Related references
Note: Only part of the references are listed.Metabolic therapy: A new paradigm for managing malignant brain cancer
Thomas N. Seyfried et al.
CANCER LETTERS (2015)
Numerical Methods for Solving the Cahn-Hilliard Equation and Its Applicability to Related Energy-Based Models
G. Tierra et al.
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING (2015)
A computational framework for dynamic data-driven material damage control, based on Bayesian inference and model selection
E. E. Prudencio et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2015)
Analysis and Numerical Solution of Stochastic Phase-Field Models of Tumor Growth
Ernesto A. B. F. Lima et al.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2015)
Tunable Collagen I Hydrogels for Engineered Physiological Tissue Micro-Environments
Elizabeth E. Antoine et al.
PLOS ONE (2015)
Releasing Pressure in Tumors: What Do We Know So Far and Where Do We Go from Here? A Review
Arlizan B. Ariffin et al.
CANCER RESEARCH (2014)
Genome Scale Modeling in Systems Biology: Algorithms and Resources
Ali Najafi et al.
CURRENT GENOMICS (2014)
A master equation and moment approach for biochemical systems with creation-time-dependent bimolecular rate functions
Michael W. Chevalier et al.
JOURNAL OF CHEMICAL PHYSICS (2014)
A hybrid ten-species phase-field model of tumor growth
E. A. B. F. Lima et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2014)
Computational Modeling of 3D Tumor Growth and Angiogenesis for Chemotherapy Evaluation
Lei Tang et al.
PLOS ONE (2014)
Role of Constitutive Behavior and Tumor-Host Mechanical Interactions in the State of Stress and Growth of Solid Tumors
Chrysovalantis Voutouri et al.
PLOS ONE (2014)
Review of Collagen I Hydrogels for Bioengineered Tissue Microenvironments: Characterization of Mechanics, Structure, and Transport
Elizabeth E. Antoine et al.
TISSUE ENGINEERING PART B-REVIEWS (2014)
Three-Dimensional Microfluidic Collagen Hydrogels for Investigating Flow-Mediated Tumor-Endothelial Signaling and Vascular Organization
Cara F. Buchanan et al.
TISSUE ENGINEERING PART C-METHODS (2014)
Flow shear stress regulates endothelial barrier function and expression of angiogenic factors in a 3D microfluidic tumor vascular model
Cara F. Buchanan et al.
CELL ADHESION & MIGRATION (2014)
Stochastic simulation in systems biology
Tamas Szekely et al.
COMPUTATIONAL AND STRUCTURAL BIOTECHNOLOGY JOURNAL (2014)
Coevolution of Solid Stress and Interstitial Fluid Pressure in Tumors During Progression: Implications for Vascular Collapse
Triantafyllos Stylianopoulos et al.
CANCER RESEARCH (2013)
Normalizing Tumor Microenvironment to Treat Cancer: Bench to Bedside to Biomarkers
Rakesh K. Jain
JOURNAL OF CLINICAL ONCOLOGY (2013)
Improved patient-specific calibration for agent-based cancer modeling
Alice Z. Hyun et al.
JOURNAL OF THEORETICAL BIOLOGY (2013)
The effect of interstitial pressure on tumor growth: Coupling with the blood and lymphatic vascular systems
Min Wu et al.
JOURNAL OF THEORETICAL BIOLOGY (2013)
Bridging the layers: towards integration of signal transduction, regulation and metabolism into mathematical models
Emanuel Goncalves et al.
MOLECULAR BIOSYSTEMS (2013)
Tumor glycolysis as a target for cancer therapy: progress and prospects
Shanmugasundaram Ganapathy-Kanniappan et al.
MOLECULAR CANCER (2013)
SELECTION AND ASSESSMENT OF PHENOMENOLOGICAL MODELS OF TUMOR GROWTH
J. Tinsley Oden et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2013)
Measurement of Biomolecular Diffusion in Extracellular Matrix Condensed by Fibroblasts Using Fluorescence Correlation Spectroscopy
Takanori Kihara et al.
PLOS ONE (2013)
In Vitro Angiogenesis Induced by Tumor-Endothelial Cell Co-Culture in Bilayered, Collagen I Hydrogel Bioengineered Tumors
Christopher S. Szot et al.
TISSUE ENGINEERING PART C-METHODS (2013)
Mathematical modeling of cancer invasion: the role of membrane-bound matrix metalloproteinases
Niall E. Deakin et al.
