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Research Article Open access CC BY 3.0

Unique Estimation of Solid Tumour Growth Gompertz Parameter and Its Sensitivity Behaviour

M. Pitchaimani, G. Somasundara Ori, Tim Eakin

Journal of Advances in Mathematics and Computer Science · pp. 2603–2617 · Published 7 Jul 2014

10.9734/BJMCS/2014/11549

Abstract

In this paper we estimate the growth rate parameter of Gompertz tumour growth model and prove the uniqueness theorem and discuss the sensitivity analysis for same.

Gompertz model growth deceleration parameter maximum lifetime of tumour cells sensitivity tumour doubling time uniqueness.

References (22)

  1. 1 What Is the Evidence That Tumors Are Angiogenesis Dependent? [DOI]
  2. 2 Dynamics of Tumor Growth [DOI]
  3. 3 Mathematical Models of Avascular Tumor Growth [DOI]
  4. 4 Simulated Brain Tumor Growth Dynamics Using a Three-Dimensional Cellular Automaton [DOI]
  5. 5 Slow Mortality Rate Accelerations During Aging in Some Animals Approximate That of Humans [DOI]
  6. 6 Specific Growth Rate versus Doubling Time for Quantitative Characterization of Tumor Growth Rate [DOI]
  7. 7 Resveratrol Suppresses the Angiogenesis and Tumor Growth of Gliomas in Rats [DOI]
  8. 8 The Vascularization of Tumors [DOI]
  9. 9 Analysis of growth of multicellular tumour spheroids by mathematical models [DOI]
  10. 10 The growth rate of human tumours. [DOI]
  11. 11 A Cellular Automaton Model of Cancerous Growth [DOI]
  12. 12 Parameter Estimation in a Gompertzian Stochastic Model for Tumor Growth [DOI]
  13. 13 Comparative Gompertzian analysis of alterations of tumor growth patterns.
  14. 14 Effect on tumour control of time interval between surgery and postoperative radiotherapy: an empirical approach using Monte Carlo simulation [DOI]
  15. 15 Gompertz survival model parameters: Estimation and sensitivity [DOI]
  16. 16 Mathematical Models of Avascular Tumour Growth
  17. 17 On a cellular automaton with time delay for modelling cancer tumors [DOI]
  18. 18 RECIST versus volume measurement in medical CT using ellipsoids of known size [DOI]
  19. 19 Existence of Gompertz parameters and its asymptotic formulae for a large population [DOI]
  20. 20 A mathematical model for metastatic growth illustrated by in vivo and in vitro growth of a transplantable mammary carcinoma in mice.
  21. 21 Treating cancer by inhibiting angiogenesis: new hopes and potential pitfall [DOI]
  22. 22 On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c. By Benjamin Gompertz, Esq. F. R. S [DOI]

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