Remarks on GRN-type systems
Systems of ordinary differential equations that appear in gene regulatory networks theory are considered. We are focused on asymptotical behavior of solutions. There are stable critical points as well as attractive periodic solutions in two-dimensional and three-dimensional systems. Instead of consi...
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EDP Sciences
2020-01-01
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| Series: | 4 open |
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| Online Access: | https://www.4open-sciences.org/articles/XXXXX/full_html/2020/01/fopen200009/fopen200009.html |
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doaj-728e83fdd7224fb78b10c0c303cb56a22021-04-02T11:49:19ZengEDP Sciences4 open2557-02502020-01-013810.1051/XXXXX/2020009fopen200009Remarks on GRN-type systemsBrokan Eduard0Sadyrbaev FelixDaugavpils UniversitySystems of ordinary differential equations that appear in gene regulatory networks theory are considered. We are focused on asymptotical behavior of solutions. There are stable critical points as well as attractive periodic solutions in two-dimensional and three-dimensional systems. Instead of considering multiple parameters (10 in a two-dimensional system) we focus on typical behaviors of nullclines. Conclusions about possible attractors are made.https://www.4open-sciences.org/articles/XXXXX/full_html/2020/01/fopen200009/fopen200009.htmlordinary differential equationsgenetic regulatory networksattractors |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Brokan Eduard Sadyrbaev Felix |
| spellingShingle |
Brokan Eduard Sadyrbaev Felix Remarks on GRN-type systems 4 open ordinary differential equations genetic regulatory networks attractors |
| author_facet |
Brokan Eduard Sadyrbaev Felix |
| author_sort |
Brokan Eduard |
| title |
Remarks on GRN-type systems |
| title_short |
Remarks on GRN-type systems |
| title_full |
Remarks on GRN-type systems |
| title_fullStr |
Remarks on GRN-type systems |
| title_full_unstemmed |
Remarks on GRN-type systems |
| title_sort |
remarks on grn-type systems |
| publisher |
EDP Sciences |
| series |
4 open |
| issn |
2557-0250 |
| publishDate |
2020-01-01 |
| description |
Systems of ordinary differential equations that appear in gene regulatory networks theory are considered. We are focused on asymptotical behavior of solutions. There are stable critical points as well as attractive periodic solutions in two-dimensional and three-dimensional systems. Instead of considering multiple parameters (10 in a two-dimensional system) we focus on typical behaviors of nullclines. Conclusions about possible attractors are made. |
| topic |
ordinary differential equations genetic regulatory networks attractors |
| url |
https://www.4open-sciences.org/articles/XXXXX/full_html/2020/01/fopen200009/fopen200009.html |
| work_keys_str_mv |
AT brokaneduard remarksongrntypesystems AT sadyrbaevfelix remarksongrntypesystems |
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1721571174915244032 |