7. Examples

This section contains worked examples for different model reduction tasks. Examples are organized by scientific domain.

7.1. Michaelis-Menten Model Reduction

This example demonstrates how to reduce a simple Michaelis-Menten model using QSSA.

• Enzymatic System: Michaelis Menten Model

7.2. Viral Spread

This ecological example defines and solves a viral spread model using SIR dynamics.

• Viral Spread

7.3. Gene Expression

This example shows how to analyze and reduce gene expression models.

• Gene Expression

7.4. BioCRNPyler Integration

This example demonstrates how to use AutoReduce with BioCRNPyler for synthetic biology models.

• BioCRNPyler Interface

7.5. Parameter Sensitivity

This canonical example computes local parameter sensitivities for a symbolic ODE model.

• Parameter Sensitivity

7.6. QSS Control Input

This canonical example derives a one-state quasi-steady-state reduction for a singularly perturbed control-input model.

• QSS Control Input

7.7. Derivation of Hill Functions

This biological example derives a Hill-function expression from fast dimer and promoter-binding reactions.

• Derivation of Hill Functions

Each example notebook contains detailed explanations and can be downloaded from the GitHub repository.