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This module defines the Neuron class, which implements the Izhikevich
spiking neuron model with:
- Multiple neuron types (excitatory, inhibitory, etc.)
- Adaptive threshold and homeostasis
- Energy consumption and spike cost
- STDP trace support for plasticity
- Serialization and factory functions
"""
from __future__ import annotations
from dataclasses import dataclass, field
from enum import Enum, auto
from typing import Any, Callable
# ============================================================================
# Neuron Types
# ============================================================================
class NeuronType(Enum):
"""Types of neurons with distinct Izhikevich parameters."""
REGULAR_SPIKING = auto() # RS - typical excitatory
FAST_SPIKING = auto() # FS - fast inhibitory
INTRINSICALLY_BURSTING = auto() # IB - bursting neurons
CHATTERING = auto() # CH - chattering
LOW_THRESHOLD_SPIKING = auto() # LTS - low-threshold
RESONATOR = auto() # RZ - resonator
SENSORY = auto() # Sensory input neuron
MOTOR = auto() # Motor output neuron
@property
def default_params(self) -> tuple[float, float, float, float]:
"""Get default Izhikevich parameters for this neuron type.
Returns:
(a, b, c, d) tuple.
"""
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), # same as RS
NeuronType.MOTOR: (0.02, 0.2, -65.0, 8.0), # same as RS
}
return params.get(self, (0.02, 0.2, -65.0, 8.0))
# ============================================================================
# Neuron Configuration
# ============================================================================
@dataclass(frozen=True, slots=True)
class NeuronConfig:
"""Configuration parameters for neuron dynamics and plasticity."""
# Izhikevich parameters (can be overridden per neuron)
a: float = 0.02
b: float = 0.2
c: float = -65.0
d: float = 8.0
# Threshold adaptation
threshold_adaptation_rate: float = 0.01 # per spike
threshold_adaptation_decay: float = 0.999 # per tick (homeostasis)
# Energy
spike_cost: float = 0.001
resting_energy: float = 1.0
energy_recovery_rate: float = 0.0001 # per tick
# STDP traces (for neuron-level eligibility)
trace_decay: float = 0.95 # per tick
trace_increment: float = 1.0 # on spike
# Homeostasis
target_rate_hz: float = 10.0 # desired firing rate
homeostasis_learning_rate: float = 0.001 # per tick
# ============================================================================
# Neuron Class
# ============================================================================
@dataclass(slots=True)
class Neuron:
"""One deterministic spiking neuron with energy and adaptive threshold.
This implements the Izhikevich neuron model with:
- Membrane potential (v) and recovery variable (u)
- Spike-driven threshold adaptation
- Energy consumption and recovery
- STDP trace support
- Homeostatic rate regulation
Attributes:
neuron_id: Unique identifier for this neuron.
a: Izhikevich parameter (recovery time constant).
b: Izhikevich parameter (sensitivity of u to v).
c: Izhikevich parameter (reset potential).
d: Izhikevich parameter (recovery increment after spike).
v: Membrane potential (mV).
u: Recovery variable.
energy: Current energy level (0.0 - 1.0).
spike_cost: Energy cost per spike.
spike_counter: Total number of spikes fired.
last_spike_tick: Tick of the last spike (-1 if never).
threshold_adaptation: Adaptive threshold offset (mV).
last_external_current: Last external input current.
last_synaptic_current: Last synaptic input current.
neuron_type: Type of neuron (for parameter lookup).
config: Configuration for this neuron.
pre_trace: Presynaptic STDP trace (for triplet STDP).
post_trace: Postsynaptic STDP trace (for triplet STDP).
firing_rate_estimate: Smoothed firing rate estimate.
_spike_count_window: Number of spikes in recent window.
_last_update_tick: Last tick when traces were updated.
"""
# === Core fields ===
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 ===
energy: float = 1.0
spike_cost: float = 0.001
# === Statistics ===
spike_counter: int = 0
last_spike_tick: int = -1
# === Adaptation ===
threshold_adaptation: float = 0.0
# === Currents (for debugging) ===
last_external_current: float = 0.0
last_synaptic_current: float = 0.0
# === Type and configuration ===
neuron_type: NeuronType = NeuronType.REGULAR_SPIKING
# === STDP traces ===
pre_trace: float = 0.0 # Presynaptic trace for triplet STDP
post_trace: float = 0.0 # Postsynaptic trace for triplet STDP
# === Homeostasis ===
firing_rate_estimate: float = 0.0
# === Internal state ===
_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
_dirty_callback: Callable[[], None] | None = field(
default=None, repr=False, init=False
)
def set_dirty_callback(self, callback: Callable[[], None] | None) -> None:
"""Attach the runtime callback used to publish state mutations."""
self._dirty_callback = callback
def mark_dirty(self) -> None:
"""Publish a mutation to an attached runtime observer."""
if self._dirty_callback is not None:
self._dirty_callback()
@property
def is_inhibitory(self) -> bool:
"""Whether this neuron is an inhibitory type (FAST_SPIKING)."""
