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1860796950742302720
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INTELEK Repository
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Online Access
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https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072
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2024-10-02 15:24
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Restricted Document
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10802
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UniSZA
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[1] N. Bellomo,and L. Preziosi, Modelling and mathematical problems related to tumor evolution and its interaction with the immune system, Math. Comput. Model, 32 (2000), 413-452. [2] N. Bellomo, A. Bellouquid and M. Delitala, Mathematical topics on the modelling of multicellular systems in competition between tumor and immune cells, Math. Mod. Meth. Appl. S., 14 (2004), 1683-1733. [3] L. G. de Pillis and A. E. Radunskaya, A mathematical tumor model with immune resistance and drug therapy: an optimal control approach, J. Theor. Med., 3(2001), 79-100. [4] L. G. de Pillis, W. Gu and A. E. Radunskaya, Mixed immunotherapy and chemotherapy of tumor: modeling, application and biological interpretations, J. Theor. Biol., 238 (2006), 841-862. [5] A. Kartono and Subiyanto, Mathematical Model of The Effect of Boosting Tumor Infiltrating Lymphocytes in Immunotherapy, Pakistan Journal of Biology Sciences, 16(20) (2013), 1095-1103. [6] D. Kirschner and J. C. Panetta, Modeling immunotherapy of the tumor�immune interaction, J. Math. Biol., 37(3) (1998), 235-252. [7] V. Kuznetsov and I. Makalkin, Bifurcation-analysis of mathematical model of interactions between cytotoxic lymphocytes and tumor cells effect of immunological amplification of tumor growth and its connection with other phenomena of oncoimmunology, Biofizika, 37(6) (1992), 1063-1070. [8] V. Kuznetsov, I. Makalkin, M. Taylor and A. Perelson, Onlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis, Bull. Math. Biol., 56(2) (1994), 295-321. [9] M. Mamat, Subiyanto and A. Kartono, Mathematical Model of Tumor Therapy Using Biochemotherapy, Journal of Applied Science Research, 8(1) (2012), 357-370. [10] M. Mamat, Subiyanto and A. Kartono, Mathematical Model of Cancer Treatment Using Immunotherapy, Chemotherapy and Biochemotherapy, Applied Mathematical Sciences, 7(5) (2013), 247-261. [11] E. Rosenbaum and I. Rosenbaum, Everyone’s Guide to Cancer Supportive Care: A Comprehensive Handbook for Patients and Their Families, Andrews McMeel Publishing, 2005.
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4933-01-FH02-FIK-14-00727.jpg
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oai_dc
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https://intelek.unisza.edu.my/intelek/pages/view.php?ref=10802
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10802 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=10802 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Article Journal image/jpeg inches 629 96 96 2024-10-02 15:24 1343x629 1343 4933-01-FH02-FIK-14-00727.jpg UniSZA Private Access Non-dimensional system for analysis equilibrium point mathematical model of tumor growth Applied Mathematical Sciences In this paper we presented analysis equilibrium point of mathematical model tumor growth use non-dimensional technique. This technique is useful to simply equation that complicated as a mathematical model that present in this paper. This mathematical model describes the effect of tumor infiltrating lymphocytes (TIL) and interleukin-2 (IL-2) on the dynamics of tumor cells. The steps of this technique are presented. With this technique we can be to determine more accurately the equilibria of our system which form nonlinear dynamics of system ordinary differential equation that coupled. 8 2 91-98 [1] N. Bellomo,and L. Preziosi, Modelling and mathematical problems related to tumor evolution and its interaction with the immune system, Math. Comput. Model, 32 (2000), 413-452. [2] N. Bellomo, A. Bellouquid and M. Delitala, Mathematical topics on the modelling of multicellular systems in competition between tumor and immune cells, Math. Mod. Meth. Appl. S., 14 (2004), 1683-1733. [3] L. G. de Pillis and A. E. Radunskaya, A mathematical tumor model with immune resistance and drug therapy: an optimal control approach, J. Theor. Med., 3(2001), 79-100. [4] L. G. de Pillis, W. Gu and A. E. Radunskaya, Mixed immunotherapy and chemotherapy of tumor: modeling, application and biological interpretations, J. Theor. Biol., 238 (2006), 841-862. [5] A. Kartono and Subiyanto, Mathematical Model of The Effect of Boosting Tumor Infiltrating Lymphocytes in Immunotherapy, Pakistan Journal of Biology Sciences, 16(20) (2013), 1095-1103. [6] D. Kirschner and J. C. Panetta, Modeling immunotherapy of the tumor�immune interaction, J. Math. Biol., 37(3) (1998), 235-252. [7] V. Kuznetsov and I. Makalkin, Bifurcation-analysis of mathematical model of interactions between cytotoxic lymphocytes and tumor cells effect of immunological amplification of tumor growth and its connection with other phenomena of oncoimmunology, Biofizika, 37(6) (1992), 1063-1070. [8] V. Kuznetsov, I. Makalkin, M. Taylor and A. Perelson, Onlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis, Bull. Math. Biol., 56(2) (1994), 295-321. [9] M. Mamat, Subiyanto and A. Kartono, Mathematical Model of Tumor Therapy Using Biochemotherapy, Journal of Applied Science Research, 8(1) (2012), 357-370. [10] M. Mamat, Subiyanto and A. Kartono, Mathematical Model of Cancer Treatment Using Immunotherapy, Chemotherapy and Biochemotherapy, Applied Mathematical Sciences, 7(5) (2013), 247-261. [11] E. Rosenbaum and I. Rosenbaum, Everyone’s Guide to Cancer Supportive Care: A Comprehensive Handbook for Patients and Their Families, Andrews McMeel Publishing, 2005.
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| spellingShingle |
Non-dimensional system for analysis equilibrium point mathematical model of tumor growth
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| summary |
In this paper we presented analysis equilibrium point of mathematical model tumor growth use non-dimensional technique. This technique is useful to simply equation that complicated as a mathematical model that present in this paper. This mathematical model describes the effect of tumor infiltrating lymphocytes (TIL) and interleukin-2 (IL-2) on the dynamics of tumor cells. The steps of this technique are presented. With this technique we can be to determine more accurately the equilibria of our system which form nonlinear dynamics of system ordinary differential equation that coupled.
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| title |
Non-dimensional system for analysis equilibrium point mathematical model of tumor growth
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| title_full |
Non-dimensional system for analysis equilibrium point mathematical model of tumor growth
|
| title_fullStr |
Non-dimensional system for analysis equilibrium point mathematical model of tumor growth
|
| title_full_unstemmed |
Non-dimensional system for analysis equilibrium point mathematical model of tumor growth
|
| title_short |
Non-dimensional system for analysis equilibrium point mathematical model of tumor growth
|
| title_sort |
non-dimensional system for analysis equilibrium point mathematical model of tumor growth
|