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Biosci.}, Owner = {damiano}, Pages = {213-227}, Timestamp = {}, Title = {A mathematical model of tumor growth: III. Comparison with experiments}, Volume = {86}, Year = {1987}} @article{Adam_4, Author = {Adam, J.A. and Maggelakis, S.A.}, Journal = {Math. Biosci.}, Owner = {damiano}, Pages = {121-136}, Timestamp = {}, Title = {A mathematical model of tumor growth: IV. Effect of a necrotic core}, Volume = {97}, Year = {1989}} @article{Alarcon_1, Author = {Alarc\'{o}n, T. and Byrne, H. and Maini, P.K.}, Journal = {J.Theor. Bio}, Owner = {damiano}, Pages = {257-274}, Timestamp = {}, Title = {A cellular automaton model for tumor growth in inhomogeneous environment}, Volume = {225}, Year = {2003}} @article{Alarcon_2, Author = {Alarc\'{o}n, T. and Byrne, H. and Maini, P.K.}, Journal = {Multiscale Model. Simul.}, Owner = {damiano}, Pages = {440-475}, Timestamp = {}, Title = {A multiple scale model for tumor growth}, Volume = {3}, Year = {2005}} @article{BenAmar, Author = {Ben Amar, M and Goriely, A.}, Journal = {J.Mech. Phys.Solids}, Owner = {damiano}, Pages = {2284-2319}, Timestamp = {}, Title = {Growth and instability in soft tissues}, Volume = {53}, Year = {2005}} @article{Ambrosi_1, Author = {Ambrosi, D.}, Journal = {SIAM J. Appl. Math.}, Owner = {damiano}, Pages = {2049-2060}, Timestamp = {}, Title = {Cellular traction as an inverse problem}, Volume = {66}, Year = {2006}} @article{Ambrosi_2, Author = {Ambrosi, D. and Bussolino, F. and Preziosi, L.}, Journal = {Comput. Math. Methods Med.}, Owner = {damiano}, Pages = {1-19}, Timestamp = {}, Title = {A review of vasculogenesis models}, Volume = {6}, Year = {2005}} @article{Ambrosi_3, Author = {Ambrosi, D. and Duperray, A. and Peschetola, V. and Verdier, C.}, Journal = {J. Math. Biol}, Owner = {damiano}, Pages = {163-181}, Timestamp = {}, Title = {Traction pattern of tumor cells}, Volume = {58}, Year = {2009}} @article{Ambrosi_4, Author = {Ambrosi, D. and Guana, F.}, Journal = {Math. Mech. Solids}, Owner = {damiano}, Pages = {319-343}, Timestamp = {}, Title = {Stress-modulated gorwth}, Volume = {12}, Year = {2007}} @article{Ambrosi_5, Author = {Ambrosi, D and Mollica, F.}, Journal = {J. Math. Biol.}, Owner = {damiano}, Pages = {477-499}, Timestamp = {}, Title = {The role of stress in the growth of a multicellular spheroid}, Volume = {48}, Year = {2004}} @article{Ambrosi_6, Author = {Ambrosi, D and Preziosi, L.}, Journal = {Math. Models Methods Appl. Sci.}, Owner = {damiano}, Pages = {734-754}, Timestamp = {}, Title = {On the closure of mass balance models for tumor growth}, Volume = {12}, Year = {2002}} @article{Ambrosi_7, Author = {Ambrosi, D. and Preziosi, L.}, Journal = {Mech. Model. Mechanobiol.}, Owner = {damiano}, Pages = {397-413}, Timestamp = {}, Title = {Cell adhesion mechanisms and elasto-viscoplastic mechanics of tumors}, Volume = {8}, Year = {2009}} @article{Anderson_1, Author = {Anderson, A.R.A.}, Journal = {Math. Med. Biol.}, Owner = {damiano}, Pages = {163-166}, Timestamp = {}, Title = {A hybrid mathematical model of solid tumor invasion: the importance of cell adhesion}, Volume = {22}, Year = {2005}} @article{Anderson_2, Author = {Anderson, A.R.A. and Chaplain, M. and Rejniak, K. and Fozard, J.}, Journal = {Math. Med. Biol.}, Owner = {damiano}, Pages = {185-186}, Timestamp = {}, Title = {Single-cell based models in biology and medicine}, Volume = {25}, Year = {2008}} @article{Anderson_3, Author = {Anderson, A.R.A. and Chaplain, M.}, Journal = {Bull. Math. 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Med.}, Owner = {damiano}, Pages = {111-136}, Timestamp = {}, Title = {Multiscale modeling and mathematical problems related to tumor evolution and medical therapy}, Volume = {5}, Year = {2003}} @article{Bellomo_3, Author = {Bellomo, N. and Li, N.K. and Maini, P.K.