Towards a Molecular Computer: Enabling Arithmetic Operations in Molecular Communication
Jianqiao Long, Lei Zhang, Miaowen Wen, Kezhi Wang, Natalio Krasnogor,, and Jichun Li

TL;DR
This paper introduces a novel molecular communication framework that enables arithmetic operations at the nanoscale by encoding numerical values into molecules, facilitating complex computations within molecular networks.
Contribution
It presents a new method for performing addition, subtraction, multiplication, and division in molecular communication systems, integrating computation directly into the communication process.
Findings
Theoretical upper bound on bit error rate established.
Simulations demonstrate robustness in arithmetic operations.
Framework enables fundamental nanoscale computations.
Abstract
In current molecular communication (MC) systems, performing computational operations at the nanoscale remains challenging, restricting their applicability in complex scenarios such as adaptive biochemical control and advanced nanoscale sensing. To overcome this challenge, this paper proposes a novel framework that seamlessly integrates computation into the molecular communication process. The system enables arithmetic operations, namely addition, subtraction, multiplication, and division, by encoding numerical values into two types of molecules emitted by each transmitter to represent positive and negative values, respectively. Specifically, addition is achieved by transmitting non-reactive molecules, while subtraction employs reactive molecules that interact during propagation. The receiver demodulates molecular counts to directly compute the desired results. Theoretical analysis for…
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