Synaptic Plasticity: How the Brain Rewires Itself

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Pre before post by 10ms at 20Hz for 10s → LTP: +35% weight increase. 200 spike pairs. STDP window: ±40ms. Plasticity type: LTP (strengthening).

With presynaptic spikes arriving 10ms before postsynaptic spikes at 20Hz for 10 seconds, the synapse undergoes LTP, strengthening by approximately 35% from baseline.

Formula

Δw = A₊ × exp(-Δt/τ₊) if Δt > 0 (LTP)
Δw = -A₋ × exp(Δt/τ₋) if Δt < 0 (LTD)

The Discovery of LTP

In 1973, Timothy Bliss and Terje Lomo made a landmark discovery: stimulating a neural pathway in the rabbit hippocampus with high-frequency pulses caused a lasting increase in synaptic strength that persisted for hours or days. They called this Long-Term Potentiation (LTP). For the first time, neuroscience had a cellular mechanism that could plausibly underlie learning and memory — a synapse that remembered its own history. The complementary process, Long-Term Depression (LTD), was discovered later: low-frequency stimulation weakens synapses. Together, LTP and LTD give the brain bidirectional control over connection strength.

Spike-Timing-Dependent Plasticity

In 1998, Guo-Qiang Bi and Mu-Ming Poo discovered something remarkable: it's not just the rate of stimulation that matters, but the precise millisecond-level timing between individual spikes. If a presynaptic spike arrives 1-20ms before a postsynaptic spike, the synapse strengthens (LTP). If the order is reversed — postsynaptic before presynaptic by 1-20ms — the synapse weakens (LTD). Outside a ±40ms window, no significant change occurs. This Spike-Timing-Dependent Plasticity (STDP) rule is elegant because it detects causality: connections where the presynaptic neuron helps cause the postsynaptic response are reinforced.

The STDP Learning Window

The STDP curve — weight change as a function of spike timing — has a characteristic asymmetric shape. The LTP side (positive Δt) typically has a time constant of about 17ms and maximum amplitude A+ ≈ 1% per spike pair. The LTD side (negative Δt) has a longer time constant of about 34ms and amplitude A- ≈ 0.5%. This asymmetry means LTP is stronger but shorter-range in time, while LTD is weaker but acts over a broader timing window. The net effect depends on firing rates: at low frequencies, LTD slightly dominates (preventing runaway strengthening), while at high frequencies associated with active learning, LTP wins.

From Synapses to Memory

STDP provides a biologically realistic implementation of Hebb's rule with a crucial addition: temporal asymmetry that encodes causality. This has profound implications for how the brain forms memories. When you learn that thunder follows lightning, the 'lightning neurons' consistently fire before 'thunder neurons,' strengthening that causal connection. When sequences repeat — as in learning to play a melody — STDP creates a chain of strong connections encoding the correct order. Early LTP (1-3 hours) requires only modification of existing AMPA receptors. Late LTP triggers CREB transcription, new protein synthesis, and actual growth of new synaptic boutons — the physical substrate of lasting memories. This is why studying in spaced sessions (allowing late LTP consolidation) produces better retention than cramming.

FAQ

What is LTP and LTD?

LTP (Long-Term Potentiation) is a lasting strengthening of synaptic connections, the cellular basis of learning. LTD (Long-Term Depression) is lasting weakening. Together, they allow the brain to selectively strengthen useful connections and weaken irrelevant ones.

What is STDP?

Spike-Timing-Dependent Plasticity: a biological learning rule where the precise timing between pre and postsynaptic spikes determines the direction and magnitude of synaptic change. Pre-before-post (causal timing) → LTP. Post-before-pre (anti-causal) → LTD.

Why does spike timing matter?

Timing encodes causality. If neuron A's spike consistently precedes neuron B's spike by a few milliseconds, A likely contributed to causing B's firing — that connection should strengthen. If B fires first, A didn't cause it — that connection should weaken.

How long does LTP last?

Early LTP lasts 1-3 hours and requires only existing protein modification. Late LTP lasts days to years and requires new protein synthesis and structural changes — actual growth of new synaptic connections. This is the molecular basis of long-term memory.

Sources

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