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Volumn 61, Issue 10, 2011, Pages 3117-3127

The role of initial tumor biomass size in a mathematical model of periodically pulsed chemotherapy

Author keywords

Cancer; Chemotherapy; Drug resistance; Numerical computation; Tumorhost interaction

Indexed keywords

CANCER; CELL BIOMASS; CELL INTERACTION; CHEMOTHERAPEUTIC TREATMENTS; COMPETITION MODEL; DRUG RESISTANCE; NUMERICAL COMPUTATIONS; NUMERICAL RESULTS; OPTIMAL DOSAGE; OPTIMAL TREATMENT; RESEARCH STUDIES; TUMOR-HOST INTERACTION;

EID: 79955872842     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.03.102     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 0141676399 scopus 로고    scopus 로고
    • Chemotherapeutic engineering: Application and further development of chemical engineering principles for chemotherapy of cancer and other diseases
    • DOI 10.1016/S0009-2509(03)00234-3
    • S.S. Feng, and S. Chien Chemotherapeutic engineering: application and further development of chemical engineering principles for chemotherapy of cancer and other diseases Chem. Eng. Sci. 58 2003 4087 4114 (Pubitemid 37164365)
    • (2003) Chemical Engineering Science , vol.58 , Issue.18 , pp. 4087-4114
    • Feng, S.-S.1    Chien, S.2
  • 2
    • 0023803541 scopus 로고
    • Reduction of cytotoxicity to normal tissues by new regimens of cell-cycle phase-specific drugs
    • DOI 10.1016/0025-5564(88)90002-8
    • Z. Agur, R. Arnon, and B. Schechter Reduction of cytotoxicity to normal tissues by new regimens of cell-cycle phase-specific drugs Math. Biosci. 92 1988 1 15 (Pubitemid 18263127)
    • (1988) Mathematical Biosciences , vol.92 , Issue.1 , pp. 1-15
    • Agur, Z.1    Arnon, R.2    Schechter, B.3
  • 3
    • 0035125321 scopus 로고    scopus 로고
    • Optimizing drug regimens in cancer chemotherapy: A simulation study using a PK-PD model
    • DOI 10.1016/S0010-4825(00)00032-9, PII S0010482500000329
    • D. Barbolosi, and A. Iliadis Optimizing drug regimens in cancer chemotherapy: a simulation study using a PKPD model Comput. Biol. Med. 31 2001 157 172 (Pubitemid 32149922)
    • (2001) Computers in Biology and Medicine , vol.31 , Issue.3 , pp. 157-172
    • Barbolosi, D.1    Iliadis, A.2
  • 4
    • 0033687699 scopus 로고    scopus 로고
    • Optimal control applied to cell-cycle-specific cancer chemotherapy
    • K.R. Fister, and J.C. Panetta Optimal control applied to cell-cycle-specific cancer chemotherapy SIAM J. Appl. Math. 60 3 2000 1059 1072
    • (2000) SIAM J. Appl. Math. , vol.60 , Issue.3 , pp. 1059-1072
    • Fister, K.R.1    Panetta, J.C.2
  • 5
    • 0033933808 scopus 로고    scopus 로고
    • Optimizing drug regimens in cancer chemotherapy by an efficacy-toxicity mathematical model
    • DOI 10.1006/cbmr.2000.1540
    • A. Iliadis, and D. Barbolosi Optimizing drug regimens in cancer chemotherapy by an efficacytoxicity mathematical model Comput. Biomed. Res. 33 2000 211 226 (Pubitemid 30432556)
    • (2000) Computers and Biomedical Research , vol.33 , Issue.3 , pp. 211-226
    • Iliadis, A.1    Barbolosi, D.2
  • 6
    • 0037103546 scopus 로고    scopus 로고
    • Application of optimal control theory to analysis of cancer chemotherapy regimens
    • A.S. Matveev, and A.V. Savkin Application of optimal control theory to analysis of cancer chemotherapy regimens Systems Control Lett. 44 2002 311 321
