Mapping transcriptomic vector fields of single cells

Xiaojie Qiu, Yan Zhang, Jorge D. Martin-Rufino, +19

Cell

EngineeringGeneticsTranscriptomics TechnologyTrajectory AnalysisTranscriptional Regulation +15

Relation of a New Interpretation of Stochastic Differential Equations to Ito Process

Jianghong Shi, Tianqi Chen, Ruoshi Yuan, +2

Journal of Statistical Physics

Ito ProcessEngineeringNew InterpretationStochastic SystemStochastic Calculus +6

Mapping Transcriptomic Vector Fields of Single Cells

Xiaojie Qiu, Yan Zhang, Shayan Hosseinzadeh, +12

Single-cell Rna-seqTranscriptomics TechnologyZebrafish PigmentationEpigeneticsTrajectory Analysis +17

Lyapunov function as potential function: A dynamical equivalence

Ruoshi Yuan, Yi-An Ma, Bo Yuan, +1

Chinese Physics B

Potential landscape of high dimensional nonlinear stochastic dynamics with large noise

Ying Tang, Ruoshi Yuan, Gaowei Wang, +2

Scientific Reports

Potential LandscapeEngineeringStochastic ProcessesStochastic SystemStochastic Calculus +13

Dynamical behaviors determined by the Lyapunov function in competitive Lotka-Volterra systems

Ying Tang, Ruoshi Yuan, Yi-An Ma

Physical Review E

System DynamicDeterministic Dynamical SystemDynamic EquilibriumEngineeringDynamical Behaviors +11

Exploring a noisy van der Pol type oscillator with a stochastic approach

Ruoshi Yuan, Xinan Wang, Yi-An Ma, +2

Physical Review E

Limit CyclesDeterministic Dynamical SystemEngineeringPhysicsChaos Theory +12

Toward a translationally independent RNA-based synthetic oscillator using deactivated CRISPR-Cas

James Kuo, Ruoshi Yuan, Carlos Martínez Sánchez, +2

Nucleic Acids Research

EngineeringOscillator Period TimesMolecular BiologySynthetic CircuitSynthetic Oscillator +14

Potential Function in a Continuous Dissipative Chaotic System: Decomposition Scheme and Role of Strange Attractor

Yi-An Ma, Qijun Tan, Ruoshi Yuan, +2

International Journal of Bifurcation and Chaos

Deterministic Dynamical SystemPotential FunctionsChaotic Strange AttractorChaos TheoryStrange Attractor +7

Summing over trajectories of stochastic dynamics with multiplicative noise

Ying Tang, Ruoshi Yuan, Ping Ao

The Journal of Chemical Physics

Stochastic DynamicsEngineeringGeneral Stochastic InterpretationStochastic ProcessesStochastic Calculus +9