Matrix and compact operator description of resonance and anti-resonance in-cell populations subjected to phase-specific drugs

• Autorzy: Kheiffez Y. , Kogan Y. , Agur Z.
• Języki publikacji: EN

Słowa kluczowe

EN

matrix cell population; cancer therapy

PL

populacja komórek macierzy; terapia nowotworowa

• Wydawca: University of Silesia, Institute of Informatics, Computer Systems Department
• Czasopismo: Journal of Medical Informatics & Technologies
• Rocznik: 2004
• Tom: Vol. 8
• Strony: MM11--29
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Kheiffez Y.

• Institute for Medical Biomathematics, Hate'ena St. 10, POB 282, 60991, Bene-Ataroth, Israel

autor

Kogan Y.

• Institute for Medical Biomathematics, Hate'ena St. 10, POB 282, 60991, Bene-Ataroth, Israel

autor

Agur Z.

• Institute for Medical Biomathematics, Hate'ena St. 10, POB 282, 60991, Bene-Ataroth, Israel

Bibliografia

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• [3] Z. AGUR, J.L. DENEUBOURG, The effect of environmental disturbances on the dynamics of marine intertidal populations, Theoretical Population Biology (1985) 27, 75-90.
• [4] Z. AGUR, R. ARNON, B. SCHECHTER, Reduction of cytotoxicity to normal tissues by new regimes of cell-cycle phase-specific drugs, Mathematical Biosciences(1988), 92, 1-15.
• [5] Z. AGUR, R. ARNON, B. SANDAK, B. SCHECHTER Zidovudine toxicity to murine bone marrow may be affected by the exact frequency of drug administration, Exp. Hematol. (1991), 19, 364-368.
• [6] Z. AGUR, R. ARNON, B. SCHECHTER, "Effect of the dosing interval on survival and myelotoxicity in mice treated by Cytosine arabinoside", Eur. J. Cancer (1992), 28A(6/7) 1085-1090.
• [7] Z. AGUR, R. HASSIN, S. Levy. "Optimizing chemotherapy scheduling using local search heuristics", Submitted.
• [8] Z. AGUR, G. TAGLIABUE , B. SCHECHTER, P. UBEZIO, "AZT effect on the Bone Marrow - a new perspective on the Concorde Trials", Jour. Biol. Sys. (1995), 3, 241-251.
• [9] L. COJOCARU, Z. AGUR. "A theoretical analysis of interval drug dosing for cell-cycle-phase-specific drugs". Mathematical Biosciences (1992), 109, 85-97.
• [10] Z. AGUR, Y. DVIR, "Use of knowledge on {φn} series for predicting optimal chemotherapy treatment", Random & Computational Dynamics, (1994), 2, 279-286.
• [11] B. DIBROV, A. ZHABOTINSKY, Y. NEYFAKH, M. ORLOVA, and L. CHURIKOVA, "Mathematical model of cancer chemotherapy. Periodic schedules of phase-specific cytotoxic-agent administration increasing to selectivity of therapy". Mathematical Biosciences(1985), 73, 1-31.
• [12] HOFFMAN R. et al. (eds) Hematology, Basic Principles and Practice, 3rd Edition Churchill Livingstone 2000.
• [13] M. JOHNSON, and G.F. WEBB, "Resonances in age structured cell population models of periodic chemotherapy", International Journal of Applied Science and Computations, (1996), 3, 57-67.
• [14] D. SERRE. Matrices. Theory and applications. 2002 Springer-Verlag New York, Inc.
• [15] A. SWIERNIAK, "Optimal control problems arising in cell-cycle-specific cancer chemotherapy", Cell Prolif., (1996), 29, 117-139.
• [16] A. SWIERNIAK, "Cell cycle as an object of control", Journal of biological systems(1995), 3, 41-54.
• [17] P. UBEZIO , G. TAGLIABUE , B. SCHECHTER , Z. AGUR, "Increasing 1-b-D-Arabinofuranosylcytosine efficacy by scheduled dosing intervals based on direct measurement of bone marrow cell kinetics", Cancer Res. (1994), 54, 6446-6451.
• [18] G.F. WEBB, "Resonance phenomena in cell population chemotherapy models", Rocky Mountain Journal of Mathematics (1990) , 20, 1195-1216. MM