Circuit Interface Layer - Nebuchadnezzar Integration

Core Philosophy

“Membranes define the circuit topology; ATP consumption drives the dynamics”

The Circuit Interface Layer serves as the bridge between biophysical membrane dynamics and Nebuchadnezzar’s hierarchical probabilistic electric circuit system, operating under metacognitive orchestrator supervision. This layer translates membrane properties into dynamic circuit parameters, updates circuit topology based on membrane changes, and enables bidirectional coupling between ATP consumption and membrane dynamics using dx/dATP equations.

Architecture Overview

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┌─────────────────────────────────────────────────────────────────────────┐
│                    CIRCUIT INTERFACE LAYER                             │
├─────────────────────────────────────────────────────────────────────────┤
│                                                                         │
│  ┌─────────────────────────────────────────────────────────────────┐   │
│  │               MEMBRANE → CIRCUIT MAPPING                       │   │
│  │                                                                 │   │
│  │  ┌──────────────────┐    ┌──────────────────┐    ┌───────────┐ │   │
│  │  │ Lipid Bilayer    │───►│ RC Circuits      │───►│ Circuit   │ │   │
│  │  │ Properties       │    │ (Dynamic)        │    │ Topology  │ │   │
│  │  └──────────────────┘    └──────────────────┘    └───────────┘ │   │
│  │                                                                 │   │
│  │  ┌──────────────────┐    ┌──────────────────┐    ┌───────────┐ │   │
│  │  │ Membrane         │───►│ Active Circuit   │───►│ ATP       │ │   │
│  │  │ Proteins         │    │ Elements         │    │ Coupling  │ │   │
│  │  └──────────────────┘    └──────────────────┘    └───────────┘ │   │
│  └─────────────────────────────────────────────────────────────────┘   │
│                                   ↕                                     │
│  ┌─────────────────────────────────────────────────────────────────┐   │
│  │               NEBUCHADNEZZAR INTERFACE                         │   │
│  │                                                                 │   │
│  │  ┌──────────────────┐    ┌──────────────────┐    ┌───────────┐ │   │
│  │  │ dx/dATP          │◄──►│ Circuit State    │◄──►│ ATP Pool  │ │   │
│  │  │ Equations        │    │ Updates          │    │ Dynamics  │ │   │
│  │  └──────────────────┘    └──────────────────┘    └───────────┘ │   │
│  │                                                                 │   │
│  │  ┌──────────────────┐    ┌──────────────────┐    ┌───────────┐ │   │
│  │  │ Probabilistic    │◄──►│ Hierarchical     │◄──►│ Dynamic   │ │   │
│  │  │ Circuit Priors   │    │ Abstraction      │    │ Expansion │ │   │
│  │  └──────────────────┘    └──────────────────┘    └───────────┘ │   │
│  └─────────────────────────────────────────────────────────────────┘   │
│                                   ↕                                     │
│  ┌─────────────────────────────────────────────────────────────────┐   │
│  │               BIDIRECTIONAL COUPLING                           │   │
│  │                                                                 │   │
│  │  ┌──────────────────┐    ┌──────────────────┐    ┌───────────┐ │   │
│  │  │ ATP Consumption  │───►│ Membrane         │───►│ Circuit   │ │   │
│  │  │ → Membrane       │    │ Property         │    │ Parameter │ │   │
│  │  │ Changes          │    │ Updates          │    │ Updates   │ │   │
│  │  └──────────────────┘    └──────────────────┘    └───────────┘ │   │
│  │                                                                 │   │
│  │  ┌──────────────────┐    ┌──────────────────┐    ┌───────────┐ │   │
│  │  │ Circuit State    │───►│ Membrane         │───►│ ATP       │ │   │
│  │  │ → ATP            │    │ Process          │    │ Demand    │ │   │
│  │  │ Demand           │    │ Activation       │    │ Updates   │ │   │
│  │  └──────────────────┘    └──────────────────┘    └───────────┘ │   │
│  └─────────────────────────────────────────────────────────────────┘   │
└─────────────────────────────────────────────────────────────────────────┘

Membrane → Circuit Parameter Mapping

Core Mapping Engine

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pub struct MembraneCircuitMapper {
    // Membrane state inputs
    molecular_layer: MolecularLayerInterface,
    mesoscale_layer: MesoscaleLayerInterface,
    cellular_layer: CellularLayerInterface,
    
    // Circuit parameter calculators
    capacitance_calculator: CapacitanceCalculator,
    resistance_calculator: ResistanceCalculator,
    topology_generator: TopologyGenerator,
    
