engleski

Continuum model of gene expression

All living organisms have genes that are differentially activated and repressed to regulate life processes. Gene regulations drives expressions of gene at precise levels, spatial locations and time. We want to describe such process with PDE in order to gain better understanding understanding. One sRNA may regulate several different genes by binding to several mRNA targets creating different effects in the espression of a gene. In our model we have free sRNAs and free mRNAs of different types. It is important to notice that different types of sRNA may have some of the target mRNAs the same. Studies have shown that members of the Argonaute (Ago) protein family are core components of RISC. The RNA-induced silencing complex, or, RISC, is a multiprotein complex that incorporates one strand of a sRNA and uses it as a template for recognizing complementary mRNA. When it finds a complementary strand, it activates argonaute and cleaves the RNA. This is why we are going to include concentrations of Ago and complexes consisting of sRNAs bound to Ago protein in our model. This complex is associated with association rateand it may dissociate to its original components with dissociation rate. Once Ago-sRNA complex is assembled, it may bind to an i-th mRNA target and induce mRNA degradation. Of particular importance is the mobility of the RNAs, Argonaute and Ago-sRNA complexes between cells across the tissue. We model it by the system of parabolic PDE.

sRNA; Argonaute; nonlinear pde;

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