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Neuroscience

Neuroscience explains how a single cell firing an electrical spike scales up into memory, movement and thought. This hub gathers the site's neuroscience simulations into one guided starting point, from the Nobel-winning Hodgkin-Huxley equations that describe a single neuron's action potential to networks of thousands of neurons synchronising into the brain rhythms an EEG picks up on your scalp.

12+ simulations Canvas 2D · Coupled Differential Equations

Simulations in this Topic

12 simulations across Neuroscience and Computational Neural Models

🧠 ★★☆☆ Moderate
Brainwave Oscillations — EEG Simulator
A Kuramoto coupled-oscillator EEG model — visualise alpha, beta, theta and delta brain waves and tune coupling strength, noise and brain-state presets.
Neuroscience
★★★☆ Advanced
Hodgkin-Huxley Neuron
The Nobel-winning conductance-based neuron model — inject current and watch Na⁺ and K⁺ gating variables drive the action potential spike and refractory period.
Neuroscience
🧠 ★★☆☆ Moderate
Synapse — Neurotransmitter & EPSP/IPSP
Watch an action potential trigger vesicle release, neurotransmitter diffusion across the cleft, and a resulting EPSP or IPSP at the postsynaptic neuron.
Neuroscience
🔄 ★★☆☆ Moderate
Kuramoto Synchronization
N coupled phase oscillators spontaneously synchronize above a critical coupling strength — neurons, fireflies and heart cells all obey the same mathematics.
Neuroscience
🧠 ★★★☆ Advanced
Neural Oscillators
Explore brain rhythms and gamma oscillations through the Kuramoto model and the balance between excitatory and inhibitory populations.
Neuroscience
🧠 ★★★☆ Advanced
Synaptic Plasticity — How Neurons Learn (STDP)
Synapses strengthen or weaken based on spike timing — fire before the postsynaptic neuron and the link grows, fire after and it shrinks.
Neuroscience
🚶 ★★★☆ Advanced
Central Pattern Generator — Rhythms of Walking
Neural circuits called central pattern generators produce rhythmic motor output like walking, swimming and breathing without any sensory input.
Neuroscience
🧠 ★★★★ Expert
Neurovascular Coupling & BOLD Signal
Neural activity increases local blood flow via nitric oxide — the balloon model that turns this into the BOLD signal read by fMRI scanners.
Neuroscience
🔗 ★★★☆ Advanced
Long-Term Potentiation & LTD
Hebbian plasticity in action — synapse strength changes with correlated pre- and post-synaptic activity, following the BCM sliding-threshold rule.
Neuroscience
🗺️ ★★☆☆ Moderate
Motor Cortex Topographic Map
The motor homunculus, reproduced by a self-organizing Kohonen map that learns a topographic representation of the body from random inputs.
Neuroscience
🧠 ★★★☆ Advanced
Spiking Neural Network
A network of 40 excitatory and 10 inhibitory leaky integrate-and-fire neurons with STDP plasticity — watch the scrolling raster plot and voltage trace.
Neuroscience
🧠 ★★★☆ Advanced
Spiking Neural Network — Sync & Async Regimes
A leaky integrate-and-fire network you can tune by connectivity, excitatory/inhibitory ratio and input current, shifting the spike raster between regimes.
Computational Models

Suggested Learning Path

Five simulations, in the order we recommend exploring them

  1. 1
    1. Hodgkin-Huxley Neuron

    Start at the level of a single cell — inject current and watch the sodium and potassium gates that generate a real action potential.

  2. 2
    2. Synapse — Neurotransmitter & EPSP/IPSP

    See what happens when that spike reaches the end of the axon: vesicle release, neurotransmitter diffusion, and a postsynaptic response.

  3. 3
    3. Synaptic Plasticity — How Neurons Learn (STDP)

    Learn how the timing of spikes across a synapse strengthens or weakens it — the cellular basis of learning and memory.

  4. 4
    4. Kuramoto Synchronization

    Zoom out from one synapse to a population of oscillators and watch spontaneous synchrony emerge above a critical coupling strength.

  5. 5
    5. Brainwave Oscillations — EEG Simulator

    Apply that same synchronization mathematics to a full EEG model and see how alpha, beta, theta and delta rhythms emerge from coupled populations.

Related Articles

The theory and maths behind the simulations above

How the Brain Stores Memory
Memory stages, the hippocampus, long-term potentiation and synaptic plasticity, sleep consolidation, and the forgetting curve.
Neural Oscillations: The Rhythms of the Brain
What alpha, beta, gamma, theta and delta brain waves are, how they are generated, and what they reveal about brain state.
Synaptic Plasticity — Hebb's Rule, LTP/LTD, and Spike-Timing-Dependent Plasticity
Hebbian learning, long-term potentiation and depression, and the STDP rule that ties synaptic strength to precise spike timing.
Hodgkin-Huxley Model — The Equations Behind the Action Potential
The ion-channel conductance equations that won Hodgkin and Huxley the 1963 Nobel Prize, and how they generate a spike.
Kuramoto Oscillators — The Mathematics of Synchronization
How the Kuramoto model explains spontaneous synchrony in neurons, fireflies, pacemaker cells and power grids alike.

