README.md
Qui mettiamo la descrizione del neurone.
Da far capire le integrazioni spaziali e temporali, l'allostati, il metabolismo, la modulazione.
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.
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.
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) |