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T model of growth and its application in systems of tumor-immune dynamics
Computational modeling approaches to studying the dynamics of oncolytic viruses
1. | Department of Ecology and Evolutionary Biology, University of California, 321 Steinhaus Hall, Irvine, CA 92617, United States |
References:
[1] |
J. C. Bell, Oncolytic viruses: What's next?,, Curr. Cancer Drug Targets, 7 (2007), 127. Google Scholar |
[2] |
J. C. Bell, B. Lichty and D. Stojdl, Getting oncolytic virus therapies off the ground,, Cancer Cell, 4 (2003), 7. Google Scholar |
[3] |
A. M. Crompton and D. H. Kirn, From ONYX-015 to armed vaccinia viruses: The education and evolution of oncolytic virus development,, Curr. Cancer Drug Targets, 7 (2007), 133. Google Scholar |
[4] |
J. J. Davis and B. Fang, Oncolytic virotherapy for cancer treatment: Challenges and solutions,, J. Gene. Med., 7 (2005), 1380. Google Scholar |
[5] |
J. M. Kaplan, Adenovirus-based cancer gene therapy,, Curr. Gene Ther., 5 (2005), 595. Google Scholar |
[6] |
E. Kelly and S. J. Russell, History of oncolytic viruses: Genesis to genetic engineering,, Mol. Ther., 15 (2007), 651. Google Scholar |
[7] |
D. H. Kirn and F. McCormick, Replicating viruses as selective cancer therapeutics,, Mol. Med. Today, 2 (1996), 519. Google Scholar |
[8] |
F. McCormick, Cancer-specific viruses and the development of ONYX-015,, Cancer Biol. Ther., 2 (2003), 157. Google Scholar |
[9] |
F. McCormick, Future prospects for oncolytic therapy,, Oncogene, 24 (2005), 7817. Google Scholar |
[10] |
C. C. O'Shea, Viruses - seeking and destroying the tumor program,, Oncogene, 24 (2005), 7640. Google Scholar |
[11] |
K. A. Parato, et. al., Recent progress in the battle between oncolytic viruses and tumours,, Nat. Rev. Cancer, 5 (2005), 965. Google Scholar |
[12] |
D. E. Post, et. al., Cancer scene investigation: how a cold virus became a tumor killer,, Future Oncol., 1 (2005), 247. Google Scholar |
[13] |
M. S. Roberts, et. al., Naturally oncolytic viruses,, Curr. Opin. Mol. Ther., 8 (2006), 314.
doi: 10.1080/08898480600950473. |
[14] |
M. J. Vaha-Koskela, J. E. Heikkila and A. E. Hinkkanen, Oncolytic viruses in cancer therapy,, Cancer Lett., (2007). Google Scholar |
[15] |
H. H. Wong, N. R. Lemoine and Y. Wang, Oncolytic viruses for cancer therapy: Overcoming the obstacles,, Viruses, 2 (2010), 78. Google Scholar |
[16] |
D. Koppers-Lalic and R. C. Hoeben, Non-human viruses developed as therapeutic agent for use in humans,, Rev. Med. Virol, 21 (2011), 227. Google Scholar |
[17] |
R. L. Martuza, et. al., Experimental therapy of human glioma by means of a genetically engineered virus mutant,, Science, 252 (1991), 854. Google Scholar |
[18] |
K. Garber, China approves world's first oncolytic virus therapy for cancer treatment,, J. Natl. Cancer Inst., 98 (2006), 298. Google Scholar |
[19] |
R. M. Eager and J. Nemunaitis, Clinical development directions in oncolytic viral therapy,, Cancer Gene. Ther., 18 (2011), 305. Google Scholar |
[20] |
D. Wodarz, Viruses as antitumor weapons: Defining conditions for tumor remission,, Cancer Res., 61 (2001), 3501. Google Scholar |
[21] |
D. Wodarz, Gene therapy for killing p53-negative cancer cells: Use of replicating versus nonreplicating agents,, Hum. Gene. Ther., 14 (2003), 153. Google Scholar |
