This paper applies an optimal control approach to study the dynamics of a basic Oncolytic Virotherapy model. This study applies mathematical modeling based on an established basic oncolytic virotherapy model for tumor growth. Choosing an appropriate control strategy is essential to reduce the cost of the therapy. By applying optimal control theory, we seek to minimize the cost of virotherapy and reduce the load of tumor cells. The existence of optimal control is proved. State solution given an optimal strategy and the optimal control is determined. Numerical simulation is carried out to visualize and support our results.
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Mashhad Univ Med Sci, Social Determinants Hlth Res Ctr, Mashhad 9177899191, Razavi Khorasan, Iran
Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, IranMashhad Univ Med Sci, Social Determinants Hlth Res Ctr, Mashhad 9177899191, Razavi Khorasan, Iran
Shamsara, Elham
Esmaily, Habibollah
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Mashhad Univ Med Sci, Social Determinants Hlth Res Ctr, Mashhad 9177899191, Razavi Khorasan, IranMashhad Univ Med Sci, Social Determinants Hlth Res Ctr, Mashhad 9177899191, Razavi Khorasan, Iran
Esmaily, Habibollah
Bahrampour, Abbas
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Kerman Univ Med Sci, Fac Hlth, Dept Biostat & Epidemiol, Inst Futures Studies Hlth,Modelling Hlth Res Ctr, Kerman, Iran
Griffith Univ, Sch Med, Ctr Appl Hlth Econ, Nathan Campus, Brisbane, Qld, AustraliaMashhad Univ Med Sci, Social Determinants Hlth Res Ctr, Mashhad 9177899191, Razavi Khorasan, Iran
机构:
Univ Pretoria, Dept Math & Appl Math, Private Bag X 20, ZA-0028 Pretoria, South AfricaUniv Pretoria, Dept Math & Appl Math, Private Bag X 20, ZA-0028 Pretoria, South Africa
Malinzi, Joseph
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Ouifki, Rachid
Eladdadi, Amina
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Coll St Rose, Dept Math, New York, NY 12203 USAUniv Pretoria, Dept Math & Appl Math, Private Bag X 20, ZA-0028 Pretoria, South Africa
Eladdadi, Amina
Torres, Delfim F. M.
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Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, PortugalUniv Pretoria, Dept Math & Appl Math, Private Bag X 20, ZA-0028 Pretoria, South Africa
Torres, Delfim F. M.
White, K. A. Jane
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Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, EnglandUniv Pretoria, Dept Math & Appl Math, Private Bag X 20, ZA-0028 Pretoria, South Africa
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Stanford Univ, Sch Med, Div Intervent Radiol, Stanford Canc Ctr, Stanford, CA 94305 USAStanford Univ, Sch Med, Div Intervent Radiol, Stanford Canc Ctr, Stanford, CA 94305 USA
Sze, Daniel Y.
Reid, Tony R.
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Univ Calif San Diego, Moores Canc Ctr, Div Med Oncol, La Jolla, CA 92093 USAStanford Univ, Sch Med, Div Intervent Radiol, Stanford Canc Ctr, Stanford, CA 94305 USA
Reid, Tony R.
Rose, Steven C.
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Univ Calif San Diego, Div Intervent Radiol, San Diego, CA 92103 USAStanford Univ, Sch Med, Div Intervent Radiol, Stanford Canc Ctr, Stanford, CA 94305 USA
机构:
Mayo Clin, Dept Mol Med, Rochester, MN 55905 USAMayo Clin, Dept Mol Med, Rochester, MN 55905 USA
Russell, Stephen J.
Peng, Kah-Whye
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Mayo Clin, Dept Mol Med, Rochester, MN 55905 USAMayo Clin, Dept Mol Med, Rochester, MN 55905 USA
Peng, Kah-Whye
Bell, John C.
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Ottawa Hosp Res Inst, Ctr Canc Therapeut, Ottawa, ON, Canada
Jennerex Biotherapeut, San Francisco, CA USAMayo Clin, Dept Mol Med, Rochester, MN 55905 USA
机构:
Univ Autonoma Nuevo Leon, Fac Med, Dept Bioquim, Monterrey 64460, Nuevo Leon, MexicoUniv Autonoma Nuevo Leon, Fac Med, Dept Bioquim, Monterrey 64460, Nuevo Leon, Mexico
Cervantes-Garcia, Daniel
Ortiz-Lopez, Rocio
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Univ Autonoma Nuevo Leon, Fac Med, Dept Bioquim, Monterrey 64460, Nuevo Leon, MexicoUniv Autonoma Nuevo Leon, Fac Med, Dept Bioquim, Monterrey 64460, Nuevo Leon, Mexico
Ortiz-Lopez, Rocio
Mayek-Prez, Netzahualcoyotl
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Inst Politecn Nacl, Ctr Biotecnol, Mexico City 07738, DF, MexicoUniv Autonoma Nuevo Leon, Fac Med, Dept Bioquim, Monterrey 64460, Nuevo Leon, Mexico
Mayek-Prez, Netzahualcoyotl
Rojas-Martinez, Augusto
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Univ Autonoma Nuevo Leon, Fac Med, Dept Bioquim, Monterrey 64460, Nuevo Leon, MexicoUniv Autonoma Nuevo Leon, Fac Med, Dept Bioquim, Monterrey 64460, Nuevo Leon, Mexico