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A topic for integrated teaching of mathematics and biology: the parabola of chaos in tumour cell aneuploidy
Published in International Journal of Mathematical Education in Science and Technology, 2022
Dino G. Salinas, Mauricio O. Gallardo
The number of growth cycles for a cell type has a limit, known as the Hayflick limit, which can be obtained from a decay curve . According to Equation (4), the Hayflick limit decreases with greater aneuploidy (calculated according to Equation (2)), as occurs for Down syndrome (Schneider & Epstein, 1972) and some premature ageing syndromes (Mukherjee & Costello, 1998). Figure 4 shows calculations for human and mouse primary fetal cells. The predictions of the Hayflick limit and the dynamics are very accurate for each case when appropriate values are selected for the initial condition and the parameter (Rasnick, 2000).