Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method

Xiaoming Zheng, Steven M. Wise, Vittorio Cristini

Type: Article

Publication Date: 2004-09-14

Citations: 240

DOI: https://doi.org/10.1016/j.bulm.2004.08.001

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Locations

Bulletin of Mathematical Biology - View
PubMed - View

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Works Cited by This (25)

Action	Title	Year	Authors
+	Mathematical Modelling of Tissue Invasion	2003	Mark A. J. Chaplain Alexander R.A. Anderson
+	<i>Analysis of Numerical Methods</i>	1967	Eugene Isaacson Herbert B. Keller George H. Weiss
+	Runge-Kutta discontinuous Galerkin methods for convection-dominated problems	2000	Bernardo Cockburn Chi‐Wang Shu
+	Cancer Modelling and Simulation	2003	Luigi Preziosi
+	A reaction-diffusion model of cancer invasion.	1996	Robert A. Gatenby E. T. Gawlinski
+	Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development	1996	Mark A. J. Chaplain
+	Fractional step methods applied to a chemotaxis model	2000	Rebecca C. Tyson L. G. Stern Randall J. LeVeque
+ PDF Chat	Analysis of a mathematical model for the growth of tumors	1999	Avner Friedman Fernando Reitich
+	Riemann Solvers, the Entropy Condition, and Difference	1984	Stanley Osher
+	On the mechanics of a growing tumor	2002	D. Ambrosi Francesco Mollica