Computational modelling suggests complex interactions between interstitial flow and tumour angiogenesis

Investigating Low-Velocity Fluid Flow in Tumors with Convection-MRI

(2018) Simon Walker-Samuel et al.   CANCER RESEARCH

A mathematical model of tumour angiogenesis: growth, regression and regrowth

(2017) Guillermo Vilanova et al.   Journal of the Royal Society Interface

A Mathematical Model Coupling Tumor Growth and Angiogenesis

(2016) Jiangping Xu et al.   PLoS One

Toward Predictive Multiscale Modeling of Vascular Tumor Growth

(2015) J. Tinsley Oden et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Computational Models of Sprouting Angiogenesis and Cell Migration: Towards Multiscale Mechanochemical Models of Angiogenesis

(2015) T.A.M. Heck et al.   Mathematical Modelling of Natural Phenomena

Challenges in the Modeling of Wound Healing Mechanisms in Soft Biological Tissues

(2014) C. Valero et al.   ANNALS OF BIOMEDICAL ENGINEERING

Computational models for fluid exchange between microcirculation and tissue interstitium

(2014) Laura Cattaneo et al.   Networks and Heterogeneous Media

Interstitial fluid flow in cancer: implications for disease progression and treatment

(2014) Jennifer Munson et al.   Cancer Management and Research

Coupling of discrete random walks and continuous modeling for three-dimensional tumor-induced angiogenesis

(2013) Guillermo Vilanova et al.   COMPUTATIONAL MECHANICS

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

(2013) Guillermo Vilanova et al.   International Journal for Numerical Methods in Biomedical Engineering

A systems biology view of blood vessel growth and remodelling

(2013) Elizabeth A. Logsdon et al.   JOURNAL OF CELLULAR AND MOLECULAR MEDICINE

Interstitial Fluid Flow and Drug Delivery in Vascularized Tumors: A Computational Model

(2013) Michael Welter et al.   PLoS One

Mechanotransduction in embryonic vascular development

(2012) Beth L. Roman et al.   Biomechanics and Modeling in Mechanobiology

Mechanism of a flow-gated angiogenesis switch: early signaling events at cell–matrix and cell–cell junctions

(2012) Vernella Vickerman et al.   Integrative Biology

A NUMERICAL STUDY BASED ON THE FEM OF A MULTISCALE CONTINUUM MODEL FOR TUMOR ANGIOGENESIS

(2012) Guillermo Vilanova et al.   JOURNAL OF BIOMECHANICS

Haemodynamics-Driven Developmental Pruning of Brain Vasculature in Zebrafish

(2012) Qi Chen et al.   PLOS BIOLOGY

Numerical simulation of inhibiting effects on solid tumour cells in anti-angiogenic therapy: application of coupled mathematical model of angiogenesis with tumour growth

(2011) Yan Cai et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Basic and Therapeutic Aspects of Angiogenesis

(2011) Michael Potente et al.   CELL

The microcirculation: physiology at the mesoscale

(2011) Timothy W. Secomb et al.   JOURNAL OF PHYSIOLOGY-LONDON

Molecular mechanisms and clinical applications of angiogenesis

(2011) Peter Carmeliet et al.   NATURE

Normalization of the Vasculature for Treatment of Cancer and Other Diseases

(2011) Shom Goel et al.   PHYSIOLOGICAL REVIEWS

Tumor Angiogenesis and Vascular Patterning: A Mathematical Model

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

Interstitial flow influences direction of tumor cell migration through competing mechanisms

(2011) W. J. Polacheck et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Fluid forces control endothelial sprouting

(2011) J. W. Song et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Physical determinants of vascular network remodeling during tumor growth

(2010) M. Welter et al.   EUROPEAN PHYSICAL JOURNAL E

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

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

Endothelial cells dynamically compete for the tip cell position during angiogenic sprouting

(2010) Lars Jakobsson et al.   NATURE CELL BIOLOGY

Release kinetics of VEGF165 from a collagen matrix and structural matrix changes in a circulation model

(2010) Johannes Kleinheinz et al.   Head & Face Medicine

Mechanisms of Vessel Branching

(2009) Frederik De Smet et al.   ARTERIOSCLEROSIS THROMBOSIS AND VASCULAR BIOLOGY

Vascular remodelling of an arterio-venous blood vessel network during solid tumour growth

(2009) M. Welter et al.   JOURNAL OF THEORETICAL BIOLOGY

Oxygen advection and diffusion in a three-dimensional vascular anatomical network

(2008) Qianqian Fang et al.   OPTICS EXPRESS

Wound angiogenesis as a function of tissue oxygen tension: A mathematical model

(2008) R. C. Schugart et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Emergent vascular network inhomogeneities and resulting blood flow patterns in a growing tumor

(2007) M. Welter et al.   JOURNAL OF THEORETICAL BIOLOGY

Dose response of angiogenesis to basic fibroblast growth factor in rat corneal pocket assay: I. Experimental characterizations

(2007) Sheng Tong et al.   MICROVASCULAR RESEARCH

Dose response of angiogenesis to basic fibroblast growth factor in rat corneal pocket assay: II. Numerical simulations

(2007) Sheng Tong et al.   MICROVASCULAR RESEARCH