32 citations · 174 across the 25 of their papers we have counts for
25 papers
Algebraic Multiplicity and the Poincaré Problem
Jinzhi Lei, Lijun Yang
In this paper we derive an upper bound for the degree of the strict invariant algebraic curve of a polynomial system in the complex project plane under generic condition. The resul…
Dynamics of cell-type transition mediated by epigenetic modifications
Rongsheng Huang, Qiaojun Situ, Jinzhi Lei
Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. The Waddington landscape posits that gene circuits in a cell form a potential landscape…
Power law dependence in a random differential equation
Qiuxin Lv, Wei Ma, Jinzhi Lei
This paper studies a random differential equation with random switch perturbations. We explore how the maximum displacement from the equilibrium state depends on the statistical pr…
Using single-cell entropy to describe the dynamics of reprogramming and differentiation of induced pluripotent stem cells
Yusong Ye, Zhuoqin Yang, Jinzhi Lei
Induced pluripotent stem cells (iPSCs) provide a great model to study the process of reprogramming and differentiation of stem cells. Single-cell RNA sequencing (scRNA-seq) enables…
DNA methylation heterogeneity induced by collaborations between enhancers
Yusong Ye, Zhuoqin Yang, Jinzhi Lei
During mammalian embryo development, reprogramming of DNA methylation plays important roles in the erasure of parental epigenetic memory and the establishment of naïve pluripogent…
Single-cell entropy to quantify the cellular transcription from single-cell RNA-seq data
Jingxin Liu, You Song, Jinzhi Lei
We present the use of single-cell entropy (scEntropy) to measure the order of the cellular transcriptome profile from single-cell RNA-seq data, which leads to a method of unsupervi…