dorsal/arxiv
View SchemaFermentation kinetics including product and substrate inhibitions plus biomass death: a mathematical analysis
| Authors | Mathieu Bouville |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0509014 |
| URL | https://arxiv.org/abs/q-bio/0509014 |
| DOI | 10.1007/s10529-006-9296-z |
| Journal | Biotechnology Letters 29(5), 737-741 (2007) |
Abstract
Fermentation is generally modelled by kinetic equations giving the time evolutions for biomass, substrate, and product concentrations. Although these equations can be solved analytically in simple cases if substrate/product inhibition and biomass death are included, they are typically solved numerically. We propose an analytical treatment of the kinetic equations --including cell death and an arbitrary number of inhibitions-- in which constant yield needs not be assumed. Equations are solved in phase space, i.e. the biomass concentration is written explicitly as a function of the substrate concentration.
{
"annotation_id": "a1000cf4-ad43-4c91-9df5-09b7dd9ccb41",
"date_created": "2026-03-02T18:01:32.334000Z",
"date_modified": "2026-03-02T18:01:32.334000Z",
"file_hash": "ea23d348c920daa42b3851cfaacfd4150faeb43297dc2aafd5a158f4f38d4823",
"private": false,
"record": {
"abstract": "Fermentation is generally modelled by kinetic equations giving the time\nevolutions for biomass, substrate, and product concentrations. Although these\nequations can be solved analytically in simple cases if substrate/product\ninhibition and biomass death are included, they are typically solved\nnumerically. We propose an analytical treatment of the kinetic equations\n--including cell death and an arbitrary number of inhibitions-- in which\nconstant yield needs not be assumed. Equations are solved in phase space, i.e.\nthe biomass concentration is written explicitly as a function of the substrate\nconcentration.",
"arxiv_id": "q-bio/0509014",
"authors": [
"Mathieu Bouville"
],
"categories": [
"q-bio.QM",
"q-bio.PE"
],
"doi": "10.1007/s10529-006-9296-z",
"journal_ref": "Biotechnology Letters 29(5), 737-741 (2007)",
"title": "Fermentation kinetics including product and substrate inhibitions plus biomass death: a mathematical analysis",
"url": "https://arxiv.org/abs/q-bio/0509014"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d72571aa-5dbe-4524-96e8-089134c71bb1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}