12 - Coupling bulk-surface models for cell migration
A typical example of the application of the evolving surface finite element method when solving partial differential equations of reaction-diffusion type on an evolving closed surface representing an evolving tumour. The evolving surface finite element is a powerful numerical method for approximating numerical solutions of systems of partial differential equations routinely encounter in cell biology where for example, the cell surface is continuously evolving. Here we exhibit how the tumour is evolving where the surface evolution law is driven by chemical concentrations.
Project description: This research seeks to develop new integrative mathematical and computational life-time models describing the biochemical and biomechanical properties of single cell migration at different scales and locations. Our aim is to couple interior and surface biochemical and biomechanical dynamics, membrane shape forces and protein-driven cell motion (MPI, UDE, UMA). We will link models within the bulk of the cell surface (interior of the cell) to models posed only on the cell surface. The computational tools will then be used to validate experimental observations, inform experimental manipulations (UKA, JUELICH, KNAW,WEIZMANN, MPI, UDE) as well as to suggest further model refinement where necessary(UMA). The expected results will be to form integrative mathematical and computational models describing the biochemical and biomechanical properties of single cell migration, development of bulk-surface finite element methods for parabolic partial differential equations to model continuously migrating cells and mathematical and numerical analysis of the models.
Last update: 28.05.2018
Advanced cell migration assays (P1)
Chemotaxis and 2D/3D Migration (P2)
Analysis of keratin dynamics during migration (P3)
Impact of keratin network regulation on migrating cells (P4)
Correlation analyses of migration structure components and front-rear interplay (P5)
Life cycle analysis of actin, focal adhesions and force measurements (P6)
Monitoring of cancer cell migration in living animals (P7)
Principles of the filopodia structure, dynamics and mechanics (P8)
Mechanisms of downstream signalling from the Rho GTPase network to
cell morphogenesis and cell motility (P9)
Real-time tracking of keratinocyte migration and analysis of cell membrane shape changes (P10)
Image analysis of integrated cytoskeletal network dynamics (P11)
Coupling bulk-surface models for cell migration (P12)
Shaping membranes and actin fibres by forces (P13)
Integrating shape change models and imaging – inverse problem solving and model validation (P14)
Understanding spatio-temporal dynamics of the cytosol network during cell migration (P15)
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 642866.