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Volumn 47, Issue 5-6, 2008, Pages 580-596

Homeorhesis-based modelling and fast numerical analysis for oncogenic hyperplasia under radiotherapy

Author keywords

Cauchy problem; Homeorhesis; Oncogenic hyperplasia; Reaction diffusion equation; Tumour

Indexed keywords

COMPUTER SIMULATION; FEATURE EXTRACTION; MATHEMATICAL MODELS; NUMERICAL METHODS; RADIOTHERAPY; TUMORS;

EID: 38849109350     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2007.02.029     Document Type: Article
Times cited : (4)

References (25)
  • 1
    • 0000733534 scopus 로고
    • Organization for physiological homeostasis
    • Cannon W.B. Organization for physiological homeostasis. Physiol. Rev. 9 (1929) 399-431
    • (1929) Physiol. Rev. , vol.9 , pp. 399-431
    • Cannon, W.B.1
  • 3
    • 0013826130 scopus 로고
    • Cybernetic aspects of the cancer problem
    • Weiner N., and Schade J.P. (Eds), Elsevier, Amsterdam
    • Iversen O.H. Cybernetic aspects of the cancer problem. In: Weiner N., and Schade J.P. (Eds). Progress in Cybernetics (1965), Elsevier, Amsterdam
    • (1965) Progress in Cybernetics
    • Iversen, O.H.1
  • 4
    • 0005794611 scopus 로고
    • The role of nutrition in cancer prevention
    • Potter V.R. The role of nutrition in cancer prevention. Science 101 (1945) 105-109
    • (1945) Science , vol.101 , pp. 105-109
    • Potter, V.R.1
  • 5
    • 0025486010 scopus 로고
    • Modulation of intercellular communication during radiation and chemical carcinogenesis
    • Trosko J.E., Chang C.C., and Madhukar B.V. Modulation of intercellular communication during radiation and chemical carcinogenesis. Radiat. Res. 123 (1990) 241-251
    • (1990) Radiat. Res. , vol.123 , pp. 241-251
    • Trosko, J.E.1    Chang, C.C.2    Madhukar, B.V.3
  • 6
    • 33745853085 scopus 로고    scopus 로고
    • The minimal, phase-transition model for the cell-number maintenance by the hyperplasia-extended homeorhesis
    • Mamontov E., Koptioug A., and Psiuk-Maksymowicz K. The minimal, phase-transition model for the cell-number maintenance by the hyperplasia-extended homeorhesis. Acta Biotheor. 54 (2006) 61-101
    • (2006) Acta Biotheor. , vol.54 , pp. 61-101
    • Mamontov, E.1    Koptioug, A.2    Psiuk-Maksymowicz, K.3
  • 7
    • 38849175735 scopus 로고    scopus 로고
    • A.V. Koptioug, E. Mamontov, Toward prevention of hyperplasia in oncogeny and other proliferative diseases: The role of the cell genotoxicity in the model-based strategies, in: 7th Ann. Conf. in Göteborg, Sweden, Functional Genomics - From Birth to Death, 19-20 August 2004. Programme and Abstract Book, 1pp. abstract, oral presentation, and poster, Göteborg, Göteborg Univ. http://funcgenomics.lundberg.gu.se/, 2004
    • A.V. Koptioug, E. Mamontov, Toward prevention of hyperplasia in oncogeny and other proliferative diseases: The role of the cell genotoxicity in the model-based strategies, in: 7th Ann. Conf. in Göteborg, Sweden, Functional Genomics - From Birth to Death, 19-20 August 2004. Programme and Abstract Book, 1pp. abstract, oral presentation, and poster, Göteborg, Göteborg Univ. http://funcgenomics.lundberg.gu.se/, 2004
  • 8
    • 38849120937 scopus 로고    scopus 로고
    • A.V. Koptioug, E. Mamontov, Z. Taib, M. Willander, The phase-transition morphogenic model for oncogeny as a genotoxic dysfunction: Interdependence of modeling, advanced measurements, and numerical simulation, in: ICSB2004, 5th Int. Conf. Systems Biology, 9-13 October 2004, 1pp. abstract and poster, Heidelberg. http://www.icsb2004.org/, 2004
