Literature DB >> 28081961

Environmental factors in breast cancer invasion: a mathematical modelling review.

Alex Simmons1, Pamela M Burrage1, Dan V Nicolau2, Sunil R Lakhani3, Kevin Burrage4.   

Abstract

This review presents a brief overview of breast cancer, focussing on its heterogeneity and the role of mathematical modelling and simulation in teasing apart the underlying biophysical processes. Following a brief overview of the main known pathophysiological features of ductal carcinoma, attention is paid to differential equation-based models (both deterministic and stochastic), agent-based modelling, multi-scale modelling, lattice-based models and image-driven modelling. A number of vignettes are presented where these modelling approaches have elucidated novel aspects of breast cancer dynamics, and we conclude by offering some perspectives on the role mathematical modelling can play in understanding breast cancer development, invasion and treatment therapies.
Copyright © 2016 Royal College of Pathologists of Australasia. Published by Elsevier B.V. All rights reserved.

Entities:  

Keywords:  Breast cancer; ductal carcinoma in situ; mathematical modelling; mathematical oncology

Mesh：

Year:  2017        PMID： 28081961     DOI： 10.1016/j.pathol.2016.11.004

Source DB:  PubMed          Journal:  Pathology        ISSN： 0031-3025            Impact factor:   5.306


  6 in total

Review 1.  Review of quantitative multiscale imaging of breast cancer.

Authors:  Michael A Pinkert; Lonie R Salkowski; Patricia J Keely; Timothy J Hall; Walter F Block; Kevin W Eliceiri
Journal:  J Med Imaging (Bellingham)       Date:  2018-01-22

2.  Matrine suppresses breast cancer metastasis by targeting ITGB1 and inhibiting epithelial-to-mesenchymal transition.

Authors:  Lili Ren; Wenju Mo; Linling Wang; Xiaojia Wang
Journal:  Exp Ther Med       Date:  2019-11-18       Impact factor: 2.447

Review 3.  Mechanical Pressure Driving Proteoglycan Expression in Mammographic Density: a Self-perpetuating Cycle?

Authors:  Gina Reye; Xuan Huang; Larisa M Haupt; Ryan J Murphy; Jason J Northey; Erik W Thompson; Konstantin I Momot; Honor J Hugo
Journal:  J Mammary Gland Biol Neoplasia       Date:  2021-08-27       Impact factor: 2.673

4.  Modeling and Analysis of Breast Cancer with Adverse Reactions of Chemotherapy Treatment through Fractional Derivative.

Authors:  Tao-Qian Tang; Zahir Shah; Ebenezer Bonyah; Rashid Jan; Meshal Shutaywi; Nasser Alreshidi
Journal:  Comput Math Methods Med       Date:  2022-02-12       Impact factor: 2.238

5.  MicroRNA-16-5p overexpression suppresses proliferation and invasion as well as triggers apoptosis by targeting VEGFA expression in breast carcinoma.

Authors:  Yunhui Qu; Hongtao Liu; Xinquan Lv; Yuqiong Liu; Xiaojuan Wang; Min Zhang; Xiaqing Zhang; Yuenan Li; Qianqian Lou; Shenglei Li; Huixiang Li
Journal:  Oncotarget       Date:  2017-08-23

6.  Optimal solution of the fractional order breast cancer competition model.

Authors:  H Hassani; J A Tenreiro Machado; Z Avazzadeh; E Safari; S Mehrabi
Journal:  Sci Rep       Date:  2021-08-02       Impact factor: 4.379
  6 in total

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