dorsal/arxiv
View SchemaBistability preserving model reduction in apoptosis
| Authors | Steffen Waldherr, Thomas Eissing, Madalena Chaves, Frank Allgower |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0702011 |
| URL | https://arxiv.org/abs/q-bio/0702011 |
Abstract
Biological systems are typically very complex and need to be reduced before they are amenable to a thorough analysis. Also, they often possess functionally important dynamic features like bistability. In model reduction, it is sometimes more desirable to preserve the dynamic features only than to recover a good quantitative approximation. We present an approach to reduce the order of a bistable dynamical system significantly while preserving bistability and the switching threshold. These properties are important for the operation of the system in the context of a larger network. As an application example, a bistable model for caspase activation in apoptosis is considered.
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"abstract": "Biological systems are typically very complex and need to be reduced before\nthey are amenable to a thorough analysis. Also, they often possess functionally\nimportant dynamic features like bistability. In model reduction, it is\nsometimes more desirable to preserve the dynamic features only than to recover\na good quantitative approximation. We present an approach to reduce the order\nof a bistable dynamical system significantly while preserving bistability and\nthe switching threshold. These properties are important for the operation of\nthe system in the context of a larger network. As an application example, a\nbistable model for caspase activation in apoptosis is considered.",
"arxiv_id": "q-bio/0702011",
"authors": [
"Steffen Waldherr",
"Thomas Eissing",
"Madalena Chaves",
"Frank Allgower"
],
"categories": [
"q-bio.MN"
],
"title": "Bistability preserving model reduction in apoptosis",
"url": "https://arxiv.org/abs/q-bio/0702011"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e4123f42-b6fc-4c2f-9d09-5422eef1db93",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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"user_id": 1000002
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