Mesoscopic and continuum modelling of angiogenesis (Q37658679)

21 August 2017

Mesoscopic and continuum modelling of angiogenesis (English)

1 reference

21 August 2017

1 reference

5

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

Fabian Spill

series ordinal

1

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

Pilar Guerrero

series ordinal

2

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

Tomas Alarcon

series ordinal

3

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

4

P K Maini

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

publication date

11 March 2014

1 reference

Journal of Mathematical Biology

21 August 2017

48

1 reference

based on heuristic

inferred from page(s)

published in

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

volume

70

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

issue

3

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

page(s)

485-532

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

maintained by WikiProject

9 June 2020

WikiProject Mathematics

0 references

cites work

Basic and therapeutic aspects of angiogenesis

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Normalization of the vasculature for treatment of cancer and other diseases

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Tumor angiogenesis and vascular patterning: a mathematical model

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Molecular mechanisms and clinical applications of angiogenesis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Multiscale modelling of vascular tumour growth in 3D: the roles of domain size and boundary conditions

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Hallmarks of Cancer: The Next Generation

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Antiangiogenic therapy: impact on invasion, disease progression, and metastasis.

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

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

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Dissecting cancer through mathematics: from the cell to the animal model

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Antiangiogenic therapies for high-grade glioma

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Multiscale models of angiogenesis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Dimensions and morphology of the cornea in three strains of mice

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Multiscale modelling and nonlinear simulation of vascular tumour growth.

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Computational and mathematical modeling of angiogenesis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A user's guide to PDE models for chemotaxis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Computational model of vascular endothelial growth factor spatial distribution in muscle and pro-angiogenic cell therapy

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A history of the study of solid tumour growth: the contribution of mathematical modelling.

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mathematical modeling of tumor-induced angiogenesis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

VEGF guides angiogenic sprouting utilizing endothelial tip cell filopodia

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Fluid shear stress and the vascular endothelium: for better and for worse

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mathematical modelling of angiogenesis.

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Angiogenesis in cancer and other diseases

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mechanisms of angiogenesis and arteriogenesis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

23 August 2017

The Hallmarks of Cancer

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

New model of tumor angiogenesis: dynamic balance between vessel regression and growth mediated by angiopoietins and VEGF.

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mechanisms of angiogenesis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Angiogenesis in cancer, vascular, rheumatoid and other disease

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Tumor angiogenesis: therapeutic implications

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

What Is the Evidence That Tumors Are Angiogenesis Dependent?

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis

23 August 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A multiphase model describing vascular tumour growth.

28 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A mathematical model of tumour-induced capillary growth.

25 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A hybrid continuum-discrete modelling approach to predict and control angiogenesis: analysis of combinatorial growth factor and matrix effects on vessel-sprouting morphology.

25 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A cell-based model of endothelial cell migration, proliferation and maturation during corneal angiogenesis

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Angiogenesis and vascular remodelling in normal and cancerous tissues.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Stochastic modelling of tumour-induced angiogenesis.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mechanics and chemotaxis in the morphogenesis of vascular networks.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Lattice and non-lattice models of tumour angiogenesis.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999).

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Model of competitive binding of vascular endothelial growth factor and placental growth factor to VEGF receptors on endothelial cells

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mathematical modeling of the onset of capillary formation initiating angiogenesis.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A mathematical model of tumour angiogenesis incorporating cellular traction and viscoelastic effects.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Continuous and discrete mathematical models of tumor-induced angiogenesis.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions.

1 September 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=5320864

A general method for numerically simulating the stochastic time evolution of coupled chemical reactions

1 September 2018

1 reference

Crossref

https://api.crossref.org/works/10.1007%2FS00285-014-0771-1

Exact stochastic simulation of coupled chemical reactions

21 January 2018

1 reference

Crossref

https://api.crossref.org/works/10.1007%2FS00285-014-0771-1

Mathematical modeling of tumor-induced angiogenesis

21 January 2018

1 reference

PubMed

https://pubmed.ncbi.nlm.nih.gov/24615007

inferred from PubMed ID database lookup

12 December 2020

based on heuristic

Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy

1 reference

PubMed

https://pubmed.ncbi.nlm.nih.gov/24615007

inferred from PubMed ID database lookup

12 December 2020

based on heuristic

Identifiers

DOI

10.1007/S00285-014-0771-1

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

1 reference

0 references

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json

9 June 2020

PubMed publication ID

24615007

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:24615007%20AND%20SRC:MED&resulttype=core&format=json