}, Journal = {Math. Models Methods Appl. Sci.}, Owner = {damiano}, Pages = {593-646}, Timestamp = {}, Title = {On the foundations of cancer modelling: selected topics, speculations, and perspectives}, Volume = {4}, Year = {2008}} @article{Bellomo_4, Author = {Bellomo, N. and Preziosi, L.}, Journal = {Math. Comput. Modelling}, Owner = {damiano}, Pages = {413-542}, Timestamp = {}, Title = {Modelling and mathematical problems related to tumor evolution and its interaction with the immune system}, Volume = {32}, Year = {2000}} @article{Bertuzzi_1, Author = {Bertuzzi, A. and Fasano, A. and Gandolfi, A.}, Journal = {Math. Models Methods Appl. 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Models}, Owner = {damiano}, Pages = {533-545}, Timestamp = {}, Title = {Mathematical modelling of cancer cell invasion of tissue}, Volume = {47}, Year = {2008}} @article{Rejniak_1, Author = {Rejniak K.}, Journal = {Math. Biosci. Eng.}, Owner = {damiano}, Pages = {643-655}, Timestamp = {}, Title = {A single-cell approach in modeling the dynamics of tumor microregions}, Volume = {2}, Year = {2005}} @article{Rejniak_2, Author = {Rejniak, K.}, Journal = {J. Theor. Biol.}, Owner = {damiano}, Pages = {186-204}, Timestamp = {}, Title = {An immersed boundary framework for modeling the growth of individual cells: an application to early tumor development}, Volume = {247}, Year = {2007}} @article{Ribba_1, Author = {Ribba, B. and Colin, T. and Schnell, S.}, Journal = {Theor. Biol. Med. Modelling}, Owner = {damiano}, Pages = {7}, Timestamp = {}, Title = {A multiscale mathematical model of cancer, and its use in analizing irradiation therapies}, Volume = {3}, Year = {2006}} @article{Ribba_2, Author = {Ribba, B. and Saut, O. and Colin, T. and Bresch, D. and Grenier, E. and Boissel, J.P.}, Journal = {J. Theor. Biol.}, Owner = {damiano}, Pages = {523-541}, Timestamp = {}, Title = {A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents}, Volume = {243}, Year = {2006}} @article{Ribba_3, Author = {Billy, F. and Ribba, B. and Saut, O. and Morre-Trouilhet, H. and Colin, T. and Bresch, D. and Boissel, J.P. and Grenier, E. and Flandrois, J.P.}, Journal = {J. Theor. 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Sci.}, Owner = {damiano}, Pages = {1-10}, Timestamp = {}, Title = {Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion}, Volume = {216}, Year = {2003}} @article{Swanson_2, Author = {Swanson, K.R. and Alvord, E.C.Jr. and Murray, J.D.}, Journal = {Cell Proliferation}, Owner = {damiano}, Pages = {317-329}, Timestamp = {}, Title = {A quantitative model for differential motility of gliomas in grey and white matter}, Volume = {33}, Year = {2000}} @article{Swanson_3, Author = {Swanson, K.R. and Alvord, E.C.Jr. and Murray, J.D.}, Journal = {Br. J. Cancer}, Owner = {damiano}, Pages = {14-18}, Timestamp = {}, Title = {Virtual brain tumors (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy}, Volume = {86}, Year = {2002}} @article{Swanson_4, Author = {Swanson, K.R. and Alvord, E.C.Jr. and Murray, J.D.}, Journal = {Math. Comput. Model.}, Owner = {damiano}, Pages = {1177-1190}, Timestamp = {}, Title = {Virtual resection of gliomas: effect of extent of resection on recurrence}, Volume = {37}, Year = {2003}} @article{Swanson_5, Author = {Swanson, K.R. and Rostomily, R. and Alvord, E.C.Jr. }, Journal = {Br. J. Cancer}, Owner = {damiano}, Pages = {113-119}, Timestamp = {}, Title = {A mathematical modeling tool for predicting the survival of individual patients following resection of glioblastoma: a proof of principle}, Volume = {98}, Year = {2008}} @article{Szymanska_1, Author = {Szymanska, Z. and Rodrigo, C.M. and Lachowicz, M. and Chaplain, M.A.J.