    // ATP coupling
    atp_membrane_coupling: AtpMembraneCoupling,
    
    // Nebuchadnezzar interface
    nebuchadnezzar_interface: NebuchadnezzarCircuitInterface,
    
    // Mapping history for optimization
    parameter_history: CircuitParameterHistory,
    mapping_performance: MappingPerformanceTracker,
}

impl MembraneCircuitMapper {
    pub fn map_membrane_to_circuit(&self, membrane_state: &MembraneState, atp_state: &AtpState) -> CircuitTopology {
        // 1. Extract membrane electrical properties from all layers
        let molecular_properties = self.molecular_layer.get_electrical_properties();
        let mesoscale_properties = self.mesoscale_layer.get_domain_properties();
        let cellular_properties = self.cellular_layer.get_network_properties();
        
        // 2. Calculate circuit elements from membrane patches
        let circuit_elements = self.generate_circuit_elements(
            &molecular_properties,
            &mesoscale_properties,
            &cellular_properties,
            atp_state,
        );
        
        // 3. Determine circuit topology from membrane connectivity
        let topology = self.topology_generator.generate_from_membrane_connectivity(
            &membrane_state.connectivity_graph,
            &circuit_elements,
        );
        
        // 4. Create ATP coupling matrix
        let atp_coupling = self.atp_membrane_coupling.create_coupling_matrix(
            membrane_state,
            atp_state,
            &circuit_elements,
        );
        
        CircuitTopology {
            elements: circuit_elements,
            connections: topology.connections,
            boundary_conditions: topology.boundary_conditions,
            atp_coupling,
            dynamic_update_rules: self.create_dynamic_update_rules(membrane_state),
        }
    }
    
    fn generate_circuit_elements(
        &self,
        molecular: &MolecularElectricalProperties,
        mesoscale: &MesoscaleDomainProperties,
        cellular: &CellularNetworkProperties,
        atp_state: &AtpState,
    ) -> Vec<CircuitElement> {
        let mut elements = Vec::new();
        
        // Membrane patches as RC circuits
        for patch in &molecular.membrane_patches {
            let capacitance = self.capacitance_calculator.calculate_patch_capacitance(
                patch,
                &mesoscale.local_properties[&patch.id],
                atp_state,
            );
            
            let resistance = self.resistance_calculator.calculate_patch_resistance(
                patch,
                &mesoscale.local_properties[&patch.id],
                atp_state,
            );
            
            elements.push(CircuitElement::MembraneRC {
                id: patch.id.clone(),
                capacitance: DynamicCapacitance::new(capacitance, patch.atp_dependencies.clone()),
                resistance: DynamicResistance::new(resistance, patch.atp_dependencies.clone()),
                area: patch.area,
                location: patch.location.clone(),
            });
        }
        
        // Proteins as active elements
        for protein in &molecular.membrane_proteins {
            let protein_circuit = self.convert_protein_to_circuit_element(protein, atp_state);
            elements.push(protein_circuit);
        }
        
        // Membrane contact sites as coupling elements
        for contact in &cellular.contact_sites {
            let coupling_element = self.create_contact_coupling_element(contact, atp_state);
            elements.push(coupling_element);
        }
        
        elements
    }
}

Dynamic Circuit Parameter Updates

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pub struct DynamicCircuitParameters {
    // Parameter evolution equations
    capacitance_evolution: CapacitanceEvolution,
    resistance_evolution: ResistanceEvolution,
    topology_evolution: TopologyEvolution,
    
    // ATP-dependent update rules
    atp_update_rules: HashMap<CircuitElementId, AtpUpdateRule>,
    
    // Membrane feedback mechanisms
    membrane_feedback: MembraneFeedbackMechanism,
}

impl DynamicCircuitParameters {
    pub fn update_circuit_for_atp_consumption(
        &mut self,
        circuit: &mut CircuitTopology,
        atp_consumption: &AtpConsumption,
        dt: f64,
    ) -> CircuitUpdateResult {
        let mut update_summary = CircuitUpdateResult::new();
        
        // Update each circuit element based on ATP consumption
        for element in &mut circuit.elements {
            match element {
                CircuitElement::MembraneRC { capacitance, resistance, .. } => {
                    let cap_update = self.capacitance_evolution.update_for_atp(
                        capacitance,
                        &atp_consumption.spatial_distribution,
                        dt,
                    );
                    let res_update = self.resistance_evolution.update_for_atp(
                        resistance,
                        &atp_consumption.spatial_distribution,
                        dt,
                    );
                    
                    update_summary.add_parameter_changes(cap_update, res_update);
                }
                
                CircuitElement::AtpPump { pump_parameters, .. } => {
                    let pump_update = pump_parameters.update_for_atp_availability(
                        atp_consumption.local_atp_depletion,
                        dt,
                    );
                    update_summary.add_pump_update(pump_update);
                }
                
