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International Journal of Systems Science Volume 11, 1980 - Issue 2
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Original Articles

Optimal control in some cancer chemotherapy problems

GEORGE W. SWAN 14125 62nd Drive W, Edmonds, Washington, 98020, U.S.A.
Pages 223-237 | Received 01 Jun 1979, Accepted 04 Sep 1979, Published online: 30 May 2007

Citations (11)

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Read on this site (1)

M. K. SUNBARESHAN & R. S. ACHARYA. (1984) Optimal control in cancer therapy by simultaneous consideration of normal and cancer cell proliferation kinetics. International Journal of Systems Science 15:7, pages 773-776.
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Articles from other publishers (10)

Paola Lecca. (2021) Control Theory and Cancer Chemotherapy: How They Interact. Frontiers in Bioengineering and Biotechnology 8.
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Jessica Cunningham, Frank Thuijsman, Ralf Peeters, Yannick Viossat, Joel Brown, Robert Gatenby & Kateřina Staňková. (2020) Optimal control to reach eco-evolutionary stability in metastatic castrate-resistant prostate cancer. PLOS ONE 15:12, pages e0243386.
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Jessica J. Cunningham, Joel S. Brown, Robert A. Gatenby & Kateřina Staňková. (2018) Optimal control to develop therapeutic strategies for metastatic castrate resistant prostate cancer. Journal of Theoretical Biology 459, pages 67-78.
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S. Paryad-zanjani, M.J. Mahjoob, Saeid Amanpour, Raheleh Kheirbakhsh & M. Haji Akhoundzadeh. (2016) A supplemental treatment for chemotherapy: Control simulation using a mathematical model with estimated parameters based on in vivo experiment. IFAC-PapersOnLine 49:26, pages 277-282.
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M.I.S. Costa, J.L. Boldrini & R.C. Bassanezi. (1995) Chemotherapeutic treatments involving drug resistance and level of normal cells as a criterion of toxicity. Mathematical Biosciences 125:2, pages 211-228.
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George W. Swan. (1990) Role of optimal control theory in cancer chemotherapy. Mathematical Biosciences 101:2, pages 237-284.
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G. W. Swan. (1986) Cancer chemotherapy: Optimal control using the Verhulst-Pearl equation. Bulletin of Mathematical Biology 48:3-4, pages 381-404.
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R.S. Acharya & M.K. Sundareshan. (1984) Development of optimal drug administration strategies for cancer-chemotheraphy in the framework of systems theory. International Journal of Bio-Medical Computing 15:2, pages 139-150.
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G. W. Swan. (1982) An optimal control model of diabetes mellitus. Bulletin of Mathematical Biology 44:6, pages 793-808.
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George W. Swan. (2007) Optimal control applications in biomedical engineering—a survey. Optimal Control Applications and Methods 2:4, pages 311-334.
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