[22] |
Z. Bajzer, et. al., Modeling of cancer virotherapy with recombinant measles viruses,, J. Theor. Biol., 252 (2008), 109.
doi: 10.1016/j.jtbi.2008.01.016. |
[23] |
M. Biesecker, et. al., Optimization of virotherapy for cancer,, Bull. Math. Biol., 72 (2010), 469.
doi: 10.1007/s11538-009-9456-0. |
[24] |
D. Dingli, et. al., Mathematical modeling of cancer radiovirotherapy,, Math. Biosci., 199 (2006), 55.
doi: 10.1016/j.mbs.2005.11.001. |
[25] |
D. Dingli, et. al., Dynamics of multiple myeloma tumor therapy with a recombinant measles virus,, Cancer Gene Ther., 16 (2009), 873. Google Scholar |
[26] |
A. Friedman, et. al., Glioma virotherapy: Effects of innate immune suppression and increased viral replication capacity,, Cancer Res., 66 (2006), 2314. Google Scholar |
[27] |
G. P. Karev, A. S. Novozhilov and E. V. Koonin, Mathematical modeling of tumor therapy with oncolytic viruses: effects of parametric heterogeneity on cell dynamics,, Biol. Direct, 1 (2006). Google Scholar |
[28] |
N. L. Komarova and D. Wodarz, ODE models for oncolytic virus dynamics,, J. Theor. Biol., 263 (2010), 530.
doi: 10.1016/j.jtbi.2010.01.009. |
[29] |
A. S. Novozhilov, et. al., Mathematical modeling of tumor therapy with oncolytic viruses: Regimes with complete tumor elimination within the framework of deterministic models,, Biol. Direct, 1 (2006). Google Scholar |
[30] |
L. M. Wein, J. T. Wu and D. H. Kirn, Validation and analysis of a mathematical model of a replication-competent oncolytic virus for cancer treatment: Implications for virus design and delivery,, Cancer Res., 63 (2003), 1317. Google Scholar |
[31] |
D. Wodarz, Computational approaches to study oncolytic virus therapy: Insights and challenges,, Gene Therapy and Molecular Biology, 8 (2004), 137. Google Scholar |
[32] |
D. Wodarz, Use of oncolytic viruses for the eradication of drug-resistant cancer cells,, J. R. Soc. Interface, 6 (2009), 179. Google Scholar |
[33] |
D. Wodarz and N. Komarova, Towards predictive computational models of oncolytic virus therapy: Basis for experimental validation and model selection,, PLoS ONE, 4 (2009). Google Scholar |
[34] |
N. Bagheri, et. al., A dynamical systems model for combinatorial cancer therapy enhances oncolytic adenovirus efficacy by MEK-inhibition,, PLoS Comput. Biol., 7 (2011). Google Scholar |
[35] |
R. Zurakowski and D. Wodarz, Model-driven approaches for in vitro combination therapy using ONYX-015 replicating oncolytic adenovirus,, J. Theor. Biol., 245 (2007), 1.
doi: 10.1016/j.jtbi.2006.09.029. |
[36] |
W. Mok, et. al., Mathematical modeling of herpes simplex virus distribution in solid tumors: Implications for cancer gene therapy,, Clin. Cancer Res., 15 (2009), 2352. Google Scholar |
[37] |
L. R. Paiva, et. al., A multiscale mathematical model for oncolytic virotherapy,, Cancer Res., 69 (2009), 1205. Google Scholar |
[38] |
C. L. Reis, et. al., In silico evolutionary dynamics of tumour virotherapy,, Integr. Biol. (Camb), 2 (2010), 41. Google Scholar |
[39] |
L. You, C. T. Yang and D. M. Jablons, ONYX-015 works synergistically with chemotherapy in lung cancer cell lines and primary cultures freshly made from lung cancer patients,, Cancer Res., 60 (2000), 1009. Google Scholar |
[40] |
A. Chahlavi, et. al., Replication-competent herpes simplex virus vector G207 and cisplatin combination therapy for head and neck squamous cell carcinoma,, Neoplasia, 1 (1999), 162. Google Scholar |
[41] |
I. A. Rodriguez-Brenes, N. L. Komarova and D. Wodarz, Evolutionary dynamics of feedback escape and the development of stem-cell-driven cancers,, Proc. Natl. Acad. Sci. U S A, 108 (2011), 18983. Google Scholar |
[42] |
D. Wodarz, et. al., Complex spatial dynamics of oncolytic viruses in vitro: Mathematical and experimental approaches,, PLoS Comput. Biol., 8 (2012). Google Scholar |
[43] |
K. Sato, H. Matsuda and A. Sasaki, Pathogen invasion and host extinction in lattice structured populations,, Journal of Mathematical Biology, 32 (1994), 251. Google Scholar |
[44] |
A. M. Deroos, E. Mccauley and W. G. Wilson, Mobility versus density-limited predator prey dynamics on different spatial scales,, Proceedings of the Royal Society of London Series B-Biological Sciences, 246 (1991), 117. Google Scholar |
[45] |
M. Pascual, P. Mazzega and S. A. Levin, Oscillatory dynamics and spatial scale: The role of noise and unresolved pattern,, Ecology, 82 (2001), 2357. Google Scholar |
[46] |
R. M. Anderson and R. M. May, "Infectious Diseases of Humans,", 1991, (). Google Scholar |
[47] |
M. A. Nowak and R. M. May, "Virus Dynamics. Mathematical Principles of Immunology and Virology,", 2000: Oxford University Press., ().
