Mathematical model of pulsed immunotherapy for superficial bladder cancer

Bulletin of Mathematical Biology
Svetlana Bunimovich-MendrazitskyLewi Stone

Abstract

We present a theoretical study of superficial bladder cancer growth and its treatment via pulsed immunotherapy with Bacillus Calmette-Guérin (BCG), an attenuated strain of Mycobacterium bovis. BCG pulsed immunotherapy is a clinically established procedure for the treatment of superficial bladder cancer. In this paper, periodic BCG instillations are modeled using impulsive differential equations, which are studied using a combination of analytical and numerical techniques. In this way, we determine critical threshold values of the BCG instillation dose and rate of pulsing for successful treatment. We also identify treatment regimes in which tumor destruction occurs, but undesirable side effects are maintained at low levels by the immune system.

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Citations

Apr 2, 2013·Clinical & Experimental Metastasis·Maymona Al-Husari, Steven D Webb
Aug 31, 2013·PloS One·Maymona Al-Husari, Steven D Webb
Jun 3, 2011·Mathematical Biosciences and Engineering : MBE·Svetlana Bunimovich-Mendrazitsky, Yakov Goltser
Jun 3, 2011·Mathematical Biosciences and Engineering : MBE·Urszula Foryś, Jan Poleszczuk
Jan 24, 2013·Journal of Theoretical Biology·Maymona Al-Husari, Steven D Webb
Feb 22, 2011·Journal of Theoretical Biology·Svetlana Bunimovich-MendrazitskyJoel Chaskalovic
Jan 5, 2010·Computers in Biology and Medicine·A Ghaffari, N Naserifar
Dec 10, 2015·Current Problems in Cancer·Rachel Walker, Heiko Enderling
Jan 15, 2011·Clinical & Developmental Immunology·Anna Lena WoelkeRobert Preissner
Apr 19, 2015·Mathematical Medicine and Biology : a Journal of the IMA·Svetlana Bunimovich-MendrazitskyNatalie Kronik
Jan 10, 2018·Computational and Mathematical Methods in Medicine·Farouk Tijjani SaadBilgen Kaymakamzade
Jan 14, 2020·IET Systems Biology·Saeed Khorashadizadeh, Ali Akbarzadeh Kalat
Jul 1, 2017·Journal of the Royal Society, Interface·Anna KonstorumReinhard C Laubenbacher
Oct 25, 2016·Mathematical Biosciences and Engineering : MBE·K E Starkov, Svetlana Bunimovich-Mendrazitsky
Jul 25, 2019·Bulletin of Mathematical Biology·Renee Brady, Heiko Enderling
Aug 15, 2018·Computational and Mathematical Methods in Medicine·Leonid Shaikhet, Svetlana Bunimovich-Mendrazitsky
Oct 23, 2020·Physics in Medicine and Biology·Damijan Valentinuzzi, Robert Jeraj
Nov 11, 2019·Journal of Theoretical Biology·Adarsh KumbhariPeter P Lee
Jan 14, 2010·Current Opinion in Pediatrics

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