Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Mechanism of Angiogenesis

Mechanism of Angiogenesis

Blood vessel formation starts early during embryonic development, around day 7. In the extraembryonic yolk sac, mesodermal precursor cells called hemangioblast proliferate and differentiate into angioblast. Angioblasts express vascular endothelial growth factor receptor 2 or VEGFR2, which binds VEGF-A, a proangiogenic factor, guiding blood vessel formation. VEGF signaling promotes angioblasts to form a blood island in the developing embryo. Angioblasts further differentiate, giving rise to...

Regulation of Angiogenesis and Blood Supply

Regulation of Angiogenesis and Blood Supply

Rapidly dividing tumors, embryos, and wounded tissues require more oxygen than usual, lowering the oxygen concentration in the blood. At low oxygen or hypoxic conditions, an oxygen-sensitive transcription factor called the hypoxia-inducible factor 1 or HIF1 is activated. HIF1 is a dimeric protein of alpha (ɑ) and beta (β) subunits. Under optimal oxygen conditions, HIF1β is present in the nucleus while HIF1ɑ remains in the cytosol. HIF1ɑ is hydroxylated by prolyl hydroxylase and factor...

Overview of Cell-Matrix Interactions

Overview of Cell-Matrix Interactions

The extracellular matrix or ECM holds cells together to form a tissue and allows the cells within the tissue to communicate. ECM comprises proteins such as fibronectin, collagen, laminin, etc. The most abundant protein in this space is collagen. Collagen fibers are interwoven with carbohydrate-containing protein molecules called proteoglycans. ECM allows cell migration and provides a structural scaffold at cell adhesion that anchors the cell when the extracellular matrix proteins interact with...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Modelling collective invasion with reaction-diffusion equations: When does domain curvature matter?

Applied mathematics letters·2026

Same author

Soliton approximation in continuum models of leader-follower behavior.

Physical review. E·2023

Same author

Structural Features of Microvascular Networks Trigger Blood Flow Oscillations.

Bulletin of mathematical biology·2022

Same author

Intermittent Hormone Therapy Models Analysis and Bayesian Model Comparison for Prostate Cancer.

Bulletin of mathematical biology·2021

Same author

The role of mechanics in the growth and homeostasis of the intestinal crypt.

Biomechanics and modeling in mechanobiology·2020

Same author

A theoretical framework for transitioning from patient-level to population-scale epidemiological dynamics: influenza A as a case study.

Journal of the Royal Society, Interface·2020

Search research articles

Related Experiment Video

Updated: Jun 5, 2026

The Arteriovenous (AV) Loop in a Small Animal Model to Study Angiogenesis and Vascularized Tissue Engineering

The Arteriovenous (AV) Loop in a Small Animal Model to Study Angiogenesis and Vascularized Tissue Engineering

Published on: November 2, 2016

Tumour angiogenesis: the gap between theory and experiments.

J W Schofield¹, E A Gaffney, R A Gatenby

¹Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK. james.schofield@st-hughs.ox.ac.uk

Journal of Theoretical Biology

|January 25, 2011

Summary

Mathematical models of tumor angiogenesis, often based on corneal implants, assume a large initial gap. This study shows this assumption is not generally applicable to clinical settings, challenging existing models.

More Related Videos

A Comprehensive Procedure to Evaluate the In Vitro Performance of the Putative Hemangioblastoma Neovascularization Using the Spheroid Sprouting Assay

A Comprehensive Procedure to Evaluate the In Vitro Performance of the Putative Hemangioblastoma Neovascularization Using the Spheroid Sprouting Assay

Published on: April 12, 2018

Modified In Vivo Matrix Gel Plug Assay for Angiogenesis Studies

Modified In Vivo Matrix Gel Plug Assay for Angiogenesis Studies

Published on: June 30, 2023

Related Experiment Videos

Last Updated: Jun 5, 2026

The Arteriovenous (AV) Loop in a Small Animal Model to Study Angiogenesis and Vascularized Tissue Engineering

The Arteriovenous (AV) Loop in a Small Animal Model to Study Angiogenesis and Vascularized Tissue Engineering

Published on: November 2, 2016

A Comprehensive Procedure to Evaluate the In Vitro Performance of the Putative Hemangioblastoma Neovascularization Using the Spheroid Sprouting Assay

A Comprehensive Procedure to Evaluate the In Vitro Performance of the Putative Hemangioblastoma Neovascularization Using the Spheroid Sprouting Assay

Published on: April 12, 2018

Modified In Vivo Matrix Gel Plug Assay for Angiogenesis Studies

Modified In Vivo Matrix Gel Plug Assay for Angiogenesis Studies

Published on: June 30, 2023

Area of Science:

Oncology
Ophthalmology
Mathematical Biology

Background:

In vivo angiogenesis studies often use corneal tumor implants.
Corneal models assume a significant initial gap (approx. 2mm) between tumor and vasculature.
This assumption is foundational for many early mathematical models of tumor angiogenesis.

Purpose of the Study:

To investigate if the significant gap assumption in tumor angiogenesis is unique to corneal implants.
To determine if this assumption applies to avascular tumor growth more generally.
To assess the clinical applicability of corneal implant-based tumor angiogenesis models.

Main Methods:

Utilized a simple scaling argument.
Derived a multi-compartment mathematical model for tumor growth.
Analyzed in vivo imaging data of tumor angiogenesis.

Main Results:

The assumption of a large initial gap is not universally characteristic of avascular tumor growth.
Corneal implant experiments and their associated models may not accurately reflect general clinical scenarios.
Significant differences exist between experimental models and broader tumor angiogenesis contexts.

Conclusions:

Corneal implant models for tumor angiogenesis have limitations in clinical translation.
The assumption of a large inter-vascular gap requires re-evaluation for general tumor growth.
Further research is needed to develop more broadly applicable models of tumor angiogenesis.