Thomas Lorenz, Christina Surulescu

• The aim is to prove global existence and uniqueness of square integrable solutions to a class of multiscale models for tumour cell migration involving chemotaxis, haptotaxis, and subcellular dynamics. This approach allows the tissue fibre and cell densities as well as concentrations of chemotactic signals to be less regular and the conditions sufficient for well-posedness of the multiscale model to be less restrictive than in previous settings.