具有外部涨落的电报过程：突发动力学及其在家猫活动中的应用
Telegraph Processes with Extrinsic Fluctuations: Burst Dynamics and an Application to Domestic Cat Activity
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中文总结 AI 辅助
本研究提出带外部涨落的双态电报过程模型，解析了平稳统计，发现涨落产生重尾停留时间分布，并在合成及家猫数据中验证了参数推断的改进。
中文摘要 AI 辅助
动物活动通常表现为间歇性突发，其间穿插着长时间的不活动期。在此，我们使用一个具有外部涨落转移率的两态电报过程来描述这种行为。我们推导了系统平稳行为的解析表达式，并刻画了有效转移率的平稳涨落如何改变活动和停留时间统计。特别是，我们表明，固定的转移率导致指数停留时间分布，而平稳的率涨落则生成具有更重尾部的有效Lomax分布。我们还发现，涨落可以增加或减少活跃状态的平均占用率，并且当两个转移率的涨落相等时，它们对平稳占用率的影响与无涨落情况无法区分。我们使用合成数据评估了参数推断，并将该框架应用于一只家猫的观测数据。对于合成数据，考虑外部涨落显著提高了用于生成数据的动力学参数的恢复。在实验数据中，推断出的不活跃到活跃转移率的变异性显著大于活跃到不活跃转移率的变异性。这些结果建立了一个易于处理的框架，用于研究外部变异性重塑突发和停留时间统计的随机切换系统。
英文摘要
Animal activity often consists of intermittent bursts separated by prolonged periods of inactivity. Here, we describe this behavior using a two-state telegraph process with extrinsically fluctuating transition rates. We derived analytical expressions for the stationary behavior of the system and characterized how stationary fluctuations in the effective transition rates modified the activity and residence time statistics. In particular, we show that whereas fixed transition rates lead to exponential residence-time distributions, stationary rate fluctuations generate effective Lomax distributions with heavier tails. We also found that fluctuations can either increase or decrease the mean occupancy of the active state, and that when the fluctuations in the two transition rates are equal, their effect on the stationary occupancy becomes indistinguishable from the case without fluctuations. We assessed the parameter inference using synthetic data and applied the framework to observations of a domestic cat. For synthetic data, accounting for extrinsic fluctuations substantially improved the recovery of the kinetic parameters used to generate the data. In the experimental data, the inferred variability of the inactive-to-active transition rate was substantially larger than that of the active-to-inactive rate. These results establish a tractable framework for studying stochastic switching systems in which extrinsic variability reshapes burst and residence-time statistics.
发表机构
- Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla（普埃布拉自治大学物理数学科学学院）
- Especialidad en Biotecnología Aplicada, Laboratorio de Biología Molecular y Glicosilación en Cáncer, Facultad de Ciencias Químicas, Benemérita Universidad Autónoma de Puebla（普埃布拉自治大学化学学院应用生物技术专业癌症分子生物学与糖基化实验室）
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