Synaptic Plasticity

Causal strengthening, depressive pruning, and stability brakes

Plasticity is now framed as a family of teaching phenotypes rather than a single STDP curve. You can compare causal potentiation, anti-causal depression, metaplastic restraint, and saturation risk without pretending one local rule explains an entire memory.

Teaching presets

Start from a learning rule phenotype

Choose from fourteen phenotypes that span near-neutral coincidence, narrow and broad association windows, slow consolidation, reversible depression, homeostatic pullback, precision pruning, and full floor-or-ceiling saturation.

Causal potentiation

A clean pre-before-post window where causal timing strengthens the synapse without immediately saturating it.

Use this as the baseline teaching frame for Hebbian strengthening before discussing addiction, recovery, or maladaptive reinforcement.

This is a timing-rule scaffold, not a literal disease model.

STDP curve

Timing window

dt = 0LTPLTD

Delay sensitivity

Equal delays, opposite order

510203040causalanti-causal

At 10 ms, the same absolute delay can still favor strengthening or weakening depending on spike order and window asymmetry.

Selected timing

Current vs mirrored pairing

+10 ms+0.0049-10 ms-0.0052zero update

The mirrored ordering would actually dominate at this delay because the LTD side is broader or stronger.

Weight evolution

Synaptic strength across pairings

initialSpike pair

Realized update

What each pairing actually changed

+delta-deltapair index

Because the weight stays away from floor and ceiling, each pairing keeps expressing a real update instead of being clipped away.

Trajectory checkpoints

How fast the rule moves the synapse

25%0.5750%0.6575%0.72100%0.79

Checkpoint bars stay in midrange, so the rule remains teachable rather than collapsing into floor or ceiling.

Phenotype

Stability-biased plasticity

Metaplastic restraintcausal

The timing window still permits potentiation, but the overall balance leans toward depression, restraining growth and preserving midrange weights.

Final weight

0.7911

Where the synapse finishes after all pairings.

Total change

+0.2911

Net movement from the starting weight after repeated pairings.

Delta per pair

+0.0049

The current local update rule expressed at the selected timing offset.

Window bias

-0.0100

Positive favors LTP overall; negative favors LTD and stability pressure.

Saturation state

midrange

Whether the synapse is pressed toward ceiling, floor, or still lives in a teachable middle range.

Clinical lens

What this rule teaches

Helpful for explaining why real networks need braking forces that prevent every correlated event from becoming runaway strengthening.

Behavioral readout

What learners should notice

  • Weight changes are present but moderated.
  • The rule stays teachable without rapidly collapsing to floor or ceiling.
  • Depression remains available as a stabilizing counterweight.

Differential traps

What not to overclaim

  • A restrained rule is not the same thing as weak learning.
  • Stability pressure should not be confused with simple inhibition or lack of coincidence detection.

Examples

Where this plasticity phenotype shows up

These are teaching examples, not claims that one whole disease reduces to one synapse. The point is to give students multiple clinical, rehabilitation, developmental, and learning-science settings where this pattern of strengthening, weakening, or restraint is a useful explanatory frame.

Skill learning with preserved flexibility

A motor pattern improves through repetition, but countervailing rules keep the circuit from locking too early into one rigid solution.

This is the kind of example that makes metaplasticity feel useful instead of abstract: the network learns, but keeps room to adapt.

Post-injury recovery with safeguards

Rehabilitation strengthens helpful pathways, yet stability pressures keep the system from amplifying every noisy coincidence that appears during early recovery.

Students can use this to understand why recovery often needs both potentiation and brakes.

Ocular-dominance style recalibration

One stream begins to dominate, but slower counter-rules keep the overall system from permanently saturating after short-lived imbalance.

The point is not exact visual-cortex fidelity, but the principle that stabilizing rules preserve teachable midrange weights.

Sleep-supported renormalization

Wakeful learning leaves some pathways biased toward strengthening, but broader stabilizing processes keep the network from carrying every daytime gain forward at full amplitude.

This helps students connect metaplastic restraint to the idea that useful brains must both learn and re-normalize.

Adaptation without lock-in

A patient improves with prism or gait adaptation, yet the system retains enough counterpressure that the learned shift can still be revised when the environment changes again.

It is a good example of why stable midrange weights are often what make flexible relearning possible.

Classic anchors

Landmark examples to teach alongside the rule

Bi and Poo spike-timing experiments

The same pair of neurons could potentiate or depress depending on spike order and timing lag.

That experiment is the cleanest entry point for showing why anti-causal timing deserves its own teaching weight.

Cerebellar LTD literature

Climbing-fiber and parallel-fiber timing rules in cerebellar models highlighted selective weakening as an error-correction mechanism.

This gives students a concrete example where depression is instructive rather than simply destructive.

Turrigiano homeostatic scaling

Neurons can globally tune synaptic strength upward or downward to keep firing in a workable range.

It anchors the idea that real plastic networks need stability rules alongside Hebbian change.

Plain-language rule

The shortest phrasing worth remembering

"Neurons that fire together wire together" is only the broad idea. STDP says the exact timing decides whether the synapse should strengthen or weaken.

What happened

With deltaT=10 ms, the presynaptic spike occurs before the postsynaptic spike. That timing is interpreted as causal, so the synapse potentiates.
STDP is local and biologically plausible. Backpropagation is far more powerful, but it relies on a non-local error signal that real synapses do not obviously receive.

Biological basis

  • NMDA receptors behave like coincidence detectors because they need presynaptic glutamate and postsynaptic depolarization together.
  • Pre-before-post timing can trigger calcium conditions that favor CaMKII signaling and AMPA receptor insertion.
  • Post-before-pre timing changes calcium dynamics enough to favor phosphatases and synaptic weakening instead.
  • Making LTD slightly stronger than LTP helps stabilize the network and prevents runaway excitation.

Next questions

Useful follow-up experiments

  • How much negative bias is needed before causal timing stops producing net gain?
  • What shifts first if tauMinus or aMinus is reduced slightly?

Continue the loop

Use this with excitability, dopamine, and tutoring

Neuron Simulation

Advanced cellular physiology

Dopamine Prediction Error Lab

Computational clinical neuroscience

Neuro Tutor

Cross-module consult reasoning with explicit scoring