(Q34100311)

31 July 2017

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title

Dissecting cancer through mathematics: from the cell to the animal model (English)

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31 July 2017

Helen M Byrne

1

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language of work or name

English

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publication date

1 March 2010

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31 July 2017

published in

Nature Reviews Cancer

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31 July 2017

volume

10

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31 July 2017

issue

3

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31 July 2017

page(s)

221-230

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maintained by WikiProject

31 July 2017

WikiProject Mathematics

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A new theory on cancer-inducing mechanism

inferred from title

cites work

1 reference

The age distribution of cancer and a multi-stage theory of carcinogenesis

21 January 2018

1 reference

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

21 January 2018

1 reference

Role of angiogenesis in tumor growth and metastasis

21 January 2018

1 reference

Modeling killing and repopulation kinetics of subclinical cancer: direct calculations from clinical data.

21 January 2018

1 reference

Computational models of the heart and their use in assessing the actions of drugs

21 January 2018

1 reference

Mutation and cancer: statistical study of retinoblastoma

31 March 2020

1 reference

31 March 2020

The Hallmarks of Cancer

1 reference

Modeling somatic evolution in tumorigenesis

31 March 2020

1 reference

Invasion emerges from cancer cell adaptation to competitive microenvironments: quantitative predictions from multiscale mathematical models

31 March 2020

1 reference

The role of acidity in solid tumour growth and invasion

31 March 2020

1 reference

The linear process of somatic evolution.

31 March 2020

1 reference

Selective pressures for and against genetic instability in cancer: a time-dependent problem

31 March 2020

1 reference

Inferring clonal expansion and cancer stem cell dynamics from DNA methylation patterns in colorectal cancers

31 March 2020

1 reference

Self-regulation of growth in three dimensions

31 March 2020

1 reference

Mathematical modelling of the use of macrophages as vehicles for drug delivery to hypoxic tumour sites

31 March 2020

1 reference

A multiscale model for avascular tumor growth

31 March 2020

1 reference

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

31 March 2020

1 reference

On the growth and stability of cell cultures and solid tumors

31 March 2020

1 reference

Nonlinear simulation of tumor growth.

31 March 2020

1 reference

Solid stress inhibits the growth of multicellular tumor spheroids

31 March 2020

1 reference

The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids

31 March 2020

1 reference

Solid stress generated by spheroid growth estimated using a linear poroelasticity model.

31 March 2020

1 reference

Fibrosis and cancer: do myofibroblasts come also from epithelial cells via EMT?

31 March 2020

1 reference

The stromal reaction in basal cell carcinomas. A prerequisite for tumour progression and treatment strategy

31 March 2020

1 reference

A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion

31 March 2020

1 reference

Individual-based and continuum models of growing cell populations: a comparison.

31 March 2020

1 reference

A mathematical model of tumour-induced capillary growth.

31 March 2020

1 reference

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

31 March 2020

1 reference

Continuous and discrete mathematical models of tumor-induced angiogenesis.

31 March 2020

1 reference

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

31 March 2020

1 reference

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

31 March 2020

1 reference

A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I. The role of protease inhibitors in preventing angiogenesis

31 March 2020

1 reference

A Mathematical Model for the Role of Cell Signal Transduction in the Initiation and Inhibition of Angiogenesis

31 March 2020

1 reference

Agent-based simulation of notch-mediated tip cell selection in angiogenic sprout initialisation

31 March 2020

1 reference

Mathematical models of the VEGF receptor and its role in cancer therapy.

31 March 2020

1 reference

A compartment model of VEGF distribution in blood, healthy and diseased tissues.

31 March 2020

1 reference

A compartment model of VEGF distribution in humans in the presence of soluble VEGF receptor-1 acting as a ligand trap

31 March 2020

1 reference

A mathematical model of the contribution of endothelial progenitor cells to angiogenesis in tumors: implications for antiangiogenic therapy.

31 March 2020

1 reference

Modelling the role of angiogenesis and vasculogenesis in solid tumour growth.

31 March 2020

1 reference

Vessel maturation effects on tumour growth: validation of a computer model in implanted human ovarian carcinoma spheroids

31 March 2020

1 reference

A cellular automaton model of early tumor growth and invasion

31 March 2020

1 reference

Modeling the effects of vasculature evolution on early brain tumor growth.

31 March 2020

1 reference

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

31 March 2020

1 reference

Angiogenesis and vascular remodelling in normal and cancerous tissues.

31 March 2020

1 reference

Multiscale modelling and nonlinear simulation of vascular tumour growth.

31 March 2020

1 reference

Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy

31 March 2020

1 reference

In silico cancer modeling: is it ready for prime time?

31 March 2020

1 reference

Optimal radiotherapy of tumour cells following exponential-quadratic survival curves and exponential repopulation kinetics

31 March 2020

1 reference

Investigation of various growth mechanisms of solid tumour growth within the linear-quadratic model for radiotherapy.

31 March 2020

1 reference

A mathematical model for brain tumor response to radiation therapy.

31 March 2020

1 reference

Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion

31 March 2020

1 reference

Quantitative metrics of net proliferation and invasion link biological aggressiveness assessed by MRI with hypoxia assessed by FMISO-PET in newly diagnosed glioblastomas

31 March 2020

1 reference

A quantitative model for differential motility of gliomas in grey and white matter.

31 March 2020

1 reference

Non-linear modelling of breast tissue.

31 March 2020

1 reference

Proteins, drug targets and the mechanisms they control: the simple truth about complex networks

31 March 2020

1 reference

Modelling the flow [corrected] cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison

31 March 2020

1 reference

A mathematical model of breast and ovarian cancer treated with paclitaxel.

31 March 2020

1 reference

Modelling aspects of cancer dynamics: a review

31 March 2020

1 reference

Nonlinear modelling of cancer: bridging the gap between cells and tumours

31 March 2020

1 reference

Prediction of drug response in breast cancer using integrative experimental/computational modeling

31 March 2020

1 reference

Quantification of endothelial cell-targeted anti-Bcl-2 therapy and its suppression of tumor growth and vascularization

31 March 2020

1 reference

Transcriptional network governing the angiogenic switch in human pancreatic cancer

31 March 2020

1 reference

Towards whole-organ modelling of tumour growth.

31 March 2020

1 reference

31 March 2020

1 reference

12 December 2020

Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies.

1 reference

12 December 2020

A reaction-diffusion model of cancer invasion.

1 reference

12 December 2020

Tumor-induced neovascularization in the mouse eye

1 reference

12 December 2020

Rate of growth of solid tumours as a problem of diffusion.

1 reference

12 December 2020

Mathematical modelling of avascular-tumour growth

1 reference

12 December 2020

Determinants of tumor blood flow: a review

1 reference

12 December 2020

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

1 reference

12 December 2020

Mechanisms of heterogeneous distribution of monoclonal antibodies and other macromolecules in tumors: significance of elevated interstitial pressure

1 reference

12 December 2020

Cells at intermediate oxygen levels can be more important than the "hypoxic fraction" in determining tumor response to fractionated radiotherapy

1 reference

12 December 2020

Identifiers

DOI

10.1038/NRC2808

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Dimensions Publication ID

31 July 2017

1026196319

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