AI 中文总结
研究化学传感中伯格 - 珀塞尔精度界限与分子受体信息容量的关系，推导两者联系的表达式，表明理想模型下扩散限制采样不设限，考虑时间积分等因素后得出时钟限制的信息容量界限，建立了有限的受体级信息界限。
AI 中文摘要
传统上，化学传感的物理极限表示为伯格 - 珀塞尔估计精度界限。尽管细胞信号传导性能自然以比特而非仅精度来量化，但这些界限是否也限制分子受体可传输的信息总量仍不明确。在此，我们推导了伯格 - 珀塞尔型传感极限与单个双态受体信息容量之间的明确联系，得出一个紧凑表达式，区分了浓度范围、受体拷贝数和平均时间的贡献。我们表明，在理想固定时间占用模型中，仅扩散限制采样并不定义有限的全局信息界限：在具有完美指定积分窗口和无界输入范围的情况下，信息容量随动态范围无界增长，尽管增长缓慢。当时间积分被视为明确的物理资源时会出现有限饱和。有限的定时精度产生时钟限制的信息容量界限，在高占用率情况下，信息传输从扩散限制行为转变为时钟限制行为。这些结果共同建立了一个以比特为单位的受体级信息界限，一旦考虑定时精度约束，该界限就是有限的。
英文摘要
Physical limits to chemical sensing are traditionally expressed as Berg-Purcell bounds on estimation accuracy. Whether these bounds also limit the total amount of information a molecular receptor can transmit has remained unclear, despite the fact that cellular signaling performance is naturally quantified in bits rather than precision alone. Here we derive an explicit link between Berg-Purcell-type sensing limits and the information capacity of a single two-state receptor, yielding a compact expression that separates contributions from concentration range, receptor copy number, and averaging time. We show that, in the ideal fixed-time occupancy model, diffusion-limited sampling alone does not define a finite global information bound: with a perfectly specified integration window and unbounded input range, information capacity grows without bound with dynamic range, albeit slowly. A finite saturation arises when time integration is treated as an explicit physical resource. Finite timing precision yields a clock-limited bound on information capacity, and in the high-occupancy regime information transmission crosses over from diffusion-limited to clock-limited behavior. Together, these results establish a receptor-level information bound in bits that is finite once constraints on timing precision are taken into account.
