Capillary networks in tumor angiogenesis: From discrete endothelial cells to phase-field averaged descriptions via isogeometric analysis

An unconditionally energy-stable method for the phase field crystal equation

(2012) Hector Gomez et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Isogeometric collocation for elastostatics and explicit dynamics

(2012) F. Auricchio et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

(2012) Dominik Schillinger et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Second-order convexmaximum entropyapproximants with applications to high-order PDE

(2012) A. Rosolen et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Study on Multicellular Systems Using a Phase Field Model

(2012) Makiko Nonomura   PLoS One

Hallmarks of Cancer: The Next Generation

(2011) Douglas Hanahan et al.   CELL

Numerical simulation of a thermodynamically consistent four-species tumor growth model

(2011) Andrea Hawkins-Daarud et al.   International Journal for Numerical Methods in Biomedical Engineering

Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

(2011) Hector Gomez et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical simulation of asymptotic states of the damped Kuramoto-Sivashinsky equation

(2011) Hector Gomez et al.   PHYSICAL REVIEW E

Tumor Angiogenesis and Vascular Patterning: A Mathematical Model

(2011) Rui D. M. Travasso et al.   PLoS One

Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations

(2010) Hector Gomez et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Simulation of blood flow in deformable vessels using subject-specific geometry and spatially varying wall properties

(2010) Guanglei Xiong et al.   International Journal for Numerical Methods in Biomedical Engineering

Three-dimensional multispecies nonlinear tumor growth—II: Tumor invasion and angiogenesis

(2010) Hermann B. Frieboes et al.   JOURNAL OF THEORETICAL BIOLOGY

GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING

(2010) J. TINSLEY ODEN et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Isogeometric analysis in electromagnetics: B-splines approximation

(2009) A. Buffa et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Isogeometric analysis using T-splines

(2009) Y. Bazilevs et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Robustness of isogeometric structural discretizations under severe mesh distortion

(2009) S. Lipton et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Smooth, second order, non-negative meshfree approximants selected by maximum entropy

(2009) C. J. Cyron et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A phase field model of unsaturated flow

(2009) L. Cueto-Felgueroso et al.   WATER RESOURCES RESEARCH

Tipping the Balance: Robustness of Tip Cell Selection, Migration and Fusion in Angiogenesis

(2009) Katie Bentley et al.   PLoS Computational Biology

Advances of and by phase-field modelling in condensed-matter physics

(2008) Heike Emmerich   ADVANCES IN PHYSICS

A Hybrid Model for Three-Dimensional Simulations of Sprouting Angiogenesis

(2008) Florian Milde et al.   BIOPHYSICAL JOURNAL

Effect of mechanical boundary conditions on orientation of angiogenic microvessels

(2008) L. Krishnan et al.   CARDIOVASCULAR RESEARCH

Isogeometric analysis of the Cahn–Hilliard phase-field model

(2008) Héctor Gómez et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Efficient quadrature for NURBS-based isogeometric analysis

(2008) T.J.R. Hughes et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Multiscale modelling and nonlinear simulation of vascular tumour growth

(2008) Paul Macklin et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Stochastic modelling of tumour-induced angiogenesis

(2008) Vincenzo Capasso et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching

(2008) Vittorio Cristini et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Three-dimensional multispecies nonlinear tumor growth—I

(2008) S.M. Wise et al.   JOURNAL OF THEORETICAL BIOLOGY