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Volumn 6, Issue SUPPL. 1, 2012, Pages 19-30

Passing to the limit 2D-1D in a model for metastatic growth

Author keywords

angiogenesis; cancer modelling; structured population dynamics

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; CELL PROLIFERATION; COMPUTER SIMULATION; HUMAN; METASTASIS; PATHOLOGY;

EID: 84855934545     PISSN: 17513758     EISSN: 17513766     Source Type: Journal    
DOI: 10.1080/17513758.2011.568071     Document Type: Article
Times cited : (2)

References (18)
  • 1
    • 60349096256 scopus 로고    scopus 로고
    • Mathematical and numerical analysis for a model of growing metastatic tumors
    • Barbolosi, D., Benabdallah, A., Hubert, F. and Verga, F. 2009. Mathematical and numerical analysis for a model of growing metastatic tumors. Math. Biosci., 218: 1-14.
    • (2009) Math. Biosci. , vol.218 , pp. 1-14
    • Barbolosi, D.1    Benabdallah, A.2    Hubert, F.3    Verga, F.4
  • 2
    • 0035125321 scopus 로고    scopus 로고
    • Optimizing drug regimens in cancer chemotherapy: A simulation study using a PKPD model
    • Barbolosi, D. and Iliadis, A. 2001. Optimizing drug regimens in cancer chemotherapy: A simulation study using a PKPD model. Comput. Biol. Med., 31: 157-172.
    • (2001) Comput. Biol. Med. , vol.31 , pp. 157-172
    • Barbolosi, D.1    Iliadis, A.2
  • 4
    • 79959725504 scopus 로고    scopus 로고
    • Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis
    • Benzekry, S. 2011. Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis. J. Evol. Equations, 11: 187-213.
    • (2011) J. Evol. Equations , vol.11 , pp. 187-213
    • Benzekry, S.1
  • 5
    • 70249113326 scopus 로고    scopus 로고
    • A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy
    • Billy, F., Ribba, B., Saut, O., Morre-Trouilhet, H., Colin, T., Bresch, D., Boissel, J., Grenier, E. and Flandrois, J. 2009. A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. J. Theoret. Biol., 260: 545-562.
    • (2009) J. Theoret. Biol. , vol.260 , pp. 545-562
    • Billy, F.1    Ribba, B.2    Saut, O.3    Morre-Trouilhet, H.4    Colin, T.5    Bresch, D.6    Boissel, J.7    Grenier, E.8    Flandrois, J.9
  • 6
    • 73649086252 scopus 로고    scopus 로고
    • A model describing the growth and the size distribution of multiple metastatic tumors
    • Devys, A., Goudon, T. and Laffitte, P. 2009. A model describing the growth and the size distribution of multiple metastatic tumors. Discrete Contin. Dyn. Syst. Ser., B 12: 731-767.
    • (2009) Discrete Contin. Dyn. Syst. Ser. , vol.B12 , pp. 731-767
    • Devys, A.1    Goudon, T.2    Laffitte, P.3
  • 7
    • 4444221249 scopus 로고    scopus 로고
    • Tumour eradication by antiangiogenic therapy: Analysis and extensions of the model by Hahnfeldt et al. (1999)
    • d'Onofrio, A. and Gandolfi, A. 2004. Tumour eradication by antiangiogenic therapy: Analysis and extensions of the model by Hahnfeldt et al. (1999). Math. Biosci., 191: 159-184.
    • (2004) Math. Biosci. , vol.191 , pp. 159-184
    • d'Onofrio, A.1    Gandolfi, A.2
  • 8
  • 9
    • 60649087564 scopus 로고    scopus 로고
    • Accelerated metastasis after short-term treatment with a potent inhibitor of tumor angiogenesis
