Is Gompertzian or exponential kinetics a valid description of individual human cancer growth?
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Recent updates on innovative approaches to overcome drug resistance for better outcomes in cancer
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2020, EBioMedicineCitation Excerpt :This delay is further magnified at lower concentrations, where increasing intervals of drug exposure are required to initiate cell death. This limitation results from a direct functional dependence of cell death rates on drug concentration in these models [31–36]. EMMA, on the other hand, is a second-order model that requires accumulation of drug-induced damage beyond a certain threshold before the observed cell death can occur.
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2019, Mathematical BiosciencesCitation Excerpt :Those three models are applied to an early stage breast cancer (stage-I breast cancer with a tumor size of 2 cm in diameter). While each proposed model has distinct features, the objective function of minimizing cancer cell population and use of the Gompertz function [13,14] to track the spread and growth of cancer cell population are common aspects in all three models. In the Gompertz model, tumor growth is assumed to be exponential in the early stages of the cancer.
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2014, Trends in Molecular MedicineTumor growth dynamics: Insights into evolutionary processes
2013, Trends in Ecology and EvolutionCitation Excerpt :The Speer–Retsky model predicts the occurrence of spontaneous changes in the growth rate, causing the overall growth pattern to proceed in a stepwise fashion. It uses published clinical data that show irregular growth kinetics [50,51] and argues that traditional growth laws (e.g., exponential or Gompertz) are better suited to describe tumor growth averages, but are not valid for all individual tumors. According to this model, adjuvant chemotherapy should be applied at low doses over a prolonged period of time so that it coincides with the growth spurts.