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# Tripartite Synapse — Biological Reference (companion to v10 pseudocode)
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> This document explains what each variable and behavior in `tripartite_synapse_v10_pseudocode.md`
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> conflates biologically. The pseudocode aggregates many molecular details into single
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> variables for clarity; here each aggregation is unpacked. Read the pseudocode for the
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> logic; read this when you need to know what a variable physically represents.
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---
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## The three synaptic components and their support structures
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A SYNAPSE is composed of three first-class components:
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- **PRE** — presynaptic bouton (the axon's terminal at this synapse)
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- **POST** — postsynaptic spine (the dendrite's terminal at this synapse)
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- **ASTRO** — astrosynapse, the perisynaptic astrocytic process (the astrocyte's terminal)
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Each has an upstream support structure that supplies it:
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- **AXON** supplies PRE (transmission + transport from soma)
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- **DEND** supplies POST (integration + transport from soma)
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- the **astrocyte cell body** supplies ASTRO (energy + ECM material)
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- **SOMA** is the integrating center and the root of neuronal material
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The compartment analogy: AXON:PRE = DEND:POST = astrocyte-body:ASTRO = supply line : terminal.
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---
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## Resource variables
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### DAY budget (one per component)
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Aggregates fast energy AND fast consumables — everything needed to run moment-to-moment.
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- **pre_budget** — ATP for VGCC gating, vesicle fusion (SNARE), VATPase vesicle refill,
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plus fast consumables: vesicle membrane lipids, synaptotagmin recycling.
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- **post_budget** — ATP for the NaK pump (membrane reset after current), NMDA current
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handling, plus fast actin monomers for transient spine changes and receptor-recycling lipids.
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- **dend_budget** — ATP for bAP propagation (NaK reset along branch), local translation
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(ribosome running cost), SERCA Ca²⁺ resequestration, plus fast mRNA consumed by translation.
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- **soma_budget** — ATP for AP generation (Na⁺/K⁺ currents + NaK reset), CREB
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phosphorylation, nuclear Ca²⁺ handling, plus shipping running costs.
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- **axon_budget** — ATP for AP propagation at nodes of Ranvier, kinesin/dynein motor
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running cost, fast myelin maintenance.
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- **astro_central_budget** — ATP from glycolysis at the astrocyte cell body; funds EAAT
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clearance, serine→D-serine synthesis, lactate export, fast process motility.
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### astro_lactate[i]
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Lactate exported from the astrocyte cell body to synapse i. Biologically: glucose →
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(glycolysis) → lactate, released into extracellular space, absorbed by neuronal MCT2
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transporters, converted to pyruvate → TCA → ATP in the neuron's mitochondria. The astrocyte
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is the primary fast-energy supplier to pre, post, and dend.
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### NIGHT energy (one per component) — NOT recoverable
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ATP for structural assembly. Distinct from DAY budget because it is spent on building, and
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the work of assembly is thermodynamically gone once done (cannot be recovered by disassembly).
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- pre_energy: RIM/Munc13 incorporation, VGCC clustering.
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- post_energy: CaMKII anchoring, actin polymerization, PSD scaffold remodeling.
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- dend_energy: mitochondria incorporation, cytoskeletal reinforcement.
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- soma_energy: ribosome biogenesis, ion-channel incorporation.
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- axon_energy: myelination, microtubule stabilization.
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- astro_energy: process retraction, ECM secretion, racemase upregulation.
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### NIGHT material (one per component) — RECOVERABLE
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Slow structural proteins. Recoverable because disassembly (LTD) returns the proteins to a
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reusable pool (ubiquitin-proteasome → amino acids; internalized receptors → endosomal reserve).
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- **soma_material** (root) — all neuronal structural proteins from CREB-driven synthesis:
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AMPA subunits, PSD scaffold, AZ scaffold, mRNA transcripts (Arc, BDNF), organelles.
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- **dend_material** — from soma: Arc/plasticity mRNA, mitochondria, cytoskeletal proteins,
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AMPA subunits in transit to spines.
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- **post_material** — from dend: AMPA receptor subunits (GluA1/2), PSD scaffold (PSD-95,
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SHANK, Homer), structural actin, CaMKII.
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- **axon_material** — from soma: kinesin/dynein motors, microtubule components, myelin proteins.
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- **pre_material** — from axon: RIM, Munc13, VGCC subunits, structural vesicle proteins.
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- **astro_material** (root: astrocyte cell body) — EAAT proteins, serine racemase, ECM
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proteins (Glypicans, Thrombospondins), process cytoskeleton.
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**Why energy and material are separate in NIGHT but combined in DAY:** during DAY both are
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fast consumables replenished on the same timescale, so one `budget` variable suffices. During
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NIGHT they diverge — material is recoverable after LTD, energy is not — so they must be two
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variables. This asymmetry (material returns to the pool, energy is gone) is what makes one
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synapse's depression genuinely fund another's potentiation.
