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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 81 - 90 (10page)
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초록· 키워드
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Manycompartmentmodelsassumeakineticallyhomogeneous amount of materials that have well-stirred compartments. However, based on observations from such processes, they have been heuristically fitted by exponential or gamma distributions even though biological media are inho- mogeneous in real environments. Fractional differential equations using a specific kernel in Pharmacokinetic/Pharmacodynamic (PKPD) model are recently introduced to account for abnormal drug disposition. We discuss a tumor growth inhibition (TGI) model using fractional-order derivative from it. This represents a tumor growth delay by cytotoxic agents and additionally show variations in the equilibrium points by the change of fractional order. The result indicates that the equilibrium depends on the tumor size as well as a change of the fractional order. We find that the smaller the fractional order, the smaller the equilibrium value. However, a difference of them is the number of concavities and this indicates that TGI over time profile for fitting or prediction should be determined properly ei- ther fractional order or tumor sizes according to the number of concavities shown in experimental data.
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참고문헌 (23)
참고문헌 신청
P. Macheras / 2016 / Mod-eling in Biopharmaceutics, Phar-macokinetics and Pharmacody-namics: Homogeneous and Het-erogeneous Approaches. Inter-disciplinary Applied Mathemat-ics / Springer International Pub-lishing
Bruce J. West / 1994 / Fractal physiology for physi-cists: Lvy statistics / Physics Re-ports 246(1):1~100
Christopher N Angstmann / 2017 / Fractional order compartment models / SIAM Journal on Applied Mathematics 77(2):430~446
John E. Mittler / 1998 / In uence of delayed vi-ral production on viral dynamics in HIV-1 infected patients / Math-ematical Biosciences 152(2):143~163
Davide Verotta / 2010 / Fractional dynamics pharmacokinetics-pharmacodynamic models / Journal of Pharmacokinetics and Pharmacodynamics 37(3):257~276
Bruce J. West / 1994 / Fractal physiology for physi-cists: Lvy statistics / Physics Re-ports 246(1):1~100
Christopher N Angstmann / 2017 / Fractional order compartment models / SIAM Journal on Applied Mathematics 77(2):430~446
John E. Mittler / 1998 / In uence of delayed vi-ral production on viral dynamics in HIV-1 infected patients / Math-ematical Biosciences 152(2):143~163
Davide Verotta / 2010 / Fractional dynamics pharmacokinetics-pharmacodynamic models / Journal of Pharmacokinetics and Pharmacodynamics 37(3):257~276
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