}, Journal = {Math. Models Methods Appl. Sci.}, Owner = {damiano}, Pages = {257-281}, Timestamp = {}, Title = {Mathematical modeling of cancer invasion of tissue: the role and effect of nonlocal interactions}, Volume = {19}, Year = {2009}} %%% T %%% @article{Tao_1, Author = {Tao, Y. and Chen, M.}, Journal = {Nonlinearity}, Owner = {damiano}, Pages = {419-440}, Timestamp = {}, Title = {An elliptic-hyperbolic free boundary problem modeling cancer therapy}, Volume = {19}, Year = {2006}} @article{Tindall_1, Author = {Tindall, M.J. and Please, C.P. and Peddie, M.J.}, Journal = {Math. Biosci.}, Owner = {damiano}, Pages = {34-55}, Timestamp = {}, Title = {Modelling the formation of necrotic regions in avascular tumours}, Volume = {211}, Year = {2008}} @article{Tosin_1, Author = {Tosin, A.}, Journal = {Networks Heterogen. Media}, Owner = {damiano}, Pages = {43-84}, Timestamp = {}, Title = {Multiphase modeling and qualitative analysis of the growth of tumor cords}, Volume = {3}, Year = {2008}} @article{Tosin_2, Author = {Tosin, A. and Ambrosi, D. and Preziosi, L.}, Journal = {Bull. Math. Biol.}, Owner = {damiano}, Pages = {1819-1836}, Timestamp = {}, Title = {Mechanics and chemotaxis in the morphogenesis of vascular networks}, Volume = {68}, Year = {2006}} @article{Turner_1, Author = {Turner, S. and Sherrat, J.A.}, Journal = {J. Theor. Biol.}, Owner = {damiano}, Pages = {85-100}, Timestamp = {}, Title = {Intercellular adhesion and cancer invasion}, Volume = {216}, Year = {2002}} %%% V %%% @article{Venkatasubramanian_1, Author = {Venkatasubramanian, R. and Henson, M.A. and Forbes, N.S.}, Journal = {J. theor. Biol.}, Owner = {damiano}, Pages = {440-453}, Timestamp = {}, Title = {Incorporating energy metabolism into a growth model of multicell spheroids}, Volume = {242}, Year = {2006}} @article{VollmayrLee_1, Author = {Vollmayr-Lee, B.P. and Rutenberg, A.D.}, Journal = {Acta Biomater.}, Owner = {damiano}, Pages = {493-504}, Timestamp = {}, Title = {Stresses in growing soft tissues}, Volume = {2}, Year = {2006}} %%% W %%% @article{Wang_1, Author = {Wang, Z. and Zhang, L. and Sagotsky, J. and Deisboeck, T.S.}, Journal = {Theor. Biol. Med. Model.}, Owner = {damiano}, Pages = {50}, Timestamp = {}, Title = {Simulating non-small cell lung cancer with a multiscale agent-based model}, Volume = {4}, Year = {2007}} @article{Ward_1, Author = {Ward, J.P. and King, J.R.}, Journal = {IMA J. Math. Appl. Med. Biol.}, Owner = {damiano}, Pages = {36-69}, Timestamp = {}, Title = {Mathematical modeling of avascular tumor growth}, Volume = {14}, Year = {1997}} @article{Ward_2, Author = {Ward, J.P. and King, J.R.}, Journal = {}, Owner = {damiano}, Pages = {171-211}, Timestamp = {}, Title = {Mathematical modeling of avascular tumor growth II: modeling growth saturation}, Volume = {16}, Year = {1999}} @article{Ward_3, Author = {Ward, J.P. and King, J.R.}, Journal = {J. Theor. Med.}, Owner = {damiano}, Pages = {155-174}, Timestamp = {}, Title = {Modelling the effect of cell shedding on avascular tumor growth}, Volume = {2}, Year = {2000}} @article{Ward_4, Author = {Ward, J.P. and King, J.R.}, Journal = {Math. Biosci.}, Owner = {damiano}, Pages = {177-207}, Timestamp = {}, Title = {Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures}, Volume = {181}, Year = {2003}} @article{Whitaker_1, Author = {Whitaker, N. and Harrington, H.A. and Maier, M. and Naidoo, L. and Kevrekidis, P.G.}, Journal = {Math. Comput. Modelling}, Owner = {damiano}, Pages = {513-524}, Timestamp = {}, Title = {A hybrid model for tumor-induced angiogenesis in the cornea in the presence of inhibitors}, Volume = {46}, Year = {2007}} @article{Wise_1, Author = {Wise, S.M. and Lowengrub, J.S. and Cristini, V.