Volume 8, Issue 1, June 2020, Page: 20-28
The Effect of the Infection Rate on Oncolytic Virotherapy
Dongwook Kim, Department of Mathematics, Texas A&M University-Kingsville, Kingsville, United States of America
Haeyoung Kim, Department of Biological and Health Sciences, Texas A&M University-Kingsville, Kingsville, United States of America
Hui Wu, Department of Mathematics, Clark Atlanta University, Atlanta, United States of America
Dong-Hoon Shin, Department of Global Finance and Banking, Inha University, Incheon, South Korea
Received: Jun. 10, 2020;       Accepted: Jun. 23, 2020;       Published: Jul. 4, 2020
DOI: 10.11648/j.cbb.20200801.14      View  255      Downloads  111
Oncolytic viruses have become a novel therapeutic tool for various cancer treatments. Several naturally occurring oncolytic viruses and engineered oncolytic viruses are developed for oncolytic virotherapies. Although we have a good understanding on molecular mechanisms of viral replication and virus-induced cell lysis at the cellular level, it is unclear how oncolytic viruses and cancer cells interact as a population. Several mathematical models of oncolytic virotherapy have been developed to advance the understanding of dynamic interaction between oncolytic viruses and cancer cells. Many authors investigated the effect of the virus replication on dynamics of cancer cell population and proposed that the bursting rate of viruses is an important factor for successful oncolytic virotherapy. In this study, we investigate the effect of infection rate of oncolytic viruses on an oncolytic virotherapy model. Particularly, we focused on studying the relationship between two control parameters, bursting rate and infection rate of the virus, to generate the patterns from equilibrium steady state to periodic solutions. Based on the model, the interaction between cancer cells and oncolytic viruses shows an intriguing two-dimensional bifurcation, showing three parameter regions (equilibrium steady state, damped oscillations and oscillations). Our result suggests that both infection rate and bursting rate are crucial properties of oncolytic viruses to design a successful oncolytic virotherapy.
Computational Biology, Oncolytic Virotherapy, Bifurcation, Dynamical System
To cite this article
Dongwook Kim, Haeyoung Kim, Hui Wu, Dong-Hoon Shin, The Effect of the Infection Rate on Oncolytic Virotherapy, Computational Biology and Bioinformatics. Vol. 8, No. 1, 2020, pp. 20-28. doi: 10.11648/j.cbb.20200801.14
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Boozari, B., Mundt, B., Woller, N., Struver, N., Gurlevik, E., Schache, P., Kloos, A., Knocke, S., Manns, M. P., Wirth, T. C. et al., Antitumoural immunity by virus-mediated immunogenic growth of hepatocellular carcinoma. Gut 2010, 59: 1416-1426.
Diaconu, I., Cerullo, V., Hirvinen, M. L., Escutenaire, S., Ugolini, M., Pesonen, S. K., Bramante, S., Parviainen, S., Kanerva, A., Loskog, A. S. et al., Immune response is an important aspect of the antitumor effect produced by a CD40L-encoding oncolytic adenovirus. Cancer Res. 2012, 72, 2327–2338.
Ito, H., Aoki, H., Kuhnel, F., Kondo, Y., Kubicka, S., Wirth, T., Iwado, E., Iwamaru, A., Fujiwara, K., Hess, K. R. et al., Autophagic cell death of malignant glioma cells induced by a conditionally replicating adenovirus. J. Natl. Cancer Inst. 2006, 98, 625–636.
Chiocca, E. A., Oncolytic viruses, Nature Reviews, Cancer, 2 (2002), 938–950.
Yu, Z., Chan, M.-K., O-charoenrat, P., Eisenberg, D. P., Shah, J. P., Singh, B., Fong, Y., Wong, R. J., Enhanced nectin-1 expression and herpes oncolytic sensitivity in highly migratory and invasive carcinoma. Clin. Cancer Res. 2005, 11, 4889–4897.
Garber, K. China approves world’s first oncolytic virus therapy for cancer treatment. J. Natl. Cancer Inst. 2006, 98, 298–300.
Bajzer, Z., Carr, T., Josic, K., Russel, S. J., Dingli, D., Modeling of cancer virotherapy with recombinant measles viruses, J. Theoretical Biology, 2008, 252, 109-122.
Wodarz, D. Viruses as Antitumor Weapons$: $ Defining Conditions for Tumor Remission, Cancer Res. 2001, 61, 3501-3507.
Tao, Y., Quo, Q., The competitive dynamics between tumor cells, a replication-competent virus and an immune response, J. Math. Biol. 2005, 51 (1), 37-78.
Friedman A, Tian JP, Fulci G et al., Glioma virotherapy$: $ effects of innate immune suppression and increased viral replication capacity. Cancer Res, 2006, 66 (4), 2314–2319.
Tian, J. P., The replicability of oncolytic virus: defining conditions in tumor virotherapy, Math. Biosci. Eng., 2011, 8, 841-860.
Wu, JT, Byrne, HM, Kirn, DH et al., Modeling and analysis of a virus that replicates selectively in tumor cells. Bull Math Biol, 2001, 63 (4), 731.
Wein, LM, Wu, JT, Kirn, DH., Validation and analysis of a mathematical model of a replication competent oncolytic virus for cancer treatment: implications for virus design and delivery. Cancer Res, 2003, 63 (6), 1317–1324.
Wu, J. T., Kirn, D. H., Wein, L. M., Analysis of a three-way race between tumor growth, a replication-competent virus and an immune response. Bull. Math. Bio. 66 (4), 605-625.
Burden, R. L., and Faires, J. D., Numerical Analysis. Boston: PWS Publishing Company, 1980.
Kim PS, Crivelli JJ, Choi IK, Yun CO, Wares JR. Quantitative impact of immunomodulation versus oncolysis with cytokine-expressing virus therapeutics. Math Biosci Eng. 2015; 12 (4): 841-858. doi: 10.3934/mbe.2015.12.841
Strogatz, S. H., Nonlinear Dynamics and Chaos. Perseus Books Publishing, LLC, 1994.
Lawler SE, Speranza MC, Cho CF, Chiocca EA. Oncolytic Viruses in Cancer Treatment: A Review. JAMA Oncol. 2017; 3 (6): 841-9.
Qiao J, Wang H, Kottke T, White C, Twigger K, Diaz RM, Thompson J, Selby P, de Bono J, Melcher A, Pandha H, Coffey M, Vile R, Harrington K. Cyclophosphamide facilitates antitumor efficacy against subcutaneous tumors following intravenous delivery of reovirus. Clin Cancer Res. 2008; 14 (1): 259-69.
Russell L, Peng KW, Russell SJ, Diaz RM. Oncolytic Viruses: Priming Time for Cancer Immunotherapy. BioDrugs. 2019; 33 (5): 485-501.
Simpson GR, Relph K, Harrington K, Melcher A, Pandha H. Cancer immunotherapy via combining oncolytic virotherapy with chemotherapy: recent advances. Oncolytic Virother. 2016; 5: 1-13.
Browse journals by subject