# Universal Bound on the Fano Factor in Enzyme Kinetics

Source: [Universal Bound on the Fano Factor in Enzyme Kinetics](<https://www.sota2.com/research/paper/68fa312f1e209131ce87c79a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:42.991Z

Authors: Andre C. Barato, Udo Seifert

Published: 2015-05-13T16:26:49.000Z

## Abstract

The Fano factor, an observable quantifying fluctuations of product generation by a single enzyme, can reveal information about the underlying reaction scheme. A lower bound on this Fano factor that depends on the thermodynamic affinity driving the transformation from substrate to product constrains the number of intermediate states of an enzymatic cycle. So far, this bound has been proven only for a unicyclic network of states. We show that the bound can be extended to arbitrary multicyclic networks, with the Fano factor constraining the largest value of the effective length, which is the ratio between the number of states and the number of products, among all cycles.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1505.03450>)

[PDF](<https://arxiv.org/pdf/1505.03450.pdf>)