Define experiments using @experiment

Say you have a model of a brain circuit, and you would like to see its outputs with various sets of parameters. The @experiment macro provides an easy interface for iterating on a problem by changing its parameters, initial conditions, and timespan.

First let's create a circuit and then a simulation.

@graph g begin
    @nodes begin
        Brainstem = NGNMM_theta()
        Cortex = Cortex(
            N_wta=20, 
            N_exci=5, 
            density=0.05, 
            weight=1.0, 
            I_bg_ar=4, 
            G_syn_inhib=4.0, 
            τ_inhib=70, 
            G_syn_ff_inhib=1.5
        )
    end
    @connections begin
        Brainstem => Cortex, [weight = 20]
    end
end

tspan = (0., 500.)
prob = ODEProblem(g, [], tspan)

Modifying parameters

Let's say we apply a drug whose known effect is to scale the timescale of the GABA synapses. Let's also say that this effect is limited to the cortex. Then we can write:

prob_drugged = @experiment prob begin
    @setup begin
        scale = 2.0
    end

    GABA_A_Synapse in Cortex, τ₂ -> τ₂ * scale
end

Inside the experiment macro, the @setup block is optionally used to define variables.

The next line gives a rule for changing the parameters of the problem. This has two parts:

1. Blox selection: GABA_A_Synapse in Cortex is used to select all the GABA_A_Synapse inside the graph for Cortex (reference the API to see the full list of recognized selections)
2. Parameter modification: τ₂ -> τ₂ * scale sets the τ₂ parameter of all of these synapses to its original value times scale. This should be read as a function.

Any number of these parameter modification lines may be included inside the macro.

Note also that prob_drugged is a copy of the original prob; if we wanted to simulate the original prob, we could.

Modifying initial conditions and timespan

Let's see how to change initial conditions and timespans for the problem. Let's say we want to dose the drug only after an initial warmup period (that is, simulate the undrugged problem for some time t, then apply the drug effect). We also don't want the drugged simulation to run quite as long.

sol_undrugged = sol(prob, Vern7())

prob_drugged = @experiment prob begin
    @initial_conditions sol_undrugged.u[end]
    @tspan (0., 300.)
    @setup begin
        scale = 2.0
    end

    GABA_A_Synapse in Cortex, τ₂ -> τ₂ * scale
end