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---
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## Structural variables (strength ceilings — written in NIGHT)
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Each aggregates several correlated structural properties into one capacity.
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- **pre_structure** — active zone capacity:
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slot_ceiling (number of vesicle docking slots) + VGCC_coupling (Ca²⁺-channel proximity to
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slots, sets release efficiency) + refill_ceiling (max RRP replenishment rate).
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- **post_structure** — spine sensitivity capacity:
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slot_ceiling (number of PSD anchoring slots for AMPA) + spine_volume (local reserve and
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actin machinery) + reserve_ceiling (endosomal AMPA pool size).
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- **dend_structure** — branch capacity:
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bAP_fidelity(position) (mitochondrial density sets propagation strength, attenuates with
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distance) + translation_ceiling (local mRNA capacity) + transport_speed (cytoskeletal integrity).
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- **soma_structure** — somatic output capacity:
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baseline_threshold (inverse: ion-channel density at axon initial segment) + AP_reliability
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(Na⁺ channel density) + synthesis_ceiling (ribosome density + CREB machinery).
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- **axon_structure** — axonal capacity:
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propagation reliability (myelination density) + transport_ceiling (motor density + microtubule
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integrity) + mitochondrial density.
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- **astro_structure** — astrosynaptic environmental capacity:
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perisynaptic_distance⁻¹ (wall proximity — closer = more glutamate contained) + EAAT_density
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(clearance ceiling) + Dserine_tonic (baseline co-agonist) + ECM_integrity.
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**Self-reinforcing both directions:** tighter wrap + more tonic D-serine make future
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potentiation easier; looser wrap + zero tonic D-serine make future depression easier.
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---
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## Budget ceilings (endurance ceilings — written in NIGHT)
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- **{component}_budget_ceiling** — the maximum fuel the component can hold / the maximum
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duration of sustained behavior. Biologically: mitochondrial density and local fuel-storage
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capacity. Built by activity-driven mitochondrial biogenesis; lost by mitophagy when idle.
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Parallel to structure: structure is strength capacity, budget_ceiling is endurance capacity.
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---
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## Trace variables
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### fast_trace (one per component) — DAY only, decays automatically
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The local record of recent activity that biases the next behavior.
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- **pre_fast_trace** — residual presynaptic Ca²⁺ after spikes (τ≈100ms). Biases NT release
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(facilitation) and provides tagging eligibility.
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- **post_fast_trace** — spine Ca²⁺ amplitude × rise-speed (τ≈tens ms). Encodes the LTP-vs-LTD
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instruction (fast rise → CaMKII → potentiation; slow rise → phosphatase → depression).
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- **dend_fast_trace** — branch Ca²⁺ from bAP + spine spillover (τ≈300ms). Integrates branch co-activity.
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- **soma_fast_trace** — nuclear Ca²⁺ from each AP (τ≈seconds). Drives toward CREB activation.
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- **axon_fast_trace** — propagation load (τ≈seconds). High load → Na⁺ inactivation at branch
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points → propagation failure (this is axonal short-term depression).
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- **astro_fast_trace** — perisynaptic Ca²⁺ from mGluR5 activation by glutamate spillover
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(τ≈seconds). Drives D-serine release.
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### soma timing traces (emergent refractory + adaptation + alignment)
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- **soma_Na_inactivation** (τ≈ms) — sodium-channel inactivation after an AP. Its recovery IS
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the refractory period (emergent, not a hardcoded timer). High → absolute refractory; decaying
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→ relative refractory; recovered → normal.
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- **soma_adaptation** (τ≈100s of ms) — slow K⁺ channel (SK/M-type) activation accumulating
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over a spike train, raising threshold. This is spike-frequency adaptation.
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- **soma_refractory_alignment** — deposited when a suprathreshold input arrives during
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refractoriness (a missed coincidence). Speeds future recovery so the soma aligns to its input
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rhythm. Bottom-up: no rhythm is represented; alignment emerges from accumulated local
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mismatches and decays when mismatches stop (self-limiting).
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### possible_tag (one per component) — intermediate, τ≈s–min
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Graded accumulation of tagging eligibility. For POST, this is the CANDIDATE tag lifetime.
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### endurance_need (one per component) — intermediate, τ≈s–min
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Deposited when budget depletion interrupts a behavior that was on a LOCALLY successful
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trajectory. Records that fuel — not structure, not significance — was the binding constraint
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on a forming success. Requires NO dopamine (homeostatic, not associative).
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**Local success proxy per component** (each uses only its own state + arrived signals):
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- PRE: own fast_trace high (was releasing strongly), optionally amplified by retrograde
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messenger (endocannabinoid / NO / BDNF) that has arrived.
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- POST: own Ca²⁺ climbing toward tagging threshold (naturally local).
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- DEND: own branch strongly active (high branch voltage/Ca²⁺) when propagation fell short.