                CircuitElement::AtpSynthase { synthase_parameters, .. } => {
                    let synthase_update = synthase_parameters.update_for_atp_production(
                        atp_consumption.local_atp_demand,
                        dt,
                    );
                    update_summary.add_synthase_update(synthase_update);
                }
                
                _ => {}
            }
        }
        
        // Update circuit topology if membrane connectivity changed
        if atp_consumption.topology_affecting_processes.is_empty() == false {
            let topology_update = self.topology_evolution.update_for_membrane_changes(
                circuit,
                &atp_consumption.topology_affecting_processes,
                dt,
            );
            update_summary.add_topology_changes(topology_update);
        }
        
        update_summary
    }
    
    pub fn predict_parameter_evolution(
        &self,
        current_circuit: &CircuitTopology,
        atp_trajectory: &AtpTrajectory,
        time_horizon: f64,
    ) -> PredictedCircuitEvolution {
        // Predict how circuit parameters will evolve over time
        let mut predicted_evolution = PredictedCircuitEvolution::new(time_horizon);
        
        let dt = 0.001; // 1 ms time steps
        let steps = (time_horizon / dt) as usize;
        
        let mut current_state = current_circuit.clone();
        
        for step in 0..steps {
            let time = step as f64 * dt;
            let atp_consumption = atp_trajectory.get_consumption_at_time(time);
            
            let update_result = self.update_circuit_for_atp_consumption(
                &mut current_state,
                &atp_consumption,
                dt,
            );
            
            predicted_evolution.add_time_point(time, current_state.clone(), update_result);
        }
        
        predicted_evolution
    }
}

Nebuchadnezzar Interface Implementation

ATP-Based Differential Equations for Membrane Dynamics

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pub struct MembraneAtpDifferentialEquations {
    // Membrane state variables
    membrane_variables: MembraneStateVariables,
    
    // ATP coupling coefficients
    atp_coupling_matrix: AtpCouplingMatrix,
    
    // Rate equations
    lipid_synthesis_rates: LipidSynthesisRates,
    protein_insertion_rates: ProteinInsertionRates,
    membrane_remodeling_rates: MembraneRemodelingRates,
    
    // Circuit parameter dependencies
    circuit_parameter_derivatives: CircuitParameterDerivatives,
}

impl MembraneAtpDifferentialEquations {
    pub fn calculate_membrane_derivatives(&self, atp_consumption_rate: f64) -> MembraneDerivatives {
        let mut derivatives = MembraneDerivatives::new();
        
        // Lipid concentration changes: dLipid/dATP
        derivatives.lipid_concentrations = self.lipid_synthesis_rates.calculate_datp_rates(
            atp_consumption_rate,
            &self.membrane_variables.current_lipid_concentrations,
        );
        
        // Protein density changes: dProtein/dATP
        derivatives.protein_densities = self.protein_insertion_rates.calculate_datp_rates(
            atp_consumption_rate,
            &self.membrane_variables.current_protein_densities,
        );
        
        // Membrane curvature changes: dCurvature/dATP
        derivatives.membrane_curvature = self.membrane_remodeling_rates.calculate_curvature_datp(
            atp_consumption_rate,
            self.membrane_variables.current_curvature,
        );
        
        // Membrane potential changes: dV/dATP
        derivatives.membrane_potential = self.calculate_potential_datp_dependence(
            atp_consumption_rate,
            &self.membrane_variables,
        );
        
        // Circuit parameter derivatives: dR/dATP, dC/dATP
        derivatives.circuit_parameters = self.circuit_parameter_derivatives.calculate_datp_derivatives(
            atp_consumption_rate,
            &derivatives,
        );
        
        derivatives
    }
    
    fn calculate_potential_datp_dependence(
        &self,
        atp_consumption_rate: f64,
        membrane_vars: &MembraneStateVariables,
    ) -> f64 {
        // Membrane potential changes due to ATP-dependent ion pump activity
        let pump_contribution = self.calculate_pump_potential_contribution(atp_consumption_rate);
        let conductance_changes = self.calculate_conductance_potential_effects(
            atp_consumption_rate,
            membrane_vars,
        );
        
        pump_contribution + conductance_changes
    }
    
    pub fn integrate_with_nebuchadnezzar(
        &mut self,
        nebuchadnezzar_state: &NebuchadnezzarState,
    ) -> IntegrationResult {
        // Bidirectional coupling between membrane and Nebuchadnezzar
        
