Unique Estimation of Solid Tumour Growth Gompertz Parameter and Its Sensitivity Behaviour
M. Pitchaimani
Ramanujan Institute for Advanced study in Mathematics, University of Madras, Chennai 600005, India.
G. Somasundara Ori *
Ramanujan Institute for Advanced study in Mathematics, University of Madras, Chennai 600005, India.
Tim Eakin
The University of Texas at Austin, Department of Kinesiology and Health Education, Austin TX 78712, USA.
*Author to whom correspondence should be addressed.
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.
Keywords: Gompertz model, growth deceleration parameter, maximum lifetime of tumour cells, sensitivity, tumour doubling time, uniqueness.