return self.neuron_type is NeuronType.FAST_SPIKING
# ========================================================================
# Initialization
# ========================================================================
def __post_init__(self) -> None:
"""Initialize neuron with default config and type parameters."""
if self._config is None:
self._config = NeuronConfig()
# Set default parameters based on neuron type if not manually specified
if self.neuron_type != NeuronType.REGULAR_SPIKING:
params = self.neuron_type.default_params
# Only override if values are still at defaults
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
# ========================================================================
# Configuration
# ========================================================================
@property
def config(self) -> NeuronConfig:
"""Get the current configuration."""
if self._config is None:
self._config = NeuronConfig()
return self._config
def set_config(self, config: NeuronConfig) -> None:
"""Set the configuration for this neuron."""
self._config = config
# ========================================================================
# Core Dynamics
# ========================================================================
def step(self, input_current: float, tick: int) -> bool:
"""Advance the neuron by one millisecond and return whether it spiked.
Uses the Izhikevich model with adaptive threshold.
Also updates energy, homeostasis, and traces.
Args:
input_current: Total input current (external + synaptic).
tick: Current simulation tick.
Returns:
True if the neuron spiked, False otherwise.
"""
if not self._enabled:
return False
# Store currents for debugging
self.last_external_current = 0.0 # Will be set by caller
self.last_synaptic_current = input_current # Will be set by caller
# Izhikevich integration (with adaptive threshold)
# Using two-step Euler method for better stability
self.v += 0.5 * (
0.04 * self.v * self.v + 5.0 * self.v + 140.0 - self.u + input_current
)
self.v += 0.5 * (
0.04 * self.v * self.v + 5.0 * self.v + 140.0 - self.u + input_current
)
self.u += self.a * (self.b * self.v - self.u)
# Check spike condition (with adaptive threshold)
threshold = 30.0 + self.threshold_adaptation
spiked = False
if self.v >= threshold:
# Spike!
self.v = self.c
self.u += self.d
self.spike_counter += 1
self.last_spike_tick = tick
self._spike_count_window += 1
# Energy cost
self.energy = max(0.0, self.energy - self.spike_cost)
# Update firing rate estimate
dt = tick - self._last_update_tick if self._last_update_tick > 0 else 1
self._update_firing_rate(dt)
# Update adaptation
self.threshold_adaptation += self.config.threshold_adaptation_rate
# Update traces
self.pre_trace += self.config.trace_increment
self.post_trace += self.config.trace_increment
spiked = True
# Decay traces
self._decay_traces()
# Energy recovery
self.energy = min(1.0, self.energy + self.config.energy_recovery_rate)
# Threshold adaptation decay (homeostasis)
self.threshold_adaptation *= self.config.threshold_adaptation_decay
# Homeostatic rate regulation (slow)
self._apply_homeostasis()
# Update tick tracking
self._last_update_tick = tick
self.mark_dirty()
return spiked
# ========================================================================
# Traces and Plasticity
# ========================================================================
def _decay_traces(self) -> None:
"""Decay STDP traces."""
decay = self.config.trace_decay
self.pre_trace *= decay
self.post_trace *= decay
def get_pre_trace(self) -> float:
"""Get the presynaptic trace value."""
return self.pre_trace
def get_post_trace(self) -> float:
"""Get the postsynaptic trace value."""
return self.post_trace
def reset_traces(self) -> None:
"""Reset all trace values."""
self.pre_trace = 0.0
self.post_trace = 0.0
# ========================================================================
# Homeostasis
# ========================================================================
def _update_firing_rate(self, dt: int) -> None:
"""Update the smoothed firing rate estimate."""
# Simple exponential moving average
alpha = 1.0 / (10.0 + dt) # adaptive smoothing
# Estimate rate from recent spike count
rate = self._spike_count_window / max(1, dt)
self.firing_rate_estimate = (
1.0 - alpha
) * self.firing_rate_estimate + alpha * rate
# Reset window counter periodically
if dt > 100:
self._spike_count_window = 0
def _apply_homeostasis(self) -> None:
"""Apply homeostatic regulation to threshold and energy."""
config = self.config
target = config.target_rate_hz
current = self.firing_rate_estimate
# Scale threshold adaptation based on error
error = current - target
self.threshold_adaptation += config.homeostasis_learning_rate * error
# Clamp threshold adaptation to prevent runaway
self.threshold_adaptation = max(-10.0, min(10.0, self.threshold_adaptation))
# ========================================================================
# Energy Management
# ========================================================================
def drain_energy(self, amount: float) -> float:
"""Drain energy by a specified amount.
Returns:
Actual amount drained (capped by available energy).
"""
drained = min(amount, self.energy)
self.energy -= drained
return drained
def restore_energy(self, amount: float) -> float:
"""Restore energy by a specified amount.
Returns:
Actual amount restored (capped by max energy).
