Brain & Neuroscience

From single neurons to the architecture of thought

Action Potential & Neuron Anatomy

Click to trigger action potential

Action Potential Steps

  1. Resting potential: -70mV
  2. Depolarization: Na⁺ rushes in → +40mV
  3. Repolarization: K⁺ flows out
  4. Hyperpolarization (refractory period)
  5. Return to resting potential

Key Facts

Speed: 1–120 m/s along myelinated axons
Duration: ~1–2 milliseconds
Refractory period: ~2ms (can't fire again)
Brain neurons: ~86 billion
Synapses: ~100 trillion connections

All-or-nothing lawMyelin speeds conduction

Neural Network Visualization

Activation Functions

Sigmoid σ(x) = 1/(1+e⁻ˣ)

Output: 0–1. Used in output layer for probability. Problem: vanishing gradients in deep networks.

ReLU max(0, x)

Output: 0 to ∞. Default for hidden layers. Fast, sparse activations. Dead neuron problem below 0.

Brain Regions

Click a region to learn about its functions.

Click a brain region on the diagram to see its functions.

Cognitive Science

Working Memory

Miller's Law: humans can hold 7 ± 2 items in working memory (chunking helps). Working memory is limited but is the "workspace" of conscious thought.

Neuroplasticity

The brain reorganizes neural connections throughout life. Learning creates new synapses; disuse weakens them. "Neurons that fire together, wire together."

Synaptic plasticityLTP/LTDAdult neurogenesis

Sleep & Memory

During sleep, the hippocampus replays memories and transfers them to cortical long-term storage. REM sleep consolidates procedural and emotional memories.

SWS: declarative memoryREM: procedural memory

Cognitive Biases — Click to learn