SVGBiological Network Motifs
Canonical network motifs: negative autoregulation, positive autoregulation, and feed-forward loops (FFLs).
SVGScale-Free Network Architecture & Hub Nodes
A scale-free biological network showing power-law degree distribution with prominent hub nodes.
SVGMichaelis-Menten & Hill Enzyme Saturation Kinetics
Steady-state hyperbolic enzyme velocity curve v = (Vmax · [S]) / (Km + [S]).
SVGGardner Synthetic Genetic Toggle Switch
Bistable mutual repression network architecture constructed by Gardner, Cantor, and Collins (2000).
SVGElowitz Synthetic Repressilator Circuit
Three-gene cyclic transcriptional repression ring designed by Elowitz and Leibler (2000).
SVGConstraint-Based Flux Balance Analysis (FBA)
Stoichiometric matrix constraints S · v = 0 and linear programming optimization of biomass flux.
SVGGillespie Stochastic Simulation Algorithm (SSA)
Flowchart of the Gillespie direct Monte Carlo algorithm calculating reaction propensities and time steps.
SVGBifurcation Diagrams, Hysteresis & Bistability
Dynamical state space bifurcation curves showing stable and unstable steady-state branches.
SVGSingle-Cell RNA-Seq & Trajectory Inference Workflow
Droplet-based scRNA-seq cell encapsulation, UMI barcoding, dimensionality reduction, and RNA velocity.
SVGTuring Reaction-Diffusion Morphogenesis Patterns
Spatial stripe and spot patterns generated by a slowly diffusing activator and rapidly diffusing inhibitor.