Influence of Time Delay on Dynamics of Gene Regulation by MicroRNAs
DOI:
https://doi.org/10.11145/269Abstract
MicroRNAs (miRNAs) are endogenous small RNA molecules that regulate gene expression (transcription and translation) by specific interaction with messenger RNAs (mRNAs). In this way miRNAs involve in pathways of development, programmed cell death, and cancer. It is well-known that В miRNAs silence a target gene or В a set of target genes, but the exact mechanism by which gene silencing is achieved has remained elusive.
In this study we re-consider a well – known mathematical model of gene expression, regulated by miRNAs. The model is presented by a system of four ordinary differential equations (ODEs). Taking into account that some steps of the gene expression process are faster than others we put time delay in the equations of above-mentioned system. Next, we attempt to clarify how the inclusion of time delay alters the dynamic properties of the considered genetic process. For the purpose a stability analysis of delay differential equations (DDEs) is accomplished using nonlinear dynamics theory. We confirm our analytical results by numerical simulations.
Downloads
Published
Issue
Section
License
The journal Biomath Communications is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