}, Journal = {J. Math. Comput. Model.}, Owner = {damiano}, Pages = {1-20}, Timestamp = {}, Title = {An adaptive multigrid algorithm for simulating solid tumor growth using mixture models}, Volume = {53}, Year = {2011}} @article{Wise_2, Author = {Wise, S.M. and Lowengrub, J.S. and Frieboes, H.B. and Cristini, V.}, Journal = {J. Theor. 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Biol.}, Owner = {damiano}, Pages = {545-559}, Timestamp = {}, Title = {Multiscale agent-based cancer modeling}, Volume = {58}, Year = {2009}} %%% Section II: Inverse problems and related topics: %%% A %%% @book{Aster_1, author = {Aster, R.C. and Borchers, B. and Thurber, C.H.}, title = {Parameter estimation and inverse problems}, publisher = {Elsevier}, year = {2005}, edition = {1st} } @book{Ayache_1, editor = {Paragios, N. and Duncan, J. and Ayache, N.}, title = {Biomedical Image Analysis: Methodologies and Applications}, publisher = {Springer}, year = {2011}, edition = {1st} } @article{Ayache_2, Author = {Konukoglu, E. and Clatz, O. and Menze, B.H. and Weber, M.A. and Stieltjes, B. and Mandonnet, E. and Delingette, H. and Ayache, N.}, Journal = {IEEE TMI}, Owner = {damiano}, Pages = {77-95}, Timestamp = {}, Title = {Image Guided Personalization of reaction-diffusion type tumor growth model using modified anisotropic eikonal equations}, Volume = {29(1)}, Year = {2010}} @PhdThesis{Ayache_3, author = {Konukoglu, E.}, title = {Modeling glioma growth and personalizing growth models in medical images}, school = {STIC, University of Nice - Sophia Antipolis}, year = {2009}, OPTmonth = {february}, } @article{Atuegwu_1, Author = {Atuegwu, N.C. and Gore, J.C. and Yankeelov, T.E.}, Journal = {Phys. Med. Biol.}, Owner = {damiano}, Pages = {2429-2449}, Timestamp = {}, Title = {The integration of quantitative multi-modality imaging data into mathematical models of tumors}, Volume = {55}, Year = {2010}} %%% B %%% @article{Borggaard_1, Author = {Borggaard, J. and Verma, A.}, Journal = {SIAM J. Sci. Comp.}, Owner = {damiano}, Pages = {39-62}, Timestamp = {}, Title = {On efficient solutions to the continuous sensitivity equation using automatic differentiation}, Volume = {22}, Year = {2000}} %%% E %%% @article{Engelhart_1, Author = {Engelhart, M. and Lebiedz, D. and Sager, S.}, Journal = {Math. Biosci.}, Owner = {damiano}, Pages = {123-134}, Timestamp = {}, Title = {Optimal control for selected cancer chemotherapy ODE models: A view on the potential of optimal schedules and choice of objective function}, Volume = {229}, Year = {2011}} %%% H %%% @article{Hogea_2, Author = {Hogea, C. and Davatsikos, C. and Biros, G.}, Journal = {J. Math. Biol.}, Owner = {damiano}, Pages = {793-825}, Timestamp = {}, Title = {An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effect}, Volume = {56}, Year = {2008}} @book{Lumley_1, author = {Holmes, P. and Lumley, J.L. and Berkooz, G.}, title = {Turbulence, coherent structures, dynamical systems and symmetry}, publisher = {Cambridge University Press}, year = {1996}, edition = {1st} } %%% I %%% @article{Iollo_1, Author = {Bergmann, M. and Bruneau, C.H. and Iollo, A.}, Journal = {Journal of Computational Physics}, Pages = {516-538}, Title = {Enablers for robust POD models}, Volume = {228}, Year = {2009}} @article{Iollo_4, Author = {Iollo, A. and Colin, T. and Lombardi, D. and Saut, O.}, Journal = {To appear in Math. Mod. and Meth. in Appl. Sci.}, Pages = {}, Title = {Inverse Problems in tumor growth modeling by means of semiempirical eigenfunctions}, Volume = {}, Year = {2012}} @article{Iollo_2, Author = {Weller, J. and Lombardi, E. and Iollo, A.