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The historical Izhikevich implementation remains the canonical default. The
membrane-dynamics model is explicit and provenance-bearing, so alternative
models can be compared without silently changing the meaning of an experiment.
Secondary mechanisms can be disabled for an isolated Stage-0 reference cell.
"""
from __future__ import annotations
import math
from dataclasses import dataclass, field, fields, replace
from enum import Enum, auto
from typing import Any, Callable, cast
from .neuron_models import (
NeuronModel,
apply_spike_reset,
available_neuron_models,
coerce_neuron_model,
get_model_descriptor,
integrate_membrane,
spike_threshold,
)
class NeuronType(Enum):
"""Functional neuron labels with established Izhikevich parameter sets."""
REGULAR_SPIKING = auto()
FAST_SPIKING = auto()
INTRINSICALLY_BURSTING = auto()
CHATTERING = auto()
LOW_THRESHOLD_SPIKING = auto()
RESONATOR = auto()
SENSORY = auto()
MOTOR = auto()
@property
def default_params(self) -> tuple[float, float, float, float]:
params = {
NeuronType.REGULAR_SPIKING: (0.02, 0.2, -65.0, 8.0),
NeuronType.FAST_SPIKING: (0.1, 0.2, -65.0, 2.0),
NeuronType.INTRINSICALLY_BURSTING: (0.02, 0.2, -55.0, 4.0),
NeuronType.CHATTERING: (0.02, 0.2, -50.0, 2.0),
NeuronType.LOW_THRESHOLD_SPIKING: (0.02, 0.25, -65.0, 2.0),
NeuronType.RESONATOR: (0.1, 0.26, -65.0, 2.0),
NeuronType.SENSORY: (0.02, 0.2, -65.0, 8.0),
NeuronType.MOTOR: (0.02, 0.2, -65.0, 8.0),
}
return params.get(self, (0.02, 0.2, -65.0, 8.0))
@dataclass(frozen=True, slots=True)
class NeuronConfig:
"""Configuration for membrane dynamics and optional secondary mechanisms."""
model: NeuronModel | str = NeuronModel.IZHIKEVICH
dt_ms: float = 1.0
a: float = 0.02
b: float = 0.2
c: float = -65.0
d: float = 8.0
initial_v: float = -65.0
initial_u: float = -13.0
izhikevich_threshold: float = 30.0
lif_resting_potential: float = -65.0
lif_tau_m_ms: float = 20.0
lif_resistance: float = 1.0
lif_threshold: float = -50.0
lif_reset: float = -65.0
refractory_ticks: int = 0
threshold_adaptation_rate: float = 0.01
threshold_adaptation_decay: float = 0.999
spike_cost: float = 0.001
resting_energy: float = 1.0
energy_recovery_rate: float = 0.0001
trace_decay: float = 0.95
trace_increment: float = 1.0
target_rate_hz: float = 10.0
firing_rate_tau_ms: float = 1000.0
homeostasis_learning_rate: float = 0.001
enable_threshold_adaptation: bool = True
enable_energy_dynamics: bool = True
enable_traces: bool = True
enable_homeostasis: bool = True
def __post_init__(self) -> None:
object.__setattr__(self, "model", coerce_neuron_model(self.model))
if self.dt_ms <= 0.0:
raise ValueError("dt_ms must be > 0")
if self.firing_rate_tau_ms <= 0.0:
raise ValueError("firing_rate_tau_ms must be > 0")
if self.lif_tau_m_ms <= 0.0:
raise ValueError("lif_tau_m_ms must be > 0")
if self.refractory_ticks < 0:
raise ValueError("refractory_ticks must be >= 0")
@classmethod
def isolated_reference(
cls,
model: NeuronModel | str = NeuronModel.IZHIKEVICH,
**overrides: Any,
) -> "NeuronConfig":
values: dict[str, Any] = {
"model": model,
"enable_threshold_adaptation": False,
"enable_energy_dynamics": False,
"enable_traces": False,
"enable_homeostasis": False,
}
values.update(overrides)
return cls(**values)
def to_dict(self) -> dict[str, Any]:
payload = {item.name: getattr(self, item.name) for item in fields(self)}
payload["model"] = coerce_neuron_model(self.model).value
return payload
@classmethod
def from_dict(cls, data: dict[str, Any]) -> "NeuronConfig":
names = {item.name for item in fields(cls)}
return cls(**{key: value for key, value in data.items() if key in names})
@dataclass(slots=True)
class Neuron:
"""One deterministic spiking neuron with an explicit dynamics model."""
