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 cons...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| التنسيق: | Article ou chapitre numérique |
| اللغة: | Anglais |
| منشور في: |
EDP Sciences
2020
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès Université d'Orléans et IFPM Accès INSA CVL |
| الملخص: | 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.
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