Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies

摘要: The aim of this paper is to investigate the conditions required optimize amount chemotherapeutic drug absorbed by a solid tumour through network blood vessels. This work based on study vascular networks generated from discrete mathematical model angiogenesis, which describes formation capillary in response chemical stimuli released tumour. Simulations flow vasculature connecting parent vessel are then performed adapting modelling techniques field petroleum engineering biomedical application We begin with qualitative, comparative relating efficiency delivery 2D and 3D tumour-induced vasculatures evaluate influence key parameters (mean radius, viscosity regime) upon uptake go examine impact architecture nutrient (e.g., oxygen) comparing three characterized different spatial distributions branching order anastomosis density (i.e., number fused loops or connections). identify main criteria for optimized nutrients and/or cytotoxic agents. conclude focusing particular how ''capillary pruning'' re-modelling) modifies connectivity associated distribution. demonstrate random removal vessels may lead significant increase delivered Selective low seen speed up delivery, whilst targeting high capillaries leads rapid shut down entire bed. These results allow us propose possibility cancer treatment therapies, coupled anti-angiogenic/chemotherapy strategy-the anti-angiogenesis would be used efficiency, thereby maximizing during subsequent chemotherapy treatments.