    • A.V. Koptioug, E. Mamontov, Z. Taib, M. Willander, The phase-transition morphogenic model for oncogeny as a genotoxic dysfunction: Interdependence of modeling, advanced measurements, and numerical simulation, in: ICSB2004, 5th Int. Conf. Systems Biology, 9-13 October 2004, 1pp. abstract and poster, Heidelberg. http://www.icsb2004.org/, 2004
  • 9
    • 0022167144 scopus 로고
    • Introduction: Autocrine, paracrine and endocrine mechanisms of growth control
    • Sporn M.B., and Roberts A.B. Introduction: Autocrine, paracrine and endocrine mechanisms of growth control. Cancer Surv. 4 (1985) 627-632
    • (1985) Cancer Surv. , vol.4 , pp. 627-632
    • Sporn, M.B.1    Roberts, A.B.2
  • 10
    • 0034805462 scopus 로고    scopus 로고
    • Spatial range of autocrine signaling: Modeling and computational analysis
    • Shvartsman S.Y., Wiley H.S., Deen W.M., and Lauffenburger D.A. Spatial range of autocrine signaling: Modeling and computational analysis. Biophys. J. 81 (2001) 1854-1867
    • (2001) Biophys. J. , vol.81 , pp. 1854-1867
    • Shvartsman, S.Y.1    Wiley, H.S.2    Deen, W.M.3    Lauffenburger, D.A.4
  • 11
    • 0014410839 scopus 로고
    • Towards a theoretical biology
    • Waddington C.H. Towards a theoretical biology. Nature 218 (1968) 525-527
    • (1968) Nature , vol.218 , pp. 525-527
    • Waddington, C.H.1
  • 12
    • 0027015417 scopus 로고
    • Systematic modelling in nutrition
    • Sauvant D. Systematic modelling in nutrition. Reprod. Nutr. Dev. 32 (1992) 217-230
    • (1992) Reprod. Nutr. Dev. , vol.32 , pp. 217-230
    • Sauvant, D.1
  • 13
    • 33745866240 scopus 로고    scopus 로고
    • Stochastic mechanics in the context of the properties of living systems
    • Mamontov E., Psiuk-Maksymowicz K., and Koptioug A. Stochastic mechanics in the context of the properties of living systems. Math. Comput. Modelling 44 (2006) 595-607
    • (2006) Math. Comput. Modelling , vol.44 , pp. 595-607
    • Mamontov, E.1    Psiuk-Maksymowicz, K.2    Koptioug, A.3
  • 15
    • 0007880248 scopus 로고    scopus 로고
    • Asymptotic method of finite equation for bounded solutions of nonlinear smooth ODEs
    • Mamontov Y.V., and Willander M. Asymptotic method of finite equation for bounded solutions of nonlinear smooth ODEs. Math. Japonica 46 (1997) 451-461
    • (1997) Math. Japonica , vol.46 , pp. 451-461
    • Mamontov, Y.V.1    Willander, M.2
  • 16
    • 20444497719 scopus 로고    scopus 로고
    • Nonstationary invariant distribution and the hydrodynamic-style generalization of the Kolmogorov-Forward/Fokker-Planck equation
    • Mamontov E. Nonstationary invariant distribution and the hydrodynamic-style generalization of the Kolmogorov-Forward/Fokker-Planck equation. Appl. Math. Lett. 18 (2005) 976-982
    • (2005) Appl. Math. Lett. , vol.18 , pp. 976-982
    • Mamontov, E.1
  • 17
    • 0032863948 scopus 로고    scopus 로고
    • Biologic rhythms in the immune system
    • Haus E., and Smolensky M.H. Biologic rhythms in the immune system. Chronobiol. Int. 16 (1999) 581-622
    • (1999) Chronobiol. Int. , vol.16 , pp. 581-622
    • Haus, E.1    Smolensky, M.H.2
  • 18
    • 34250450481 scopus 로고
    • Chemical reaction models for non-equilibrium phase transitions
    • Schlögl F. Chemical reaction models for non-equilibrium phase transitions. Z. Phys. 253 (1972) 147-161
    • (1972) Z. Phys. , vol.253 , pp. 147-161
    • Schlögl, F.1
  • 20
    • 10744231470 scopus 로고    scopus 로고
