Most of the works reported in the existing molecular communication literature make an assumption that the information molecules released in the fluid medium do not interact with each other and follow independent and identically distributed paths to the receiver. However, there are certain molecular transport paradigms where such an assumption does not hold and the interactions between the information molecules play an important role in characterizing such molecular communication processes. Motivated by this, we provide in this letter an analysis for the possible interaction between two information molecules that are released into the fluid medium a certain time interval apart in the case of a molecular timing channel. We calculate the probability that the two information molecules collide before any one of them is absorbed at the boundary. We also derive the distribution of the collision time and the collision position of the information molecules. Furthermore, numerical results corroborate our analysis.

中文翻译：

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表征分子通信中信息粒子之间碰撞的概率

现有分子通信文献中报道的大多数工作都假设流体介质中释放的信息分子不会相互作用，而是遵循独立且相同分布的路径到达接收器。然而，在某些分子传输范式中，这种假设并不成立，并且信息分子之间的相互作用在表征此类分子通信过程中起着重要作用。受此启发，我们在这封信中分析了两个信息分子之间可能的相互作用，在分子计时通道的情况下，这些信息分子以一定的时间间隔释放到流体介质中。我们计算两个信息分子在其中任何一个被边界吸收之前发生碰撞的概率。我们还推导出碰撞时间的分布和信息分子的碰撞位置。此外，数值结果证实了我们的分析。