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README.md
Qui mettiamo la descrizione del neurone. Infatti l'espressione G. non e' come un programma tradizionale che puo' essere letto e capito, essendo i comportamenti omomorfi rispetto al codice. In un'espressione G. i comportamenti sono locali in tempo e spazio (contestualizzazione). Non essendoci un flusso programmatico, il commento ai comportamenti locali, non e' sufficienti a spiegare i comportamenti che sara' possibile verificare in diversi ambiti. C'e' quindi bisogno di esprimere i flussi e le chiusure che in diversi ambiti abbiamo voluto esprimere, tramite espressioni locali.
The four pillars
This framework describes a system that is not a static processor, but a living entity that balances high-speed pattern extraction based on expectations with allostatic balancing and physical transformation.
Pillar 1: The Electrical Pillar (The Integration Layer)
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Function & Reason: Pattern Extraction. The neuron acts as a spatiotemporal filter. It integrates thousands of tiny inputs across its dendritic tree (space) and within narrow windows of time. Its "output" is a declaration that a specific relevant pattern has been recognized.
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Timescale: Milliseconds (ms).
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Behaviors: Summation of Excitatory/Inhibitory Post-Synaptic Potentials (EPSPs/IPSPs), the "Tug-of-War" at the soma, and the propagation of the "Success" signal (the Spike).
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Elements Involved: -- Ions: Na+ (The "Yes" current), K+ (The "No/Reset" current). -- Hardware: Dendritic tree (The Space), VGSC/VGKC (The Timers).
Pillar 2: The Metabolic Pillar (The Constraint Layer)
- Function & Reason: Sustainability and Gradient Maintenance. This pillar provides the energy required for all other behaviors. It sets the "Hard Limit" on how much work the neuron can do.
- Timescale: Seconds to Minutes.
- Behaviors: Active transport of ions, ATP production, and "Metabolic Silencing" (shutting down to prevent death when energy is low).
- Elements Involved:
- Molecules: ATP, Glucose, Oxygen.
- Hardware: Na/K-ATPase Pump (the "Battery Recharger"), Mitochondria.
- Constraint: The
Na^+/K^+ratio.
Pillar 3: The Calcium Pillar (The Logic / Information Keeper)
- Function & Reason: Adaptation and Translation. This pillar acts as the "sensor" that monitors electrical activity and translates it into chemical signals. It keeps the "history" of the cell's workload.
- Timescale: Minutes to Hours.
- Behaviors: Homeostatic Scaling (tuning the master volume), Synaptic Plasticity (LTP/LTD), and Gain Control.
- Elements Involved:
- Ions: Calcium (
Ca^{2+}). - Hardware: Somatic VGCCs (L-type), NMDA receptors.
- Software: Calmodulin, CaMKIV (signaling proteins that "count" the calcium).
- Ions: Calcium (
Pillar 4: The Structural Pillar (The Renovation Layer)
- Function & Reason: Physical Transformation. This pillar is the actual rebuilding of the "factory" to change the neuron's fundamental capabilities. It is the physical manifestation of long-term memory and health.
- Timescale: Days to Weeks.
- Behaviors: Axon Initial Segment (AIS) translocation (moving the trigger zone), dendritic branch growth/pruning, and changes in total channel/receptor count via gene expression.
- Elements Involved:
- Structural Proteins: Actin, Microtubules, Ankyrin-G (the "anchor").
- Genetics: mRNA, Ribosomes, Transcription Factors (e.g., CREB).
What is Achieved by This Entity?
By combining these four pillars, the neuron becomes a Non-Static Adaptive Engine:
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Selective Attention: It doesn't just pass signals; it ignores noise and only "speaks" when its specific spatial and temporal requirements are met.
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Self-Regulating Sensitivity: If the patterns it is expecting become too frequent or too rare, the Calcium and Structural pillars adjust the Electrical hardware to find a new "sweet spot."
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Metabolic Wisdom: It balances the "desire" to extract patterns against the "cost" of ATP. It is an engine that tunes itself to be as efficient as possible.
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Hardware-Software Unity: Unlike a computer, where the software cannot change the CPU, the neuron's "software" (the activity patterns) physically rewrites its "hardware" (the pillars) every single day.
This is the portrait of a system that isn't just "running a program"—it is a biological machine constantly sculpting itself to become a better filter for the world it perceives.
Flussi e chiusure
Flusso da POST a SOMA
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Gli NT che arrivano a BEH-POST-AMPA aprono i AMPA che fa entrare Na che vengono integrati nella POST
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Gli Na nella POST aprono NDMA che fanno entrare Ca2+
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Ca2+ genera VPost nel DB
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L'integrazione di VPost nel DB genera VDB nel SOMA
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L'integrazione di VDB nel SOMA determina AP
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Si aprono i Canali ionici del SOMA, si genera VSOMA e refractory period (emergente)
Flusso da SOMA a POST
bAP
Flusso da SOMA a PRE
AP
Based on the computational model provided, here is the complete breakdown of all simulated behaviors, categorized by functional compartment.