    • Guidance document on delivery, treatment planning, and clinical implementation of IMRT: Report of the IMRT Subcommittee of the AAPM Radiation Therapy Committee
    • Ezzell G.A., Galvin J.M., Low D., Palta J.R., Rosen I., Xia P., Xiao Y., Xing L., and Yu C.X. Guidance document on delivery, treatment planning, and clinical implementation of IMRT: Report of the IMRT Subcommittee of the AAPM Radiation Therapy Committee. Med. Phys. 30 (2003) 2089-2115
    • (2003) Med. Phys. , vol.30 , pp. 2089-2115
    • Ezzell, G.A.1    Galvin, J.M.2    Low, D.3    Palta, J.R.4    Rosen, I.5    Xia, P.6    Xiao, Y.7    Xing, L.8    Yu, C.X.9
  • 21
    • 38849194313 scopus 로고    scopus 로고
    • K. Psiuk-Maksymowicz, A phase-transition-based, nonlinear reaction-diffusion equation for hyperplastic tumours and an analytical-numerical computer simulation, in: Workshop on Angiogenesis and Other Aspects of Tumour Growth, 15 July 2005. Oral Presentation, Warsaw. http://www.mimuw.edu.pl/~biolmat/program_june.html, 2005
    • K. Psiuk-Maksymowicz, A phase-transition-based, nonlinear reaction-diffusion equation for hyperplastic tumours and an analytical-numerical computer simulation, in: Workshop on Angiogenesis and Other Aspects of Tumour Growth, 15 July 2005. Oral Presentation, Warsaw. http://www.mimuw.edu.pl/~biolmat/program_june.html, 2005
  • 22
    • 38849116628 scopus 로고    scopus 로고
    • K. Psiuk-Maksymowicz, E. Mamontov, The time-slice method for fast analysis of oncogenic hyperplasia, in: European Conference on Mathematical and Theoretical Biology - ECMTB05, 18-22 July 2005, Dresden, in: Book of Abstracts, vol. 1, Center for Information Services and High-Performance Computing, Dresden University of Technology, Dresdn, 2005, p. 429
    • K. Psiuk-Maksymowicz, E. Mamontov, The time-slice method for fast analysis of oncogenic hyperplasia, in: European Conference on Mathematical and Theoretical Biology - ECMTB05, 18-22 July 2005, Dresden, in: Book of Abstracts, vol. 1, Center for Information Services and High-Performance Computing, Dresden University of Technology, Dresdn, 2005, p. 429
  • 23
    • 0036715867 scopus 로고    scopus 로고
    • Historical and current highlights in radiation biology: Has anything important been learned by irradiating cells?
    • Bedford J.S., and Dewey W.C. Historical and current highlights in radiation biology: Has anything important been learned by irradiating cells?. Radiat. Res. 158 (2002) 251-291
    • (2002) Radiat. Res. , vol.158 , pp. 251-291
    • Bedford, J.S.1    Dewey, W.C.2
  • 24
    • 0034942833 scopus 로고    scopus 로고
    • Quantitative analysis of the TGF receptor autocrine system reveals cryptic regulation of the cell response by ligand capture
    • DeWitt A., Dong J.Y., Wiley H.S., and Lauffenburger D. Quantitative analysis of the TGF receptor autocrine system reveals cryptic regulation of the cell response by ligand capture. J. Cell Sci. 114 (2001) 2301-2313
    • (2001) J. Cell Sci. , vol.114 , pp. 2301-2313
    • DeWitt, A.1    Dong, J.Y.2    Wiley, H.S.3    Lauffenburger, D.4
  • 25
    • 33750099897 scopus 로고    scopus 로고
    • Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
    • Chaplain M.A.J., Graziano L., and Preziosi L. Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. Math. Med. Biol. 23 (2006) 197-229
    • (2006) Math. Med. Biol. , vol.23 , pp. 197-229
    • Chaplain, M.A.J.1    Graziano, L.2    Preziosi, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.