TY - JOUR
T1 - Mathematical model of pulsed immunotherapy for superficial bladder cancer
AU - Bunimovich-Mendrazitsky, Svetlana
AU - Byrne, Helen
AU - Stone, Lewi
N1 - Funding Information:
We thank Professors Nir Ben-Tal and Moshe Aronson, Drs. Eliezer Shochat and David Bunimovich for fruitful and stimulating discussions. This study was supported by a fellowship from the Edmond J. Safra Bioinformatics program at Tel-Aviv University. We gratefully acknowledge the financial assistance received from the British Council through the Research Exchange Programme. The RXP award supported several visits to the UK and was crucial to the research collaboration which resulted in the writing of this paper.
PY - 2008/10
Y1 - 2008/10
N2 - 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.
AB - 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.
KW - Immune response
KW - Impulsive differential equations
KW - Therapy schedule
KW - Transitional cell carcinoma (TCC)
UR - https://www.scopus.com/pages/publications/52549099935
U2 - 10.1007/s11538-008-9344-z
DO - 10.1007/s11538-008-9344-z
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C2 - 18716846
AN - SCOPUS:52549099935
SN - 0092-8240
VL - 70
SP - 2055
EP - 2076
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
IS - 7
ER -