Order-of-magnitude Estimates of Latency (Time to Appearance) and Refill Time of a Cancer from a Single Cancer 'Stem' Cell Compared by an Exponential and a Logistic Equation

摘要: BACKGROUND/AIM The time required before a mass of cancer cells considered to have originated from single malignantly transformed 'stem' cell reaches certain number has not been studied. Applications might include determination the size that can be detected by X-rays or physical examination modeling growth rates in vitro order compare with other models established data. MATERIALS AND METHODS We employed simple logarithmic equation and common logistic incorporating 'feedback' for unknown variables birth, growth, division, death used model proliferation. It association free commercial statistical software. RESULTS Results these two equations, varying proliferation rate, nominally reduced generational loss, are presented tables. resulting equation, instructions, examples, necessary mathematical software available online appendix, where several parameters interest modified reader www.uic.edu/nursing/publicationsupplements/tobillion_Anderson_Rubenstein_Guinan_Patel1.pdf. CONCLUSION Reducing rate whatever alterations employed, markedly increases reach 10(9) originating an initial progenitor. In thinking about multistep oncogenesis, it is useful consider profound effect variations effective may during development. This approached proposed which easy use further peer fine-tuning future growth.