Decomposable and Essentially Univariate Mass-Action Systems: Extensions of the Deficiency One Theorem
Abhishek Deshpande, Stefan Müller · 2026
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Description
Abhishek Deshpande and Stefan Muller extend in 2026 a classic theorem about chemical reaction networks that settle at one steady state. The older deficiency one results of Feinberg cover networks split into parts, each with small deficiency and one absorbing component. Many real networks in biology and chemistry do not fit those tight limits.
The new work uses a broader notion called monomial dependency, which generalizes deficiency for systems of polynomial equations. A dependency one theorem is proved first for systems that split apart and depend mainly on one variable at a time. The network version then allows parts with any deficiency and any number of absorbing components. The classic extended theorem falls out as a special case of the wider result.
Catalog record
| CREATOR | Abhishek Deshpande, Stefan Müller |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 66 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |