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neuron/BEH-SOMA.md

@@ -10,11 +10,18 @@ Qui comprendiamo:
 
 The soma is the cell body of the neuron — a roughly spherical structure, typically 10 to 30 micrometres across, that sits at the convergence point of all dendritic branches and at the origin of the axon. It is the decision-making centre of the neuron: its job is to continuously monitor the summed electrical input arriving from the dendrites and decide, moment by moment, whether that input is strong enough to warrant sending a signal forward. That decision takes the form of an action potential — a brief, explosive electrical event that propagates down the axon to the next neuron in the circuit and simultaneously backward up the dendrites as the bAP that enables postsynaptic plasticity.
 
-The soma receives V_dend — the summed dendritic potential — as a continuous input. This potential reflects the aggregate activity of every active spine on every dendritic branch, weighted by the electrical properties of each branch. The soma integrates this input across time through its own membrane capacitance: it accumulates charge when depolarising currents arrive and loses charge continuously through passive membrane leak. The result is a somatic membrane potential, V_soma, that rises when dendritic input is strong and sustained, and falls when input weakens or stops. V_soma is not a simple sum of inputs — it is a leaky integrator, always decaying toward rest, always requiring ongoing input to stay elevated.
+The soma receives VDB — the summed dendritic potential — as a continuous input. This potential reflects the aggregate activity of every active spine on every dendritic branch, weighted by the electrical properties of each branch. The soma integrates this input across time through its own membrane capacitance: it accumulates charge when depolarising currents arrive and loses charge continuously through passive membrane leak. The result is a somatic membrane potential, VSOMA, that rises when dendritic input is strong and sustained, and falls when input weakens or stops. VSOMA is not a simple sum of inputs — it is a leaky integrator, always decaying toward rest, always requiring ongoing input to stay elevated.
 
-The critical site of decision is not the soma body itself but the axon hillock — the narrow region where the soma tapers into the beginning of the axon. The axon hillock has the lowest threshold for firing of any part of the neuron, because it has the highest density of voltage-gated sodium channels. These channels are sensitive to voltage: when V_soma at the hillock crosses the firing threshold — typically about 15 millivolts above the resting membrane potential — they open explosively, allowing a massive inward rush of sodium that drives V_soma rapidly to its peak. This is the action potential. It is an all-or-nothing event: once the threshold is crossed, the AP fires to its full amplitude regardless of how far above threshold the triggering input was. The size of the AP does not encode the strength of the input — only whether it was strong enough to cross the threshold at all.
+While Na+ enter K+ exit. In order to spike, the flux of Na+ entering must be grater than K+ exiting. Timing andquantity is also important.
 
-Immediately after firing, the soma enters a refractory period. The same sodium channels that opened to produce the AP become inactivated — they cannot reopen until the membrane has repolarised past its resting level, which requires the delayed activation of potassium channels that pull V_soma below rest into a brief hyperpolarisation. During this absolute refractory period, no input, however strong, can trigger another AP. During the subsequent relative refractory period, firing is possible but requires a stronger-than-normal input because the membrane is recovering. This refractory mechanism sets the maximum firing rate of the neuron and ensures that APs are discrete, separated events rather than a continuous depolarisation.
+The critical site of decision is not the soma body itself but the axon hillock — the narrow region where the soma tapers into the beginning of the axon. The axon hillock has the lowest threshold for firing of any part of the neuron, because it has the highest density of voltage-gated sodium channels (VGSC). These channels are sensitive to voltage: when VSOMA at the hillock crosses the firing threshold — typically about 15 millivolts above the resting membrane potential — they open explosively, allowing a massive inward rush of sodium (Na+) that drives VSOMA rapidly to its peak. This is the action potential. It is an all-or-nothing event: once the threshold is crossed, the AP fires to its full amplitude regardless of how far above threshold the triggering input was. The size of the AP does not encode the strength of the input — only whether it was strong enough to cross the threshold at all.
+
+Immediately after firing, the soma enters a refractory period. The same sodium channels that opened to produce the AP become inactivated — they cannot reopen until the membrane has repolarised past its resting level, which requires the delayed activation of potassium channels that pull VSOMA below rest into a brief hyperpolarisation. During this absolute refractory period, no input, however strong, can trigger another AP. During the subsequent relative refractory period, firing is possible but requires a stronger-than-normal input because the membrane is recovering. This refractory mechanism sets the maximum firing rate of the neuron and ensures that APs are discrete, separated events rather than a continuous depolarisation.
+
+The reason the pump isn't the "timer" for the refractory period is scale.
+A single action potential only changes the internal sodium concentration by a fraction of 1% (approx. 0.0001 mM).
+The neuron does not need to "pump out" that sodium to fire again. It has enough "buffer" to fire hundreds or even thousands of times before the internal sodium concentration becomes a problem.
+Peer Correction: If the neuron had to wait for the pump to reset the concentration before every spike, our brains would run at about 1 Hz (1 spike per second) instead of 100–500 Hz. The pump is the "slow recharger," not the "instant reset."
 
 The metabolic cost of all this activity falls heavily on the soma. Every action potential disturbs the sodium and potassium gradients across the entire soma membrane — sodium rushes in during the rising phase, potassium rushes out during repolarisation. The Na/K-ATPase pump must then restore these gradients by actively moving three sodium ions out for every two potassium ions in, at the cost of one ATP molecule per pump cycle. At high firing rates this cost is substantial — a neuron firing at 100 Hz consumes ATP at a rate that would exhaust its local reserves in seconds without continuous resupply. The astrocyte network surrounding the soma provides this supply through glucose delivery and lactate shuttling, making the soma's ability to sustain firing directly dependent on the metabolic health of its supporting glial environment.
 