FRONTIERS IN ONCOLOGY (2013)
AN AGENT-BASED MODEL FOR ELASTO-PLASTIC MECHANICAL INTERACTIONS BETWEEN CELLS, BASEMENT MEMBRANE AND EXTRACELLULAR MATRIX
Gianluca D'Antonio et al.
MATHEMATICAL BIOSCIENCES AND ENGINEERING (2013)
BIOMECHANICAL MODELING OF SURFACE WRINKLING OF SOFT TISSUES WITH GROWTH-DEPENDENT MECHANICAL PROPERTIES
Yanping Cao et al.
ACTA MECHANICA SOLIDA SINICA (2012)
Inference on a stochastic two-compartment model in tumor growth
Giuseppina Albano et al.
COMPUTATIONAL STATISTICS & DATA ANALYSIS (2012)
Numerical simulation of a thermodynamically consistent four-species tumor growth model
Andrea Hawkins-Daarud et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING (2012)
Patient-calibrated agent-based modelling of ductal carcinoma in situ (DCIS): From microscopic measurements to macroscopic predictions of clinical progression
Paul Macklin et al.
JOURNAL OF THEORETICAL BIOLOGY (2012)
Boolean modeling in systems biology: an overview of methodology and applications
Rui-Sheng Wang et al.
PHYSICAL BIOLOGY (2012)
Causes, consequences, and remedies for growth-induced solid stress in murine and human tumors
Triantafyllos Stylianopoulos et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2012)
On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework
Martin Heida et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2012)
PARALLEL ADAPTIVE MULTILEVEL SAMPLING ALGORITHMS FOR THE BAYESIAN ANALYSIS OF MATHEMATICAL MODELS
Ernesto E. Prudencio et al.
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION (2012)
OPINION Lymphatic and interstitial flow in the tumour microenvironment: linking mechanobiology with immunity
Melody A. Swartz et al.
NATURE REVIEWS CANCER (2012)
3D in vitro bioengineered tumors based on collagen I hydrogels
Christopher S. Szot et al.
BIOMATERIALS (2011)
Hallmarks of Cancer: The Next Generation
Douglas Hanahan et al.
CELL (2011)
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
S. M. Wise et al.
MATHEMATICAL AND COMPUTER MODELLING (2011)
Cellular automata models of tumour natural shrinkage
Lev Naumov et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2011)
Tumor Angiogenesis and Vascular Patterning: A Mathematical Model
Rui D. M. Travasso et al.
PLOS ONE (2011)
The physics of cancer: the role of physical interactions and mechanical forces in metastasis
Denis Wirtz et al.
NATURE REVIEWS CANCER (2011)
Extracellular matrix, inflammation, and the angiogenic response
Alicia G. Arroyo et al.
CARDIOVASCULAR RESEARCH (2010)
Solution verification, goal-oriented adaptive methods for stochastic advection-diffusion problems
Regina C. Almeida et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2010)
Three-dimensional multispecies nonlinear tumor growth-II: Tumor invasion and angiogenesis
Hermann B. Frieboes et al.
JOURNAL OF THEORETICAL BIOLOGY (2010)
A 2D mechanistic model of breast ductal carcinoma in situ (DCIS) morphology and progression
Kerri-Ann Norton et al.
JOURNAL OF THEORETICAL BIOLOGY (2010)
GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING
J. Tinsley Oden et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2010)
Nonlinear modelling of cancer: bridging the gap between cells and tumours
J. S. Lowengrub et al.
NONLINEARITY (2010)
A generalized Coleman-Noll procedure for the exploitation of the entropy principle
V. A. Cimmelli et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2010)
Cross-scale, cross-pathway evaluation using an agent-based non-small cell lung cancer model
Zhihui Wang et al.
BIOINFORMATICS (2009)
Individual-based and continuum models of growing cell populations: a comparison
Helen Byrne et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2009)
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
Vittorio Cristini et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2009)
A quantitative cellular automaton model of in vitro multicellular spheroid tumour growth
Monika Joanna Piotrowska et al.
JOURNAL OF THEORETICAL BIOLOGY (2009)
Micro-Environmental Mechanical Stress Controls Tumor Spheroid Size and Morphology by Suppressing Proliferation and Inducing Apoptosis in Cancer Cells
Gang Cheng et al.
