SofTMech is an EPSRC centre for Multiscale Soft Tissue Mechanics with applications to heart and cancer. The Centre works towards the formulation of a generic mathematical multiscale framework for soft-tissue modelling that will offer a common language in which a wide range of physiological structures, interactions and processes can be portrayed. It will be designed to provide a standard for integration with available models used by the in silico community. For example, it will integrate with the EPSRC MultiSim multiscale musculoskeletal simulation framework being developed by SofTMech partner Insigneo, and it will be validated in the two highest-mortality clinical areas of cardiac disease and cancer. The centre is one of the five EPSRC-funded UK Centres for Mathematical Sciences in Healthcare.