[Verse 1]
Little jolts arrive at the dendrite door,
EPSP pushes the voltage up a little more,
IPSP comes cool, a hyperpolarizing hand,
Holding the cell quiescent, calm, refusing to expand.
Every bump's a whisper, a plus sign or a minus,
The membrane keeps the ledger of every charge that finds us.
[Chorus]
Складывай, складывай — add it up, moy drug,
Spatial inputs gather like rain into a jug,
Считай, считай — count it, let it climb,
Temporal summation, same synapse, quick in time.
Складывай, складывай, voltage rising high,
Порог, the threshold — cross it or the signal dies.
[Verse 2]
Five synapses firing at the very same beat,
Spatial summation, their voices all meet,
Side by side on the membrane, stacking on the spot,
Not one alone could do it, but together — they've got
Enough to nudge the axon, enough to make it shout,
That's how a lonely whisper turns into a scream and out.
[Verse 3]
Now one synapse alone, but it won't let it rest,
Firing twice, three times, in rapid little zest,
Temporal summation, echoes stack in a row,
Before the first decays away, the second starts to grow.
The axon initial segment counts what arrives,
Crosses its threshold line — that's the moment it thrives.
[Chorus]
Складывай, складывай — add it up, moy drug,
Spatial inputs gather like rain into a jug,
Считай, считай — count it, let it climb,
Temporal summation, same synapse, quick in time.
Складывай, складывай, voltage rising high,
Порог, the threshold — cross it or the signal dies.
[Bridge]
Lapicque in nineteen-oh-seven drew it plain and spare:
Integrate and fire — the simplest neuron's prayer.
Add the input, let it leak, a slow and steady drain,
Hit the threshold, fire a spike, reset, and start again.
Rall's cable theory tells us how far a signal glides,
Time constant's ten to twenty — how long the charge abides,
Length constant sets the distance before the current's gone,
Decrement of voltage, fading as it travels on.
[Verse 4]
So the dendrite is a river, not a wire so clean,
Charge leaks out like water through a hull that isn't sealed,
But close in space, close in time, and the sum will stand its ground,
Cross the line at the hillock — that's where the spike is found.
Нейрон думает — считая — this is how it decides,
Adding, leaking, firing — where the logic quietly resides.
[Verse 5]
Refractory silence follows every spike that flies,
Sodium gates recover while the potassium sighs,
Inhibition shapes the rhythm, sharpens every call,
Balance of the currents — that's the secret of it all.
Every neuron a mathematician, quiet and precise,
Summing up the universe in volts and compromise.
[Outro]
Складывай, складывай, all the little volts,
Spatial, temporal — счёт never halts,
Threshold crossed, the axon sings its spike,
Integrate and fire — простая arithmetic of life.