Abstract
In a recent clone-tracking experiment, millions of uniquely tagged hematopoietic stem cells (HSCs) and progenitor cells were autologously transplanted into rhesus macaques and peripheral blood containing thousands of tags were sampled and sequenced over 14 years to quantify the abundance of hundreds to thousands of tags or “clones.” Two major puzzles of the data have been observed: consistent differences and massive temporal fluctuations of clone populations. The large sample-to-sample variability can lead clones to occasionally go “extinct” but “resurrect” themselves in subsequent samples. Although heterogeneity in HSC differentiation rates, potentially due to tagging, and random sampling of the animals’ blood and cellular demographic stochasticity might be invoked to explain these features, we show that random sampling cannot explain the magnitude of the temporal fluctuations. Moreover, we show through simpler neutral mechanistic and statistical models of hematopoiesis of tagged cells that a broad distribution in clone sizes can arise from stochastic HSC self-renewal instead of tag-induced heterogeneity. The very large clone population fluctuations that often lead to extinctions and resurrections can be naturally explained by a generation-limited proliferation constraint on the progenitor cells. This constraint leads to bursty cell population dynamics underlying the large temporal fluctuations. We analyzed experimental clone abundance data using a new statistic that counts clonal disappearances and provided least-squares estimates of two key model parameters in our model, the total HSC differentiation rate and the maximum number of progenitor-cell divisions.
Highlights
Hematopoiesis of virally tagged cells in rhesus macaques is analyzed in the context of a mechanistic and statistical model
Hematopoiesis is a process by which hematopoietic stem cells (HSCs) produce all the mature blood in an animal through a series of proliferating and differentiating divisions [1]
The mean squared error (MSE) objective function can be plotted as a function of the proliferation rate rn 2 [0.01, 10] and proliferation potential Le 2 [19, 28] of progenitor cells in their respective biologically relevant ranges
Summary
Hematopoiesis is a process by which hematopoietic stem cells (HSCs) produce all the mature blood in an animal through a series of proliferating and differentiating divisions [1]. How the relatively small HSC population generates more than 1011 cells of multiple types daily over an organism’s lifetime has yet to be fully understood. It is hard to track the dynamics of individual HSCs, while HSCs in vitro do not typically proliferate or differentiate as efficiently. The dynamics of HSCs can be inferred only from analyses of populations of progenitors and differentiated blood cells [7] and it is useful to investigate HSC dynamics through mathematical modeling and simulations [8,9,10]
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