"""
max_energy = 1.0
restored = min(amount, max_energy - self.energy)
self.energy += restored
return restored
# ========================================================================
# State Management
# ========================================================================
def enable(self) -> None:
"""Enable this neuron (allow spiking and plasticity)."""
self._enabled = True
def disable(self) -> None:
"""Disable this neuron (no spiking or plasticity)."""
self._enabled = False
@property
def is_enabled(self) -> bool:
"""Check if the neuron is enabled."""
return self._enabled
def reset_state(self, reset_v: bool = True) -> None:
"""Reset the neuron's dynamic state (membrane potential, recovery)."""
if reset_v:
self.v = self.c
self.u = self.c * 0.2 # approximate resting u
self.threshold_adaptation = 0.0
self.energy = 1.0
self.firing_rate_estimate = 0.0
self._spike_count_window = 0
self.reset_traces()
def reset_full(self) -> None:
"""Reset all state including statistics."""
self.reset_state(reset_v=True)
self.spike_counter = 0
self.last_spike_tick = -1
# ========================================================================
# Serialization
# ========================================================================
def to_dict(self) -> dict[str, Any]:
"""Serialize neuron to dictionary."""
return {
"neuron_id": self.neuron_id,
"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,
"neuron_type": self.neuron_type.name,
"pre_trace": self.pre_trace,
"post_trace": self.post_trace,
"firing_rate_estimate": self.firing_rate_estimate,
}
@classmethod
def from_dict(cls, data: dict[str, Any]) -> Neuron:
"""Deserialize neuron from dictionary."""
neuron_type = NeuronType[data.get("neuron_type", "REGULAR_SPIKING")]
return cls(
neuron_id=data["neuron_id"],
a=data.get("a", 0.02),
b=data.get("b", 0.2),
c=data.get("c", -65.0),
d=data.get("d", 8.0),
v=data.get("v", -65.0),
u=data.get("u", -13.0),
energy=data.get("energy", 1.0),
spike_cost=data.get("spike_cost", 0.001),
spike_counter=data.get("spike_counter", 0),
last_spike_tick=data.get("last_spike_tick", -1),
threshold_adaptation=data.get("threshold_adaptation", 0.0),
neuron_type=neuron_type,
pre_trace=data.get("pre_trace", 0.0),
post_trace=data.get("post_trace", 0.0),
firing_rate_estimate=data.get("firing_rate_estimate", 0.0),
)
# ========================================================================
# String Representation
# ========================================================================
def __str__(self) -> str:
return (
f"Neuron(id={self.neuron_id}, type={self.neuron_type.name}, "
f"v={self.v:.1f}mV, spikes={self.spike_counter}, "
f"rate={self.firing_rate_estimate:.1f}Hz)"
)
def __repr__(self) -> str:
return self.__str__()
# ============================================================================
# Factory Functions
# ============================================================================
def create_neuron(
neuron_id: int,
neuron_type: NeuronType = NeuronType.REGULAR_SPIKING,
config: NeuronConfig | None = None,
**kwargs: Any,
) -> Neuron:
"""Create a neuron with specified type and optional custom parameters.
Args:
neuron_id: Unique identifier for the neuron.
neuron_type: Type of neuron (affects default Izhikevich parameters).
config: Optional custom configuration.
**kwargs: Override any neuron attribute (a, b, c, d, v, u, etc.)
Returns:
A new Neuron instance.
Example:
>>> neuron = create_neuron(42, NeuronType.FAST_SPIKING, v=-60.0)
>>> neuron.step(0.0, 0)
"""
# Get default parameters for this type
params = neuron_type.default_params
neuron = Neuron(
neuron_id=neuron_id,
a=kwargs.get("a", params[0]),
b=kwargs.get("b", params[1]),
c=kwargs.get("c", params[2]),
d=kwargs.get("d", params[3]),
v=kwargs.get("v", -65.0),
u=kwargs.get("u", -13.0),
energy=kwargs.get("energy", 1.0),
spike_cost=kwargs.get("spike_cost", 0.001),
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,
)
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:
"""Create a neuron with random Izhikevich parameters.
Args:
neuron_id: Unique identifier for the neuron.
rng: Random number generator with .uniform() and .choice() methods.
neuron_type: Optional neuron type; if None, random type chosen.
Returns:
A new Neuron instance with randomized parameters.
Example:
>>> import random
>>> rng = random.Random(42)
>>> neuron = create_random_neuron(42, rng)
"""
if neuron_type is None:
neuron_type = rng.choice(list(NeuronType))
# Help Pylance understand that neuron_type is not None
assert neuron_type is not None
params = neuron_type.default_params
# Add small random perturbations
a = params[0] * (1.0 + rng.uniform(-0.1, 0.1))
b = params[1] * (1.0 + rng.uniform(-0.1, 0.1))
c = params[2] + rng.uniform(-5.0, 5.0)
d = params[3] + rng.uniform(-1.0, 1.0)
# Ensure parameters stay in reasonable ranges
a = max(0.01, min(0.2, a))
b = max(0.1, min(0.5, b))
c = max(-80.0, min(-40.0, c))
d = max(1.0, min(15.0, d))
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),
)
# ============================================================================
# Module Exports
# ============================================================================
__all__ = [
"Neuron",
"NeuronConfig",
"NeuronType",
"create_neuron",
"create_random_neuron",
]
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