Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Compartmental Modeling
Functions for building, visualizing, and simulating general compartmental models, as well as functions for specialized area such as epidemiology modeling, chemical kinetics and systems biology modeling, pharmacokinetics modeling, and ecology and population modeling.
— the basic building block of compartmental models
General Compartmental Modeling
— compartment for sources and sinks
— construct a graph of a compartmental model
— generate differential equations and stoichiometric matrix
— derive transitions from differential equations
— decompose model into independent components
Stochastic Simulation
— define function to compute propensities form current state and time
— generate formatted stoichiometry table
— stochastic simulation with Gillespie algorithm
Epidemiology Modeling
— add recruitment (birth) and all-cause death transitions to a model
— add vital demographics, stratification, and/or age stratification to model and generate differential equations, stoichiometric matrix, etc.
— compute incidence expression for given compartments
— compute next generation matrix
— prebuilt models with model data
Systems Biology Modeling
— generate transitions for enzyme catalyzed reaction
— generate differential equations and stoichiometric matrix
— gives the kinetic law for an enzyme-catalyzed reaction with Michaelis-Menten kinetics
— gives the kinetic law for a reaction catalyzed by an enzyme with multiple catalytic sites with Hill kinetics
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