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- SOMA: own nuclear Ca²⁺ climbing toward CREB.
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- AXON: own propagation load high (was carrying a strong train).
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- ASTRO: own local glutamate/Ca²⁺ high (was under heavy clearance/D-serine demand).
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### tag (one per component) — DAY→NIGHT bridge, τ≈hours
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The validated record of significance that survives to NIGHT and gates strength commits.
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Formed by coincidence of local eligibility + non-local validation (dopamine).
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**POST is special — two-phase, three coincidences:**
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- CANDIDATE: local Ca²⁺ above threshold + astrosynapse D-serine present (coincidence 1).
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- amplified when bAP confirms soma fired (coincidence 2).
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- STABLE: CANDIDATE + dopamine within stabilization window (coincidence 3).
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Biologically: early CaMKII creates a labile tag (early-LTP); PKA driven by dopamine via D1R
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stabilizes it (late-LTP). Without dopamine, the candidate degrades — early-LTP reverses.
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---
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## Behaviors — biological meaning
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### PRE | AP — neurotransmitter release
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`NT_flux = RRP × sat(pre_fast_trace, K_release)` models continuous NT release proportional to
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the readily-releasable pool and a saturating Ca²⁺ drive (synaptotagmin's cooperative Ca²⁺
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sensitivity, simplified to a saturating curve). RRP depletes as released (short-term depression
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as a consequence) and refills via VATPase (energy-throttled, so low budget deepens depression).
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The mGluR2/3 brake is presynaptic autoinhibition by spillover (Gi → reduced VGCC opening).
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### POST | NOT_bAP — three calcium sources, two plasticity cases
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- **Source 1 (AMPA):** glutamate opens AMPA → depolarizing current + small Ca²⁺; the
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depolarization begins ejecting the NMDA Mg²⁺ block.
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- **Source 2 (NMDA):** if depolarized enough (Mg²⁺ ejected) AND D-serine present (astrocyte
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co-agonist) AND glutamate bound → large Ca²⁺ influx. This is the coincidence detector.
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- **Source 3 (bAP, separate context):** back-propagating AP adds depolarization + Ca²⁺,
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amplifying an existing signal supralinearly.
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- **Case 1 (STP):** high Ca²⁺ drives AMPA receptors from the local reserve to the surface,
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bounded by the anchoring-slot ceiling. Fast, reversible, NO dopamine. When Ca²⁺ falls,
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receptors drift back — short-term depression as a passive consequence, never signaled.
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- **Case 2 (LTP tag):** high Ca²⁺ + (later) dopamine sets the tag that NIGHT uses to raise the
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slot ceiling. NIGHT builds slots; DAY fills them.
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### DEND | bAP — bidirectional signaling
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Propagates the bAP from soma toward spines (fidelity attenuates with distance — distal spines
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get weaker confirmation, are harder to potentiate) and integrates spine signals toward the soma.
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### SOMA | AP — integration, firing, emergent timing
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Fires when integrated branch input exceeds a threshold that is the baseline (from structure)
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raised by adaptation and modulated by neuromodulators, gated by the emergent refractory state.
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Each AP deposits three traces (inactivation → refractory, adaptation → threshold rise, nuclear
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Ca²⁺ → plasticity). The soma is the coincidence detector at the cellular scale (nuclear Ca²⁺ +
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dopamine → CREB), and the production bottleneck: its tag gates how much material all downstream
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components get in NIGHT.
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### AXON | AP — reliable propagation with frequency-dependent failure
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Propagation reliability is set by myelination and degraded by high-frequency load (Na⁺
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inactivation at branch points = axonal STD). The axon also transports material to boutons and
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sets the timescale of presynaptic structural commits.
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### ASTRO | CONTINUOUS — gatekeeper and energy hub
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Clears glutamate (EAAT), supplies D-serine (the NMDA co-agonist that gates postsynaptic LTP),
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and distributes lactate to the territory by demand-weighting (active synapses generating more
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clearance load pull more fuel; slow synapses get less). The same spillover that excites the
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astrocyte (mGluR5 → Ca²⁺ → D-serine) also brakes the presynapse (mGluR2/3 → Gi) — one signal,
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opposite effects via different receptors. The astrocyte is the energy root and the gain control
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of the whole synapse.
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---
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## NIGHT operations — biological meaning
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- **Step 1 (replenish/distribute):** overnight protein synthesis peaks (CREB-driven, gated by
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soma_tag — corresponds to slow-wave-sleep replay). Soma material flows to branches/axon then
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spines/boutons; astrocyte material flows to astrosynapses, tag-weighted.
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- **Step 2 (strength commits):** tagged components build structure — more slots, tighter
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coupling, tighter astrosynaptic wrap. Coherence bonus when pre+post+astro all tagged (the
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whole synapse agrees). astro_structure self-reinforces.
