In this letter, we investigate the mutual information rate (MIR) achieved by an independent identically distributed (IID) Gaussian input on the intensity-driven signal transduction channel. Specifically, the asymptotic expression of the continuous-time MIR is given. Next, aiming at low computational complexity, we also deduce an approximately numerical solution for this MIR. Moreover, the corresponding lower and upper bounds that can be used to find the capacity-achieving input distribution parameters are derived in closed-form. Finally, simulation results show the accuracy of our analysis.

翻译：本文研究了独立同分布高斯输入在强度驱动信号转导通道上所能达到的互信息率。具体而言，给出了连续时间互信息率的渐近表达式。其次，为降低计算复杂度，本文进一步推导了该互信息率的近似数值解。此外，以闭式形式导出可用于确定容量可达输入分布参数的相应上下界。最后，仿真结果验证了分析的准确性。