Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis
type: Item
instance of: scholarly article
title: Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis
zbMATH Open document ID: 1406.92049
author: Hermann B. Frieboes
author: Fang Jin
author: Yao-Li Chuang
author: Steven Wise
author: John Lowengrub
author: Vittorio Cristini
published in: Journal of Theoretical Biology
publication date: 2019-02-12T00:00:00Z
Mathematics Subject Classification ID: 92C15
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7020545
zbMATH Keywords: cancer
zbMATH Keywords: invasion
zbMATH Keywords: metastasis
zbMATH Keywords: computer simulation
zbMATH Keywords: three dimensional model
MaRDI profile type: Publication
full work available at URL: j.jtbi.2010.02.036
OpenAlex ID: W2131395554
Wikidata QID: Q34028584
cites work: A cellular automaton model for tumour growth in inhomogeneous environment
cites work: A Multiple Scale Model for Tumor Growth
cites work: Traction patterns of tumor cells
cites work: ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
cites work: Continuous and discrete mathematical models of tumor-induced angiogenesis
cites work: A history of the study of solid tumour growth: the contribution of mathematical modelling
cites work: A Mixture Theory for the Genesis of Residual Stresses in Growing Tissues I: A General Formulation
cites work: A Mixture Theory for the Genesis of Residual Stresses in Growing Tissues II: Solutions to the Biphasic Equations for a Multicell Spheroid
cites work: A continuum approach to modelling cell-cell adhesion
cites work: Mathematical model of tumour cord growth along the source of nutrient
cites work: Vascular network remodeling via vessel cooption, regression and growth in tumors
cites work: ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
cites work: A MATHEMATICAL MODEL FOR TUMOR CORDS INCORPORATING THE FLOW OF INTERSTITIAL FLUID
cites work: The role of cell-cell interactions in a two-phase model for avascular tumour growth
cites work: A multiphase model describing vascular tumour growth
cites work: Cancer Modelling and Simulation
cites work: Growth of nonnecrotic tumors in the presence and absence of inhibitors
cites work: Growth of necrotic tumors in the presence and absence of inhibitors
cites work: A two-phase model of solid tumour growth
cites work: Modelling solid tumour growth using the theory of mixtures
cites work: Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
cites work: Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
cites work: Nonlinear simulation of tumor growth
cites work: Mathematical modelling of tumour growth and treatment
cites work: Modelling the early growth of ductal carcinoma in situ of the breast
cites work: Mathematical modelling of comedo ductal carcinoma in situ of the breast
cites work: MATHEMATICAL ANALYSIS AND CHALLENGES ARISING FROM MODELS OF TUMOR GROWTH
cites work: Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
cites work: MATHEMATICAL MODELLING OF GLIOBLASTOMA TUMOUR DEVELOPMENT: A REVIEW
cites work: A HYBRID MODEL FOR TUMOR SPHEROID GROWTH IN VITRO I: THEORETICAL DEVELOPMENT AND EARLY RESULTS
cites work: Nonlinear three-dimensional simulation of solid tumor growth
cites work: Nonlinear modelling of cancer: bridging the gap between cells and tumours
cites work: Nonlinear simulation of the effect of microenvironment on tumor growth
cites work: Multiscale modelling and nonlinear simulation of vascular tumour growth
cites work: Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies
cites work: Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
cites work: The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity
cites work: Angiogenesis and vascular remodelling in normal and cancerous tissues
cites work: The migration of cells in multicell tumor spheroids
cites work: A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies
cites work: Lattice and non-lattice models of tumour angiogenesis
cites work: A new approach to modelling the formation of necrotic regions in tumours
cites work: AVASCULAR TUMOUR DYNAMICS AND NECROSIS
cites work: Multiphase and Multiscale Trends in Cancer Modelling
cites work: Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
cites work: Mathematical Models of Avascular Tumor Growth
cites work: Predicting drug pharmacokinetics and effect in vascularized tumors using computer simulation
cites work: Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angio\-genic and chemotherapeutic drug strategies
cites work: Mathematical modelling of the influence of blood rheological properties upon adaptative tu\-mour-induced angiogenesis
cites work: Multi-scale models of cell and tissue dynamics
cites work: Lattice-Boltzmann simulation of blood flow in digitized vessel networks
cites work: Multiphase modeling and qualitative analysis of the growth of tumor cords
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Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis (DOI)
DOI: 10.1016/J.JTBI.2010.02.036