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- **Step 2b (endurance commits):** components with high endurance_need build budget_ceiling —
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mitochondrial biogenesis. Competes with step 2 for the same material/energy.
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- **Step 3 (passive decay):** both ceilings decay; maintenance from the remaining pool resists
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decay only where sufficient. Depotentiation and endurance-loss are both by neglect — no
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signal weakens anything; unmaintained capacity simply drifts down. Recovered material (not
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energy) returns to pools.
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- **Step 4 (homeostatic scaling):** if the soma fired too much overall, all synapses scale down
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proportionally (sleep-associated global downscaling), preserving relative differences.
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- **Step 5 (clear traces):** fast traces, possible tags, endurance needs, and soma timing traces
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reset; tags below expiry clear, above-expiry tags carry forward (multi-night consolidation);
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structure and budget_ceiling persist.
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### Shockwave lockdown
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Emergency global astrocytic Ca²⁺ wave → GABA + ATP release → mass AMPA internalization and
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hyperpolarization. Bypasses budget gates. A circuit breaker against runaway excitation.
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@@ -0,0 +1,432 @@
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# Tripartite Synapse — Pseudocode v10
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> Companion document: `tripartite_synapse_v10_biology.md` explains the biological
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> meaning of every variable and behavior. This document is the logic only.
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---
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## Conventions
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```
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SCOPE = { DAY, NIGHT }
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CONTEXT = { AP, NOT_AP, bAP, NOT_bAP, CONTINUOUS }
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COMPONENTS = { PRE, POST, DEND, SOMA, AXON, ASTRO }
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DAY variables
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budget fast resource (energy + consumables), consumed by behavior
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fast_trace local record, decays in ms–s, biases next behavior
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possible_tag accumulates from fast_trace, decays in s–min
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endurance_need accumulates on interrupted local success, decays in s–min
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DAY→NIGHT bridge
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tag decays in hours; POST: CANDIDATE → STABLE
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NIGHT variables
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energy assembly ATP, NOT recoverable
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material structural proteins, RECOVERABLE after decay
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structure strength ceiling — READ in DAY, WRITTEN in NIGHT
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budget_ceiling endurance ceiling — READ in DAY, WRITTEN in NIGHT
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LOCALITY RULE
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every evaluation uses only local state + signals that have arrived.
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no component reads another compartment's internal state.
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```
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---
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## Saturating form (used wherever a graded signal drives output)
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```
