Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth

Author:

Hawkins-Daarud Andrea,Prudhomme Serge,van der Zee Kristoffer G.,Oden J. Tinsley

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modeling and Simulation

Reference40 articles.

1. Adams BM, Bohnhoff WJ, Dalbey KR, Eddy JP, Eldred MS, Gay DM, Haskell K, Hough PD, Swiler LP (2009) DAKOTA, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis: version 5.0 user’s manual. Tech Rep SAND2010-2183, Sandia National Laboratory

2. Amar MB, Chatelain C, Ciarletta P (2011) Contour instabilities in early tumor growth models. Phys Rev Lett 106:148101

3. Ambrosi D, Mollica F (2002) On the mechanics of a growing tumor. Int J Eng Sci 40(12):1297–1316

4. Ambrosi D, Preziosi L (2002) On the closure of mass balance models for tumor growth. Math Models Methods Appl Sci 12(5):737–754

5. Anderson ARA, Chaplain MAJ (1998) Continuous and discrete models of tumor-induced angiogenesis. Bull Math Biol 60:857–899

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