}, Journal = {Physica D}, Pages = {416-427}, Title = {Robust model identification of actuated vortex wakes}, Volume = {238}, Year = {2009}} @book{Isakov_1, author = {Isakov, V.}, title = {Inverse problems for partial differential equations}, publisher = {Springer}, year = {2010}, Series = {Applied Mathematical Sciences}, edition = {1st} } %%% K %%% @article{Kaipio_1, Author = {Kaipio, J. and Somersalo, E.}, Journal = {Journal of Computational and Applied Mathematics}, Pages = {493-504}, Title = {Statistical inverse problems: Discretization, model reduction and inverse crimes}, Volume = {198}, Year = {2007}} %%% M %%% @article{Marzouk_1, Author = {Marzouk, Y. M. and Najm, H. N.}, Journal = {Journal of Computational Physics}, Pages = {1862-1902}, Title = {Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems.}, Volume = {228}, Year = {2009}} @article{Meshkat_1, Author = {Meshkat, N. and Eisenberg, M. and DiStefano, J.}, Journal = {Math. Biosci.}, Owner = {damiano}, Pages = {61-72}, Timestamp = {}, Title = {An algorithm for finding globally identifiable parameter combinations of non-linear ODE models using Groebner Bases}, Volume = {222}, Year = {2009}} @article{Moireau_1, Author = {Moireau, P. and Chapelle, D. and Le Tallec, P.}, Journal = {Inv. Problems}, Owner = {damiano}, Pages = {035010}, Timestamp = {}, Title = {Filtering for distributed mechanical systems: perspectives in medical imaging}, Volume = {25}, Year = {2009}} %%% N %%% @book{Nocedal_1, author = {Nocedal, J. and Wright, S.J.}, title = {Numerical Optimization}, publisher = {Springer}, year = {2010}, Series = {Operations Research}, edition = {2nd} } %%% P %%% @article{Powell_1, Author = {Powell, M.}, Journal = {Math. Progr. B}, Owner = {damiano}, Pages = {}, Timestamp = {}, Title = {Unconstrained Optimization by quadratic approximation}, Volume = {92}, Year = {2001}} @article{Perthame_1, Author = {Doumic, M. and Perthame, B. and Zubelli, J.P.}, Journal = {Inverse problems}, Owner = {damiano}, Pages = {045008}, Timestamp = {}, Title = {Numerical Solution of an inverse problem in size-structured population}, Volume = {25}, Year = {2009}} @article{Perthame_2, Author = {Perthame, B. and Zubelli, J.P.}, Journal = {Inverse problems}, Owner = {damiano}, Pages = {045008}, Timestamp = {}, Title = {On the inverse problem for a size structured population model}, Volume = {23}, Year = {2007}} %%% R %%% @article{Rheinboldt_1, Author = {Rheinboldt, W.}, Journal = {SIAM J. Numer. Anal.}, Owner = {damiano}, Pages = {305-320}, Timestamp = {}, Title = {On the sensitivity of solutions of parametrized equations}, Volume = {30}, Year = {1993}} %%% S %%% @article{Sirovich_1, Author = {Sirovich, L.}, Journal = {Contemporary Mathematics}, Pages = {277-305}, Title = {Low dimensional description of complicated phenomena}, Volume = {99}, Year = {1989}} %%% T %%% @article{Tenorio_1, Author = {Tenorio, L.}, Journal = {SIAM Review}, Pages = {347-366}, Title = {Statistical regularization of Inverse Problems}, Volume = {43}, Year = {2001}} @article{Tracqui_1, Author = {Tracqui, P. and Mendjeli, M.}, Journal = {Math. Model. Meth. Appl. Sci.}, Owner = {damiano}, Pages = {581-598}, Timestamp = {}, Title = {Modelling three dimensional growth of brain tumors from time series of scans}, Volume = {9}, Year = {1999}} %%% Z @article{Zhang_3, Author = {Zhang, Y. and Henson, M. A. and Kevrekidis, Y. G.}, Journal = {Chemical engineering science}, Pages = {429-445}, Title = {Nonlinear model reduction for dynamic analysis of cell population models}, Volume = {58}, Year = {2003}} %%% section III: Medical - Biological %%% A %%% @book{Alberts_1, author = {Alberts, B. and Johnson, A. and Lewis, J. and Raff, M.