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sat(x, K) = x / (K + x)
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```
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---
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## Fixed parameters
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```
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K_release K_AMPA K_Dserine
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Mg_eject Ca_STP Ca_TAG
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elig dop_thr tag_thr tag_expiry
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traj_thr endur_thr
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spillover inactivation overload
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homeostatic_ceiling decay_rate capacity_decay_rate recycle
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dopamine NE ACh // organism broadcast (external)
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glucose // vascular ceiling (external)
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geometry // dendritic topology (external)
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```
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---
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---
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# DAY
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Execution contexts (AP, bAP, CONTINUOUS): run behavior, spend budget, deposit traces.
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Replenishment contexts (NOT_AP, NOT_bAP): competitive refill, ship downstream, decay traces, set tags.
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---
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## Shared competitive replenishment (used by all NOT contexts)
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```
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refill(component c from supply S):
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demand = c.budget_ceiling - c.budget // claim = gap to ceiling
|
||||||
|
total = Σ demand over components on S
|
||||||
|
factor = min(1, S / (total + ε))
|
||||||
|
c.budget += demand × factor // never exceeds ceiling
|
||||||
|
S -= demand × factor
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## PRE
|
||||||
|
|
||||||
|
```
|
||||||
|
DAY | AP:
|
||||||
|
if pre_budget < release_cost:
|
||||||
|
suppress(NT_flux)
|
||||||
|
if pre_fast_trace > traj_thr: // LOCAL success: I released strongly
|
||||||
|
pre_endurance_need += pre_fast_trace × (1 + retrograde_local)
|
||||||
|
exit
|
||||||
|
pre_fast_trace += spike_Ca(input_freq); pre_fast_trace *= decay(100ms)
|
||||||
|
drive = sat(pre_fast_trace, K_release)
|
||||||
|
if RRP > 0:
|
||||||
|
NT_flux = RRP × drive
|
||||||
|
glutamate += NT_flux·Δt; RRP -= NT_flux·Δt; pre_budget -= NT_flux·fusion_cost
|
||||||
|
RRP += min(refill_rate, pre_structure.refill_ceiling)·Δt
|
||||||
|
RRP = clamp(RRP, 0, pre_structure.slot_ceiling)
|
||||||
|
pre_budget -= RRP_refill·vatpase_cost
|
||||||
|
if glutamate > spillover: drive *= brake
|
||||||
|
|
||||||
|
DAY | NOT_AP:
|
||||||
|
pre_fast_trace *= decay(100ms); pre_endurance_need *= decay(min)
|
||||||
|
refill(pre from astro_lactate[syn] + axon_ship_pre)
|
||||||
|
RRP += min(refill_rate, pre_structure.refill_ceiling)·Δt
|
||||||
|
RRP = clamp(RRP, 0, pre_structure.slot_ceiling)
|
||||||
|
if pre_fast_trace > elig: pre_possible_tag += pre_fast_trace
|
||||||
|
pre_possible_tag *= decay(s); dopamine *= decay(ms)
|
||||||
|
if dopamine > dop_thr and pre_possible_tag > tag_thr:
|
||||||
|
pre_tag += dopamine × pre_possible_tag
|
||||||
|
pre_tag *= decay(hr)
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## POST
|
||||||
|
|
||||||
|
```
|
||||||
|
DAY | NOT_bAP:
|
||||||
|
refill(post from astro_lactate[syn] + dend_ship_post)
|
||||||
|
|
||||||
|
// SOURCE 1 — AMPA: current + small Ca + begins Mg ejection
|
||||||
|
a = sat(glutamate, K_AMPA)
|
||||||
|
AMPA_current = a × AMPA_surface; Vm += AMPA_current
|
||||||
|
post_fast_trace += AMPA_Ca·AMPA_current; post_budget -= AMPA_cost
|
||||||
|
|
||||||
|
// SOURCE 2 — NMDA: large Ca if local coincidence
|
||||||
|
if Vm > Mg_eject and astro_Dserine > thr and glutamate > 0:
|
||||||
|
post_fast_trace += NMDA_Ca(glutamate)·rise_speed(); post_budget -= NMDA_cost
|
||||||
|
|
||||||
|
post_fast_trace *= decay(ms)
|
||||||
|
|
||||||
|
// CASE 1 — short-term potentiation: fill slots (no dopamine)
|
||||||
|
if post_fast_trace > Ca_STP:
|
||||||
|
