A Poisson point process in d-dimensional Euclidean space and in time is used to generate a birth-growth model: seeds are born randomly at locations x i in R d at times t i ∈ 0 ∞ . Once a seed is born, it begins to create a cell by growing radially in all directions with speed v > 0. Points of contained in such cells are discarded, that is, thinned. We study the asymptotic distribution of the number of seeds in a region, as the volume of the region tends to infinity. When d = 1, we establish conditions under which the evolution over time of the number of seeds in a region is approximated by a Wiener process. When d ≥ 1, we give conditions for asymptotic normality. Rates of convergence are given in all cases.
Silent aspiration of thin fluids is a common occurrence in dysphagic NPC post-RT, with least aspiration noted on soft diet. Considering the high incidence of silent aspiration, instrumental assessment in this cohort is crucial.
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