Core 1: Biomathematics Core

The core will provide mathematical tools to model and predict the behavior of small molecules and nano-sized particulate systems in terms of (i) transport dynamics within the authentic patient-specific vasculature accounting for the specific/non-specific adhesive interactions with the vascular endothelium and for the permeability of the vessel walls to both plasma and blood-borne agents; (ii) extravasation from the vascular compartment to the extravascular matrix through active (transcytosis) and passive (intravascular gaps) mechanisms; (iii) transport across the extravascular matrix and distribution within the tumor microenvironment; (iv) control of the tumor growth and angiogenic response; and (v) heat generation through remote RF/NIR activation with modeling of thermal cell damage and apoptosis.

Figure 1: Parameters for the model of drug delivery into tumor cells considers various volume areas inside and outside of the cells as "compartments" where the drug may be accumulated.