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Cancer Modeling

Collaborators:  Zahra Aminzare (Rutgers University)
                        Jana L. Gevertz (The College of New Jersey)
                        Kerri-Ann Norton (Johns Hopkins University)
                        Judith Perez-Velazquez (Helmholtz Zentrum München)
                        Katarzyna A. Rejniak (Moffitt Cancer Center)

This project on tumor growth arose from a WhAM! Workshop for Women in Applied Math at the IMA in the fall of 2014. Using a hybrid discrete-continuous spatial model that takes into account the diffusion of drug and oxygen from blood vessels on a fixed domain, we explore tumor behavior under two conditions: pre-existing drug resistance that is native to certain cells or emergent drug resistance that appears as a result of drug treatment. We find that the presence of a microenvironmental niche (sufficient oxygen, low drug) has a strong impact on tumor behavior and treatment outcome under the assumption of acquired resistance.

JL Gevertz, Z Aminzare, KA Norton, J Perez-Velazquez, A Volkening, KA Rejniak. "Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model" in "Applications of Dynamical Systems in Biology and Medicine", edited by A Radunskaya and T Jackson, IMA Volumes in Mathematics and its Applications, vol. 158, Springer-Verlag.

 

Alexandria Volkening - Last updated August 23, 2016