🧠 Neuroscience at Biophysics

Brainwave Oscillations — EEG SimulatorKuramoto coupled-oscillator EEG: alpha, beta, theta and delta bands (0.5–30 Hz). Adjust… Spiking Neural NetworkLIF neuron network (40 excitatory + 10 inhibitory) with STDP synaptic plasticity. Scrolling… Hodgkin-Huxley NeuronConductance-based neuron model (Nobel 1963). Inject current and watch Na⁺/K⁺ gating… Synapse — Neurotransmitter & EPSP/IPSPAn action potential triggers vesicle release: neurotransmitter crosses the cleft, binds… Kuramoto SynchronizationN coupled phase oscillators synchronize above critical coupling K_c. Order parameter jumps… Neural OscillatorsNewKuramoto oscillators phase-lock into brain rhythms: flip between Theta (6Hz), Alpha (10Hz)… Synaptic Plasticity — How Neurons Learn (STDP)NewSynapses strengthen or weaken based on spike timing: fire before the postsynaptic neuron and… Central Pattern Generator — Rhythms of WalkingNewCentral pattern generators produce rhythmic motor output — walking, swimming, breathing —… Neurovascular Coupling & BOLD SignalNewNeural activity increases blood flow via nitric oxide. Balloon model: dv/dt = (f_in −… Long-Term Potentiation & LTDNewHebbian plasticity: synapse strength shifts with correlated pre/post activity. BCM rule:… Motor Cortex Topographic MapNewThe motor homunculus: cortical area devoted to a body part scales with dexterity. A Kohonen… Neural OscillationsBrain wave patterns: alpha/beta/theta/delta rhythms through coupled Kuramoto oscillators. Neural Spike Train — Hodgkin-HuxleyA Hodgkin-Huxley neuron firing spike trains, with gating variables and a phase portrait.