The spruce budworm and forest: a qualitative comparison of ODE and Boolean models
Boolean and polynomial models of biological systems have emerged recently as viable companions to differential equations models. It is not immediately clear however whether such models are capable of capturing the multi-stable behaviour of certain biological systems: this behaviour is often sensitiv...
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| Format: | Article |
| Language: | English |
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Intercollegiate Biomathematics Alliance
2016-01-01
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| Series: | Letters in Biomathematics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23737867.2016.1197804 |
| _version_ | 1811242846724816896 |
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| author | Raina Robeva David Murrugarra |
| author_facet | Raina Robeva David Murrugarra |
| author_sort | Raina Robeva |
| collection | DOAJ |
| description | Boolean and polynomial models of biological systems have emerged recently as viable companions to differential equations models. It is not immediately clear however whether such models are capable of capturing the multi-stable behaviour of certain biological systems: this behaviour is often sensitive to changes in the values of the model parameters, while Boolean and polynomial models are qualitative in nature. In the past few years, Boolean models of gene regulatory systems have been shown to capture multi-stability at the molecular level, confirming that such models can be used to obtain information about the system’s qualitative dynamics when precise information regarding its parameters may not be available. In this paper, we examine Boolean approximations of a classical ODE model of budworm outbreaks in a forest and show that these models exhibit a qualitative behaviour consistent with that derived from the ODE models. In particular, we demonstrate that these models can capture the bistable nature of insect population outbreaks, thus showing that Boolean models can be successfully utilized beyond the molecular level. |
| first_indexed | 2024-04-12T13:57:09Z |
| format | Article |
| id | doaj.art-9307624924b9422391890cc4b164490e |
| institution | Directory Open Access Journal |
| issn | 2373-7867 |
| language | English |
| last_indexed | 2024-04-12T13:57:09Z |
| publishDate | 2016-01-01 |
| publisher | Intercollegiate Biomathematics Alliance |
| record_format | Article |
| series | Letters in Biomathematics |
| spelling | doaj.art-9307624924b9422391890cc4b164490e2022-12-22T03:30:20ZengIntercollegiate Biomathematics AllianceLetters in Biomathematics2373-78672016-01-0131759210.1080/23737867.2016.11978041197804The spruce budworm and forest: a qualitative comparison of ODE and Boolean modelsRaina Robeva0David Murrugarra1Randolph-Macon CollegeUniversity of KentuckyBoolean and polynomial models of biological systems have emerged recently as viable companions to differential equations models. It is not immediately clear however whether such models are capable of capturing the multi-stable behaviour of certain biological systems: this behaviour is often sensitive to changes in the values of the model parameters, while Boolean and polynomial models are qualitative in nature. In the past few years, Boolean models of gene regulatory systems have been shown to capture multi-stability at the molecular level, confirming that such models can be used to obtain information about the system’s qualitative dynamics when precise information regarding its parameters may not be available. In this paper, we examine Boolean approximations of a classical ODE model of budworm outbreaks in a forest and show that these models exhibit a qualitative behaviour consistent with that derived from the ODE models. In particular, we demonstrate that these models can capture the bistable nature of insect population outbreaks, thus showing that Boolean models can be successfully utilized beyond the molecular level.http://dx.doi.org/10.1080/23737867.2016.1197804Boolean networkdiscrete dynamical systembudworm-forest modelqualitative dynamicsbistability |
| spellingShingle | Raina Robeva David Murrugarra The spruce budworm and forest: a qualitative comparison of ODE and Boolean models Letters in Biomathematics Boolean network discrete dynamical system budworm-forest model qualitative dynamics bistability |
| title | The spruce budworm and forest: a qualitative comparison of ODE and Boolean models |
| title_full | The spruce budworm and forest: a qualitative comparison of ODE and Boolean models |
| title_fullStr | The spruce budworm and forest: a qualitative comparison of ODE and Boolean models |
| title_full_unstemmed | The spruce budworm and forest: a qualitative comparison of ODE and Boolean models |
| title_short | The spruce budworm and forest: a qualitative comparison of ODE and Boolean models |
| title_sort | spruce budworm and forest a qualitative comparison of ode and boolean models |
| topic | Boolean network discrete dynamical system budworm-forest model qualitative dynamics bistability |
| url | http://dx.doi.org/10.1080/23737867.2016.1197804 |
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