About the Neuroscience Topic

From a single ion channel to brain rhythms — a complete map of the topic

Neuroscience studies how the nervous system produces perception, movement, memory and thought, and it does so by working across scales — from a single ion channel opening in a cell membrane to millions of neurons synchronising into the rhythms an EEG cap picks up on your scalp. This hub gathers every interactive neuroscience simulation on mysimulator.uk into one guided starting point, so instead of memorising a differential equation from a textbook, you can inject a current, tune a coupling strength, and watch the same mathematics that governs real neurons play out in your browser.

The foundation of the whole field is the action potential, and the Hodgkin-Huxley neuron simulation reproduces the exact conductance-based equations that Alan Hodgkin and Andrew Huxley used to win the 1963 Nobel Prize. Inject current into the simulated squid giant axon and you'll see voltage-gated sodium channels open explosively, driving a rapid depolarisation, followed by potassium channels opening more slowly to repolarise the membrane and enforce a refractory period during which the neuron cannot fire again. Every spike in every other simulation on this page — however abstracted — ultimately traces back to this mechanism.

A spike is useless until it reaches another cell, and the synapse simulation shows what happens at that handoff: the arriving action potential triggers calcium influx, calcium triggers vesicle release, neurotransmitter diffuses across the synaptic cleft, and receptor binding produces either an excitatory postsynaptic potential (EPSP) that nudges the next neuron toward firing, or an inhibitory one (IPSP) that pushes it away. The synaptic plasticity and long-term potentiation simulations show that this connection isn't fixed — the precise timing between a presynaptic spike and a postsynaptic spike determines whether the synapse strengthens or weakens, a rule called spike-timing-dependent plasticity (STDP) that is widely believed to be the cellular substrate of learning and memory. The BCM rule formalises a related idea with a sliding modification threshold that adapts to recent activity, keeping learning stable rather than runaway.

Individual neurons rarely act alone; the central pattern generator simulation shows how a small circuit of mutually inhibiting neurons can produce rhythmic motor output — the alternating leg movements of walking, the beat of breathing — entirely on its own, without needing a repeating signal from the brain or sensory feedback. Scale up further and populations of neurons synchronise the way any coupled oscillators do: the Kuramoto synchronization simulation demonstrates the general mathematics (also used to describe fireflies flashing in unison and power-grid generators locking to a common frequency), and the neural oscillators and brainwave EEG simulations apply that same coupled-oscillator mathematics to real cortical rhythms — the alpha waves of relaxed wakefulness, the beta waves of active concentration, and the slower theta and delta waves associated with drowsiness and deep sleep.

The spiking neural network simulations pull individual neurons together into small networks of leaky integrate-and-fire units, complete with excitatory and inhibitory populations and STDP synapses, and let you watch a raster plot shift between disorganised, asynchronous firing and tightly synchronised bursts as you change connectivity and the excitation/inhibition balance — the same balance implicated in conditions like epilepsy when it tips too far toward synchrony. At the other end of the scale, neurovascular coupling and the BOLD signal simulation connect neural activity to something measurable from outside the skull: firing neurons trigger local blood vessel dilation via nitric oxide, and the resulting change in blood oxygenation is exactly the signal an fMRI scanner detects — the link between a spike in a single cell and a coloured blob on a brain scan.

Together these simulations trace the topic's full arc, from a single voltage-gated ion channel to the population rhythms that define conscious states and the blood-flow signals that let us watch a living brain think. Every model here is a genuine numerical integration of the underlying equations — Hodgkin-Huxley's four coupled differential equations, the Kuramoto phase-coupling model, the leaky integrate-and-fire spiking equations — not a pre-rendered animation, so changing a parameter changes the actual dynamics, not just the picture. That makes this hub useful whether you're a student building intuition before a neuroscience exam, an educator looking for a single adjustable demonstration, or simply curious how three pounds of electrochemical tissue produces everything you experience.

Frequently Asked Questions

Common questions about neuroscience and computational neural models

What is the Hodgkin-Huxley model and why does it matter?
It's a set of four coupled differential equations, based on real experiments on the squid giant axon, that describe how voltage-gated sodium and potassium channels generate the action potential. Alan Hodgkin and Andrew Huxley won the 1963 Nobel Prize for it, and it remains the gold-standard biophysical model of neuron firing.
What does spike-timing-dependent plasticity (STDP) actually do?
STDP strengthens a synapse when the presynaptic neuron fires shortly before the postsynaptic one (suggesting it helped cause the firing) and weakens it when the order is reversed. It is one of the leading cellular explanations for how the brain encodes memory and learns from experience.
How are brain waves like alpha and beta actually generated?
Brain waves are the aggregate electrical signal of large populations of neurons firing with correlated timing. When many neurons synchronise their firing phase — the same mathematics as the Kuramoto model — the summed electrical field is strong enough to be picked up by scalp electrodes as a rhythmic EEG oscillation at a characteristic frequency band.
What is a central pattern generator?
A central pattern generator is a small neural circuit, often built from mutually inhibiting halves, that can produce rhythmic motor output like walking or breathing on its own, without step-by-step instructions from the brain or continuous sensory feedback — though both can fine-tune the rhythm it produces.

Other Topic Hubs

Every simulation in this hub runs entirely in your browser, with no installation required. Use each interactive model to experiment with ion channels, synapses and neural networks, then learn neuroscience online at your own pace by tweaking parameters and watching the mathematics play out.