Input-to-state stability of chemical reaction networks with application to molecular computation

Abstract

Input-to-state stability (ISS) provides a useful tool for analyzing the robustness of time-varying chemical reaction networks (CRNs). This paper investigates the ISS property for CRNs in two cases: one is for weakly reversible CRNs with nonzero deficiency and multiple linkage classes, which is beyond the limit of existing results requesting a weakly reversible CRN to be zero-deficiency and single-linkage-class; the other is for non-weakly reversible CRNs by leveraging the notion of linear conjugacy. These results, on the one hand enrich the studies of the ISS property of broader classes of CRNs, on the other hand serve for designing CRN-based molecular computing systems. The latter application suggests the ISS theory can justify the parallel mechanism of biomolecular computations. We use some CRNs of practical relevance to demonstrate our results, including the p53 signaling and dimerization network, the p21-activated kinase 1 network, etc.

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BibTeX RIS

BibTeX

@misc{jiang2026inputtostate,
  title = {{Input-to-state stability of chemical reaction networks with application to molecular computation}},
  author = {Renlei Jiang and Xiaoyu Zhang and Chuanhou Gao and Denis Dochain},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.13302},
  eprint = {2608.13302},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.13302},
}

RIS

TY  - UNPB
TI  - Input-to-state stability of chemical reaction networks with application to molecular computation
AU  - Renlei Jiang
AU  - Xiaoyu Zhang
AU  - Chuanhou Gao
AU  - Denis Dochain
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2608.13302
UR  - https://arxiv.org/abs/2608.13302
AB  - Input-to-state stability (ISS) provides a useful tool for analyzing the robustness of time-varying chemical reaction networks (CRNs). This paper investigates the ISS property for CRNs in two cases: one is for weakly reversible CRNs with nonzero deficiency and multiple linkage classes, which is beyond the limit of existing results requesting a weakly reversible CRN to be zero-deficiency and single-linkage-class; the other is for non-weakly reversible CRNs by leveraging the notion of linear conjugacy. These results, on the one hand enrich the studies of the ISS property of broader classes of CRNs, on the other hand serve for designing CRN-based molecular computing systems. The latter application suggests the ISS theory can justify the parallel mechanism of biomolecular computations. We use some CRNs of practical relevance to demonstrate our results, including the p53 signaling and dimerization network, the p21-activated kinase 1 network, etc.
ER  -

Abstract

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