A characterization of scale invariant responses in enzymatic networks.
An ubiquitous property of biological sensory systems is adaptation: a step increase in stimulus triggers an initial change in a biochemical or physiological response, followed by a more gradual relaxation toward a basal, pre-stimulus level. Adaptation helps maintain essential variables within accept...
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Public Library of Science (PLoS)
2012-01-01
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| Series: | PLoS Computational Biology |
| Online Access: | https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002748&type=printable |
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| author | Maja Skataric Eduardo D Sontag |
| author_facet | Maja Skataric Eduardo D Sontag |
| author_sort | Maja Skataric |
| collection | DOAJ |
| description | An ubiquitous property of biological sensory systems is adaptation: a step increase in stimulus triggers an initial change in a biochemical or physiological response, followed by a more gradual relaxation toward a basal, pre-stimulus level. Adaptation helps maintain essential variables within acceptable bounds and allows organisms to readjust themselves to an optimum and non-saturating sensitivity range when faced with a prolonged change in their environment. Recently, it was shown theoretically and experimentally that many adapting systems, both at the organism and single-cell level, enjoy a remarkable additional feature: scale invariance, meaning that the initial, transient behavior remains (approximately) the same even when the background signal level is scaled. In this work, we set out to investigate under what conditions a broadly used model of biochemical enzymatic networks will exhibit scale-invariant behavior. An exhaustive computational study led us to discover a new property of surprising simplicity and generality, uniform linearizations with fast output (ULFO), whose validity we show is both necessary and sufficient for scale invariance of three-node enzymatic networks (and sufficient for any number of nodes). Based on this study, we go on to develop a mathematical explanation of how ULFO results in scale invariance. Our work provides a surprisingly consistent, simple, and general framework for understanding this phenomenon, and results in concrete experimental predictions. |
| format | Article |
| id | doaj-art-8f3bacf55fcb4f5399b000129149f89e |
| institution | DOAJ |
| issn | 1553-734X 1553-7358 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS Computational Biology |
| spelling | doaj-art-8f3bacf55fcb4f5399b000129149f89e2025-08-20T03:01:15ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582012-01-01811e100274810.1371/journal.pcbi.1002748A characterization of scale invariant responses in enzymatic networks.Maja SkataricEduardo D SontagAn ubiquitous property of biological sensory systems is adaptation: a step increase in stimulus triggers an initial change in a biochemical or physiological response, followed by a more gradual relaxation toward a basal, pre-stimulus level. Adaptation helps maintain essential variables within acceptable bounds and allows organisms to readjust themselves to an optimum and non-saturating sensitivity range when faced with a prolonged change in their environment. Recently, it was shown theoretically and experimentally that many adapting systems, both at the organism and single-cell level, enjoy a remarkable additional feature: scale invariance, meaning that the initial, transient behavior remains (approximately) the same even when the background signal level is scaled. In this work, we set out to investigate under what conditions a broadly used model of biochemical enzymatic networks will exhibit scale-invariant behavior. An exhaustive computational study led us to discover a new property of surprising simplicity and generality, uniform linearizations with fast output (ULFO), whose validity we show is both necessary and sufficient for scale invariance of three-node enzymatic networks (and sufficient for any number of nodes). Based on this study, we go on to develop a mathematical explanation of how ULFO results in scale invariance. Our work provides a surprisingly consistent, simple, and general framework for understanding this phenomenon, and results in concrete experimental predictions.https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002748&type=printable |
| spellingShingle | Maja Skataric Eduardo D Sontag A characterization of scale invariant responses in enzymatic networks. PLoS Computational Biology |
| title | A characterization of scale invariant responses in enzymatic networks. |
| title_full | A characterization of scale invariant responses in enzymatic networks. |
| title_fullStr | A characterization of scale invariant responses in enzymatic networks. |
| title_full_unstemmed | A characterization of scale invariant responses in enzymatic networks. |
| title_short | A characterization of scale invariant responses in enzymatic networks. |
| title_sort | characterization of scale invariant responses in enzymatic networks |
| url | https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002748&type=printable |
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