}, title = {Molecular Biology of the Cell}, publisher = {Garland Science, Taylor and Francis}, year = {2008}, edition = {5th edition} } @Incollection{Andreeff_1, author = {Andreeff, M. and Goodrich, D.W. and Koeffler, H.P.}, title = {Cell Proliferation and Differentiation}, booktitle = {Cancer Medicine}, edition = {7th edition}, publisher = {Holland-Frey}, year = {2006} } %%% F %%% @Incollection{Folkman_1, author = {Folkman, J. and Heymach, J. and Kalluri, R.}, title = {Tumor Angiogenesis}, booktitle = {Cancer Medicine}, edition = {7th edition}, publisher = {Holland-Frey}, year = {2006} } %%% K %%% @Incollection{Kohn_1, author = {Khon, E.C.}, title = {Invasion and Metastasis}, booktitle = {Cancer Medicine}, edition = {7th edition}, publisher = {Holland-Frey}, year = {2006} } %%% R %%% @Incollection{Reed_1, author = {Reed, J.C.}, title = {Apoptosis and Cancer}, booktitle = {Cancer Medicine}, edition = {7th edition}, publisher = {Holland-Frey}, year = {2006} } %%% Section IV: Optimal Transport Theory: @TECHREPORT{Ambrosio_1, author = {Ambrosio, L.}, title = {Lecture notes on optimal transport problem}, institution = {Scuola Normale Superiore, Pisa}, year = {2000}, owner = {damiano} } @ARTICLE{Ambrosio_2, author = {Ambrosio, L.}, title = {Evolution problems in spaces of probability measures}, journal = {Physica D}, year = {2010}, volume = {239}, pages = {1446-1452}, owner = {damiano} } @ARTICLE{Santambrogio_1, author = {Maury, B. and Venel, J.}, title = {A Mathematical framework for a crowd motion model}, journal = {Comptes Rendu Mathematiques}, year = {2008}, volume = {346}, pages = {1245-1250}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Brenier_2, author = {Benamou, J.-D. and Brenier, Y.}, title = {A computational fluid mechanics solution to the {Monge}--{Kantorovich} mass transfer problem}, journal = {Numerische Matematik}, year = {2000}, volume = {84}, pages = {375-393}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Brenier_1, author = {Benamou, J.-D. and Brenier, Y. and Guittet, K.}, title = {The {Monge}--{Kantorovitch} mass transfer and its computational fluid mechanics formulation}, journal = {International Journal for Numerical methods in fluids}, year = {2002}, volume = {40}, pages = {21-30}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Brenier_3, author = {Brenier, Y.}, title = {Optimal Transport, Convection, Magnetic Relaxation and Generalized {Boussinesq} equations}, journal = {Journal of NonLinear Science}, year = {2009}, volume = {19}, pages = {547-570}, owner = {damiano}, timestamp = {2009.10.15} } @INPROCEEDINGS{Brenier_4, author = {Brenier, Y.}, title = {Optimal transportation of flows and nonlinear electromagnetism}, booktitle = {ESAIM Proceedings}, year = {2007}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Brenier_5, author = {Brenier, Y.}, title = {Polar factorization and monotone rearrangement of vector--valued functions}, journal = {Communication in Pure and Applied Mathematics}, year = {1991}, volume = {64}, pages = {375-417}, owner = {damiano}, timestamp = {2010.04.19} } @ARTICLE{Haber_2, author = {Haber, E. and Rehmam, T. and Tannenbaum, A.}, title = {An efficient numerical method for the solution of the ${L}^2$ optimal transfer problem}, journal = {SIAM Journal on Scientific Computing}, year = {2010}, volume = {32}, pages = {197-211}, owner = {damiano}, timestamp = {2010.04.19} } @TECHREPORT{Evans_2, author = {Evans, L.C.}, title = {Partial differential equations and {Monge}--{Kantorovich} Mass Transfer}, institution = {University of California, Berkley}, year = {1997}, owner = {damiano}, timestamp = {2009.10.16} } @BOOK{Evans_book, title = {Partial Differential Equations}, publisher = {American Mathematical Society}, year = {1985}, author = {Evans, L.C.