A continuous phenotype space model of cancer evolution
作者： David Masip , Andrei Korobeinikiov
DOI: 10.1088/1742-6596/811/1/012005
关键词:
摘要: It was suggested that the ability of cancer to avoid immune response pressure (that should be expected capable annihilate at its early stage) can attributed cells evolve. The goal this notice is illustrate possibility by means mathematical modelling. In notice, we construct a simple mechanistic model evolution, which based upon classical cancer-immune interaction. Numerical simulations confirm hypothesis if mutates fast enough and not sufficiently strong, then able evolution.
harvard.edu
sci-hub.se 参考文章(8)
V KUZNETSOV, I MAKALKIN, M TAYLOR, A PERELSON, Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis Bulletin of Mathematical Biology. ,vol. 56, pp. 295- 321 ,(1994) , 10.1016/S0092-8240(05)80260-5
L.G. de Pillis, W. Gu, K.R. Fister, T. Head, K. Maples, A. Murugan, T. Neal, K. Yoshida, Chemotherapy for tumors: an analysis of the dynamics and a study of quadratic and linear optimal controls. Bellman Prize in Mathematical Biosciences. ,vol. 209, pp. 292- 315 ,(2007) , 10.1016/J.MBS.2006.05.003
D.E. Kirschner, T.L. Jackson, J.C. Arciero, A mathematical model of tumor-immune evasion and siRNA treatment Discrete and Continuous Dynamical Systems-series B. ,vol. 4, pp. 39- 58 ,(2003) , 10.3934/DCDSB.2004.4.39
A. A. Archibasov, A. Korobeinikov, V. A. Sobolev, Asymptotic expansions of solutions in a singularly perturbed model of virus evolution Computational Mathematics and Mathematical Physics. ,vol. 55, pp. 240- 250 ,(2015) , 10.1134/S0965542515020037
L.G. de Pillis, W. Gu, A.E. Radunskaya, Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations. Journal of Theoretical Biology. ,vol. 238, pp. 841- 862 ,(2006) , 10.1016/J.JTBI.2005.06.037
Andrei Korobeinikov, , Conor Dempsey, , A continuous phenotype space model of RNA virus evolution within a host Mathematical Biosciences and Engineering. ,vol. 11, pp. 919- 927 ,(2014) , 10.3934/MBE.2014.11.919
A. A. Archibasov, A. Korobeinikov, V. A. Sobolev, Passage to the limit in a singularly perturbed partial integro-differential system Differential Equations. ,vol. 52, pp. 1115- 1122 ,(2016) , 10.1134/S0012266116090020
Andrei Korobeinikov, Konstantin E Starkov, Paul A Valle, Modeling cancer evolution: evolutionary escape under immune system control Journal of Physics: Conference Series. ,vol. 811, pp. 012004- ,(2017) , 10.1088/1742-6596/811/1/012004