Date of Award


Document Type

Campus Access Thesis

Degree Name

Master of Science (MS)


Physics, Applied

First Advisor

Rahul V. Kulkarni

Second Advisor

D.V.G.L.N. Rao

Third Advisor

Chandra Yelleswarapu


In this thesis, we study the steady-state behavior of a network of two interacting molecular species, non-coding small RNAs and messenger RNAs, to provide further insight into post-transcriptional regulation of stochastic gene expression. First, we demonstrate that the joint probability distribution of this network cannot be expressed a product of the marginal distributions for each species. Subsequently, we derive analytical expressions for the steady-state joint probability distribution for this network in the strong interaction limit.


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