PLOS ONE (2009)
A hybrid model for three-dimensional simulations of sprouting angiogenesis
Florian Milde et al.
BIOPHYSICAL JOURNAL (2008)
Cross-scale sensitivity analysis of a non-small cell lung cancer model: Linking molecular signaling properties to cellular behavior
Zhihui Wang et al.
BIOSYSTEMS (2008)
A Bayesian analysis of the thermal challenge problem
F. Liu et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)
Three-dimensional multispecies nonlinear tumor growth - I - Model and numerical method
S. M. Wise et al.
JOURNAL OF THEORETICAL BIOLOGY (2008)
Mathematical modelling of cancer cell invasion of tissue
Ignacio Ramis-Conde et al.
MATHEMATICAL AND COMPUTER MODELLING (2008)
On the foundations of cancer modelling: Selected topics, speculations, and perspectives
N. Bellomo et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2008)
Symmetric diffeomorphic image registration with cross-correlation: Evaluating automated labeling of elderly and neurodegenerative brain
B. B. Avants et al.
MEDICAL IMAGE ANALYSIS (2008)
Stochastic Gompertz model of tumour cell growth
C. F. Lo
JOURNAL OF THEORETICAL BIOLOGY (2007)
A bridging domain and strain computation method for coupled atomistic-continuum modelling of solids
Sulin Zhang et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2007)
A triphasic model of transversely isotropic biological tissue with applications to stress and biologically induced growth
Tim Ricken et al.
COMPUTATIONAL MATERIALS SCIENCE (2007)
Computer simulation of glioma growth and morphology
Hermann B. Frieboes et al.
NEUROIMAGE (2007)
Simulating non-small cell lung cancer with a multiscale agent-based model
Zhihui Wang et al.
THEORETICAL BIOLOGY AND MEDICAL MODELLING (2007)
Setup and characterization of a human head and neck squamous cell carcinoma xenograft model in nude rats
Ande Bao et al.
OTOLARYNGOLOGY-HEAD AND NECK SURGERY (2006)
Physicochemical modelling of cell signalling pathways
Bree B. Aldridge et al.
NATURE CELL BIOLOGY (2006)
A stochastic model in tumor growth
G. Albano et al.
JOURNAL OF THEORETICAL BIOLOGY (2006)
A cellular automata model of tumor-immune system interactions
DG Mallet et al.
JOURNAL OF THEORETICAL BIOLOGY (2006)
libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
Benjamin S. Kirk et al.
ENGINEERING WITH COMPUTERS (2006)
Analysis of angiogenesis using in vitro experiments and stochastic growth models -: art. no. 062902
A Niemistö et al.
PHYSICAL REVIEW E (2005)
Nonlinear behaviors of capillary formation in a deterministic angiogenesis model
Shuyu Sun et al.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2005)
Mathematical modeling of cancer: The future of prognosis and treatment
V Quaranta et al.
CLINICA CHIMICA ACTA (2005)
A deterministic model of growth factor-induced angiogenesis
SY Sun et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2005)
Computing large deformation metric mappings via geodesic flows of diffeomorphisms
MF Beg et al.
INTERNATIONAL JOURNAL OF COMPUTER VISION (2005)
Multiscale plasticity modeling: coupled atomistics and discrete dislocation mechanics
LE Shilkrot et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2004)
Model selection using response measurements: Bayesian probabilistic approach
JL Beck et al.
JOURNAL OF ENGINEERING MECHANICS-ASCE (2004)
Mathematical modeling of tumor-induced angiogenesis
NV Mantzaris et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2004)
A bridging domain method for coupling continua with molecular dynamics
SP Xiao et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2004)
Atomistic/continuum coupling in computational materials science
WA Curtin et al.
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING (2003)
On higher gradients in continuum-atomistic modelling
R Sunyk et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2003)
Solid stress generated by spheroid growth estimated using a linear poroelasticity model
T Roose et al.
MICROVASCULAR RESEARCH (2003)
Coupled atomistic and discrete dislocation plasticity
LE Shilkrot et al.
PHYSICAL REVIEW LETTERS (2002)
Simulated brain tumor growth dynamics using a three-dimensional cellular automaton
AR Kansal et al.
JOURNAL OF THEORETICAL BIOLOGY (2000)
Cellular automaton of idealized brain tumor growth dynamics
AR Kansal et al.
BIOSYSTEMS (2000)
Share Paper
