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As simple as possible, but no simpler: coming to (mathematical) terms with the impact of fine temporal and spatial scales in plant developmental homeostasis Grieneisen, Veronica
Description
For years, I have been torn by a constant pressure to add more â detailâ to our cellular models of plant development while also being driven to capture the essence of a phenomenon. I hope to illustrate this conundrum by a case-study on plant development and nutrient uptake. Through modelling and mathematical analysis and combined with experimental verifications, I will show how 1) very fast temporal cellular responses are critical for maintaining steady-state tissue-level behaviour, even in the absence of external variation; and 2) how sub-cellular spatial compartments, such as the cell wall, enable tissue-scale patterns to arise that are fundamentally distinct from what is possible without these sub-cellular features. We were only able to achieve these insights by capturing certain â detailsâ within multilevel cellular models, only later realising their true significance. Nevertheless, the mechanisms, relying on detailed spatial and temporal structures in a multi-level setting, yielded parsimonious explanations.
Item Metadata
| Title |
As simple as possible, but no simpler: coming to (mathematical) terms with the impact of fine temporal and spatial scales in plant developmental homeostasis
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-12-12T10:43
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| Description |
For years, I have been torn by a constant pressure to add more â detailâ to our cellular models of plant development while also being driven to capture the essence of a phenomenon. I hope to illustrate this conundrum by a case-study on plant development and nutrient uptake. Through modelling and mathematical analysis and combined with experimental verifications, I will show how 1) very fast temporal cellular responses are critical for maintaining steady-state tissue-level behaviour, even in the absence of external variation; and 2) how sub-cellular spatial compartments, such as the cell wall, enable tissue-scale patterns to arise that are fundamentally distinct from what is possible without these sub-cellular features. We were only able to achieve these insights by capturing certain â detailsâ within multilevel cellular models, only later realising their true significance. Nevertheless, the mechanisms, relying on detailed spatial and temporal structures in a multi-level setting, yielded parsimonious explanations.
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| Extent |
42.0
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Cardiff University
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| Series | |
| Date Available |
2019-03-12
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0376813
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International