메뉴 건너뛰기




Volumn 4, Issue 1, 2004, Pages 187-201

A mathematical model of prostate tumor growth and androgen-independent relapse

Author keywords

Mathematical model; Partial differential equations; Prostate cancer

Indexed keywords


EID: 1042279438     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2004.4.187     Document Type: Conference Paper
Times cited : (81)

References (21)
  • 2
    • 0024584819 scopus 로고
    • Transport of fluid and macromolecules in tumors I: Role of interstitial pressure and convection
    • L.T. Baxter and R.K. Jain, Transport of fluid and macromolecules in tumors I: Role of interstitial pressure and convection, Mircovasc. Res. 37 (1989), 77-103.
    • (1989) Mircovasc. Res. , vol.37 , pp. 77-103
    • Baxter, L.T.1    Jain, R.K.2
  • 4
    • 0029956738 scopus 로고    scopus 로고
    • Cell proliferation and apoptosis during prostatic tumor xenograft involution and re-growth after castration
    • F. Bladou, R.L. Vessella, K.R. Buhler, W.J. Ellis, L.D. True and P.H. Lange, Cell proliferation and apoptosis during prostatic tumor xenograft involution and re-growth after castration, Int. J. Cancer 67 (1996), 785-790.
    • (1996) Int. J. Cancer , vol.67 , pp. 785-790
    • Bladou, F.1    Vessella, R.L.2    Buhler, K.R.3    Ellis, W.J.4    True, L.D.5    Lange, P.H.6
  • 5
    • 0004058896 scopus 로고
    • Garland Publishing, New York
    • D. Bray, "Cell Movements," Garland Publishing, New York, 1992.
    • (1992) Cell Movements
    • Bray, D.1
  • 6
    • 0030832962 scopus 로고    scopus 로고
    • The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas
    • P.K. Burgess, P.M. Kulesa, J.D. Murray and E.C. Alvord, The interaction of growth rates and diffusion coefficients in a three-dimensional mathematical model of gliomas, J. Neuropath. Exp. Neurol. 56 (1997), 704-713
    • (1997) J. Neuropath. Exp. Neurol. , vol.56 , pp. 704-713
    • Burgess, P.K.1    Kulesa, P.M.2    Murray, J.D.3    Alvord, E.C.4
  • 7
    • 0030431867 scopus 로고    scopus 로고
    • Modelling the role of cell-cell adhesion in the growth and development of carcinoma
    • H.M Byrne and M.A.J. Chaplain, Modelling the role of cell-cell adhesion in the growth and development of carcinoma, Math. Comput. Model. 24(12) (1996), 1-17.
    • (1996) Math. Comput. Model , vol.24 , Issue.12 , pp. 1-17
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 10
    • 0033988067 scopus 로고    scopus 로고
    • Endocrine treatment in prostate cancer
    • L.J, Denis and K. Griffiths, Endocrine treatment in prostate cancer, Semin. Surg. Oncol. 18 (2000), 52-74.
    • (2000) Semin. Surg. Oncol. , vol.18 , pp. 52-74
    • Denis, L.J.1    Griffiths, K.2
  • 13
    • 0017198676 scopus 로고
    • On the growth and stability of cell cultures and solid tumors
    • H.P. Greenspan, On the growth and stability of cell cultures and solid tumors, J. Theor. Biol. 56 (1976) 229-237.
    • (1976) J. Theor. Biol. , vol.56 , pp. 229-237
    • Greenspan, H.P.1
  • 14
    • 0034935259 scopus 로고    scopus 로고
    • Androgen receptor regulation of G1 cyclin and cyclin-dependent kinase function in the CWR22 human prostate cancer xenograft
    • C.W. Gregory, R.T. Johnson, S.C. Presnell, J.L. Mohler and F.S. French Androgen receptor regulation of G1 cyclin and cyclin-dependent kinase function in the CWR22 human prostate cancer xenograft, J. Androl. 22(4) (2001a) 537-548.
    • (2001) J. Androl. , vol.22 , Issue.4 , pp. 537-548
    • Gregory, C.W.1    Johnson, R.T.2    Presnell, S.C.3    Mohler, J.L.4    French, F.S.5
  • 15
    • 0035361340 scopus 로고    scopus 로고
    • A mechanism for androgen receptor-mediated prostate cancer recurrence after androgen deprivation therapy
    • C.W. Gregory, B. He, R.T. Johnson , O.H. Ford, J.L. Mohler, F.S. French and E.M. Wilson, A mechanism for androgen receptor-mediated prostate cancer recurrence after androgen deprivation therapy, Cancer Res. 61 (11) (2001b), 4315-4319.
    • (2001) Cancer Res. , vol.61 , Issue.11 , pp. 4315-4319
    • Gregory, C.W.1    He, B.2    Johnson, R.T.3    Ford, O.H.4    Mohler, J.L.5    French, F.S.6    Wilson, E.M.7
  • 16
    • 0036187849 scopus 로고    scopus 로고
    • Establishment and characterization of androgen-independent human prostate cancer LNCaP cell model
    • T. Igawa, F.F. Lin, M.S. Lee, D. Karan, S.K. Batra and M.F. Lin, Establishment and characterization of androgen-independent human prostate cancer LNCaP cell model, Prostate 50(4) (2002), 222-235.
    • (2002) Prostate , vol.50 , Issue.4 , pp. 222-235
    • Igawa, T.1    Lin, F.F.2    Lee, M.S.3    Karan, D.4    Batra, S.K.5    Lin, M.F.6
  • 17
    • 0034104342 scopus 로고    scopus 로고
    • A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
    • T.L. Jackson and H.M. Byrne, A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy, Math Biosci. 164(1) (2000) 17-38.
    • (2000) Math Biosci. , vol.164 , Issue.1 , pp. 17-38
    • Jackson, T.L.1    Byrne, H.M.2
  • 18
    • 0025014962 scopus 로고
    • Physiological barriers to delivery of monoclonal antibodies and other macromolecules in tumors
    • R.K. Jain, Physiological barriers to delivery of monoclonal antibodies and other macromolecules in tumors, Cancer Res. Suppl. 50 (1990) 814s-819s.
    • (1990) Cancer Res. Suppl. , vol.50
    • Jain, R.K.1
  • 20
    • 0033767930 scopus 로고    scopus 로고
    • Androgen receptor gene amplification at primary progression predicts response to combined androgen blockade as second line therapy for advanced prostate
    • C. Palmberg, P. Koivisto, L. Kakkola, T.L.J. Tammela, O.P. Kallioniemi and T. Visakorpi, Androgen receptor gene amplification at primary progression predicts response to combined androgen blockade as second line therapy for advanced prostate, J. Urol. 164(6) (2000), 1992-1995.
    • (2000) J. Urol. , vol.164 , Issue.6 , pp. 1992-1995
    • Palmberg, C.1    Koivisto, P.2    Kakkola, L.3    Tammela, T.L.J.4    Kallioniemi, O.P.5    Visakorpi, T.6
  • 21
    • 0036256059 scopus 로고    scopus 로고
    • Prostate cancer update
    • B.I. Rini and E.J. Small, Prostate cancer update, Curr. Opin. Oncol. 14(3) (2002), 286-291.
    • (2002) Curr. Opin. Oncol. , vol.14 , Issue.3 , pp. 286-291
    • Rini, B.I.1    Small, E.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.