Multiscale modeling

Multiscale modeling

Principles of Multiscale Modeling

Multiscale Modeling of Malaria

Parasitic infectious diseases like malaria and certain hereditary hematologic disorders are often associated with major changes in the shape and viscoelastic properties of red blood cells. Such changes can disrupt blood flow and, possibly, brain perfusion, as in the case of cerebral malaria. In recent work on stochastic multiscale models—in conjunction with large-scale parallel computing—we wer...

Multiscale Angiogenesis Modeling

We propose a deterministic two-scale tissue-cellular approach for modeling growth factor-induced angiogenesis. The bioreaction and diffusion of capillary growth factors (CGF) are modeled at a tissue scale, whereas capillary extension, branching and anastomosis are modeled at a cellular scale. The capillary indicator function is used to bridge these two scales. To solve the equation system numer...

Multiscale Spatial Modeling