6533b86efe1ef96bd12cb46c

RESEARCH PRODUCT

Remarks on GRN-type systems

Eduard BrokanFelix SadyrbaevFelix Sadyrbaev

subject

0301 basic medicineComputer sciencelcsh:RGeneral EngineeringGene regulatory networkattractorslcsh:MedicineType (model theory)Nullcline03 medical and health sciences030104 developmental biology0302 clinical medicineordinary differential equations030220 oncology & carcinogenesisOrdinary differential equationAttractorgenetic regulatory networksApplied mathematicslcsh:Qlcsh:ScienceFocus (optics)

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.

yearjournalcountryeditionlanguage
2020-01-014open
https://doi.org/10.1051/fopen/2020009