AMPA_surface = min(AMPA_surface + Ca_insert(post_fast_trace),
|
||||||
|
post_structure.slot_ceiling)
|
||||||
|
post_budget -= traffic_cost
|
||||||
|
else:
|
||||||
|
AMPA_surface = max(AMPA_surface - drift·Δt, baseline) // STD = consequence
|
||||||
|
|
||||||
|
// interrupted success (LOCAL: my Ca was climbing toward a tag)
|
||||||
|
if post_budget < req_cost and post_fast_trace > traj_thr and post_fast_trace_rising:
|
||||||
|
post_endurance_need += post_fast_trace
|
||||||
|
|
||||||
|
// CASE 2 — tagging CANDIDATE
|
||||||
|
if post_fast_trace > Ca_TAG: post_possible_tag += post_fast_trace
|
||||||
|
post_possible_tag *= decay(min); post_endurance_need *= decay(min)
|
||||||
|
post_budget -= pka_cost
|
||||||
|
dopamine *= decay(ms)
|
||||||
|
if dopamine > dop_thr and post_possible_tag > tag_thr:
|
||||||
|
post_tag += dopamine × post_possible_tag // STABLE
|
||||||
|
post_tag *= decay(hr)
|
||||||
|
|
||||||
|
DAY | bAP:
|
||||||
|
// SOURCE 3 — bAP: depolarization + Ca, amplifies existing signal
|
||||||
|
Vm += bAP_depol × dend_structure.bAP_fidelity; post_budget -= bAP_cost
|
||||||
|
if post_possible_tag > Ca_TAG: post_fast_trace += bAP_Ca_boost()
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## DEND
|
||||||
|
|
||||||
|
```
|
||||||
|
DAY | bAP:
|
||||||
|
bAP_local, reached = propagate(SOMA.fired, dend_structure.bAP_fidelity,
|
||||||
|
dend_budget, geometry)
|
||||||
|
dend_budget -= prop_cost × reached
|
||||||
|
// interrupted success (LOCAL: my branch was strongly active)
|
||||||
|
if reached < full and dend_fast_trace > traj_thr:
|
||||||
|
dend_endurance_need += dend_fast_trace
|
||||||
|
dend_fast_trace += bAP_Ca(bAP_local) + spine_spillover(); dend_fast_trace *= decay(300ms)
|
||||||
|
dend_budget -= branch_Ca_cost
|
||||||
|
branch_Vm = integrate(POST.Vm, spines); dend_budget -= integrate_cost
|
||||||
|
|
||||||
|
DAY | NOT_bAP:
|
||||||
|
dend_fast_trace *= decay(300ms); dend_endurance_need *= decay(min)
|
||||||
|
refill(dend from astro_lactate[branch] + soma_ship_dend)
|
||||||
|
ship(dend_budget → post_budget, gap_to(post))
|
||||||
|
if dend_fast_trace > elig: dend_possible_tag += dend_fast_trace
|
||||||
|
dend_possible_tag *= decay(s); dopamine *= decay(ms)
|
||||||
|
if dopamine > dop_thr and dend_possible_tag > tag_thr:
|
||||||
|
dend_tag += dopamine × dend_possible_tag
|
||||||
|
dend_tag *= decay(hr)
|
||||||
|
if dend_tag > tag_expiry and dend_budget > translate_cost:
|
||||||
|
dend_budget -= translate_cost
|
||||||
|
commit_threshold *= 1/(1 + ACh·gain)
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## SOMA
|
||||||
|
|
||||||
|
```
|
||||||
|
DAY | AP:
|
||||||
|
threshold = soma_structure.baseline / (1) // baseline strength
|
||||||
|
× (1 + soma_adaptation)
|
||||||
|
× neuromod(NE, ACh)
|
||||||
|
can_fire = soma_Na_inactivation < inactivation
|
||||||
|
if branch_Vm > threshold and can_fire:
|
||||||
|
if soma_budget < ap_cost:
|
||||||
|
// interrupted success (LOCAL: nuclear Ca climbing toward CREB)
|
||||||
|
if soma_fast_trace > traj_thr and soma_fast_trace_rising:
|
||||||
|
soma_endurance_need += soma_fast_trace
|
||||||
|
exit
|
||||||
|
fired = True; soma_budget -= ap_cost
|
||||||
|
soma_Na_inactivation += ap_amp // → refractory (emergent)
|
||||||
|
soma_adaptation += ap_contrib // → threshold rise
|
||||||
|
soma_fast_trace += nuclear_Ca() // → plasticity
|
||||||
|
soma_budget -= nuclear_cost
|
||||||
|
if soma_fast_trace > elig: soma_possible_tag += soma_fast_trace
|
||||||
|
soma_possible_tag *= decay(s); dopamine *= decay(ms)
|
||||||
|
if dopamine > dop_thr and soma_possible_tag > tag_thr:
|
||||||
|
soma_tag += dopamine × soma_possible_tag
|
||||||
|
soma_tag *= decay(hr); soma_budget -= creb_cost
|
||||||
|
|
||||||
|
DAY | NOT_AP:
|
||||||
|
// bottom-up alignment: suprathreshold input during refractory (LOCAL)
|
||||||
|
if branch_Vm > threshold and soma_Na_inactivation > inactivation:
|
||||||
|
soma_refractory_alignment += (branch_Vm - threshold) × soma_Na_inactivation
|
||||||
|
recovery = base_recovery × (1 + soma_refractory_alignment)
|
||||||
|
soma_Na_inactivation *= decay(τ_Na / recovery)
|
||||||
|
soma_adaptation *= decay(τ_adapt)
|
||||||
|
soma_fast_trace *= decay(τ_nuclear)
|
||||||
|
soma_refractory_alignment *= decay(τ_align) // self-limiting
|
||||||
|
soma_endurance_need *= decay(min)
|
||||||
|
soma_budget += mito_output·Δt // self-replenish (root)
|
||||||
|
branch_Vm = integrate(DEND.branch_Vm, branches)
|
||||||
|
ship(soma_budget → dend_budget, gap_to(dend))
