Coexistence of Multifarious Exact Nonlinear Wave Solutions for Generalized B-equation. - Rui Liu 009 (Int. J. Bifurc. Chaos, 2010)

Some Common Expressions and New bifurcation Phenomena for nonlinear Waves in a generalized mKdV equation. - Rui Liu 009; Weifang Yan (Int. J. Bifurc. Chaos, 2013)

Dynamical network biomarkers for identifying critical transitions and their driving networks of biologic processes. - Rui Liu 009; Kazuyuki Aihara; Luonan Chen (Quant. Biol., 2013)

CSF protein dynamic driver network: At the crossroads of brain tumorigenesis. - Changlin Fu; Zhou Tan; Rui Liu 009; Shiying Hao; Zhen Li; Pei Chen 004; Taichang Jang; Milton Merchant; John C. Whitin; Oxford Wang; Minyi Guo; Harvey J. Cohen; et al. (BIBM, 2014)

Detecting tissue-specific early warning signals for complex diseases based on dynamical network biomarkers: study of type 2 diabetes by cross-tissue analysis. - Meiyi Li; Tao Zeng 003; Rui Liu 009; Luonan Chen (Briefings Bioinform., 2014)

Identifying critical transitions of complex diseases based on a single sample. - Rui Liu 009; Xiangtian Yu; Xiaoping Liu 002; Dong Xu 002; Kazuyuki Aihara; Luonan Chen (Bioinform., 2014)

Some new nonlinear wave solutions for two (3+1)-dimensional equations. - Yiren Chen; Rui Liu 009 (Appl. Math. Comput., 2015)

NLP based congestive heart failure case finding: A prospective analysis on statewide electronic medical records. - Yue Wang; Jin Luo; Shiying Hao; Haihua Xu 002; Andrew Young Shin; Bo Jin; Rui Liu 009; Xiaohong Deng; Lijuan Wang; Le Zheng; Yifan Zhao; Chunqing Zhu; et al. (Int. J. Medical Informatics, 2015)

Detecting critical state before phase transition of complex biological systems by hidden Markov model. - Pei Chen 004; Rui Liu 009; Yongjun Li; Luonan Chen (Bioinform., 2016)

Quantifying critical states of complex diseases using single-sample dynamic network biomarkers. - Xiaoping Liu 002; Xiao Chang; Rui Liu 009; Xiangtian Yu; Luonan Chen; Kazuyuki Aihara (PLoS Comput. Biol., 2017)

Bifurcations and Exact Solutions in a Nonlinear Wave Equation. - Zongguang Li; Rui Liu 009 (Int. J. Bifurc. Chaos, 2019)

Corrigendum to: Single-sample landscape entropy reveals the imminent phase transition during disease progression. - Rui Liu 009; Pei Chen 004; Luonan Chen (Bioinform., 2020)

Single-sample landscape entropy reveals the imminent phase transition during disease progression. - Rui Liu 009; Pei Chen 004; Luonan Chen (Bioinform., 2020)

Multi-step-ahead Prediction from Short-term Data by Delay-embedding-based Forecast Machine. - Hao Peng 003; Pei Chen 004; Rui Liu 009 (CoRR, 2020)

Bifurcations of Solitary Waves of a Simple Equation. - Jiaopeng Yang; Rui Liu 009; Yiren Chen (Int. J. Bifurc. Chaos, 2020)

Spatiotemporal convolutional network for time-series prediction and causal inference. - Hao Peng 003; Pei Chen 004; Rui Liu 009; Luonan Chen (CoRR, 2021)

scGET: Predicting Cell Fate Transition During Early Embryonic Development by Single-cell Graph Entropy. - Jiayuan Zhong; Chongyin Han; Xuhang Zhang; Pei Chen 004; Rui Liu 009 (Genom. Proteom. Bioinform., 2021)

TPD: a web tool for tipping-point detection based on dynamic network biomarker. - Pei Chen 004; Jiayuan Zhong; Kun Yang; Xuhang Zhang; Yingqi Chen; Rui Liu 009 (Briefings Bioinform., 2022)

Identifying the critical states of complex diseases by the dynamic change of multivariate distribution. - Hao Peng 003; Jiayuan Zhong; Pei Chen 004; Rui Liu 009 (Briefings Bioinform., 2022)

Vec2image: an explainable artificial intelligence model for the feature representation and classification of high-dimensional biological data by vector-to-image conversion. - Hui Tang; Xiangtian Yu; Rui Liu 009; Tao Zeng 003 (Briefings Bioinform., 2022)

Identifying the critical state of complex biological systems by the directed-network rank score method. - Jiayuan Zhong; Chongyin Han; Yangkai Wang; Pei Chen 004; Rui Liu 009 (Bioinform., 2022)

SPNE: sample-perturbed network entropy for revealing critical states of complex biological systems. - Jiayuan Zhong; Dandan Ding; Juntan Liu; Rui Liu 009; Pei Chen 004 (Briefings Bioinform., 2023)

SGAE: single-cell gene association entropy for revealing critical states of cell transitions during embryonic development. - Jiayuan Zhong; Chongyin Han; Pei Chen 004; Rui Liu 009 (Briefings Bioinform., 2023)

Ultralow-dimensionality reduction for identifying critical transitions by spatial-temporal PCA. - Pei Chen 004; Yaofang Suo; Rui Liu 009; Luonan Chen (CoRR, 2025)