Advanced search
Publication Cover
Computer Methods in Biomechanics and Biomedical Engineering Volume 27, 2024 - Issue 8
Submit an article Journal homepage
125
Views
0
CrossRef citations to date
0
Altmetric
RESEARCH ARTICLE

Multiscale modeling of the dynamic growth of cancerous tumors under the influence of chemotherapy drugs

Emad Farjamia School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, IranView further author information
&
Mohammad Mahjoobb Department of Engineering, School of Engineering, Science and Technology, CCSU, New Britain, CT, USACorrespondence[email protected]
View further author information
Pages 919-930 | Received 25 Oct 2022, Accepted 12 May 2023, Published online: 25 May 2023

References

  • Ateshian GA, Costa KD, Azeloglu EU, Morrison B, Hung CT. 2009. Continuum modeling of biological tissue growth by cell division, and alteration of intracellular osmolytes and extracellular fixed charge density. J Biomech Eng. 131(10):101001.
  • Bekisz S, Geris L. 2020. Cancer modeling: from mechanistic to data-driven approaches, and from fundamental insights to clinical applications. J Comput Sci. 46:101198.
  • Bernard A, Kimko H, Mital D, Poggesi I. 2012. Mathematical modeling of tumor growth and tumor growth inhibition in oncology drug development. Expert Opin Drug Metab Toxicol. 8(9):1057–1069.
  • Brady R, Enderling H. 2019. Mathematical models of cancer: when to predict novel therapies, and when not to. Bull Math Biol. 81(10):3722–3731.
  • Cooper G, Hausman R. 2007. The cell: a molecular approach (4th ed.). Sunderland: Sinauer Associates. Chapter 16, The cell cycle; p. 650.
  • Dzwinel W, et al. 2017. Continuous and discrete models of melanoma progression simulated in multi-GPU environment. In: Parallel processing and applied mathematics. Berlin: Springer.
  • Enderling H, Chaplain MAJ. 2014. Mathematical modeling of tumor growth and treatment. Curr Pharm Des. 20(30):4934–4940.
  • Gatti-Mays ME, Balko JM, Gameiro SR, Bear HD, Prabhakaran S, Fukui J, Disis ML, Nanda R, Gulley JL, Kalinsky K, et al. 2019. If we build it they will come: targeting the immune response to breast cancer. NPJ Breast Cancer. 5(1):37.
  • Hadjiandreou MM, Mitsis GD. 2014. Mathematical modeling of tumor growth, drug-resistance, toxicity, and optimal therapy design. IEEE Trans Biomed Eng. 61(2):415–425.
  • Itzhak DN, Tyanova S, Cox J, Borner GH. 2016. Global quantitative and dynamic mapping of protein subcellular localization. eLife. 5:e16950.
  • Jiang P, Sellers WR, Liu XS. 2018. Big data approaches for modeling response and resistance to cancer drugs. Annu Rev Biomed Data Sci. 1:1–27.
  • Levine AB, Schlosser C, Grewal J, Coope R, Jones SJM, Yip S. 2019. Rise of the machines: advances in deep learning for cancer diagnosis. Trends Cancer. 5(3):157–169.
  • Liang W, Zheng Y, Zhang J, Sun X. 2019. Multiscale modeling reveals angiogenesis-induced drug resistance in brain tumors and predicts a synergistic drug combination targeting EGFR and VEGFR pathways. BMC Bioinform. 20(S7):59–71.
  • Maas SA, Ellis BJ, Ateshian GA, Weiss JA. 2012. FEBio: finite elements for biomechanics. J Biomech Eng. 134(1):011005.
  • Makin G, Hickman JA. 2000. Apoptosis and cancer chemotherapy. Cell Tissue Res. 301(1):143–152.
  • Mauck RL, Hung CT, Ateshian GA. 2003. Modeling of neutral solute transport in a dynamically loaded porous permeable gel: implications for articular cartilage biosynthesis and tissue engineering. J Biomech Eng. 125(5):602–614.
  • National Cancer Institute ( 2019, September 24). Immunotherapy to treat cancer. https://www.cancer.gov/about-cancer/treatment/types/immunotherapy.
  • Pratt WB, Ensminger WD. 1994. The anticancer drugs. Oxford: Oxford University Press.
  • Sun X, Hu B. 2018. Mathematical modeling and computational prediction of cancer drug resistance. Brief Bioinform. 19(6):1382–1399.
  • Sun X, Zhang L, Tan H, Bao J, Strouthos C, Zhou X. 2012. Multi-scale agent-based brain cancer modeling and prediction of TKI treatment response: incorporating EGFR signaling pathway and angiogenesis. BMC Bioinform. 13(1):14.
  • Teusink B, Diderich JA, Westerhoff HV, van Dam K, Walsh MC. 1998. Intracellular glucose concentration in derepressed yeast cells consuming glucose is high enough to reduce the glucose transport rate by 50%. J Bacteriol. 180(3):556–562.
  • Valentim CA, Rabi JA, David SA. 2021. Fractional mathematical oncology: on the potential of non-integer order calculus applied to interdisciplinary models. Biosystems. 204:104377.
  • Ward JP, King JR. 1997. Mathematical modelling of avascular-tumour growth. Math Med Biol J IMA. 14(1):39–69.
  • Ward JP, King JR. 2003. Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures. Math Biosci. 181(2):177–207.
  • Zangooei MH, Habibi J. 2017. Hybrid multiscale modeling and prediction of cancer cell behavior. PLoS One. 12(8):e0183810.
  • Zitvogel L, Apetoh L, Ghiringhelli F, Kroemer G. 2008. Immunological aspects of cancer chemotherapy. Nat Rev Immunol. 8(1):59–73.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.