|
||||||
|
ship(soma_budget → axon_budget, gap_to(axon))
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## AXON
|
||||||
|
|
||||||
|
```
|
||||||
|
DAY | AP:
|
||||||
|
reliability = axon_structure.propagation × (1 - fail(axon_fast_trace))
|
||||||
|
if axon_budget < prop_cost:
|
||||||
|
reliability *= budget_factor
|
||||||
|
// interrupted success (LOCAL: I was propagating a strong train)
|
||||||
|
if axon_fast_trace > traj_thr:
|
||||||
|
axon_endurance_need += axon_fast_trace
|
||||||
|
delivered = fired × reliability; axon_budget -= prop_cost × delivered
|
||||||
|
axon_fast_trace += delivered; axon_fast_trace *= decay(s)
|
||||||
|
|
||||||
|
DAY | NOT_AP:
|
||||||
|
axon_fast_trace *= decay(s); axon_endurance_need *= decay(min)
|
||||||
|
refill(axon from soma_ship_axon + astro_lactate[shaft])
|
||||||
|
ship(axon_budget → pre_budget, gap_to(pre))
|
||||||
|
if axon_fast_trace > elig: axon_possible_tag += axon_fast_trace
|
||||||
|
axon_possible_tag *= decay(s); dopamine *= decay(ms)
|
||||||
|
if dopamine > dop_thr and axon_possible_tag > tag_thr:
|
||||||
|
axon_tag += dopamine × axon_possible_tag
|
||||||
|
axon_tag *= decay(hr)
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## ASTRO
|
||||||
|
|
||||||
|
```
|
||||||
|
DAY | CONTINUOUS:
|
||||||
|
astro_central_budget += glycolysis(glucose)·Δt // root, capped by glucose
|
||||||
|
|
||||||
|
// demand-weighted lactate allocation across territory
|
||||||
|
for each astrosynapse i:
|
||||||
|
demand[i] = clearance_load[i] × astro_structure[i].delivery_eff
|
||||||
|
factor = min(1, astro_central_budget / (Σ demand · lactate_cost + ε))
|
||||||
|
for each i:
|
||||||
|
astro_lactate[i] = demand[i] × factor
|
||||||
|
astro_central_budget -= astro_lactate[i] × lactate_cost
|
||||||
|
|
||||||
|
// per-astrosynapse fast operation (synapse i)
|
||||||
|
glutamate[i] -= astro_structure[i].EAAT × glutamate[i]·Δt
|
||||||
|
astro_central_budget -= clearance × EAAT_cost
|
||||||
|
astro_Dserine[i] += astro_structure[i].Dserine_tonic·Δt
|
||||||
|
|
||||||
|
if glutamate[i] > spillover:
|
||||||
|
astro_fast_trace[i] += mGluR_Ca(); astro_fast_trace[i] *= decay(s)
|
||||||
|
want = sat(astro_fast_trace[i], K_Dserine) × Ds_max
|
||||||
|
got = min(want, astro_central_budget × Ds_frac)
|
||||||
|
// interrupted success (LOCAL: I was under high demand)
|
||||||
|
if got < want and astro_fast_trace[i] > traj_thr:
|
||||||
|
astro_endurance_need[i] += (want - got)
|
||||||
|
astro_Dserine[i] += got; astro_central_budget -= got × Ds_cost
|
||||||
|
drive_pre[i] *= brake // same signal, PRE brake
|
||||||
|
if astro_fast_trace[i] > elig: astro_possible_tag[i] += astro_fast_trace[i]
|
||||||
|
astro_possible_tag[i] *= decay(s); dopamine *= decay(ms)
|
||||||
|
if dopamine > dop_thr and astro_possible_tag[i] > tag_thr:
|
||||||
|
astro_tag[i] += dopamine × astro_possible_tag[i]
|
||||||
|
astro_tag[i] *= decay(hr)
|
||||||
|
astro_endurance_need[i] *= decay(min)
|
||||||
|
if astro_fast_trace[i] > overload: trigger(lockdown)
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## Special — Shockwave Lockdown
|
||||||
|
|
||||||
|
```
|
||||||
|
DAY or NIGHT | OVERLOAD:
|
||||||
|
Vm = HYPERPOLARIZED; AMPA_surface = mass_internalize() → post reserve
|
||||||
|
axon_fast_trace += overdrive(); astro_central_budget -= emergency_cost
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
---
|
||||||
|
# NIGHT
|
||||||
|
|
||||||
|
Build ceilings (structure = strength, budget_ceiling = endurance) from DAY evidence.
|
||||||
|
Two economies (energy: astrocyte→astrosynapse ; material: soma→spine/bouton) compete.
|
||||||
|
Unmaintained ceilings decay; recovered material funds the rest.
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## Step 1 — Replenish and distribute
|
||||||
|
|
||||||
|
```
|
||||||
|
NIGHT | 1:
|
||||||
|
// energy economy (astrocyte central → astrosynapses, tag-weighted)
|
||||||
|
astro_central_budget += overnight_glycolysis(glucose)·Δt
|
||||||
|
astro_central_energy += overnight_astro_energy()·Δt
|
||||||
|
astro_central_material += astro_cellbody_synth()·Δt
|
||||||
|
W = Σ astro_tag[i] over astro_tag[i] > tag_expiry
|
||||||
|
for each i with astro_tag[i] > tag_expiry:
|
||||||
|
w = astro_tag[i]/W
|
||||||
|
astro_energy[i] += astro_central_energy × w
|
||||||
|
astro_material[i] += astro_central_material × w
|
||||||
|
|
||||||
|
// material economy (soma → branch/axon → spine/bouton)
|
||||||
|
soma_budget += overnight_mito()·Δt
|
||||||
|
soma_energy += overnight_soma_energy()·Δt
