Computational hemodynamics

At WIAS, we improve methods in computational hemodynamics and develop methods for optimal design and fluid-structure interaction problems in order to
  • enhance the understanding of blood physiology and pathological circulation dynamics,
  • allow efficient patient-specific blood flow simulations, e.g. for therapy planning,
  • estimate vessel parameters by data assimilation,
  • optimally design cardiovascular implants.

Data assimilation in one-dimensional networks

Simulated blood flow in the aorta

Mathematical modelling of tissues

The blood flow dynamics in the human heart depends highly on the deformation of the surrounding materials as for instance the heart muscle, elastic vessels, the pericardium etc. In connection with fluid-structure interaction as well as multiscale modelling and cancer research, we investigate
  • effects of calcium release and transport in cardiac muscles,
  • non-invasive estimation techniques of elastic tissue properties,
  • modelling, analysis and simulation of contact phenomena in the pericardium,
  • tumour growth and vascularization.