Mathematical and Computational Modeling: Towards the Development and Application of Nanodevices for Drug Delivery

Abstract

The sections in this article are Introduction RES Avoidance A Statistical Model of Nanovector Surface Coverage Modeling the Forces Mediating Protein Approach and Binding Tumoral Vasculature and Hemodynamics An Invasion Percolation Model of Vasculogenesis and Hemodynamics Flow Simulations Using Anderson and Chaplain's Model Particle Dynamics within the Tumoral Vasculature Receptor–Ligand‐mediated Binding Bell's Deterministic Model A Stochastic Model Intratumoral and Cellular Drug Kinetics and Pharmacodynamics A Two‐Dimensional Model of Chemotherapy Refinements of the Model Conclusion

Modeling of Nanotherapy Response as a Function of the Tumor Microenvironment: Focus on Liver Metastasis

“…More recently, approaches that consider information from different physical scales and perspectives, and that are able to integrate the associated information into a coherent picture, have been pursued. These approaches include the combination of experimentation with mathematical modeling and computational simulation (Frieboes et al, 2006(Frieboes et al, , 2012(Frieboes et al, , 2019Sanga et al, 2007;Sinek et al, 2007;Brocato et al, 2018;Dogra et al, 2019).…”