}, owner = {damiano}, timestamp = {2010.03.02} } @ARTICLE{Carlier_1, author = {Carlier, G. and Galichon, A. and Santambrogio, F.}, title = {From {Knothe}’s transport to Brenier’s map and a continuation method for optimal transport}, journal = {submitted}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Crasta_2, author = {Crasta, G. and Malusa, A.}, title = {A Variational Approach to the Macroscopic Electrodynamics of Anisotropic Hard Superconductors}, journal = {Archive for Rational Mechanics and Analysis}, year = {2009}, volume = {192}, pages = {87-115}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Crasta_1, author = {Crasta, G. and Malusa, A.}, title = {On a system of partial differential equations of {Monge}--{Kantorovich} type}, journal = {Journal of Differential Equations}, year = {2007}, volume = {235}, pages = {484-509}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Wolansky_1, author = {Wolansky, G.}, title = {On time reversible description of the process of coagulation and fragmentation}, journal = {Archive for Rational Mechanics and Analysis}, year = {2008}, volume = {193}, pages = {57-115}, owner = {damiano}, timestamp = {2009.10.18} } @ARTICLE{Gangbo_2, author = {Gangbo, W.}, title = {An Elementary proof of the Polar Factorization of vector--valued function}, journal = {Archive for Rational Mechanics and Analysis}, year = {1994}, volume = {128}, pages = {381-399}, owner = {damiano}, timestamp = {2010.04.19} } @ARTICLE{Guittet_1, author = {Guittet, K.}, title = {On the time continuous mass transport problem and its approximation by augmented lagrangian techniques}, journal = {SIAM Journal on Numererical Analysis}, year = {2003}, volume = {41}, pages = {382-399}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Feng_1, author = {Feng, J. and Katsoulakis, M.}, title = {A Comparison Principle for {Hamilton}--{Jacobi} Equations Related to Controlled Gradient Flows in Infinite Dimensions}, journal = {Archive for Rational Mechanics and Analysis}, year = {2009}, volume = {192}, pages = {275-310}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Kantorovich_1, author = {Kantorovich, L.V.}, title = {On the transfer of masses}, journal = {Doklady Akademii Nauk SSSR}, year = {1942}, volume = {37}, pages = {227-229}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Koumoutsakos_1, author = {Koumoutsakos, P.}, title = {Multiscale flow simulation using particles}, journal = {Ann. 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Fluid Mechanics}, year = {2005}, volume = {37}, pages = {457-487}, owner = {damiano}, timestamp = {2010.03.02} } @ARTICLE{Evans_1, author = {Evans, L.C. and Feldman, M.}, title = {Fast/Slow diffusion and collapsing sandpiles}, journal = {Journal of Differential Equations}, year = {1997}, volume = {137}, pages = {166-209}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Gangbo_1, author = {Cullen, M. and Gangbo, W.}, title = {A variational approach for the 2--{Dimensional} semi-geostrophic shallow water equations}, journal = {Archive for Rational Mechanics and Analysis}, year = {2001}, volume = {156}, pages = {241-273}, owner = {damiano}, timestamp = {2010.02.26} } @ARTICLE{Cullen_1, author = {Cullen, M. and Purser, R.J.}, title = {A duality principle in {Semi--geostrophic} Theory}, journal = {Journal of Atmospheric Sciences}, year = {1987}, volume = {44}, pages = {3449-3468}, owner = {damiano}, timestamp = {2010.04.19} } @ARTICLE{Monge_1, author = {Monge, G.}, title = {Memoire sur la Theorie des D´eblais et des Remblais}, journal = {Histoire de l'Academie des Sciences de Paris}, year = {1781}, owner = {damiano}, timestamp = {2009.10.15} } @BOOK{Tannenbaum_book, title = {{Mathematical} {Methods} in {Computer} {Vision}}, publisher = {Springer -- Verlag}, year = {2004}, author = {Olver, P. and Tannenbaum, A.