A parameter-free model comparison test using differential algebra
We present a method for rejecting competing models from noisy time-course data that does not rely on parameter inference. First we characterize ordinary differential equation models in only measurable variables using differential-algebra elimination. This procedure gives input-output equations, whic...
| Main Authors: | , , |
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| Format: | Journal article |
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Hindawi Publishing Corporation
2019
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| _version_ | 1826264661883879424 |
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| author | Harrington, H Ho, K Meshkat, N |
| author_facet | Harrington, H Ho, K Meshkat, N |
| author_sort | Harrington, H |
| collection | OXFORD |
| description | We present a method for rejecting competing models from noisy time-course data that does not rely on parameter inference. First we characterize ordinary differential equation models in only measurable variables using differential-algebra elimination. This procedure gives input-output equations, which serve as invariants for time series data. We develop a model comparison test using linear algebra and statistics to reject incorrect models from their invariants. This algorithm exploits the dynamic properties that are encoded in the structure of the model equations without recourse to parameter values, and, in this sense, the approach is parameter-free. We demonstrate this method by discriminating between different models from mathematical biology. |
| first_indexed | 2024-03-06T20:11:26Z |
| format | Journal article |
| id | oxford-uuid:2ab014b2-538d-4c81-9120-2e9285a922d6 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:11:26Z |
| publishDate | 2019 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | oxford-uuid:2ab014b2-538d-4c81-9120-2e9285a922d62022-03-26T12:26:35ZA parameter-free model comparison test using differential algebraJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2ab014b2-538d-4c81-9120-2e9285a922d6Symplectic Elements at OxfordHindawi Publishing Corporation2019Harrington, HHo, KMeshkat, NWe present a method for rejecting competing models from noisy time-course data that does not rely on parameter inference. First we characterize ordinary differential equation models in only measurable variables using differential-algebra elimination. This procedure gives input-output equations, which serve as invariants for time series data. We develop a model comparison test using linear algebra and statistics to reject incorrect models from their invariants. This algorithm exploits the dynamic properties that are encoded in the structure of the model equations without recourse to parameter values, and, in this sense, the approach is parameter-free. We demonstrate this method by discriminating between different models from mathematical biology. |
| spellingShingle | Harrington, H Ho, K Meshkat, N A parameter-free model comparison test using differential algebra |
| title | A parameter-free model comparison test using differential algebra |
| title_full | A parameter-free model comparison test using differential algebra |
| title_fullStr | A parameter-free model comparison test using differential algebra |
| title_full_unstemmed | A parameter-free model comparison test using differential algebra |
| title_short | A parameter-free model comparison test using differential algebra |
| title_sort | parameter free model comparison test using differential algebra |
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