Three-dimensional multispecies nonlinear tumor growth—I
作者： S.M. Wise , J.S. Lowengrub , H.B. Frieboes , V. Cristini
DOI: 10.1016/J.JTBI.2008.03.027
关键词:
摘要: This is the first paper in a two-part series in which we develop, analyze, and simulate a diffuse interface continuum model of multispecies tumor growth and tumor-induced angiogenesis in two and three dimensions. Three-dimensional simulations of nonlinear tumor growth and neovascularization using this diffuse interface model were recently presented in Frieboes et al.[2007. Computer simulation of glioma growth and morphology. NeuroImage S59–S70], but that paper did not describe the details of the model or the …
biomed-data.eu
elsevier.com参考文章(92)
H.M. Byrne, J.R. King, D.L.S. McElwain, L. Preziosi, A two-phase model of solid tumour growth Applied Mathematics Letters. ,vol. 16, pp. 567- 573 ,(2003) , 10.1016/S0893-9659(03)00038-7
HARALAMPOS HATZIKIROU, ANDREAS DEUTSCH, CARLO SCHALLER, MATTHIAS SIMON, KRISTIN SWANSON, MATHEMATICAL MODELLING OF GLIOBLASTOMA TUMOUR DEVELOPMENT: A REVIEW Mathematical Models and Methods in Applied Sciences. ,vol. 15, pp. 1779- 1794 ,(2005) , 10.1142/S0218202505000960
Ben D. MacArthur, Colin P. Please, Residual stress generation and necrosis formation in multi-cell tumour spheroids Journal of Mathematical Biology. ,vol. 49, pp. 537- 552 ,(2004) , 10.1007/S00285-004-0265-7
Thomas G Graeber, Cynthia Osmanian, Tyler Jacks, David E Housman, Cameron J Koch, Scott W Lowe, Amato J Giaccia, None, Hypoxia-mediated selection of cells with diminished apoptotic potential in solid tumours Nature. ,vol. 379, pp. 88- 91 ,(1996) , 10.1038/379088A0
Front migration in the nonlinear Cahn-Hilliard equation Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 422, pp. 261- 278 ,(1989) , 10.1098/RSPA.1989.0027
H.M. Byrne, M.A.J. Chaplain, Modelling the role of cell-cell adhesion in the growth and development of carcinomas Mathematical and Computer Modelling. ,vol. 24, pp. 1- 17 ,(1996) , 10.1016/S0895-7177(96)00174-4
X ZHENG, S WISE, V CRISTINI, Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method. Bulletin of Mathematical Biology. ,vol. 67, pp. 211- 259 ,(2005) , 10.1016/J.BULM.2004.08.001
SJ Franks, HM Byrne, HS Mudhar, JCE Underwood, CE Lewis, Mathematical modelling of comedo ductal carcinoma in situ of the breast. Mathematical Medicine and Biology-a Journal of The Ima. ,vol. 20, pp. 277- 308 ,(2003) , 10.1093/IMAMMB/20.3.277
C.J.W. Breward, H.M. Byrne, C.E. Lewis, The role of cell-cell interactions in a two-phase model for avascular tumour growth. Journal of Mathematical Biology. ,vol. 45, pp. 125- 152 ,(2002) , 10.1007/S002850200149
Guang-Shan Jiang, Chi-Wang Shu, Efficient Implementation of Weighted ENO Schemes Journal of Computational Physics. ,vol. 126, pp. 202- 228 ,(1996) , 10.1006/JCPH.1996.0130