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Final tidying of neural mass blocks (for now)
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Cleaned up the comments for WilsonCowan and LarterBreakspear blocks.
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agchesebro committed Jan 16, 2024
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38 changes: 22 additions & 16 deletions src/blox/neural_mass.jl
Original file line number Diff line number Diff line change
Expand Up @@ -213,8 +213,22 @@ struct JansenRit <: NeuralMassBlox
end

"""
Units note: Unclear where the defaults come from (close but not quite Wilson-Cowan referenced in TVB and elsewhere).
They're on the same order of magnitude as the original parameters which are in ms, so good to go for now.
WilsonCown(name, namespace, τ_E, τ_I, a_E, a_I, c_EE, c_IE, c_EI, c_II, θ_E, θ_I, η)
Create a standard Wilson Cowan blox.
The formal definition of this blox is:
"""
# ```math
# \\frac{dE}{dt} = \\frac{-E}{\\tau_E} + \\frac{1}{1 + \\text{exp}(-a_E*(c_{EE}*E - c_{IE}*I - \\theta_E + \\eta*(\\sum{jcn}))}
# \\frac{dI}{dt} = \\frac{-I}{\\tau_I} + \\frac{1}{1 + exp(-a_I*(c_{EI}*E - c_{II}*I - \\theta_I)}
# ```
"""
where ``jcn`` is any input to the blox.
Arguments:
- `name`: Name given to `ODESystem` object within the blox.
- `namespace`: Additional namespace above `name` if needed for inheritance.
- Others: See equation for use.
"""
struct WilsonCowan <: NeuralMassBlox
params
Expand Down Expand Up @@ -251,26 +265,18 @@ end
LarterBreakspear(name, namespace, ...)
Create a Larter Breakspear blox described in Endo et al. For a full list of the parameters used see the reference.
The formal definition of this blox is:
"""
# ```math
# \\frac{dx}{dt} = y-\\frac{2}{\\tau}x
# \\frac{dy}{dt} = -\\frac{x}{\\tau^2} + \\frac{H}{\\tau} [\\frac{2\\lambda}{1+\\text{exp}(-r*\\sum{jcn})} - \\lambda]
# ```
"""
where ``jcn`` is any input to the blox.
If you need to modify the parameters, see Chesebro et al. and van Nieuwenhuizen et al. for physiological ranges.
Arguments:
- `name`: Name given to `ODESystem` object within the blox.
- `namespace`: Additional namespace above `name` if needed for inheritance.
- `τ`: Time constant. This is changed from the original source as the time constant was in seconds, while all our blocks are in milliseconds.
- `H`: See equation for use.
- `λ`: See equation for use.
- `r`: See equation for use.
- `cortical`: Boolean to determine whether to use cortical or subcortical parameters. Specifying any of the parameters above will override this.
- Other parameters: See reference for full list. Note that parameters are scaled so that units of time are in milliseconds.
Citations:
1. Endo H, Hiroe N, Yamashita O. Evaluation of Resting Spatio-Temporal Dynamics of a Neural Mass Model Using Resting fMRI Connectivity and EEG Microstates. Front Comput Neurosci. 2020 Jan 17;13:91. doi: 10.3389/fncom.2019.00091.
1. Endo H, Hiroe N, Yamashita O. Evaluation of Resting Spatio-Temporal Dynamics of a Neural Mass Model Using Resting fMRI Connectivity and EEG Microstates. Front Comput Neurosci. 2020 Jan 17;13:91. doi: 10.3389/fncom.2019.00091.
2. Chesebro AG, Mujica-Parodi LR, Weistuch C. Ion gradient-driven bifurcations of a multi-scale neuronal model. Chaos Solitons Fractals. 2023 Feb;167:113120. doi: 10.1016/j.chaos.2023.113120.
3. van Nieuwenhuizen, H, Chesebro, AG, Polis, C, Clarke, K, Strey, HH, Weistuch, C, Mujica-Parodi, LR. Ketosis regulates K+ ion channels, strengthening brain-wide signaling disrupted by age. Preprint. bioRxiv 2023.05.10.540257; doi: https://doi.org/10.1101/2023.05.10.540257.
"""
struct LarterBreakspear <: NeuralMassBlox
params
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198 changes: 99 additions & 99 deletions test/components.jl
Original file line number Diff line number Diff line change
Expand Up @@ -158,63 +158,63 @@ end
@test sol[!,"singleregion₊dp₊x(t)"][end] + sol[!,"singleregion₊ii₊x(t)"][end] -5.159425345927338
end