}, owner = {damiano}, timestamp = {2010.04.19} } @ARTICLE{Chartrand, author = {Chartrand, R. and Vixie, K. and Wholberg, B.}, title = {A gradient descent solution to the Monge-Kantorovich problem}, journal = {Applied Mathematical Sciences}, owner = {damiano}, timestamp = {2009.10.15} } @ARTICLE{Haker, author = {Angenent, S. and Haker, S. and Tennenbaum, A.}, title = {Minimizing flows for the Monge-Kantorovich problem}, journal = {SIAM J. Math. Anal.}, year = {2003}, volume = {35}, pages = {61-97}, owner = {damiano}, timestamp = {2010.01.22} } @ARTICLE{Haber, author = {Rehman, T. and Haber, E. and Pryor, G. and Melonakos, J. and Tannenbaum, A.}, title = {{3D} nonrigid registration via optimal mass transport on the {GPU}}, journal = {Medical Image Analysis}, year = {2009}, owner = {damiano}, timestamp = {2010.02.01} } @BOOK{Arnold_1, title = {Topological methods in hydrodynamics}, publisher = {Springer}, year = {1998}, author = {Arnold, V.I. and Khesin, B.}, owner = {damiano}, timestamp = {2009.10.18} } @BOOK{Villani_1, title = {Topics in optimal transportation}, publisher = {American Mathematical Society}, year = {2003}, author = {Villani, C.}, owner = {damiano}, timestamp = {2009.10.16}, edition = {1st} } @BOOK{Villani_2, title = {Optimal Transport, old and new}, publisher = {Springer-Verlag}, year = {2009}, author = {Villani, C.}, owner = {damiano}, timestamp = {2009.10.16}, edition = {1st} } @ARTICLE{Oliker_1, author = {Gangbo, W. and Oliker, V.}, title = {Existence of optimal maps in the reflector--type problems}, journal = {ESAIM COCV}, year = {2007}, volume = {13}, pages = {93-106}, owner = {damiano}, timestamp = {2010.04.19} } @ARTICLE{Otto_1, author = {Otto, F.}, title = {Viscous fingering: an optimal bound on the growth rate of the mixing zone}, journal = {SIAM J. 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Mech.}, Pages = {5-28}, Title = {Dynamic mode decomposition of numerical and experimental data}, Volume = {656}, Year = {2010}} @article{Xiu_1, Author = {Xiu D. and Karniadakis G.}, Journal = {SIAM J. Sci. Comput.}, Pages = {619-644}, Title = {The {Wiener-Askey} polynomial chaos for stochastic differential equations}, Volume = {24}, Year = {2002}} @article{Bellman_1, Author = {Bellman, R. and Astrom, K.J.}, Journal = {Math. Biosci.}, Pages = {329}, Title = {On structural identifiability}, Volume = {7}, Year = {1970}} %% Cardiovascular @article{Alastruey_1, Author = {Alastruey, J. and Parker, K.H. and Peiro, J. and Sherwin, S.J.}, Journal = {Comm. in Comput. Phys.}, Pages = {317-336}, Title = {Lumped parameter models for 1D blood flow simulations: effect on pulse waves and parameter estimation}, Volume = {4}, Year = {2008}} @article{Alastruey_2, Author = {Alastruey, J. and Parker, K.H. and Peiro, J. and Sherwin, S.J.}, Journal = {J. Eng. 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Eng.}, Pages = {1389-1405}, Title = {Black box decomposition approach for computational hemodynamics: one dimensional models}, Volume = {200}, Year = {2011}} @BOOK{Formaggia_1, title = {Cardiovascular mathematics}, publisher = {Springer-Verlag}, year = {2009}, author = {}, editor={Formaggia, L. and Quarteroni, A. and Veneziani, L.}, owner = {damiano}, timestamp = {2009.10.16}, edition = {1st} } @article{Formaggia_2, Author = {Formaggia, L. and Lamponi, D. and Quarteroni, A.}, Journal = {J. Math. Eng.}, Pages = {251-276}, Title = {One dimensional models for blood flows in arteries}, Volume = {47}, Year = {2003}} @article{Olufsen_1, Author = {Steele, N.B. and Valdez-Jasso, D. and Haider, A.M. and Olufsen, M.S.}, Journal = {SIAM J. Appl. 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