Chemotherapy of vascularised tumours: role of vessel density and the effect of vascular "pruning"

Journal of Theoretical Biology
Alberto d'Onofrio, Alberto Gandolfi

Abstract

In this work we propose to model chemotherapy taking into account the mutual interaction between tumour growth and the development of tumour vasculature. By adopting a simple model for this interaction, and assuming that the efficacy of a drug can be modulated by the vessel density, we study the constant continuous therapy, the periodic bolus-based therapy, and combined therapy in which a chemotherapic drug is associated with an anti-angiogenic agent. The model allows to represent the vessel-disrupting activity of some standard chemotherapic drugs, and shows, in the case of constant continuous drug administration, the possibility of multiple stable equilibria. The multistability suggests an explanation for some sudden losses of control observed during therapy, and for the beneficial effect of vascular "pruning" exerted by anti-angiogenic agents in combined therapy. Moreover, in case of periodic therapies in which the drug amount administered per unit time is constant ("metronomic" delivery), the model predicts a response, as a function of the bolus frequency, significantly influenced by the extent of the anti-angiogenic activity of the chemotherapic drug and by the dependence of the drug efficacy on the vessel density.

References

Jan 1, 1975·Annals of Internal Medicine·J Folkman
Apr 1, 1992·Mathematical Biosciences·L Cojocaru, Z Agur
Mar 1, 1972·Annals of Surgery·J Folkman
Dec 1, 1996·Mathematical Biosciences·E Afenya
Dec 31, 1997·Mathematical Biosciences·J C Panetta
Feb 8, 2002·Cancer Metastasis Reviews·J H Goldie
Nov 5, 2002·Nature Reviews. Cancer·Shahin RafiiBeate Heissig
Dec 3, 2002·International Journal of Radiation Oncology, Biology, Physics·Dietmar W Siemann, Amyn M Rojiani
May 17, 2003·Bulletin of Mathematical Biology·Ayla ErgunLawrence M Wein
Jul 26, 2003·Annals of Oncology : Official Journal of the European Society for Medical Oncology·P BoyleU Veronesi
Aug 12, 2003·Bulletin of Mathematical Biology·Alessandro BertuzziAlberto Gandolfi
Jun 2, 2004·Nature Reviews. Cancer·Robert S Kerbel, Barton A Kamen
Sep 15, 2004·Mathematical Biosciences·Alberto d'Onofrio, Alberto Gandolfi
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alberto d'Onofrio
Nov 27, 2007·Journal of Managed Care Pharmacy : JMCP·David Frame
Jan 4, 2008·Clinical Cancer Research : an Official Journal of the American Association for Cancer Research·John C PanettaClinton F Stewart
Jul 23, 2008·BMC Cancer·Paolo Ubezio, David Cameron
Nov 27, 2008·Mathematical Medicine and Biology : a Journal of the IMA·Alberto D'Onofrio, Alberto Gandolfi
Aug 27, 2009·Mathematical Biosciences·Alberto d'OnofrioHeinz Schättler
Jul 1, 2005·Mathematical Biosciences and Engineering : MBE·Urszula ForysYuri Kogan

❮ Previous
Next ❯

Citations

Jan 15, 2011·Mathematical Biosciences·Alberto d'OnofrioBernardo Monechi
Sep 12, 2015·Seminars in Cancer Biology·Sébastien BenzekryJoseph Ciccolini
May 9, 2013·Computational and Mathematical Methods in Medicine·Marzena Dołbniak, Andrzej Swierniak
Jul 16, 2013·Journal of Theoretical Biology·Sébastien Benzekry, Philip Hahnfeldt
Aug 17, 2014·Journal of Theoretical Biology·Leonid BerezanskyLev Idels
Apr 11, 2018·PloS One·Avner Friedman, Nourridine Siewe
Sep 13, 2019·The AAPS Journal·Pascal SchulthessPiet H van der Graaf
Nov 24, 2016·Mathematical Biosciences and Engineering : MBE·Jerzy KlamkaAndrzej Swierniak
Jan 1, 2021·BioMed Research International·Heshu Sulaiman RahmanNoorjahan Banu Alitheen
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alberto d'Onofrio, Alberto Gandolfi

❮ Previous
Next ❯

Related Concepts

Related Feeds

Angiogenesis Inhibitors to Treat Cancer

Cancer treatments including angiogenesis inhibitors prevent tumor cells from receiving nutrients and oxygen. Here is the latest research on angiogenesis inhibitors for the treatment of cancer.

Related Papers

European Journal of Pharmacology
Andrzej SwierniakJaroslaw Smieja
Mathematical Medicine and Biology : a Journal of the IMA
Alberto d'Onofrio, Alberto Gandolfi
Progress in Biophysics and Molecular Biology
Heiko Enderling, Philip Hahnfeldt
© 2021 Meta ULC. All rights reserved