Publications

J.S. Lowengrub and P. Macklin, A Centimeter-Scale Nonlinear Model of Tumor Growth in Complex, Heterogeneous Tissues, J. Math. Biol., 2007. (in preparation).

P. Macklin, S.R. McDougall, A.R.A. Anderson, M. Chaplain, J. Lowengrub, and V. Cristini, Nonlinear simulation of the effects of tumor growth on neovascular remodeling, Bull. Math. Biol., 2007. (in preparation).

P. Macklin and J.S. Lowengrub, A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth, J. Sci. Comput., 2007. (in review).
[PDF: 667.0 KB] · [BibTeX Citation]

H.B. Frieboes, J.S. Lowengrub, S. Wise, X. Zheng, P. Macklin, E.L. Bearer, and V. Cristini, Computer Simulation of Glioma Growth and Morphology, NeuroImage, 37(S1):S59-S70, 2007. doi: 10.1016/j.neuroimage.2007.03.008.
[PDF: 627.0 KB] · [BibTeX Citation] · [DOI link] · [Abstract]

P. Macklin, Toward Computational Oncology: Nonlinear Simulation of Centimeter-Scale Tumor Growth in Complex, Heterogeneous Tissues, Ph.D. Dissertation, University of California, Irvine Department of Mathematics, 2007.
[PDF: 4.4 MB] · [BibTeX Citation] · [Abstract]

P. Macklin and J.S. Lowengrub, Nonlinear simulation of the effect of microenvironment on tumor growth, J. Theor. Biol., 245(4):677-704, 2007. doi: 10.1016/j.jtbi.2006.12.004.
[PDF: 1.8 MB] · [BibTeX Citation] · [DOI link] · [Abstract]

P. Macklin and J.S. Lowengrub, An improved geometry-aware curvature discretization for level set methods: application to tumor growth, J. Comput. Phys., 215(2):392-401, 2006. doi: 10.1016/j.jcp.2005.11.016.
[PDF: 302.0 KB] · [BibTeX Citation] · [DOI link] · [Abstract]

P. Macklin and J.S. Lowengrub, Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth, J. Comput. Phys., 203(1):191-220, 2005. doi: 10.1016/j.jcp.2004.08.010.
[PDF: 1.1 MB] · [BibTeX Citation] · [DOI link] · [Abstract]

P. Macklin, Nonlinear Simulation of Tumor Growth and Chemotherapy, M.S. Thesis, University of Minnesota School of Mathematics, 2003.
[PDF: 710.0 KB] · [BibTeX Citation] · [Abstract]