neuron_id: int
a: float = 0.02
b: float = 0.2
c: float = -65.0
d: float = 8.0
v: float = -65.0
u: float = -13.0
energy: float = 1.0
spike_cost: float = 0.001
spike_counter: int = 0
last_spike_tick: int = -1
threshold_adaptation: float = 0.0
last_external_current: float = 0.0
last_synaptic_current: float = 0.0
neuron_type: NeuronType = NeuronType.REGULAR_SPIKING
model: NeuronModel | str = NeuronModel.IZHIKEVICH
pre_trace: float = 0.0
post_trace: float = 0.0
firing_rate_estimate: float = 0.0
model_switch_count: int = 0
last_model_switch_tick: int = -1
_config: NeuronConfig | None = field(default=None, repr=False, init=False)
_enabled: bool = field(default=True, repr=False, init=False)
_spike_count_window: int = 0
_last_update_tick: int = 0
_refractory_until_tick: int = -1
_has_stepped: bool = False
_dirty_callback: Callable[[], None] | None = field(
default=None, repr=False, init=False
)
def __post_init__(self) -> None:
self.model = coerce_neuron_model(self.model)
if self._config is None:
self._config = NeuronConfig(model=self.model)
if (
self.model is NeuronModel.IZHIKEVICH
and self.neuron_type is not NeuronType.REGULAR_SPIKING
):
params = self.neuron_type.default_params
if self.a == 0.02 and self.b == 0.2 and self.c == -65.0 and self.d == 8.0:
self.a, self.b, self.c, self.d = params
def set_dirty_callback(self, callback: Callable[[], None] | None) -> None:
self._dirty_callback = callback
def mark_dirty(self) -> None:
if self._dirty_callback is not None:
self._dirty_callback()
@property
def is_inhibitory(self) -> bool:
return self.neuron_type is NeuronType.FAST_SPIKING
@property
def config(self) -> NeuronConfig:
if self._config is None:
self._config = NeuronConfig(model=self.model)
return self._config
def set_config(self, config: NeuronConfig) -> None:
target = coerce_neuron_model(config.model)
if target is not self.model:
if self._has_stepped:
raise ValueError(
"Cannot change neuron model through set_config after execution; "
"use switch_model(..., tick=...) so provenance is recorded"
)
self.model = target
self._config = config
@property
def model_provenance(self) -> dict[str, object]:
descriptor = get_model_descriptor(self.model).to_dict()
descriptor["parameters"] = self.config.to_dict()
descriptor["switch_count"] = self.model_switch_count
descriptor["last_switch_tick"] = self.last_model_switch_tick
return descriptor
@property
def current_threshold(self) -> float:
base = spike_threshold(
self.model,
izhikevich_threshold=self.config.izhikevich_threshold,
lif_threshold=self.config.lif_threshold,
)
return (
base + self.threshold_adaptation
if self.config.enable_threshold_adaptation
else base
)
def switch_model(
self,
model: NeuronModel | str,
*,
tick: int,
config: NeuronConfig | None = None,
reset_state: bool = True,
) -> None:
target = coerce_neuron_model(model)
if tick < self._last_update_tick:
raise ValueError(
"model switch tick cannot precede the current neuron state"
)
next_config = config or replace(self.config, model=target)
if coerce_neuron_model(next_config.model) is not target:
raise ValueError("switch_model config.model must match target model")
if target is self.model and next_config == self.config:
return
self.model = target
self._config = next_config
self.model_switch_count += 1
self.last_model_switch_tick = tick
self._refractory_until_tick = -1
if reset_state:
self.v = (
next_config.lif_resting_potential
if target is NeuronModel.LEAKY_INTEGRATE_AND_FIRE
else next_config.initial_v
