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This paper explores the Achievable Information Rate (AIR) of a diffusiveMolecular Communication (MC) channel featuring a fully absorbing receiver thatcounts the absorbed particles during symbol time intervals (STIs) and resetsthe counter at the start of each interval. The MC channel, influenced by memoryeffect, experiences inter-symbol interference (ISI) arising from the molecules'delayed arrival. The channel's memory is quantified as an integer multiple ofthe STI and a single-sample memoryless detector is employed to mitigatecomplexity in computing the mutual information (MI). To maximize MI, thedetector threshold is optimized under Gaussian approximation of its input. Thechannel's MI is calculated, considering the influence of ISI, in the context ofbinary concentration shift keying modulation. Two distinct scenarios wereconsidered; independent and correlated source-generated symbols, the lattermodeled as a first-order Markov process. For each communication scenario, twodegrees of knowledge: ISI-Aware and ISI-Unaware were considered. Remarkably, itis demonstrated that employing a correlated source enables the attainment ofhigher capacity. The results indicate that the capacity-achieving inputdistribution is not necessarily uniform. Notably, when the STI is small,corresponding to the case of strong ISI, the maximum AIR is not achievedthrough equiprobable symbol transmission.

Achievable Information Rate Analysis in Diffusive Channels with Memory and Markov Source