    • Ebos, J. M.L., Lee, C. R., Cruz-Munoz, W., Bjarnason, G. A., Christensen, J. G. and Kerbel, R. S. 2009. Accelerated metastasis after short-term treatment with a potent inhibitor of tumor angiogenesis. Cancer Cell, 15: 232-239.
    • (2009) Cancer Cell , vol.15 , pp. 232-239
    • Ebos, J.M.L.1    Lee, C.R.2    Cruz-Munoz, W.3    Bjarnason, G.A.4    Christensen, J.G.5    Kerbel, R.S.6
  • 10
    • 0015311426 scopus 로고
    • Antiangiogenesis: New concept for therapy of solid tumors
    • Folkman, J. 1972. Antiangiogenesis: New concept for therapy of solid tumors. Ann. Surg., 175: 409-416.
    • (1972) Ann. Surg. , vol.175 , pp. 409-416
    • Folkman, J.1
  • 11
    • 0033213978 scopus 로고    scopus 로고
    • Tumor development under angiogenic signaling: A dynamical theory of tumor growth, treatment, response and postvascular dormancy
    • Hahnfeldt, P., Panigraphy, D., Folkman, J. and Hlatky, L. 1999. Tumor development under angiogenic signaling: A dynamical theory of tumor growth, treatment, response and postvascular dormancy. Cancer Res., 59: 4770-4775.
    • (1999) Cancer Res. , vol.59 , pp. 4770-4775
    • Hahnfeldt, P.1    Panigraphy, D.2    Folkman, J.3    Hlatky, L.4
  • 12
    • 0000593691 scopus 로고    scopus 로고
    • Malignant tumors of the breast
    • In: DeVita J. V., Hellman S., Rosenberg S., editors 5, Philadelphia: Lippincott-Raven
    • Harris, J., Morrow, M. and Norton, L. 1997. "Malignant tumors of the breast". In Cancer: Principles and Practice of Oncology, 5, Edited by: DeVita, J. V., Hellman, S. and Rosenberg, S. 1557-1602. Philadelphia: Lippincott-Raven.
    • (1997) Cancer: Principles and Practice of Oncology , pp. 1557-1602
    • Harris, J.1    Morrow, M.2    Norton, L.3
  • 14
    • 0034696450 scopus 로고    scopus 로고
    • A dynamical model for the growth and size distribution of multiple metastatic tumors
    • Iwata, K., Kawasaki, K. and Shigesada, N. 2000. A dynamical model for the growth and size distribution of multiple metastatic tumors. J. Theoret. Biol., 203: 177-186.
    • (2000) J. Theoret. Biol. , vol.203 , pp. 177-186
    • Iwata, K.1    Kawasaki, K.2    Shigesada, N.3
  • 17
    • 58249092152 scopus 로고    scopus 로고
    • Randomized phase II study of pulse erlotinib before or after carboplatin and paclitaxel in current or former smokers with advanced non-small-cell lung cancer
    • Riely, G. J., Rizvi, N. A., Kris, M. G., Milton, D. T., Solit, D. B., Rosen, N., Senturk, E., Azzoli, C. G., Brahmer, J. R.Sirotnak, F. M. 2009. Randomized phase II study of pulse erlotinib before or after carboplatin and paclitaxel in current or former smokers with advanced non-small-cell lung cancer. J. Clin. Oncol., 27: 264-270.
    • (2009) J. Clin. Oncol. , vol.27 , pp. 264-270
    • Riely, G.J.1    Rizvi, N.A.2    Kris, M.G.3    Milton, D.T.4    Solit, D.B.5    Rosen, N.6    Senturk, E.7    Azzoli, C.G.8    Brahmer, J.R.9    Sirotnak, F.M.10
  • 18
    • 0025049681 scopus 로고
    • Applications of optimal control theory in biomedicine
    • Swan, G. W. 1990. Applications of optimal control theory in biomedicine. Math. Biosc., 101: 237-284.
    • (1990) Math. Biosc. , vol.101 , pp. 237-284
    • Swan, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.