)
self.u = next_config.initial_u
self.threshold_adaptation = 0.0
self.firing_rate_estimate = 0.0
self._spike_count_window = 0
self.reset_traces()
self.mark_dirty()
def _record_currents(
self,
input_current: float,
external_current: float | None,
synaptic_current: float | None,
) -> None:
if external_current is not None or synaptic_current is not None:
ext = 0.0 if external_current is None else float(external_current)
syn = 0.0 if synaptic_current is None else float(synaptic_current)
if not math.isclose(ext + syn, input_current, rel_tol=1e-12, abs_tol=1e-12):
raise ValueError(
"external_current + synaptic_current must equal input_current"
)
self.last_external_current = ext
self.last_synaptic_current = syn
return
observed_total = self.last_external_current + self.last_synaptic_current
if not math.isclose(
observed_total, input_current, rel_tol=1e-12, abs_tol=1e-12
):
self.last_external_current = float(input_current)
self.last_synaptic_current = 0.0
def _reset_potential(self) -> float:
return (
self.config.lif_reset
if self.model is NeuronModel.LEAKY_INTEGRATE_AND_FIRE
else self.c
)
def _finish_tick(self, tick: int) -> None:
if self.config.enable_traces:
self._decay_traces()
if self.config.enable_energy_dynamics:
self.energy = min(1.0, self.energy + self.config.energy_recovery_rate)
if self.config.enable_threshold_adaptation:
self.threshold_adaptation *= self.config.threshold_adaptation_decay
if self.config.enable_homeostasis:
self._apply_homeostasis()
self._last_update_tick = tick
self._has_stepped = True
self.mark_dirty()
def step(
self,
input_current: float,
tick: int,
*,
external_current: float | None = None,
synaptic_current: float | None = None,
) -> bool:
if not self._enabled:
return False
self._record_currents(input_current, external_current, synaptic_current)
if tick <= self._refractory_until_tick:
self.v = self._reset_potential()
self._update_firing_rate(spiked=False, tick=tick)
self._finish_tick(tick)
return False
self.v, self.u = integrate_membrane(
self.model,
v=self.v,
u=self.u,
input_current=input_current,
dt_ms=self.config.dt_ms,
a=self.a,
b=self.b,
lif_resting_potential=self.config.lif_resting_potential,
lif_tau_m_ms=self.config.lif_tau_m_ms,
lif_resistance=self.config.lif_resistance,
)
spiked = self.v >= self.current_threshold
if spiked:
self.v, self.u = apply_spike_reset(
self.model,
v=self.v,
u=self.u,
c=self.c,
d=self.d,
lif_reset=self.config.lif_reset,
)
self.spike_counter += 1
self.last_spike_tick = tick
if self.config.enable_energy_dynamics:
self.energy = max(0.0, self.energy - self.spike_cost)
if self.config.enable_threshold_adaptation:
self.threshold_adaptation += self.config.threshold_adaptation_rate
if self.config.enable_traces:
self.pre_trace += self.config.trace_increment
self.post_trace += self.config.trace_increment
if self.config.refractory_ticks > 0:
self._refractory_until_tick = tick + self.config.refractory_ticks
self._update_firing_rate(spiked=spiked, tick=tick)
self._finish_tick(tick)
return spiked
def _decay_traces(self) -> None:
self.pre_trace *= self.config.trace_decay
self.post_trace *= self.config.trace_decay
def get_pre_trace(self) -> float:
return self.pre_trace
def get_post_trace(self) -> float:
return self.post_trace
def reset_traces(self) -> None:
self.pre_trace = 0.0
self.post_trace = 0.0
def _update_firing_rate(self, *, spiked: bool, tick: int) -> None:
"""Update a low-pass firing-rate estimate in Hz once per simulated tick."""