|
||||||
|
soma_material += CREB_synth(soma_tag)·Δt // bottleneck
|
||||||
|
|
||||||
|
dend_material += soma_material × f_dend; axon_material += soma_material × f_axon
|
||||||
|
soma_material -= (f_dend + f_axon)·soma_material
|
||||||
|
post_material += dend_material × f_spine; dend_material -= f_spine·dend_material
|
||||||
|
pre_material += axon_material × f_bouton; axon_material -= f_bouton·axon_material
|
||||||
|
|
||||||
|
{pre,post,dend,axon}_energy += soma_energy × f_energy[·]
|
||||||
|
{pre,post,dend,axon}_budget += astro_lactate_reserve × f[·]·Δt
|
||||||
|
```
|
||||||
|
|
||||||
|
## Step 2 — Strength commits (raise structure)
|
||||||
|
|
||||||
|
```
|
||||||
|
NIGHT | 2:
|
||||||
|
coherence = (pre_tag, post_tag, astro_tag all > tag_expiry) ? bonus : 1
|
||||||
|
|
||||||
|
for each component c with c_tag > tag_expiry:
|
||||||
|
Δ = min(slot_cost, c_material, c_energy × f)
|
||||||
|
c_structure += Δ × (coherence if c in {pre,post,astro} else 1)
|
||||||
|
c_material -= Δ; c_energy -= Δ × assembly_cost
|
||||||
|
if Δ < slot_cost: queue(c_strength_deficit → next NIGHT)
|
||||||
|
// astro_structure self-reinforcing: higher → future LTP easier
|
||||||
|
```
|
||||||
|
|
||||||
|
## Step 2b — Endurance commits (raise budget_ceiling)
|
||||||
|
|
||||||
|
```
|
||||||
|
NIGHT | 2b:
|
||||||
|
// driven by endurance_need (interrupted local success), NO dopamine
|
||||||
|
// competes with step 2 for the SAME material + energy
|
||||||
|
for each component c with c_endurance_need > endur_thr:
|
||||||
|
Δ = min(cap_cost, c_material × f_cap, c_energy × f_cap)
|
||||||
|
c_budget_ceiling += Δ
|
||||||
|
c_material -= Δ; c_energy -= Δ × biogenesis_cost
|
||||||
|
if Δ < cap_cost: queue(c_endurance_deficit → next NIGHT)
|
||||||
|
```
|
||||||
|
|
||||||
|
## Step 3 — Passive decay (both ceilings, by neglect)
|
||||||
|
|
||||||
|
```
|
||||||
|
NIGHT | 3:
|
||||||
|
remaining = total_material - consumed_by_commits
|
||||||
|
maint = remaining × maint_frac / synapse_count
|
||||||
|
|
||||||
|
for each synapse:
|
||||||
|
{pre,post,dend,astro}_structure -= decay_rate·Δt
|
||||||
|
{pre,post,dend,astro}_budget_ceiling -= capacity_decay_rate·Δt
|
||||||
|
if maint ≥ maint_cost:
|
||||||
|
structure += full_maint; budget_ceiling += full_cap_maint
|
||||||
|
else:
|
||||||
|
structure += maint × frac; budget_ceiling += maint × cap_frac
|
||||||
|
// both drift down — depotentiation / endurance-loss by neglect
|
||||||
|
|
||||||
|
for each synapse with net_change < 0:
|
||||||
|
rec = |net_change| × recycle
|
||||||
|
{pre,post,astro}_material += rec × frac // material recovered, energy not
|
||||||
|
```
|
||||||
|
|
||||||
|
## Step 4 — Homeostatic scaling
|
||||||
|
|
||||||
|
```
|
||||||
|
NIGHT | 4:
|
||||||
|
if soma_tag > homeostatic_ceiling:
|
||||||
|
s = homeostatic_ceiling / soma_tag
|
||||||
|
for each synapse:
|
||||||
|
post_structure.slot_ceiling *= s; pre_structure.slot_ceiling *= s
|
||||||
|
soma_material += Σ reduction × recycle
|
||||||
|
```
|
||||||
|
|
||||||
|
## Step 5 — Clear traces
|
||||||
|
|
||||||
|
```
|
||||||
|
NIGHT | 5:
|
||||||
|
all fast_trace = 0; all possible_tag = 0; all endurance_need = 0
|
||||||
|
soma_Na_inactivation = soma_adaptation = soma_refractory_alignment = 0
|
||||||
|
for each tag: if tag < tag_expiry: tag = 0 // else carry forward
|
||||||
|
// structure and budget_ceiling PERSIST
|
||||||
|
```
|
||||||
|
|
||||||
|
---
|
||||||
|
|
||||||
|
## One-view summary
|
||||||
|
|
||||||
|
```
|
||||||
|
DAY behavior runs within structure (strength) and budget_ceiling (endurance),
|
||||||
|
both filled by competition; consumes budget; deposits fast_trace.
|
||||||
|
fast_trace + non-local coincidence → tag (strength evidence)
|
||||||
|
depletion + interrupted LOCAL success → endurance_need (endurance evidence)
|
||||||
|
traces decay in NOT/CONTINUOUS contexts.
|
||||||
|
|
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|
NIGHT tag → raise structure
|
||||||
|
endurance_need → raise budget_ceiling
|
||||||
|
both draw the SAME material + energy → strength and endurance compete
|
||||||
|
unmaintained ceilings decay → freed material funds the rest.
|
||||||
|
|
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|
LOCALITY every evaluation uses only local state + arrived signals.
|
||||||
|
cross-compartment influence travels only as signals that become local.
|
||||||
|
```
|
||||||
File diff suppressed because it is too large
Load Diff
Reference in New Issue
Block a user