2025/06/05 by Van Hà Hoang, Hoang, Van Ha, Nguyen Minh Phu +7
Engineering · #AMS2020: 62G10 #Applications (stat.AP) #Electrostatic Discharge in Electronics #FOS: Computer and information sciences #Industrial Vision Systems and Defect Detection #Integrated Circuits and Semiconductor Failure Analysis #Methodology (stat.ME)
paper · pdf · doi:10.48550/arxiv.2506.05103
openalex publication_date 2025/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider two division models for structured cell populations, where cells can grow, age and divide. These models have been introduced in the literature under the denomination of `mitosis' and `adder' models. In the recent years, there has been an increasing interest in biology to understand whether the cells divide equally or not, as this can be related to important mechanisms in cellular aging or recovery. We are therefore interested in testing the null hypothesis H0 where the division of a mother cell results into two daughters of equal size, against the alternative hypothesis H1 where the division is asymmetric and ruled by a kernel that is absolutely continuous with respect to the Lebesgue measure. The sample consists of i.i.d. observations of cell sizes and ages drawn from the population, and the division is not directly observed. The hypotheses of the test are reformulated as hypotheses on the stationary size and age distributions of the models, which we assume are also the distributions of the observations. We propose a goodness-of-fit test that we study numerically on simulated data before applying it on real data.