A Cell Kinetics Justification for Gompertz’ Equation

Diverse Ideas on the Growth Kinetics of Disseminated Cancer Cells

“…We note that the work of Casey paved the way for the establishment of an empirical and theoretical basis for the assumptions of Gompertzian growth of solid tumors. Following this, justification of Gompertzian growth of solid tumors, such as breast and lung cancer, from various other viewpoints are also noteworthy (Laird, 1965;Simpson-Herren and Lloyd, 1970;Kendal, 1985;Frenzen and Murray, 1986;Norton, 1988;Gyllenberg and Webb, 1989;Calderón and Kwembe, 1991;Marusic et al, 1994a,b;Bassukas, 1994;Bajzer et al, 1997;Bajzer, 1999).…”

A nonlinear structured population model of tumor growth with quiescence

“…DMS-8722947 have developed cell population models with age or size structure (e.g. [2,3,9,10,12,13,15,16,19,22,23,24,[29][30][31][32][33][34][35]). For instance, it is known that in many tumors the probability of becoming quiescent is highest shortly after mitosis [28].…”

Quiescence as an explanation of Gompertzian tumor growth revisited

“…Ever since, Gompertz's empirical equation remains the most popular one in describing cancer cell population growth in a wide spectrum of bio-medical situations due to its good fit to data and simplicity (Norton (1976)). Many efforts were documented in the literature aimed at understanding the mechanisms that may support Gompertz's elegant model equation (Frenzen and Murray (1986), Gyllenberg and Webb (1989), Marusic and Vuk-Pavlovic (1993), Marusic et al (1994), Kozusko and Bajzer (2003), Thalhauser et al (2009)). The key aspect of the approach of these existing efforts is to divide the cancer cell population into the proliferating cells and the quiescent cells, or the proliferating cell and dispersing cells.…”