Functions for manipulating ODEs

@ODEsystem

Macro for creating an ODE from a list of equations. Also injects all variables into the global scope. This macro accepts a sybolically written ODE system and generates an ODE structure instance.

Example:

ode = @ODEsystem(
    x1'(t) = -k1 * x1(t),
    x2'(t) = -k2 * x2(t)
)
[ Info: Summary of the model:
[ Info: State variables: x1, x2
[ Info: Parameters: k1, k2
x1'(t) = -x1(t)*k1
x2'(t) = -x2(t)*k2

ODE{P}

The main structure that represents input ODE system. Stores information about states, initial conditions, and the equations. This structure is constructed via the @ODEmodel macro.

equations(ode::ODE)

Returns the array of equations of the given ODE system.

states(ode::ODE)

Returns the array of states of the given ODE system.

parameters(ode::ODE)

Returns the array of parameters of the given ODE system.

initial_conditions(ode::ODE)

Returns the array of initial conditions of the given ODE system.

parameter_values(ode::ODE)

Returns the array of parameter values of the given ODE system.

vars(ode::ODE)

Returns the array of polynomial variables of the given ODE system.

to_state(ode::ODE, p)

Returns a new ODE in which the parameter p is a state with zero dynamics.

to_parameter(ode::ODE, x)

Returns a new ODE in which the state x with zero dynamics is a parameter.

ODEtoMTK(ode::ODE)

Converts an ODE object to an ModelingToolkit.ODESystem object and (!) inserts the MTK variables into the global scope.

Input:

• ode - ODE object

Output:

• ModelingToolkit.ODESystem object

MTKtoODE(de::ModelingToolkit.ODESystem)

Converts an ModelingToolkit.ODESystem object to an ODE object.

Input:

• de - ModelingToolkit.ODESystem, a system to be converted

Output:

• ODE object suitable for finding reductions