Table of Contents Author Guidelines Submit a Manuscript
Computational and Mathematical Methods in Medicine
Volume 11, Issue 1, Pages 3-11
http://dx.doi.org/10.1080/17486700802545543
Original Article

A Modified Stochastic Gompertz Model for Tumour Cell Growth

Department of Physics, Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong

Received 4 June 2008; Accepted 9 September 2008

Copyright © 2010 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [12 citations]

The following is the list of published articles that have cited the current article.

  • C. F Lo, “Dynamics of Fokker–Planck Equation with Logarithmic Coefficients and Its Application in Econophysics,” Chinese Physics Letters, vol. 27, no. 8, pp. 080503, 2010. View at Publisher · View at Google Scholar
  • Giuseppina Albano, Virginia Giorno, Patricia Román-Román, and Francisco Torres-Ruiz, “Inferring the effect of therapy on tumors showing stochastic Gompertzian growth,” Journal of Theoretical Biology, vol. 276, no. 1, pp. 67–77, 2011. View at Publisher · View at Google Scholar
  • Giuseppina Albano, Virginia Giorno, Patricia Román-Román, and Francisco Torres-Ruiz, “On the therapy effect for a stochastic growth Gompertz-type model,” Mathematical Biosciences, vol. 235, no. 2, pp. 148–160, 2012. View at Publisher · View at Google Scholar
  • El Kettani Moummou, R. Gutiérrez, and R. Gutiérrez-Sanchez, “A stochastic Gompertz model with logarithmic therapy functions: Parameters estimation,” Applied Mathematics and Computation, vol. 219, no. 8, pp. 3729–3739, 2012. View at Publisher · View at Google Scholar
  • Guixin Hu, “Invariant distribution of stochastic Gompertz equation underregime switching,” Mathematics and Computers in Simulation, 2013. View at Publisher · View at Google Scholar
  • Yang-Chang Chi, Wen-Gang Che, Yuan Xiao, Zhong Wang, Chi-Chang Yang, Wen-Gang Che, Yuan Xiao, and Zhong Wang, “Application of the Gompertz growth curve in the time series of stock,” Proceedings of the 2013 3rd International Conference on Intelligent System Design and Engineering Applications, ISDEA 2013, pp. 373–376, 2013. View at Publisher · View at Google Scholar
  • Giuseppina Albano, Virginia Giorno, Patricia Román-Román, Sergio Román-Román, and Francisco Torres-Ruiz, “Estimating and determining the effect of a therapy on tumor dymamics by means of a modified Gompertz diffusion process,” Journal of Theoretical Biology, 2014. View at Publisher · View at Google Scholar
  • C.F. Lo, C.H. Hui, T. Fong, and S.W. Chu, “A Quasi-Bounded Target Zone Model – Theory and Application to Hong Kong Dollar,” International Review of Economics & Finance, 2014. View at Publisher · View at Google Scholar
  • Jayeong Paek, and Ilsu Choi, “Bayesian Inference of the Stochastic Gompertz Growth Model for Tumor Growth,” Communications for Statistical Applications and Methods, vol. 21, no. 6, pp. 521–528, 2014. View at Publisher · View at Google Scholar
  • Serena Spina, Virginia Giorno, Patricia Román-Román, and Francisco Torres-Ruiz, “A Stochastic Model of Cancer Growth Subject to an Intermittent Treatment with Combined Effects: Reduction in Tumor Size and Rise in Growth Rate,” Bulletin of Mathematical Biology, 2014. View at Publisher · View at Google Scholar
  • Patricia Román-Román, Sergio Román-Román, Juan JoséSerrano-Pérez, and Francisco Torres-Ruiz, “Modeling tumor growth in the presence of a therapy with an effect on rate growth and variability by means of a modified Gompertz diffusion process,” Journal of Theoretical Biology, 2016. View at Publisher · View at Google Scholar
  • Virginia Giorno, Patricia Román-Román, Serena Spina, and Francisco Torres-Ruiz, “Estimating a non-homogeneous Gompertz process with jumps as model of tumor dynamics,” Computational Statistics & Data Analysis, 2016. View at Publisher · View at Google Scholar