Boundary Integral Method for Blood in Motion

The scientific challenge in subproject iii of the CvB High-Potential project “Blood in motion” is to formulate a mathematical description that takes into consideration the nearly incompressible and elastic properties of the red blood cells with respect to shearing and bending deformations induced by the flow. The stress jump over the interface in the boundary integral method needs to be reformulated to include, next to capillary and Marangoni forces, the bending stresses associated with the mechanical properties of the red blood cells. Many similarities exist between flow problems dealing with red blood cells and polymer drops of very high viscosities with surfactants on them; a subject which has been a main topic in Polymer Technology during the last decade. A great challenge in this particular part of the project is to deal with large flow-induced deformations of blood cells, since the velocity essentially follows from an integral representation of the surface, which is complex and highly curved.