Mathematical Models of Avascular Tumor Growth

By Tiina Roose, S. Chapman, Philip K. Maini. SIAM Review, 2007

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On the foundations of cancer modelling: Selected topics, speculations, and perspectives (2008, background): “1 of the paper by Roose, Chapman and Maini.(170) The importance of examining the genetic mutations in cancer development is emphasised in Hanahan and Weinberg’s landmark paper,(102) The Hallmarks of Cancer.”
Cancer Evolution: Mathematical Models and Computational Inference (2014, background): “Many authors have studied avascular tumor growth to elucidate the role of nutrient flux and necrotic signaling during early tumor growth (Roose et al. 2007).”
Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method. (2008, background): “More complete references in the excellent recent reviews of tumor growth modeling can be found in Araujo and McElwain (2004), Hatzikirou et al. (2005), Quaranta et al. (2005), Byrne et al. (2006), Graziano and Preziosi (2007), and Roose et al. (2007).”
Interactions Between the Immune System and Cancer: A Brief Review of Non-spatial Mathematical Models (2011, background): “There are many existing reviews of mathematical models of tumor growth and tumor-immune system interactions (Araujo and McElwain 2004; Bellomo and Preziosi 2000; Bellomo et al. 2008; Byrne et al. 2006; Martins et al. 2007; Nagy 2005; Roose et al. 2007; Chaplain 2008).”