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A multiscale model reduction method for nonlinear monotone elliptic equations in heterogeneous media

Networks and Heterogeneous Media  Volume 12, Issue 4, Pages : 619 - 642, 2017

Eric Chung - (email), Yalchin Efendiev - (email), Ke Shi - (email), Shuai Ye - (email)

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Analysis of a free boundary problem for tumor growth with Gibbs-Thomson relation and time delays

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 20 - 20, 2017

Shihe Xu - (email), Meng Bai - (email), Fangwei Zhang - (email)

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Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis

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Harald Garcke - (email), Kei Fong Lam - (email)

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Asymptotic analyses and error estimates for a Cahn--Hilliard type phase field system modelling tumor growth

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Multiscale mixed finite elements

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 5, Pages : 1269 - 1298, 2016

Fredrik Hellman - (email), Patrick Henning - (email), Axel Målqvist - (email)

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Adjoint sensitivity analysis of a tumor growth model and its application to spatiotemporal radiotherapy optimization

Mathematical Biosciences and Engineering  Volume 13, Issue 6, Pages : 1131 - 1142, 2016

Krzysztof Fujarewicz - (email), Krzysztof Łakomiec - (email)

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Free boundary problems for systems of Stokes equations

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Avner Friedman - (email)

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Hybrid models of cell and tissue dynamics in tumor growth

Mathematical Biosciences and Engineering  Volume 12, Issue 6, Pages : 1141 - 1156, 2015

Yangjin Kim - (email), Hans G. Othmer - (email)

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Mathematical model and its fast numerical method for the tumor growth

Mathematical Biosciences and Engineering  Volume 12, Issue 6, Pages : 1173 - 1187, 2015

Hyun Geun Lee - (email), Yangjin Kim - (email), Junseok Kim - (email)

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On a Cahn-Hilliard type phase field system related to tumor growth

Discrete and Continuous Dynamical Systems  Volume 35, Issue 6, Pages : 2423 - 2442, 2014

Pierluigi Colli - (email), Gianni Gilardi - (email), Danielle Hilhorst - (email)

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Variable step size multiscale methods for stiff and highly oscillatory dynamical systems

Discrete and Continuous Dynamical Systems  Volume 34, Issue 3, Pages : 1079 - 1097, 2013

Yoonsang Lee - (email), Bjorn Engquist - (email)

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A multiple time-scale computational model of a tumor and its micro environment

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 121 - 150, 2012

Christopher DuBois - (email), Jesse Farnham - (email), Eric Aaron - (email), Ami Radunskaya - (email)

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PDE problems arising in mathematical biology

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 691 - 703, 2012

Avner Friedman - (email)

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Conservation laws in mathematical biology

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Avner Friedman - (email)

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Morphogenesis and aggressiveness of cervix carcinoma

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 987 - 997, 2011

Elena Izquierdo-Kulich - (email), Margarita Amigó de Quesada - (email), Carlos Manuel Pérez-Amor - (email), José Manuel Nieto-Villar - (email)

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Tumor cells proliferation and migration under the influence of their microenvironment

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 371 - 383, 2011

Avner Friedman - (email), Yangjin Kim - (email)

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Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 573 - 596, 2011

Joachim Escher - (email), Anca-Voichita Matioc - (email)

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Zero, one and two-switch models of gene regulation

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 2, Pages : 495 - 513, 2010

Somkid Intep - (email), Desmond J. Higham - (email)

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Identification of sound-soft 3D obstacles from phaseless data

Inverse Problems and Imaging  Volume 4, Issue 1, Pages : 131 - 149, 2010

Olha Ivanyshyn - (email), Rainer Kress - (email)

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Asymptotic behavior of solutions for parabolic differential equations with invariance and applications to a free boundary problem modeling tumor growth

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 737 - 765, 2009

Junde Wu - (email), Shangbin Cui - (email)

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The dynamics of tumor growth and cells pattern morphology

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Elena Izquierdo-Kulich - (email), Margarita Amigó de Quesada - (email), Carlos Manuel Pérez-Amor - (email), Magda Lopes Texeira - (email), José Manuel Nieto-Villar - (email)

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Lifting in equation-free methods for molecular dynamics simulations of dense fluids

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Yves Frederix - (email), Giovanni Samaey - (email), Christophe Vandekerckhove - (email), Ting Li - (email), Erik Nies - (email), Dirk Roose - (email)

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Asymptotic behavior of solutions of a free boundary problem modelling the growth of tumors with Stokes equations

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Junde Wu - (email), Shangbin Cui - (email)

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Numerical zoom for multiscale problems with an application to flows through porous media

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 265 - 280, 2008

Frédéric Hecht - (email), Alexei Lozinski - (email), Alain Perronnet - (email), Olivier Pironneau - (email)

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Morphogenesis of the tumor patterns

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 299 - 313, 2008

Elena Izquierdo-Kulich - (email), José Manuel Nieto-Villar - (email)

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Mesoscopic model for tumor growth

Mathematical Biosciences and Engineering  Volume 4, Issue 4, Pages : 687 - 698, 2007

Elena Izquierdo-Kulich - (email), José Manuel Nieto-Villar - (email)

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Multiscale stochastic homogenization of monotone operators

Networks and Heterogeneous Media  Volume 2, Issue 1, Pages : 181 - 192, 2006

Nils Svanstedt - (email)

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Interstitial Pressure And Fluid Motion In Tumor Cords

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 445 - 460, 2005

Alessandro Bertuzzi - (email), Antonio Fasano - (email), Alberto Gandolfi - (email), Carmela Sinisgalli - (email)

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Modeling Multicellular Systems Using Subcellular Elements

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 613 - 624, 2005

T. J. Newman - (email)

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