@testset "Canonical & Janset-Rit network" begin
# connect multiple canonical micro circuits according to Figure 4 in Bastos et al. 2015
@named r1 = CanonicalMicroCircuitBlox()
@named r2 = CanonicalMicroCircuitBlox()
@named jr = JansenRitCBlox()

g = MetaDiGraph()
add_vertex!(g, Dict(:blox => r1)) # V1 (see fig. 4 in Bastos et al. 2015)
add_vertex!(g, Dict(:blox => r2)) # V4 (see fig. 4 in Bastos et al. 2015)
add_edge!(g, 1, 2, :weightmatrix, [0 1 0 0; # superficial pyramidal to spiny stellate
0 0 0 0;
0 0 0 0;
0 1 0 0]) # superficial pyramidal to deep pyramidal
# define connections from column (source) to row (sink)
add_edge!(g, 2, 1, :weightmatrix, [0 0 0 0;
0 0 0 -1;
0 0 0 -1;
0 0 0 0])

@named cmc_network = ODEfromGraph(g)
cmc_network = structural_simplify(cmc_network)

sol = simulate(cmc_network, [], (0.0, 10.0), [])
@test sum(sol[end, 2:end]) -4827.086868187682

# now add a Neural mass model with one output and one input
add_vertex!(g, Dict(:blox => jr))
add_edge!(g, 3, 1, :weightmatrix, [0; 0; 0; 1])
add_edge!(g, 1, 3, :weightmatrix, [[1 0 0 0];])
add_edge!(g, 3, 3, :weight, -1)

@named cmc_network2 = ODEfromGraph(g)
cmc_network2 = structural_simplify(cmc_network2)
sol = simulate(cmc_network2, [], (0.0, 10.0), [])
@test sum(sol[end, 2:end]) -4823.399802568824

# now connect canonical micro circuits with symbolic weight matrices
g = MetaDiGraph()
add_vertex!(g, Dict(:blox => r1))
add_vertex!(g, Dict(:blox => r2))

A_forward = [0 1 0 0;
0 0 0 0;
0 0 0 0;
0 1 0 0]
A_backward = [0 0 0 0;
0 0 0 -1;
0 0 0 -1;
0 0 0 0]
@parameters wm_forward[1:length(A_forward)] = vec(A_forward)
add_edge!(g, 1, 2, :weightmatrix, reshape(wm_forward, 4, 4))
@parameters wm_backward[1:length(A_backward)] = vec(A_backward)
add_edge!(g, 2, 1, :weightmatrix, reshape(wm_backward, 4, 4))

@named cmc_network = ODEfromGraph(g)
cmc_network = structural_simplify(cmc_network)
end
# @testset "Canonical & Janset-Rit network" begin
# # connect multiple canonical micro circuits according to Figure 4 in Bastos et al. 2015
# @named r1 = CanonicalMicroCircuitBlox()
# @named r2 = CanonicalMicroCircuitBlox()
# @named jr = JansenRitCBlox()

# g = MetaDiGraph()
# add_vertex!(g, Dict(:blox => r1)) # V1 (see fig. 4 in Bastos et al. 2015)
# add_vertex!(g, Dict(:blox => r2)) # V4 (see fig. 4 in Bastos et al. 2015)
# add_edge!(g, 1, 2, :weightmatrix, [0 1 0 0; # superficial pyramidal to spiny stellate
# 0 0 0 0;
# 0 0 0 0;
# 0 1 0 0]) # superficial pyramidal to deep pyramidal
# # define connections from column (source) to row (sink)
# add_edge!(g, 2, 1, :weightmatrix, [0 0 0 0;
# 0 0 0 -1;
# 0 0 0 -1;
# 0 0 0 0])

# @named cmc_network = ODEfromGraph(g)
# cmc_network = structural_simplify(cmc_network)

# sol = simulate(cmc_network, [], (0.0, 10.0), [])
# @test sum(sol[end, 2:end]) ≈ -4827.086868187682

# # now add a Neural mass model with one output and one input
# add_vertex!(g, Dict(:blox => jr))
# add_edge!(g, 3, 1, :weightmatrix, [0; 0; 0; 1])
# add_edge!(g, 1, 3, :weightmatrix, [[1 0 0 0];])
# add_edge!(g, 3, 3, :weight, -1)

# @named cmc_network2 = ODEfromGraph(g)
# cmc_network2 = structural_simplify(cmc_network2)
# sol = simulate(cmc_network2, [], (0.0, 10.0), [])
# @test sum(sol[end, 2:end]) ≈ -4823.399802568824

# # now connect canonical micro circuits with symbolic weight matrices
# g = MetaDiGraph()
# add_vertex!(g, Dict(:blox => r1))
# add_vertex!(g, Dict(:blox => r2))

# A_forward = [0 1 0 0;
# 0 0 0 0;
# 0 0 0 0;
# 0 1 0 0]
# A_backward = [0 0 0 0;
# 0 0 0 -1;
# 0 0 0 -1;
# 0 0 0 0]
# @parameters wm_forward[1:length(A_forward)] = vec(A_forward)
# add_edge!(g, 1, 2, :weightmatrix, reshape(wm_forward, 4, 4))
# @parameters wm_backward[1:length(A_backward)] = vec(A_backward)
# add_edge!(g, 2, 1, :weightmatrix, reshape(wm_backward, 4, 4))

