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http://hdl.handle.net/1942/36297| Title: | Relaxation oscillations and canards of a regulated two-gene model | Authors: | DE MAESSCHALCK, Peter Kiss, G Kovacs, A |
Issue Date: | 2021 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | Journal of mathematical analysis and applications (Print), 502 (1) (Art N° 125144) | Abstract: | We investigate a two-gene system with an autoregulatory feedback loop using geometric singular perturbation theory. We identify (coexisting) relaxation oscillations, singular Hopf bifurcations, homoclinic loops etc. We also demonstrate a new method to compute the criticality of the singular Hopf bifurcations. (c) 2021 Elsevier Inc. All rights reserved. | Keywords: | Gene expression;Regulatory network;Canards;Relaxation oscillations;Singular Hopf bifurcation;Geometric singular perturbation theory | Document URI: | http://hdl.handle.net/1942/36297 | ISSN: | 0022-247X | e-ISSN: | 1096-0813 | DOI: | 10.1016/j.jmaa.2021.125144 | ISI #: | 000656697300004 | Rights: | 2021 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2022 |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Relaxation oscillations and canards of a regulated two–gene model.pdf Restricted Access | Published version | 488.98 kB | Adobe PDF | View/Open Request a copy |
| DKK05GKFRB2_1_.pdf | Peer-reviewed author version | 1.64 MB | Adobe PDF | View/Open |
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