|
[48] |
M. P. Hassell, "The Spatial and Temporal Dynamics of Host-Parasitoid Interactions,", 2000, (). Google Scholar |
show all references
References:
[1] |
J. C. Bell, Oncolytic viruses: What's next?,, Curr. Cancer Drug Targets, 7 (2007), 127. Google Scholar |
[2] |
J. C. Bell, B. Lichty and D. Stojdl, Getting oncolytic virus therapies off the ground,, Cancer Cell, 4 (2003), 7. Google Scholar |
[3] |
A. M. Crompton and D. H. Kirn, From ONYX-015 to armed vaccinia viruses: The education and evolution of oncolytic virus development,, Curr. Cancer Drug Targets, 7 (2007), 133. Google Scholar |
[4] |
J. J. Davis and B. Fang, Oncolytic virotherapy for cancer treatment: Challenges and solutions,, J. Gene. Med., 7 (2005), 1380. Google Scholar |
[5] |
J. M. Kaplan, Adenovirus-based cancer gene therapy,, Curr. Gene Ther., 5 (2005), 595. Google Scholar |
[6] |
E. Kelly and S. J. Russell, History of oncolytic viruses: Genesis to genetic engineering,, Mol. Ther., 15 (2007), 651. Google Scholar |
[7] |
D. H. Kirn and F. McCormick, Replicating viruses as selective cancer therapeutics,, Mol. Med. Today, 2 (1996), 519. Google Scholar |
[8] |
F. McCormick, Cancer-specific viruses and the development of ONYX-015,, Cancer Biol. Ther., 2 (2003), 157. Google Scholar |
[9] |
F. McCormick, Future prospects for oncolytic therapy,, Oncogene, 24 (2005), 7817. Google Scholar |
[10] |
C. C. O'Shea, Viruses - seeking and destroying the tumor program,, Oncogene, 24 (2005), 7640. Google Scholar |
[11] |
K. A. Parato, et. al., Recent progress in the battle between oncolytic viruses and tumours,, Nat. Rev. Cancer, 5 (2005), 965. Google Scholar |
[12] |
D. E. Post, et. al., Cancer scene investigation: how a cold virus became a tumor killer,, Future Oncol., 1 (2005), 247. Google Scholar |
[13] |
M. S. Roberts, et. al., Naturally oncolytic viruses,, Curr. Opin. Mol. Ther., 8 (2006), 314.
doi: 10.1080/08898480600950473. |
[14] |
M. J. Vaha-Koskela, J. E. Heikkila and A. E. Hinkkanen, Oncolytic viruses in cancer therapy,, Cancer Lett., (2007). Google Scholar |
[15] |
H. H. Wong, N. R. Lemoine and Y. Wang, Oncolytic viruses for cancer therapy: Overcoming the obstacles,, Viruses, 2 (2010), 78. Google Scholar |
[16] |
D. Koppers-Lalic and R. C. Hoeben, Non-human viruses developed as therapeutic agent for use in humans,, Rev. Med. Virol, 21 (2011), 227. Google Scholar |
[17] |
R. L. Martuza, et. al., Experimental therapy of human glioma by means of a genetically engineered virus mutant,, Science, 252 (1991), 854. Google Scholar |
[18] |
K. Garber, China approves world's first oncolytic virus therapy for cancer treatment,, J. Natl. Cancer Inst., 98 (2006), 298. Google Scholar |
[19] |
R. M. Eager and J. Nemunaitis, Clinical development directions in oncolytic viral therapy,, Cancer Gene. Ther., 18 (2011), 305. Google Scholar |
[20] |
D. Wodarz, Viruses as antitumor weapons: Defining conditions for tumor remission,, Cancer Res., 61 (2001), 3501. Google Scholar |
[21] |
D. Wodarz, Gene therapy for killing p53-negative cancer cells: Use of replicating versus nonreplicating agents,, Hum. Gene. Ther., 14 (2003), 153. Google Scholar |
