An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
نویسندگان
چکیده
منابع مشابه
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
In this paper we give the details of the numerical solution of a three-dimensional multispecies diffuse interface model of tumor growth, which was derived in (Wise et al., J. Theor. Biol. 253 (2008)) and used to study the development of glioma in (Frieboes et al., NeuroImage 37 (2007) and tumor invasion in (Bearer et al., Cancer Research, 69 (2009)) and (Frieboes et al., J. Theor. Biol. 264 (20...
متن کاملSimulating Solid Tumor Growth Using Multigrid Algorithms
In mathematical cancer modeling, the growth of solid tumors combines the mechanics of cell-cell adhesion, cell growth velocity and angiogenesis amongst numerous others. This project simulates solid tumoral growth with the use of a coupled system of Cahn-Hilliard-type convection-reaction-diffusion equations. This mathematical model uses a two-cellular tumoral structure of viable, or proliferatin...
متن کاملModel Selection for Mixture Models Using Perfect Sample
We have considered a perfect sample method for model selection of finite mixture models with either known (fixed) or unknown number of components which can be applied in the most general setting with assumptions on the relation between the rival models and the true distribution. It is, both, one or neither to be well-specified or mis-specified, they may be nested or non-nested. We consider mixt...
متن کاملTracking colour objects using adaptive mixture models
The use of adaptive Gaussian mixtures to model the colour distributions of objects is described. These models are used to perform robust, real-time tracking under varying illumination, viewing geometry and camera parameters. Observed log-likelihood measurements were used to perform selective adaptation. 1999 Elsevier Science B.V. All rights reserved.
متن کاملSMEM Algorithm for Mixture Models
We present a split-and-merge expectation-maximization (SMEM) algorithm to overcome the local maxima problem in parameter estimation of finite mixture models. In the case of mixture models, local maxima often involve having too many components of a mixture model in one part of the space and too few in another, widely separated part of the space. To escape from such configurations, we repeatedly ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2011
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2010.07.007