Literature DB >> 20179714

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

Helen M Byrne1.   

Abstract

This Timeline article charts progress in mathematical modelling of cancer over the past 50 years, highlighting the different theoretical approaches that have been used to dissect the disease and the insights that have arisen. Although most of this research was conducted with little involvement from experimentalists or clinicians, there are signs that the tide is turning and that increasing numbers of those involved in cancer research and mathematical modellers are recognizing that by working together they might more rapidly advance our understanding of cancer and improve its treatment.

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Year:  2010        PMID: 20179714     DOI: 10.1038/nrc2808

Source DB:  PubMed          Journal:  Nat Rev Cancer        ISSN: 1474-175X            Impact factor:   60.716


  74 in total

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

Authors:  Amy L Bauer; Trachette L Jackson; Yi Jiang
Journal:  Biophys J       Date:  2007-02-02       Impact factor: 4.033

Review 2.  Tumor angiogenesis.

Authors:  J Folkman
Journal:  Adv Cancer Res       Date:  1974       Impact factor: 6.242

3.  A mathematical model for the role of cell signal transduction in the initiation and inhibition of angiogenesis.

Authors:  Howard A Levine; Anna L Tucker; Marit Nilsen-Hamilton
Journal:  Growth Factors       Date:  2002-12       Impact factor: 2.511

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

Authors:  J S Lowengrub; H B Frieboes; F Jin; Y-L Chuang; X Li; P Macklin; S M Wise; V Cristini
Journal:  Nonlinearity       Date:  2010

Review 5.  Computational models of the heart and their use in assessing the actions of drugs.

Authors:  Denis Noble
Journal:  J Pharmacol Sci       Date:  2008-06       Impact factor: 3.337

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

Authors:  U Bertheim; P A Hofer; A Engström-Laurent; S Hellström
Journal:  Br J Plast Surg       Date:  2004-07

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

Authors:  Katie Bentley; Holger Gerhardt; Paul A Bates
Journal:  J Theor Biol       Date:  2007-09-19       Impact factor: 2.691

8.  Mutation and cancer: statistical study of retinoblastoma.

Authors:  A G Knudson
Journal:  Proc Natl Acad Sci U S A       Date:  1971-04       Impact factor: 11.205

9.  Transcriptional network governing the angiogenic switch in human pancreatic cancer.

Authors:  Amir Abdollahi; Christian Schwager; Jörg Kleeff; Irene Esposito; Sophie Domhan; Peter Peschke; Kai Hauser; Philip Hahnfeldt; Lynn Hlatky; Jürgen Debus; Jeffrey M Peters; Helmut Friess; Judah Folkman; Peter E Huber
Journal:  Proc Natl Acad Sci U S A       Date:  2007-07-24       Impact factor: 11.205

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

Authors:  Mindy D Szeto; Gargi Chakraborty; Jennifer Hadley; Russ Rockne; Mark Muzi; Ellsworth C Alvord; Kenneth A Krohn; Alexander M Spence; Kristin R Swanson
Journal:  Cancer Res       Date:  2009-04-14       Impact factor: 12.701

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  120 in total

1.  Modelling spatially regulated beta-catenin dynamics and invasion in intestinal crypts.

Authors:  Philip J Murray; Jun-Won Kang; Gary R Mirams; Sung-Young Shin; Helen M Byrne; Philip K Maini; Kwang-Hyun Cho
Journal:  Biophys J       Date:  2010-08-04       Impact factor: 4.033

2.  Population genetics meets cancer genomics.

Authors:  Roland R Regoes
Journal:  Proc Natl Acad Sci U S A       Date:  2010-10-08       Impact factor: 11.205

Review 3.  Multiscale imaging and computational modeling of blood flow in the tumor vasculature.

Authors:  Eugene Kim; Spyros Stamatelos; Jana Cebulla; Zaver M Bhujwalla; Aleksander S Popel; Arvind P Pathak
Journal:  Ann Biomed Eng       Date:  2012-05-08       Impact factor: 3.934

4.  Clinically relevant modeling of tumor growth and treatment response.

Authors:  Thomas E Yankeelov; Nkiruka Atuegwu; David Hormuth; Jared A Weis; Stephanie L Barnes; Michael I Miga; Erin C Rericha; Vito Quaranta
Journal:  Sci Transl Med       Date:  2013-05-29       Impact factor: 17.956

5.  The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the Cellular Potts Model.

Authors:  Jonathan F Li; John Lowengrub
Journal:  J Theor Biol       Date:  2013-11-06       Impact factor: 2.691

6.  The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems.

Authors:  Min Wu; Hermann B Frieboes; Steven R McDougall; Mark A J Chaplain; Vittorio Cristini; John Lowengrub
Journal:  J Theor Biol       Date:  2012-12-07       Impact factor: 2.691

7.  Modeling iontophoretic drug delivery in a microfluidic device.

Authors:  Maryam Moarefian; Rafael V Davalos; Danesh K Tafti; Luke E Achenie; Caroline N Jones
Journal:  Lab Chip       Date:  2020-09-01       Impact factor: 6.799

8.  Mathematical models of the transitions between endocrine therapy responsive and resistant states in breast cancer.

Authors:  Chun Chen; William T Baumann; Jianhua Xing; Lingling Xu; Robert Clarke; John J Tyson
Journal:  J R Soc Interface       Date:  2014-05-07       Impact factor: 4.118

9.  A general reaction-diffusion model of acidity in cancer invasion.

Authors:  Jessica B McGillen; Eamonn A Gaffney; Natasha K Martin; Philip K Maini
Journal:  J Math Biol       Date:  2013-03-28       Impact factor: 2.259

Review 10.  The dynamic control of signal transduction networks in cancer cells.

Authors:  Walter Kolch; Melinda Halasz; Marina Granovskaya; Boris N Kholodenko
Journal:  Nat Rev Cancer       Date:  2015-08-20       Impact factor: 60.716

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