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tweak lif neuron demo #43

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Aug 11, 2022
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60 changes: 23 additions & 37 deletions demo/lifneuron.jl
Original file line number Diff line number Diff line change
Expand Up @@ -3,47 +3,33 @@ using Conductor, ModelingToolkit, OrdinaryDiffEq,Graphs, SparseArrays, Plots
import Unitful.ms

stim_dynamics = Conductor.LIF(-75.0, tau_membrane = 10.0, tau_synaptic = 10.0,
threshold = -55.0, resistance = 0.1, stimulus = 500)
threshold = -55.0, resistance = 0.1, stimulus = 220.01)
@named stim_neuron = CompartmentSystem(stim_dynamics)
sim_neuron = Simulation(stim_neuron, time = 300ms)

sim_neuron = Simulation(stim_neuron, time = 1000ms)
sol_neuron = solve(sim_neuron, Euler(); dt = 0.25);
plot(sol_neuron[stim_neuron.V] + sol_neuron[stim_neuron.S]*(70)) # single neuron ok

S = observed(stim_neuron)[1].lhs # hack until bug-fix in MTK
Plots.plot(sol_neuron[stim_neuron.V] + sol_neuron[S]*(70))

# Network simulation, constant spiking
n = 100 # number of neurons
w = 400.0 # synaptic weight (homogenous)
t_total = 500.0 # total time of simulation
dynamics = Conductor.LIF(-75.0, tau_membrane = 10.0, tau_synaptic = 10.0, threshold = -55.0,
resistance = 0.1, stimulus = 0)
neuron_pop = [CompartmentSystem(dynamics) for _ in 1:100]
neuron_pop[5] = stim_neuron
topology = NetworkTopology(neuron_pop, random_regular_digraph(100, 20, dir=:in);
default_weight=100.0);

# NOTE: This is configured to causes network-wide spiking but it will crash even with
# completely silent network (set `default_weight = 80.0` for subthreshold connectivity)
@named network = NeuronalNetworkSystem(topology)
sim_network = Simulation(network, time = 300ms);

# I have tried several solvers and callback triggering mechanisms. Euler is currently least
# likely to crash out.
@timed sol_network = solve(sim_network, Euler(), dt=1); # careful--this might end your day

deduplicated_grid = sol_network(0.0:1.0:300.0)

# Symbolic solution indexing with observables will also cause issues.
# It hangs or crashes for large neuron populations, so handle data manually for now
# Example, with a passthrough state, no problem
#series = [deduplicated_grid[network[x].V]' for x in 1:50]
# ...but with an observable (RGF eval for each subsystem) can cause lockup or total crash
#deduplicated_grid[network[1].S] # just one usually works, but be careful
#series = [deduplicated_grid[network[x].S] for x in 1:100] # will 100% hang or terminate process
#spike_map = sparse(hcat((sol_network[network[x].S] for x in 1:50)...))

spike_map = sparse(map(sol_network[1:2:200,:]) do x
x >= -55.0
end)

resistance = 0.1, stimulus = 0);
neuron_pop = [CompartmentSystem(dynamics) for _ in 1:n]; # should use Population instead
neuron_pop[5] = stim_neuron;
topology = NetworkTopology(neuron_pop, random_regular_digraph(n, 20, dir=:in);
default_weight=w);
@named network = NeuronalNetworkSystem(topology);
sim_network = Simulation(network, time = t_total*ms);
@time sol_network = solve(sim_network, Rosenbrock23(), tstops=0.0:1.0:t_total);
dedup_grid = sol_network(0.0:1.0:300.0) # deduplicate timestep saving from callbacks
# NOTE: Symbolic solution indexing with can cause issues, so handle data manually for now
spike_map = sparse(map(x -> x >= -55.0, dedup_grid[1:2:2*n,:]))

# To see a raster plot:
using GLMakie, Makie
spy(spike_map, markersize = 4, marker = :circle)
# plot(sol_network, vars = [network[x].S for x in 1:100])
# plot(sol_network[network[5].V])
#
Makie.spy(spike_map, markersize = 4, marker = :circle)