elapsed_ticks = (
max(1, tick - self._last_update_tick) if self._has_stepped else 1
)
elapsed_ms = elapsed_ticks * self.config.dt_ms
alpha = 1.0 - math.exp(-elapsed_ms / self.config.firing_rate_tau_ms)
instantaneous_rate_hz = 1000.0 / elapsed_ms if spiked else 0.0
self.firing_rate_estimate = (
1.0 - alpha
) * self.firing_rate_estimate + alpha * instantaneous_rate_hz
window_ticks = max(1, int(round(1000.0 / self.config.dt_ms)))
if tick % window_ticks == 0:
self._spike_count_window = 0
if spiked:
self._spike_count_window += 1
def _apply_homeostasis(self) -> None:
error = self.firing_rate_estimate - self.config.target_rate_hz
self.threshold_adaptation += self.config.homeostasis_learning_rate * error
self.threshold_adaptation = max(-10.0, min(10.0, self.threshold_adaptation))
def drain_energy(self, amount: float) -> float:
drained = min(amount, self.energy)
self.energy -= drained
return drained
def restore_energy(self, amount: float) -> float:
restored = min(amount, 1.0 - self.energy)
self.energy += restored
return restored
def enable(self) -> None:
self._enabled = True
def disable(self) -> None:
self._enabled = False
@property
def is_enabled(self) -> bool:
return self._enabled
def reset_state(self, reset_v: bool = True) -> None:
if reset_v:
self.v = (
self.config.lif_resting_potential
if self.model is NeuronModel.LEAKY_INTEGRATE_AND_FIRE
else self.config.initial_v
)
self.u = self.config.initial_u
self.threshold_adaptation = 0.0
self.energy = self.config.resting_energy
self.firing_rate_estimate = 0.0
self._spike_count_window = 0
self._last_update_tick = 0
self._refractory_until_tick = -1
self._has_stepped = False
self.reset_traces()
self.mark_dirty()
def reset_full(self) -> None:
self.reset_state(reset_v=True)
self.spike_counter = 0
self.last_spike_tick = -1
def to_dict(self) -> dict[str, Any]:
return {
"schema_version": 2,
"neuron_id": self.neuron_id,
"model": coerce_neuron_model(self.model).value,
"model_version": get_model_descriptor(self.model).version,
"config": self.config.to_dict(),
"a": self.a,
"b": self.b,
"c": self.c,
"d": self.d,
"v": self.v,
"u": self.u,
"energy": self.energy,
"spike_cost": self.spike_cost,
"spike_counter": self.spike_counter,
"last_spike_tick": self.last_spike_tick,
"threshold_adaptation": self.threshold_adaptation,
"last_external_current": self.last_external_current,
"last_synaptic_current": self.last_synaptic_current,
"neuron_type": self.neuron_type.name,
"pre_trace": self.pre_trace,
"post_trace": self.post_trace,
"firing_rate_estimate": self.firing_rate_estimate,
"model_switch_count": self.model_switch_count,
"last_model_switch_tick": self.last_model_switch_tick,
"enabled": self._enabled,
"spike_count_window": self._spike_count_window,
"last_update_tick": self._last_update_tick,
"refractory_until_tick": self._refractory_until_tick,
"has_stepped": self._has_stepped,
}
@classmethod
def from_dict(cls, data: dict[str, Any]) -> "Neuron":
neuron_type = NeuronType[data.get("neuron_type", "REGULAR_SPIKING")]
config_data = data.get("config")
if isinstance(config_data, dict):
config = NeuronConfig.from_dict(cast(dict[str, Any], config_data))
else:
config = NeuronConfig(
model=data.get("model", NeuronModel.IZHIKEVICH.value),
a=float(data.get("a", 0.02)),
b=float(data.get("b", 0.2)),
c=float(data.get("c", -65.0)),
d=float(data.get("d", 8.0)),
spike_cost=float(data.get("spike_cost", 0.001)),
)
model = coerce_neuron_model(data.get("model", config.model))
neuron = cls(
neuron_id=int(data["neuron_id"]),
a=float(data.get("a", config.a)),
b=float(data.get("b", config.b)),
c=float(data.get("c", config.c)),
d=float(data.get("d", config.d)),
v=float(data.get("v", config.initial_v)),
u=float(data.get("u", config.initial_u)),
energy=float(data.get("energy", config.resting_energy)),
spike_cost=float(data.get("spike_cost", config.spike_cost)),
