Bacterial Gene Regulatory Neural Network as a Biocomputing Library of Mathematical Solvers

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Main Authors: Ratwatte, Adrian, Somathilaka, Samitha, Cao, Thanh, Li, Xu, Balasubramaniam, Sasitharan
Format: Preprint
Published: 2025
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author Ratwatte, Adrian
Somathilaka, Samitha
Cao, Thanh
Li, Xu
Balasubramaniam, Sasitharan
author_facet Ratwatte, Adrian
Somathilaka, Samitha
Cao, Thanh
Li, Xu
Balasubramaniam, Sasitharan
contents Current biocomputing approaches predominantly rely on engineered circuits with fixed logic, offering limited stability and reliability under diverse environmental conditions. Here, we use the GRNN framework introduced in our previous work to transform bacterial gene expression dynamics into a biocomputing library of mathematical solvers. We introduce a sub-GRNN search algorithm that identifies functional subnetworks tailored to specific mathematical calculation and classification tasks by evaluating gene expression patterns across chemically encoded input conditions. Tasks include identifying Fibonacci numbers, prime numbers, multiplication, and Collatz step counts. The identified problem-specific sub-GRNNs are then assessed using gene-wise and collective perturbation, as well as Lyapunov-based stability analysis, to evaluate robustness and reliability. Our results demonstrate that native transcriptional machinery can be harnessed to perform diverse mathematical calculation and classification tasks, while maintaining computing stability and reliability.
format Preprint
id arxiv_https___arxiv_org_abs_2509_21598
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bacterial Gene Regulatory Neural Network as a Biocomputing Library of Mathematical Solvers
Ratwatte, Adrian
Somathilaka, Samitha
Cao, Thanh
Li, Xu
Balasubramaniam, Sasitharan
Emerging Technologies
Computational Engineering, Finance, and Science
Current biocomputing approaches predominantly rely on engineered circuits with fixed logic, offering limited stability and reliability under diverse environmental conditions. Here, we use the GRNN framework introduced in our previous work to transform bacterial gene expression dynamics into a biocomputing library of mathematical solvers. We introduce a sub-GRNN search algorithm that identifies functional subnetworks tailored to specific mathematical calculation and classification tasks by evaluating gene expression patterns across chemically encoded input conditions. Tasks include identifying Fibonacci numbers, prime numbers, multiplication, and Collatz step counts. The identified problem-specific sub-GRNNs are then assessed using gene-wise and collective perturbation, as well as Lyapunov-based stability analysis, to evaluate robustness and reliability. Our results demonstrate that native transcriptional machinery can be harnessed to perform diverse mathematical calculation and classification tasks, while maintaining computing stability and reliability.
title Bacterial Gene Regulatory Neural Network as a Biocomputing Library of Mathematical Solvers
topic Emerging Technologies
Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2509.21598