@@ -32,35 +39,23 @@ The soma is therefore not a simple threshold device. It is a dynamic integrator
 
 In this model we decide to simplify:
 
-- We do not model the axon hillock as a separate compartment — threshold crossing is computed directly from V_soma
+- We do not model the axon hillock as a separate compartment — threshold crossing is computed directly from VSOMA
 - We do not model neuromodulatory inputs — threshold and gain are fixed parameters
-- We do not model subthreshold oscillations — V_soma is a simple leaky integrator
+- We do not model subthreshold oscillations — VSOMA is a simple leaky integrator
 - We do not model somatic ATP
 
 The simplifications imply that:
 
-Removing the axon hillock as a separate compartment means the threshold comparison is applied directly to V_soma rather than to a spatially distinct zone with its own channel density. In biology the hillock has a lower threshold than the soma body because of its higher Na⁺ channel density — this gradient is absent here. A single fixed threshold applied to V_soma is a reasonable approximation for a single-compartment model, but it means the model cannot capture phenomena that depend on the hillock's spatial separation from the dendritic integration zone, such as the ability of strong distal dendritic inputs to bypass somatic inhibition.
+Removing the axon hillock as a separate compartment means the threshold comparison is applied directly to VSOMA rather than to a spatially distinct zone with its own channel density. In biology the hillock has a lower threshold than the soma body because of its higher Na⁺ channel density — this gradient is absent here. A single fixed threshold applied to VSOMA is a reasonable approximation for a single-compartment model, but it means the model cannot capture phenomena that depend on the hillock's spatial separation from the dendritic integration zone, such as the ability of strong distal dendritic inputs to bypass somatic inhibition.
 
-Removing neuromodulatory inputs means the threshold and gain of the soma are fixed across the entire simulation. In biology dopamine, serotonin, and acetylcholine continuously adjust V_soma_threshold and the shape of the f-I curve in response to behavioural state. A neuron in an attentive animal fires more readily to the same input than the same neuron in a drowsy animal. This state-dependence is entirely absent — the soma responds identically to a given V_dend at all times.
+Removing neuromodulatory inputs means the threshold and gain of the soma are fixed across the entire simulation. In biology dopamine, serotonin, and acetylcholine continuously adjust VSOMA_threshold and the shape of the f-I curve in response to behavioural state. A neuron in an attentive animal fires more readily to the same input than the same neuron in a drowsy animal. This state-dependence is entirely absent — the soma responds identically to a given VDB at all times.
 
-Removing subthreshold oscillations means V_soma behaves as a simple leaky integrator between APs. In some neuron types, voltage-gated channels produce rhythmic subthreshold fluctuations that bias the timing of AP generation toward specific phases of network oscillations. These are not modelled — V_soma decays smoothly toward rest between threshold crossings.
+Removing subthreshold oscillations means VSOMA behaves as a simple leaky integrator between APs. In some neuron types, voltage-gated channels produce rhythmic subthreshold fluctuations that bias the timing of AP generation toward specific phases of network oscillations. These are not modelled — VSOMA decays smoothly toward rest between threshold crossings.
 
 ATP is a simplification of convenience — at this stage we do not comprehend the total metabolic load.
 
 ---
 
-**Appunti**:
-
-The reason the pump isn't the "timer" for the refractory period is scale.
-
-A single action potential only changes the internal sodium concentration by a fraction of 1% (approx. 0.0001 mM).
-
-The neuron does not need to "pump out" that sodium to fire again. It has enough "buffer" to fire hundreds or even thousands of times before the internal sodium concentration becomes a problem.
-
-Peer Correction: If the neuron had to wait for the pump to reset the concentration before every spike, our brains would run at about 1 Hz (1 spike per second) instead of 100–500 Hz. The pump is the "slow recharger," not the "instant reset."
-
----
-
 **Simplified behaviors**:
 
 — ms:
@@ -71,8 +66,8 @@ Peer Correction: If the neuron had to wait for the pump to reset the concentrati
 -- bAP
 -- VSOMA
 --- tau_AP_rise = 0.5 ms - Na⁺ channels open — explosive depolarisation
---- (tau_AP_fall = 1.5 ms) - V_soma falls toward V_AHP - K⁺ channels open — repolarisation
---- (tau_AHP = 5.0 ms) - V_soma recovers from V_AHP toward V_soma_reset - K⁺ channels close — after-hyperpolarisation
+--- (tau_AP_fall = 1.5 ms) - VSOMA falls toward V_AHP - K⁺ channels open — repolarisation
+--- (tau_AHP = 5.0 ms) - VSOMA recovers from V_AHP toward VSOMA_reset - K⁺ channels close — after-hyperpolarisation
 
 - V_bAP as a context is active during ?
 
@@ -94,8 +89,8 @@ Peer Correction: If the neuron had to wait for the pump to reset the concentrati
 
 - nothing in the simplified model
   (homeostatic threshold regulation would live here if added:
-   sustained low firing rate → V_soma_threshold decreases
-   sustained high firing rate → V_soma_threshold increases
+   sustained low firing rate → VSOMA_threshold decreases
+   sustained high firing rate → VSOMA_threshold increases
    this is the somatic equivalent of postsynaptic AMPA scaling —
    the neuron adjusts its own excitability to maintain a target
    firing rate in the face of changing input statistics)