This research presents a continuous physics-based simulation framework inspired by bacterial chemotaxis to solve complex computational problems. The journey begins with a 'Pure Desert Tank Battle Kernel', utilizing genetic algorithms to solve the Traveling Salesman Problem (TSP) in hostile environments. By repurposing the continuous chemical fields and tumbling mechanics of bacteria (Run and Tumble), we successfully simulated fundamental logic gates (AND, OR, NOT, NAND, NOR). Eventually, this framework evolved into a fully functional Biological Arithmetic Logic Unit (ALU). By implementing a 'Chemical Multiplexer', the bacterial agents were able to perform addition and subtraction dynamically, proving that continuous chemical gradients can serve as a programmable language for synthetic biology. Research Highlights & Key Milestones · The Pure Kernel & Swarm Routing: Agents utilizing chemotaxis equations successfully navigate dynamic battlefields, finding the "Shortest Survivable Path" for the Traveling Salesman Problem (TSP) while avoiding minefields and enemy drones.· Biological Logic Gates: By treating chemical concentrations as Boolean inputs, bacteria were programmed to perform logical operations. Continuous mathematical operations (e.g., max - min for XOR) replaced traditional if-else statements, allowing bacteria to act as Universal Gates (NAND, NOR).· Arithmetic Circuits: We designed biological Half and Full Adders. Overlapping chemical signals were engineered to cancel each other out (mimicking biological interference), enabling bacterial colonies to perform binary arithmetic.· The Biological ALU: The culmination of this research is a programmable Biological Arithmetic Logic Unit. By introducing a 'Chemical Multiplexer' (MUX) and a third control signal (Op), the system dynamically switches between Addition (Carry logic) and Subtraction (Borrow logic). Scientific Significance This simulation provides a robust mathematical and physical proof-of-concept for Synthetic Biology and Biocomputing. By replacing silicon with chemical gradients and transistors with bacterial chemotaxis, we demonstrated that living cells can compute, calculate, and decide. Future extensions of this model could include implementing biological memory (Flip-Flops) and oscillators (Biological Clocks), paving the way for smart therapeutics and bio-sensors built entirely from programmable living matter.
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MOHAMMED TAHAR SAIM (2026) studied this question.
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