2007.05947
A Computational Approach to Multistationarity in Poly-PL Kinetic Systems
Daryl M. Magpantay, Bryan S. Hernandez, Aurelio A. de los Reyes V, Eduardo R. Mendoza, Ederlina G. Nocon
correctmedium confidence
- Category
- math.DS
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:55 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
Both the paper and the candidate solution prove dynamic equivalence of the PYK system and its STAR‑MSC PLK transform by distributing each poly-PL term into a separate reaction with the same stoichiometric vector, yielding identical ODE vector fields f* = f. They also correctly deduce the transfer of monostationarity/multistationarity capacity via this equivalence. The steps about canonical equalization of term counts, the choice of M ensuring distinct complexes, and S-invariance are stated and used consistently.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The work correctly formalizes STAR–MSC and its dynamic equivalence to PYK systems, then leverages MSA to check multistationarity capacity. The central arguments are sound and well supported. While specialized, the pipeline is practically useful for extending MSA beyond PLK. Minor editorial and expository changes would further clarify assumptions and parameter dependencies.