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在具有细胞可塑性的随机模型中从相对比例推断绝对细胞数量。

Inferring absolute cell numbers from relative proportion in stochastic models with cell plasticity.

作者信息

Wang Yuman, Chen Shuli, Lu Zhaolian, Liu Yu, Hu Jie, Zhou Da

机构信息

School of Mathematical Sciences, Xiamen University, Xiamen, 361005, PR China; National Institute for Data Science in Health and Medicine, Xiamen University, Xiamen, 361005, PR China.

School of Mathematics, Sun Yat-sen University, Guangdong, 510275, PR China.

出版信息

J Theor Biol. 2025 Jul 7;608:112133. doi: 10.1016/j.jtbi.2025.112133. Epub 2025 Apr 24.

Abstract

Quantifying dynamic changes in cell populations is crucial for a comprehensive understanding of biological processes such as cell proliferation, injury repair, and disease progression. However, compared to directly measuring the absolute cell numbers of specific subpopulations, relative proportion data demonstrate greater reproducibility and yield more stable, reliable outcomes. Therefore, inferring absolute cell numbers from relative proportion data may present a novel approach for effectively predicting changes in cell population sizes. To address this, we establish two mathematical mappings between cell proportions and population sizes using moment equations derived from stochastic cell-plasticity models. Notably, our findings indicate that one of these mappings does not require prior knowledge of the initial population size, highlighting the value of incorporating variance information into cell proportion data. We evaluated the robustness of our methods from multiple perspectives and extended their application to various biological mechanisms within the context of cell plasticity models. These methods help mitigate the limitations associated with the direct measurement of absolute cell counts through experimental techniques. Moreover, they provide new insights into leveraging the stochastic dynamics of cell populations to quantify interactions between different biomasses within the system.

摘要

量化细胞群体的动态变化对于全面理解细胞增殖、损伤修复和疾病进展等生物过程至关重要。然而,与直接测量特定亚群的绝对细胞数量相比,相对比例数据具有更高的可重复性,并能产生更稳定、可靠的结果。因此,从相对比例数据推断绝对细胞数量可能是一种有效预测细胞群体大小变化的新方法。为了解决这个问题,我们使用从随机细胞可塑性模型导出的矩方程,在细胞比例和群体大小之间建立了两个数学映射。值得注意的是,我们的研究结果表明,其中一个映射不需要初始群体大小的先验知识,这突出了将方差信息纳入细胞比例数据的价值。我们从多个角度评估了我们方法的稳健性,并将其应用扩展到细胞可塑性模型背景下的各种生物机制。这些方法有助于减轻通过实验技术直接测量绝对细胞计数所带来的局限性。此外,它们为利用细胞群体的随机动力学来量化系统内不同生物量之间的相互作用提供了新的见解。

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