[22] |
Z. Bajzer, et. al., Modeling of cancer virotherapy with recombinant measles viruses,, J. Theor. Biol., 252 (2008), 109.
doi: 10.1016/j.jtbi.2008.01.016. |
[23] |
M. Biesecker, et. al., Optimization of virotherapy for cancer,, Bull. Math. Biol., 72 (2010), 469.
doi: 10.1007/s11538-009-9456-0. |
[24] |
D. Dingli, et. al., Mathematical modeling of cancer radiovirotherapy,, Math. Biosci., 199 (2006), 55.
doi: 10.1016/j.mbs.2005.11.001. |
[25] |
D. Dingli, et. al., Dynamics of multiple myeloma tumor therapy with a recombinant measles virus,, Cancer Gene Ther., 16 (2009), 873. Google Scholar |
[26] |
A. Friedman, et. al., Glioma virotherapy: Effects of innate immune suppression and increased viral replication capacity,, Cancer Res., 66 (2006), 2314. Google Scholar |
[27] |
G. P. Karev, A. S. Novozhilov and E. V. Koonin, Mathematical modeling of tumor therapy with oncolytic viruses: effects of parametric heterogeneity on cell dynamics,, Biol. Direct, 1 (2006). Google Scholar |
[28] |
N. L. Komarova and D. Wodarz, ODE models for oncolytic virus dynamics,, J. Theor. Biol., 263 (2010), 530.
doi: 10.1016/j.jtbi.2010.01.009. |
[29] |
A. S. Novozhilov, et. al., Mathematical modeling of tumor therapy with oncolytic viruses: Regimes with complete tumor elimination within the framework of deterministic models,, Biol. Direct, 1 (2006). Google Scholar |
[30] |
L. M. Wein, J. T. Wu and D. H. Kirn, Validation and analysis of a mathematical model of a replication-competent oncolytic virus for cancer treatment: Implications for virus design and delivery,, Cancer Res., 63 (2003), 1317. Google Scholar |
[31] |
D. Wodarz, Computational approaches to study oncolytic virus therapy: Insights and challenges,, Gene Therapy and Molecular Biology, 8 (2004), 137. Google Scholar |
[32] |
D. Wodarz, Use of oncolytic viruses for the eradication of drug-resistant cancer cells,, J. R. Soc. Interface, 6 (2009), 179. Google Scholar |
[33] |
D. Wodarz and N. Komarova, Towards predictive computational models of oncolytic virus therapy: Basis for experimental validation and model selection,, PLoS ONE, 4 (2009). Google Scholar |
[34] |
N. Bagheri, et. al., A dynamical systems model for combinatorial cancer therapy enhances oncolytic adenovirus efficacy by MEK-inhibition,, PLoS Comput. Biol., 7 (2011). Google Scholar |
[35] |
R. Zurakowski and D. Wodarz, Model-driven approaches for in vitro combination therapy using ONYX-015 replicating oncolytic adenovirus,, J. Theor. Biol., 245 (2007), 1.
doi: 10.1016/j.jtbi.2006.09.029. |
[36] |
W. Mok, et. al., Mathematical modeling of herpes simplex virus distribution in solid tumors: Implications for cancer gene therapy,, Clin. Cancer Res., 15 (2009), 2352. Google Scholar |
[37] |
L. R. Paiva, et. al., A multiscale mathematical model for oncolytic virotherapy,, Cancer Res., 69 (2009), 1205. Google Scholar |
[38] |
C. L. Reis, et. al., In silico evolutionary dynamics of tumour virotherapy,, Integr. Biol. (Camb), 2 (2010), 41. Google Scholar |
[39] |
L. You, C. T. Yang and D. M. Jablons, ONYX-015 works synergistically with chemotherapy in lung cancer cell lines and primary cultures freshly made from lung cancer patients,, Cancer Res., 60 (2000), 1009. Google Scholar |
[40] |
A. Chahlavi, et. al., Replication-competent herpes simplex virus vector G207 and cisplatin combination therapy for head and neck squamous cell carcinoma,, Neoplasia, 1 (1999), 162. Google Scholar |
[41] |
I. A. Rodriguez-Brenes, N. L. Komarova and D. Wodarz, Evolutionary dynamics of feedback escape and the development of stem-cell-driven cancers,, Proc. Natl. Acad. Sci. U S A, 108 (2011), 18983. Google Scholar |
[42] |
D. Wodarz, et. al., Complex spatial dynamics of oncolytic viruses in vitro: Mathematical and experimental approaches,, PLoS Comput. Biol., 8 (2012). Google Scholar |
[43] |
K. Sato, H. Matsuda and A. Sasaki, Pathogen invasion and host extinction in lattice structured populations,, Journal of Mathematical Biology, 32 (1994), 251. Google Scholar |
[44] |
A. M. Deroos, E. Mccauley and W. G. Wilson, Mobility versus density-limited predator prey dynamics on different spatial scales,, Proceedings of the Royal Society of London Series B-Biological Sciences, 246 (1991), 117. Google Scholar |
[45] |
M. Pascual, P. Mazzega and S. A. Levin, Oscillatory dynamics and spatial scale: The role of noise and unresolved pattern,, Ecology, 82 (2001), 2357. Google Scholar |
[46] |
R. M. Anderson and R. M. May, "Infectious Diseases of Humans,", 1991, (). Google Scholar |
[47] |
M. A. Nowak and R. M. May, "Virus Dynamics. Mathematical Principles of Immunology and Virology,", 2000: Oxford University Press., ().
|
[48] |
M. P. Hassell, "The Spatial and Temporal Dynamics of Host-Parasitoid Interactions,", 2000, (). Google Scholar |
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