Behaviors
1. Presynaptic Behaviors
- Action Potential Arrival (
V_pre): When a spike occurs, the membrane potential (V_pre_state) jumps to a peak and decays based ontau_V_pre. This profile determines the duration of ion channel opening. - Calcium Influx (
VGCC): Voltage-Gated Calcium Channels open based onV_pre_state. The flow is regulated by three "brakes": eCB (retrograde), CDI (inactivation), and mGluR (autoreceptor). - Intracellular Buffering: Free calcium (
Ca_micro) is immediately captured by buffers (B_free). As activity increases and buffers saturate, the effective calcium concentration rises faster (Metabolic Cascade 4). - Vesicle Release (NT): Neurotransmitter release is deterministic and follows a Hill equation (simulating Synaptotagmin-1 cooperativity). It is limited by the number of vesicles in the Prontly Releasable Pool (
N_RRP) and suppressed by high existing levels of NT in the cleft. - Vesicle Recycling: Vesicles move from the Reserve Pool (
N_RP) to theN_RRPat a rate determined by the calcium trace (Tr_Ca). Fast recruitment occurs during high activity; slow recruitment occurs at rest. - Calcium-Dependent Inactivation (CDI): Local calcium entering through channels causes them to close (
CDI_factor). If calcium clearance fails due to low ATP, the CDI "locks" the synapse into a silent state to prevent damage.
2. Postsynaptic Behaviors
- AMPA Activation: Released NT opens AMPA receptors, allowing Na+ influx. This generates the local excitatory post-synaptic potential (EPSP).
- Receptor Desensitization: Continuous exposure to NT reduces the sensitivity of the receptors (
Desensitization_level), mimicking the presynaptic CDI behavior to prevent over-stimulation. - NMDA Coincidence Detection: NMDA channels open only if NT is present AND the membrane is depolarized (removing the Mg2+ block). Depolarization is achieved via local AMPA drive plus the back-propagating action potential (bAP) from the soma.
- eCB Synthesis: When postsynaptic calcium (
Ca_post) crosses a specific threshold, Endocannabinoids are synthesized and sent back to the presynapse to suppress further NT release.
3. Dendritic Behaviors
- EPSP Summation: The dendritic branch (
DB) acts as a passive integrator. It collectsreceptor_conductancefrom all active spines and sums them intoV_dend. - Passive Decay:
V_denddecays over time according totau_dend, determining the temporal window in which multiple inputs can summate to trigger a somatic spike. - bAP Distribution: When the soma fires, a back-propagating Action Potential (
V_bAP) is broadcasted instantly through the dendrite to all spines to enable NMDA coincidence detection.
4. Somatic Behaviors
- Leaky Integration: The soma integrates the signal from the dendrite (
V_dend) scaled bysoma_weight. It acts as a leaky integrator with a time constant oftau_soma. - Action Potential (AP) Generation: If
V_somacrosses the threshold, a multi-phase AP is triggered:- Rising Phase: Simulated Na+ channel opening (reaches
V_AP_peak). - Falling Phase: Simulated K+ channel opening (drops to
V_AHP). - AHP Phase: Recovery from hyperpolarization back to rest.
- Rising Phase: Simulated Na+ channel opening (reaches
- Refractory Periods: After firing, the soma enters an Absolute Refractory Period (cannot fire) followed by a Relative Refractory Period (threshold is temporarily much higher).
5. Astrocytic Behaviors
- Neurotransmitter Clearance: The astrocyte actively removes NT from the synaptic cleft, governed by the
tau_NT_decayand metabolic cycles. - Glutamine Shuttle: Cleared NT is converted and recycled back to the presynaptic Reserve Pool (
RP) with a specificconversion_efficiency. - IP3 Signaling & Calcium Wave: Accumulated NT triggers IP3 production in the astrocyte. If it crosses a threshold, an astrocytic calcium wave is triggered.
- Metabolic Support: The calcium wave provides a "boost" to the
conversion_efficiency, helping the synapse recover vesicles faster during high demand.
6. Metabolic & Shared Behaviors (ATP Loop)
- ATP Consumption: Every Action Potential (Pre and Post) and every calcium pumping action (
PMCA,SERCA) drains a shared Glucose/ATP budget. - Pump Scaling: The speed of ion pumps is determined by a Hill function of available
ATP_level. Low energy leads to Pump Failure. - Metabolic Silencing: A 6-stage cascade where high firing leads to ATP depletion, which causes pump failure, leading to residual calcium, which triggers CDI, finally silencing the synapse to protect against excitotoxicity.
Logic Summary Table
| Input | Process | Output |
|---|---|---|
| NT in Cleft | AMPA / NMDA Opening | V_post (Postsynaptic Potential) |
| V_post | Dendritic Summation | V_dend (Dendritic Potential) |
| V_dend | Somatic Integration | V_soma (Somatic Potential) |
| V_soma > Threshold | Spike Kinetics | Forward AP & Retrograde bAP |
| Low ATP | Pump Failure | Synaptic Silencing (Protection) |