spike_counter=int(data.get("spike_counter", 0)),
last_spike_tick=int(data.get("last_spike_tick", -1)),
threshold_adaptation=float(data.get("threshold_adaptation", 0.0)),
last_external_current=float(data.get("last_external_current", 0.0)),
last_synaptic_current=float(data.get("last_synaptic_current", 0.0)),
neuron_type=neuron_type,
model=model,
pre_trace=float(data.get("pre_trace", 0.0)),
post_trace=float(data.get("post_trace", 0.0)),
firing_rate_estimate=float(data.get("firing_rate_estimate", 0.0)),
model_switch_count=int(data.get("model_switch_count", 0)),
last_model_switch_tick=int(data.get("last_model_switch_tick", -1)),
)
neuron.set_config(config)
neuron._enabled = bool(data.get("enabled", True))
neuron._spike_count_window = int(data.get("spike_count_window", 0))
neuron._last_update_tick = int(data.get("last_update_tick", 0))
neuron._refractory_until_tick = int(data.get("refractory_until_tick", -1))
neuron._has_stepped = bool(
data.get(
"has_stepped", neuron.spike_counter > 0 or neuron._last_update_tick != 0
)
)
return neuron
def __str__(self) -> str:
return (
f"Neuron(id={self.neuron_id}, type={self.neuron_type.name}, "
f"model={coerce_neuron_model(self.model).value}, v={self.v:.1f}mV, "
f"spikes={self.spike_counter}, rate={self.firing_rate_estimate:.1f}Hz)"
)
def __repr__(self) -> str:
return self.__str__()
def create_neuron(
neuron_id: int,
neuron_type: NeuronType = NeuronType.REGULAR_SPIKING,
config: NeuronConfig | None = None,
**kwargs: Any,
) -> Neuron:
params = neuron_type.default_params
config_a = config.a if config is not None else params[0]
config_b = config.b if config is not None else params[1]
config_c = config.c if config is not None else params[2]
config_d = config.d if config is not None else params[3]
initial_v = config.initial_v if config is not None else -65.0
initial_u = config.initial_u if config is not None else -13.0
initial_energy = config.resting_energy if config is not None else 1.0
spike_cost = config.spike_cost if config is not None else 0.001
configured_model = config.model if config is not None else NeuronModel.IZHIKEVICH
model = coerce_neuron_model(kwargs.get("model", configured_model))
if config is not None and model is not coerce_neuron_model(config.model):
raise ValueError("Explicit model must match config.model")
neuron = Neuron(
neuron_id=neuron_id,
a=kwargs.get("a", config_a),
b=kwargs.get("b", config_b),
c=kwargs.get("c", config_c),
d=kwargs.get("d", config_d),
v=kwargs.get("v", initial_v),
u=kwargs.get("u", initial_u),
energy=kwargs.get("energy", initial_energy),
spike_cost=kwargs.get("spike_cost", spike_cost),
spike_counter=kwargs.get("spike_counter", 0),
last_spike_tick=kwargs.get("last_spike_tick", -1),
threshold_adaptation=kwargs.get("threshold_adaptation", 0.0),
neuron_type=neuron_type,
model=model,
pre_trace=kwargs.get("pre_trace", 0.0),
post_trace=kwargs.get("post_trace", 0.0),
firing_rate_estimate=kwargs.get("firing_rate_estimate", 0.0),
)
if config is not None:
neuron.set_config(config)
return neuron
def create_random_neuron(
neuron_id: int,
rng: Any,
neuron_type: NeuronType | None = None,
) -> Neuron:
if neuron_type is None:
neuron_type = rng.choice(list(NeuronType))
assert neuron_type is not None
params = neuron_type.default_params
a = max(0.01, min(0.2, params[0] * (1.0 + rng.uniform(-0.1, 0.1))))
b = max(0.1, min(0.5, params[1] * (1.0 + rng.uniform(-0.1, 0.1))))
c = max(-80.0, min(-40.0, params[2] + rng.uniform(-5.0, 5.0)))
d = max(1.0, min(15.0, params[3] + rng.uniform(-1.0, 1.0)))
return create_neuron(
neuron_id,
neuron_type,
a=a,
b=b,
c=c,
d=d,
v=rng.uniform(-70.0, -50.0),
u=rng.uniform(-20.0, -5.0),
energy=rng.uniform(0.8, 1.0),
)
__all__ = [
"Neuron",
"NeuronConfig",
"NeuronModel",
"NeuronType",
"available_neuron_models",
"create_neuron",
"create_random_neuron",
]
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