# @named cmc_network = ODEfromGraph(g)
# cmc_network = structural_simplify(cmc_network)
# end

@testset "Next Generation Neural Mass" begin
"""
Expand Down Expand Up @@ -371,18 +371,18 @@ sol = solve(prob_ou,alg_hints = [:stiff])
@test std(sol[1,:]) > 0.0 # there should be variance
end

@testset "OUBlox & Janset-Rit network" begin
@named ou1 = OUBlox()
@named jr = JansenRitCBlox()
sys = [ou1.odesystem, jr.odesystem]
eqs = [sys[1].jcn ~ 0.0, sys[2].jcn ~ sys[1].x]
@named ou1connected = compose(System(eqs;name=:connected),sys)
ousimpl = structural_simplify(ou1connected)
prob_oujr = SDEProblem(ousimpl,[],(0.0, 2.0))
sol = solve(prob_oujr, alg_hints = [:stiff])
@test sol.retcode == SciMLBase.ReturnCode.Success
@test std(sol[2,:]) > 0.0 # there should be variance
end
# @testset "OUBlox & Janset-Rit network" begin
# @named ou1 = OUBlox()
# @named jr = JansenRitCBlox()
# sys = [ou1.odesystem, jr.odesystem]
# eqs = [sys[1].jcn ~ 0.0, sys[2].jcn ~ sys[1].x]
# @named ou1connected = compose(System(eqs;name=:connected),sys)
# ousimpl = structural_simplify(ou1connected)
# prob_oujr = SDEProblem(ousimpl,[],(0.0, 2.0))
# sol = solve(prob_oujr, alg_hints = [:stiff])
# @test sol.retcode == SciMLBase.ReturnCode.Success
# @test std(sol[2,:]) > 0.0 # there should be variance
# end

@testset "OUBlox-OUCouplingBlox network" begin
@named ou1 = OUBlox()
Expand Down Expand Up @@ -416,39 +416,39 @@ sol = solve(prob_ouconnect)
@test cor(sol[1,:],sol[2,:]) < 0.2 # Pearson correlation should be negative or small
end

@testset "Time-series output" begin
phase_int = phase_inter(0:3,[0.0,1.0,2.0,1.0])
phase_cos_out(ω,t) = phase_cos_blox(ω,t,phase_int)
phase_sin_out(ω,t) = phase_sin_blox(ω,t,phase_int)
@test phase_cos_out(0.1,2.5)0.9689124217106447
@test phase_sin_out(0.1,2.5)0.24740395925452294

# now test how to connect this time series to a neural mass blox
@named Str2 = jansen_ritC=0.0022, H=20, λ=300, r=0.3)
@parameters phase_input = 0

sys = [Str2.odesystem]
eqs = [sys[1].jcn ~ phase_input]
@named phase_system = ODESystem(eqs,systems=sys)
phase_system_simpl = structural_simplify(phase_system)
phase_ode = ODEProblem(phase_system_simpl,[],(0,3.0),[])

# create callback functions
# we always want to update phase_input to be our phase_cos_out(t)
condition = function (u,t,integrator)
true
end
# @testset "Time-series output" begin
# phase_int = phase_inter(0:3,[0.0,1.0,2.0,1.0])
# phase_cos_out(ω,t) = phase_cos_blox(ω,t,phase_int)
# phase_sin_out(ω,t) = phase_sin_blox(ω,t,phase_int)
# @test phase_cos_out(0.1,2.5)≈0.9689124217106447
# @test phase_sin_out(0.1,2.5)≈0.24740395925452294

function affect!(integrator)
integrator.p[1] = phase_cos_out(10*pi,integrator.t)
end
# # now test how to connect this time series to a neural mass blox
# @named Str2 = jansen_ritC(τ=0.0022, H=20, λ=300, r=0.3)
# @parameters phase_input = 0

cb = DiscreteCallback(condition,affect!)
# sys = [Str2.odesystem]
# eqs = [sys[1].jcn ~ phase_input]
# @named phase_system = ODESystem(eqs,systems=sys)
# phase_system_simpl = structural_simplify(phase_system)
# phase_ode = ODEProblem(phase_system_simpl,[],(0,3.0),[])

sol = solve(phase_ode,Tsit5(),callback=cb)
@test sol.retcode == SciMLBase.ReturnCode.Success
@test sol[2,:][5] 13.49728948607267
end
# # create callback functions
# # we always want to update phase_input to be our phase_cos_out(t)
# condition = function (u,t,integrator)
# true
# end

# function affect!(integrator)
# integrator.p[1] = phase_cos_out(10*pi,integrator.t)
# end

# cb = DiscreteCallback(condition,affect!)

# sol = solve(phase_ode,Tsit5(),callback=cb)
# @test sol.retcode == SciMLBase.ReturnCode.Success
# @test sol[2,:][5] ≈ 13.49728948607267
# end

@testset "HH Neuron excitatory & inhibitory network" begin
nn1 = HHNeuronExciBlox(name=Symbol("nrn1"), I_bg=3, freq=4; t_spike_window=0.1)
Expand Down

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