Two dimensional mathematical model of tumor angiogenesis: Coupling of avascular growth and vascularization

被引:0
|
作者
Department of Electrical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran [1 ]
机构
来源
Iran. J. Med. Phys. | / 3卷 / 145-166期
关键词
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
相关论文
共 50 条
  • [21] Numerical simulations and analysis for mathematical model of avascular tumor growth using Gompertz growth rate function
    Ali, Akhtar
    Hussain, Majid
    Ghaffar, Abdul
    Ali, Zafar
    Nisar, Kottakkaran Sooppy
    Alharthi, M. R.
    Jamshed, Wasim
    ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (04) : 3731 - 3740
  • [22] A mathematical model for the onset of avascular tumor growth in response to the loss of p53 function
    Levine, Howard
    Smiley, Michael
    Tucker, Anna
    Nilsen-Hamilton, Marit
    CANCER INFORMATICS, 2006, 2 : 163 - 188
  • [23] Bifurcation of a Mathematical Model for Tumor Growth with Angiogenesis and Gibbs-Thomson Relation
    Xu, Shihe
    Bai, Meng
    Zhang, Fangwei
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (15):
  • [24] The study of angiogenesis effect on the growth rate of an invasive tumor using a mathematical model
    Kolobov, A. V.
    Kuznetsov, M. B.
    RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2013, 28 (05) : 471 - 483
  • [25] Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
    Chaplain, MAJ
    MATHEMATICAL AND COMPUTER MODELLING, 1996, 23 (06) : 47 - 87
  • [26] A numerical algorithm for avascular tumor growth model
    Mahmood, Mohammed Shuker
    Mahmood, Silvia
    Dobrota, Dusan
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2010, 80 (06) : 1269 - 1277
  • [27] A MATHEMATICAL-ANALYSIS OF A MODEL FOR TUMOR ANGIOGENESIS
    CHAPLAIN, MAJ
    GILES, SM
    SLEEMAN, BD
    JARVIS, RJ
    JOURNAL OF MATHEMATICAL BIOLOGY, 1995, 33 (07) : 744 - 770
  • [28] Tumor Angiogenesis and Vascular Patterning: A Mathematical Model
    Travasso, Rui D. M.
    Poire, Eugenia Corvera
    Castro, Mario
    Rodrguez-Manzaneque, Juan Carlos
    Hernandez-Machado, A.
    PLOS ONE, 2011, 6 (05):
  • [29] DIFFUSION-MODEL OF TUMOR VASCULARIZATION AND GROWTH
    LIOTTA, LA
    SAIDEL, GM
    KLEINERMAN, J
    BULLETIN OF MATHEMATICAL BIOLOGY, 1977, 39 (01) : 117 - 128
  • [30] A 2-dimensional mathematical model of angiogenesis
    Obeyesekere, Mandri N.
    Patrick, Charles W., Jr.
    Sun, Shuyu
    Wheeler, Mary F.
    TISSUE ENGINEERING, 2006, 12 (04): : 985 - 985