    • (2002) Systems Control Lett. , vol.44 , pp. 311-321
    • Matveev, A.S.1    Savkin, A.V.2
  • 7
    • 0028830672 scopus 로고
    • A mathematical model of cycle-specific chemotherapy
    • J.C. Panetta, and J. Adam A mathematical model of cycle-specific chemotherapy Math. Comput. Modelling 22 2 1995 67 82
    • (1995) Math. Comput. Modelling , vol.22 , Issue.2 , pp. 67-82
    • Panetta, J.C.1    Adam, J.2
  • 8
    • 0030140255 scopus 로고    scopus 로고
    • A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
    • J.C. Panetta A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competitive environment Bull. Math. Biol. 58 3 1996 425 447 (Pubitemid 126652953)
    • (1996) Bulletin of Mathematical Biology , vol.58 , Issue.3 , pp. 425-447
    • Panetta, J.C.1
  • 9
    • 0023726099 scopus 로고
    • Unexpected equilibria resulting from differing growth rates of subpopulations within heterogeneous tumors
    • S. Michelson, and J.T. Leith Unexpected equilibria resulting from differing growth rates of subpopulations within heterogeneous tumors Math. Biosci. 91 1988 119 129
    • (1988) Math. Biosci. , vol.91 , pp. 119-129
    • Michelson, S.1    Leith, J.T.2
  • 10
    • 0027665045 scopus 로고
    • Growth factors and growth control of heterogeneous cell populations
    • S. Michelson, and J.T. Leith Growth factors and growth control of heterogeneous cell populations Bull. Math. Biol. 55 5 1993 993 1011
    • (1993) Bull. Math. Biol. , vol.55 , Issue.5 , pp. 993-1011
    • Michelson, S.1    Leith, J.T.2
  • 11
    • 0029257161 scopus 로고
    • Interlocking triads of growth control in tumors
    • S. Michelson, and J.T. Leith Interlocking triads of growth control in tumors Bull. Math. Biol. 57 2 1995 345 366
    • (1995) Bull. Math. Biol. , vol.57 , Issue.2 , pp. 345-366
    • Michelson, S.1    Leith, J.T.2
  • 12
    • 0038039477 scopus 로고    scopus 로고
    • A logistic model of periodic chemotherapy with drug resistance
    • PII S0893965996001231
    • J.C. Panetta A logistic model of periodic chemotherapy with drug resistance Appl. Math. Lett. 10 1 1997 123 127 (Pubitemid 127413349)
    • (1997) Applied Mathematics Letters , vol.10 , Issue.1 , pp. 123-127
    • Panetta, J.C.1
  • 13
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • J.A. Nelder, and R. Mead A simplex method for function minimization Comput. J. 7 1965 308 313
    • (1965) Comput. J. , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2
  • 15
    • 52549099935 scopus 로고    scopus 로고
    • Mathematical model of pulsed immunotherapy for superficial bladder cancer
    • S. Bunimovich-Mendrazitsky, H. Byrne, and L. Stone Mathematical model of pulsed immunotherapy for superficial bladder cancer Bull. Math. Biol. 70 3 2008 2055 2076
    • (2008) Bull. Math. Biol. , vol.70 , Issue.3 , pp. 2055-2076
    • Bunimovich-Mendrazitsky, S.1    Byrne, H.2    Stone, L.3
  • 16
    • 0031986268 scopus 로고    scopus 로고
    • A mathematical model of drug resistance: Heterogeneous tumors
    • PII S0025556497000801
    • J.C. Panetta A mathematical model of drug resistance: heterogeneous tumors Math. Biosci. 147 1998 41 61 (Pubitemid 128761930)
    • (1998) Mathematical Biosciences , vol.147 , Issue.1 , pp. 41-61
    • Panetta, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.