The subject of this work is the development and implementation of algorithms which
accelerate the simulation of early stage tumor growth models. Among the different …

Diffusion on a spherical surface with trapping is a common phenomenon in cell biology and
porous systems. In this paper, we study the diffusion dynamics in a branched spherical …

Cancer arises from a series of mutations manifested in phenotypic changes of both the cells
and the local tissue structure. At the stage of an in situ tumor or neoplasia, a pre-state on the …

Vascular network dynamics has crucial impact on vertebrate physiology and numerous
diseases are indicated by its malfunctioning. As a consequence, there is a high demand for …

We study in silico the influence of host tissue inhomogeneity on tumor cell proliferation and
diffusion by simulating the mobility of a tumor on percolation clusters with different …

Anomalous diffusions on classical structures, like the comb structure where the branches are
perpendicular to the straight backbone, have been studied by many researchers. However …

In order to establish a predictive model for in-vivo tumor growth and therapy, a multiscale
model has to be set-up and calibrated individually in a stepwise process to a targeted cell …

Solid tumor survives by the process of angiogenesis. In this process micro-vessels are
generated around it. Two factors govern this process. One is Tumor Angiogenic Factor (TAF) …

The vascular endothelial growth factor (VEGF) is known as one of the main promoter of
angiogenesis-the process of blood vessel formation. Angiogenesis has been recognized as …

Dynamic contrast-enhanced (DCE) perfusion imaging has shown great potential to non-
invasively assess cancer development and its treatment by their characteristic tissue …