33 changes: 28 additions & 5 deletions src/compartment.jl
Original file line number Diff line number Diff line change
Expand Up @@ -221,17 +221,17 @@ function LIF(voltage = 0.0; tau_membrane = 10.0, tau_synaptic = 10.0, threshold
end

function CompartmentSystem(dynamics::LIF, defaults, extensions, name, parent)
(; V, τ_mem, τ_syn, V_th, R, inputs, stimuli) = dynamics
(; V, τ_mem, τ_syn, V_th, R, stimuli) = dynamics
Iₑ = stimuli[1]
@variables I(t) = 0.0 S(t) = false
@parameters V_rest = MTK.getdefault(V)
gen = GeneratedCollections(dvs = Set((V, I, S)),
gen = GeneratedCollections(dvs = Set((V, I)),
ps = Set((τ_mem, τ_syn, V_th, R, V_rest, Iₑ)),
eqs = [D(V) ~ (-(V-V_rest)/τ_mem) + (R*(I + Iₑ))/τ_mem,
S ~ V >= V_th,
eqs = [D(V) ~ (-(V-V_rest)/τ_mem) + (R*I + R*Iₑ)/τ_mem,
D(I) ~ -I/τ_syn])

(; eqs, dvs, ps, observed, systems, defs) = gen
push!(observed, S ~ V >= V_th)
merge!(defs, defaults)
return CompartmentSystem(dynamics, eqs, t, collect(dvs), collect(ps), observed, name,
systems, defs, extensions, parent)
Expand All @@ -243,15 +243,38 @@ function Base.convert(::Type{ODESystem}, compartment::CompartmentSystem{LIF}; wi
ps = get_ps(compartment)
eqs = get_eqs(compartment)
defs = get_defaults(compartment)
obs = get_observed(compartment)
syss = convert.(ODESystem, get_systems(compartment))
V = @nonamespace compartment.V
S = @nonamespace compartment.S
V_th = @nonamespace compartment.V_th
V_rest = @nonamespace compartment.V_rest

cb = with_cb ? MTK.SymbolicDiscreteCallback(V >= V_th, [V~V_rest]) : MTK.SymbolicDiscreteCallback[]

return ODESystem(eqs, t, dvs, ps; systems = syss, defaults = defs,
name = nameof(compartment), discrete_events = cb)
name = nameof(compartment), discrete_events = cb,
observed = obs)
end

function Base.convert(::Type{SDESystem}, compartment::CompartmentSystem{LIF}; with_cb = false)

dvs = get_states(compartment)
ps = get_ps(compartment)
eqs = get_eqs(compartment)
defs = get_defaults(compartment)
obs = get_observed(compartment)
syss = convert.(ODESystem, get_systems(compartment))
V = @nonamespace compartment.V
S = @nonamespace compartment.S
V_th = @nonamespace compartment.V_th
V_rest = @nonamespace compartment.V_rest

cb = with_cb ? MTK.SymbolicDiscreteCallback(V >= V_th, [V~V_rest]) : MTK.SymbolicDiscreteCallback[]

noise_eqs = [0.0, 1.0]
return SDESystem(eqs, noise_eqs, t, dvs, ps; systems = syss, defaults = defs,
name = nameof(compartment), discrete_events = cb, observed = obs)
end

function CompartmentSystem(dynamics::HodgkinHuxley, defaults, extensions, name, parent)
Expand Down
6 changes: 3 additions & 3 deletions src/simulation.jl
Original file line number Diff line number Diff line change
Expand Up @@ -19,7 +19,7 @@ function Simulation(neuron::AbstractCompartmentSystem; time::Time, return_system
return simplified
else
@info repr("text/plain", simplified)
return ODEProblem(simplified, [], (0., t_val), []; jac, sparse)
return ODEProblem(simplified, [], (0., t_val), []) # ignore kwargs until Symbolics bugfix
end
end

Expand All @@ -31,7 +31,7 @@ function Simulation(neuron::CompartmentSystem{LIF}; time::Time, return_system =
return simplified
else
@info repr("text/plain", simplified)
return ODEProblem(simplified, [], (0., t_val), []; jac, sparse)
return ODEProblem(simplified, [], (0., t_val), []) # ignore kwargs until Symbolics bugfix
end
end

Expand All @@ -42,7 +42,7 @@ function Simulation(network::NeuronalNetworkSystem; time::Time, return_system =
return simplified
else
@info repr("text/plain", simplified)
return ODEProblem(simplified, [], (0., t_val), []; jac, sparse)
return ODEProblem(simplified, [], (0., t_val), []) # ignore kwargs until Symbolics bugfix
end
end

Expand Down