structural population. We show how non-spatial data can be used to predict spatially heterogeneous distributions of cell types, within the tumour, and explore combination therapies and treatment strategies to overcome traditional patterns of resistance.
  • Classification : 35Q92, 37N25, 62P10, 92-10, 35G20, Mathematical Oncology, PDEs
  • Author(s) :
    • Arran Hodgkinson (Queen's University Belfast)
    • Arran Hodgkinson (Queen's University Belfast)
    • Dumitru Trucu (University of Dundee)
    • Matthieu Lacroix (Institut de Recherche en Cancerologie de Montpellier)
    • Laurent Le Cam (Institut de Recherche en Cancerologie de Montpellier)
    • Ovidiu Radulescu (Universite de Montpellier)