Apartial discrete Dirichlet boundary value problem involving mean curvature operator is
concerned in this paper. Under proper assumptions on the nonlinear term, we obtain some …

The stochasticity of transcription can be quantified by mRNA distribution $ P_m (t) $, the
probability that there are $ m $ mRNA molecules for the gene at time $ t $ in one cell …

The periodic transcription output is ubiquitously observed in an isogenic cell population. To
understand mechanisms of cyclic behavior in transcription, we extend the gene activation …

Protein levels can be controlled by regulating protein synthesis or half life. The aim of this
paper is to investigate how introducing feedback in burst frequency or protein decay rate …

In this paper, we investigate positive solutions of boundary value problems for a general
second-order nonlinear difference equation, which includes a Jacobi operator and a …

Gene transcription is a stochastic process characterized by fluctuations in mRNA levels of
the same gene in isogenic cell populations. A central question in single‐cell studies is how …

Gene transcription is a stochastic process, manifested by the heterogeneous mRNA
distribution in an isogenic cell population. Bimodal distribution has been observed in the …

Transcriptional bursting has been attributed to the random switch between the off and on
states of genes. Previous studies modeled gene activation as a process involving ordered …

This paper derives several sufficient conditions for the existence of three solutions to the
Dirichlet problem for a second-order self-adjoint difference equation involving p-Laplacian …

The transcription of inducible genes involves signalling pathways that induce DNA binding
of the downstream transcription factors to form functional promoter states. How the …