Top Abstract Purchase Related
Home
>
Node
>
Subnode

Investigation of the Influence of Angiogenesis on Tumor Growth with the use of a Mathematical Model

Kolobov, A.V.; Kuznetsov, M.B.

Biofizika 60(3): 555-563

2015

ISSN/ISBN: 0006-3029
PMID: 26349221
Document Number: 682342
A mathematical model of tumor growth is developed taking into account angiogenesis. Malignant cells under metabolic stress produce vascular endothelium growth factor that stimulates angiogenesis, increasing nutrient influx in tumor. The model takes into account the migration and proliferation dichotomy in the malignant cells depending on nutrient concentration. Convective fluxes originated due to active tumor cell proliferation in compact dense tissue are also considered. The computational analysis of the model has demonstrated that diffusive tumor growth rate does not depend on angiogenesis while for non-invasive tumors angiogenesis can significantly alter tumor growth, although it is not able to stop it completely. The causes and significance of the result for estimation of the antitumor efficacy of antiangiogenic therapy are discussed.

Document emailed within 1 workday
Secure & encrypted payments

Kuznetsov, V.A.; Makalkin, I.A. 1992: Bifurcation analysis of a mathematical model of the interaction of cytotoxic lymphocytes with tumor cells. the effect of immunologic amplification of tumor growth and its interconnection with other "anomolous" phenomena of oncoimmunology Biofizika 37(6): 1063-1070
Miszczak-Zaborska, E.; Smolarek, M.; Bartkowiak, J. 2010: Influence of the thymidine phosphorylase (platelet-derived endothelial cell growth factor) on tumor angiogenesis. Catalytic activity of enzyme inhibitors Postepy Biochemii 56(1): 61-66
Plouet, J. 1999: Angiogenesis and tumor growth. Angiogenic factors and tumor growth Annales de Pathologie 19(5 Suppl): S70-S71
Yamaguchi, K.; Ogawa, K.; Katsube, T.; Shimao, K.; Konno, S.; Shimakawa, T.; Yoshimatsu, K.; Naritaka, Y.; Yagawa, H.; Hirose, K. 2005: Platelet factor 4 gene transfection into tumor cells inhibits angiogenesis, tumor growth and metastasis Anticancer Research 25(2a): 847-851
Yoysungnoen, B.; Bhattarakosol, O.; Changtam, C.; Patumraj, S. 2016: Combinational Treatment Effect of Tetrahydrocurcumin and Celecoxib on Cervical Cancer Cell-Induced Tumor Growth and Tumor Angiogenesis in Nude Mice Journal of the Medical Association of Thailand 99 Suppl. 4: S23-S31
Bucova, M. 2001: Chemokines, tumor growth and angiogenesis Bratislavske Lekarske Listy 102(1): 22-27
Oosaki, T.; Sekiya, S.; Takamizawa, H. 1987: Fundamental studies on tumor angiogenesis factors with a choriocarcinoma model Nihon Sanka Fujinka Gakkai Zasshi 39(12): 2137-2143
Plunkett, M.L.; Hailey, J.A. 1990: An in vivo quantitative angiogenesis model using tumor cells entrapped in alginate Laboratory Investigation; a Journal of Technical Methods and Pathology 62(4): 510-517
Gutman, M.; Szold, A.; Ravid, A.; Lazauskas, T.; Merimsky, O.; Klausner, J.M. 1996: Failure of thalidomide to inhibit tumor growth and angiogenesis in vivo Anticancer Research 16(6b): 3673-3677
2002: The angiogenesis inhibitor vasostatin. In tumor inhibiting doses there is no impaired wound healing in the mouse model Der Hautarzt; Zeitschrift für Dermatologie Venerologie und verwandte Gebiete 53(2): 154
Claffey, K.P.; Brown, L.F.; del Aguila, L.F.; Tognazzi, K.; Yeo, K.T.; Manseau, E.J.; Dvorak, H.F. 1996: Expression of vascular permeability factor/vascular endothelial growth factor by melanoma cells increases tumor growth, angiogenesis, and experimental metastasis Cancer Research 56(1): 172-181
Nagy, J.A.; Morgan, E.S.; Herzberg, K.T.; Manseau, E.J.; Dvorak, A.M.; Dvorak, H.F. 1995: Pathogenesis of ascites tumor growth: angiogenesis, vascular remodeling, and stroma formation in the peritoneal lining Cancer Research 55(2): 376-385
Werther, K.; Nielsen, H.J. 2000: Significance of vascular endothelial growth factor--VEGF--in tumor angiogenesis. Therapeutic possibilities in solid tumors Ugeskrift for Laeger 162(37): 4916-4920
Klepper, L.I. 2000: The interactive determination of the mathematical model parameters for the planning of the radiation therapy of malignant tumors. 2. a method of adjusting the mathematical model parameters for calculating the tolerance doses and probabilities of the occurrence of radiation complications in body organs and tissues Meditsinskaia Tekhnika 5: 36-40
Bardychev, D.M.; Ivanov, V.K. 1985: Mathematical modeling of the kinetics of a heterogeneous cell population during tumor growth. II. a numerical study and some generalizations Tsitologiia 27(1): 114-118
Yin, P.; Qiu, X.-f.; Liu, Z.-c. 2005: Expression of inductive nitric oxide synthase and vascular endothelial growth factor in colonic carcinoma, and their effects on tumor angiogenesis Zhonghua Wei Chang Wai Ke Za Zhi 8(6): 513-515
Xia, Q.; Yin, H.; Shen, Y.; Liu, J.; Yan, Z.; Hong, J.; Zhou, F.; Liu, X. 2015: Influence of Tumor Microenvironment of Hepatocellular Carcinoma on the Proliferation of Vascular Endothelial Cells and Vascular Angiogenesis Ability Sheng Wu Yi Xue Gong Cheng Xue Za Zhi 32(3): 612-617
Wagner, J.G.; Szpunar, G.J.; Ferry, J.J. 1984: Exact mathematical equivalence of the venous equilibration ("well-stirred") model, the sinusoidal perfusion ("parallel-tube") model, and a specific two-compartment open model Drug Metabolism and Disposition: the Biological Fate of Chemicals 12(4): 385-388
Ono, M.; Kuwano, M. 2001: Tumor angiogenesis and tumor angiogenesis inhibitors Gan to Kagaku Ryoho. Cancer and ChemoTherapy 28(5): 584-590
Wainrach, B.; Shani, J.; Waks, T. 1978: Influence of alloxan diabetes on tumor growth Revista Clinica Espanola 151(2): 113-117