Neural Synaptic Network

Cortical neural arborization network where soma nodes fire action potential electrical spikes across connecting axonal synapses with dendritic branches.

Playground

60 FPS • Canvas 2D

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Live Parameters

Spike Firing Rate 1.2

Neuronal action potential frequency

Synaptic Reach 150

Axon connection radius threshold

Mathematical Formulation

84 chars high

Analytical Equation

C_m \frac{dV}{dt} = I_{\text{ext}} - g_{\text{Na}} m^3 h (V - V_{\text{Na}}) - g_{\text{K}} n^4 (V - V_{\text{K}}) - g_L (V - V_L)

Compact Formula

spike = (timer % 2.5) < 0.25, pulse(px, py) = soma_i + (soma_j - soma_i) * (2t % 1)

Renderer Logic

const pulsePhase = (t * 2 + i * 0.3) % 1.0;
const px = neuronX[i] + dx * pulsePhase;
const py = neuronY[i] + dy * pulsePhase;
ctx.arc(neuronX[i], neuronY[i], isSpiking ? 9 : 6, 0, Math.PI * 2);

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#neurons #brain #synapse #anatomy #neuroscience #biology #action-potential

Author: Math Art Core Target: 60 FPS

Neural Synaptic Network

Live Parameters

Mathematical Formulation

Mathematical Tags

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