        // 1. Get ATP consumption from Nebuchadnezzar circuit simulation
        let atp_consumption = nebuchadnezzar_state.get_current_atp_consumption_rate();
        
        // 2. Calculate membrane changes due to ATP consumption
        let membrane_derivatives = self.calculate_membrane_derivatives(atp_consumption);
        
        // 3. Update membrane state
        self.membrane_variables.integrate_derivatives(&membrane_derivatives);
        
        // 4. Calculate new circuit parameters from updated membrane state
        let new_circuit_params = self.calculate_updated_circuit_parameters();
        
        // 5. Send updated circuit parameters back to Nebuchadnezzar
        let circuit_update = CircuitUpdate {
            new_parameters: new_circuit_params,
            topology_changes: self.calculate_topology_changes(),
            boundary_condition_updates: self.calculate_boundary_updates(),
        };
        
        IntegrationResult {
            membrane_state_change: membrane_derivatives,
            circuit_parameter_updates: circuit_update,
            atp_demand_feedback: self.calculate_atp_demand_changes(),
            integration_stability: self.assess_integration_stability(),
        }
    }
}

Hierarchical Circuit Abstraction Interface

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pub struct HierarchicalMembraneCircuitInterface {
    // Abstraction levels
    molecular_level_circuits: MolecularLevelCircuits,
    mesoscale_level_circuits: MesoscaleLevelCircuits,
    cellular_level_circuits: CellularLevelCircuits,
    
    // Abstraction control
    abstraction_controller: AbstractionController,
    expansion_criteria: ExpansionCriteria,
    
    // Probabilistic node management
    probabilistic_nodes: HashMap<NodeId, ProbabilisticMembraneNode>,
    detailed_expansions: HashMap<NodeId, DetailedCircuitExpansion>,
}

impl HierarchicalMembraneCircuitInterface {
    pub fn create_hierarchical_representation(
        &mut self,
        full_membrane_circuit: &CircuitTopology,
        computational_budget: ComputationalBudget,
    ) -> HierarchicalCircuitRepresentation {
        // Start with most abstract representation
        let mut hierarchical_repr = HierarchicalCircuitRepresentation::new();
        
        // Create probabilistic nodes for membrane regions
        for region in self.identify_membrane_regions(full_membrane_circuit) {
            let probabilistic_node = self.create_probabilistic_membrane_node(region);
            hierarchical_repr.add_node(probabilistic_node);
        }
        
        // Determine which nodes to expand based on importance and budget
        let expansion_candidates = self.abstraction_controller.select_expansion_candidates(
            &hierarchical_repr,
            &self.expansion_criteria,
            computational_budget,
        );
        
        // Expand high-priority nodes to detailed circuits
        for candidate in expansion_candidates {
            let detailed_circuit = self.expand_node_to_detailed_circuit(
                &candidate,
                full_membrane_circuit,
            );
            hierarchical_repr.replace_node_with_detailed_circuit(candidate.node_id, detailed_circuit);
        }
        
        hierarchical_repr
    }
    
    fn create_probabilistic_membrane_node(&self, region: &MembraneRegion) -> ProbabilisticMembraneNode {
        // Create uncertain representation of membrane region
        let avg_capacitance = region.calculate_average_capacitance();
        let avg_resistance = region.calculate_average_resistance();
        
        // Estimate uncertainty based on spatial variation
        let capacitance_uncertainty = region.calculate_capacitance_variation();
        let resistance_uncertainty = region.calculate_resistance_variation();
        
        ProbabilisticMembraneNode {
            node_id: region.id.clone(),
            location: region.centroid(),
            area: region.total_area(),
            
            // Probabilistic electrical properties
            capacitance_distribution: ProbabilityDistribution::normal(
                avg_capacitance,
                capacitance_uncertainty,
            ),
            resistance_distribution: ProbabilityDistribution::normal(
                avg_resistance,
                resistance_uncertainty,
            ),
            
            // ATP dependencies
            atp_sensitivity: region.calculate_atp_sensitivity(),
            atp_consumption_rate: region.estimate_atp_consumption(),
            
            // Expansion criteria
            importance_score: self.calculate_region_importance(region),
            uncertainty_score: capacitance_uncertainty + resistance_uncertainty,
            computational_cost: self.estimate_expansion_cost(region),
        }
    }
    
    pub fn adaptive_expansion(
        &mut self,
        hierarchical_repr: &mut HierarchicalCircuitRepresentation,
        optimization_results: &OptimizationResults,
    ) -> ExpansionResult {
        // Adaptively expand nodes based on optimization sensitivity
        let sensitive_nodes = optimization_results.identify_sensitive_parameters();
        
        let mut expansion_result = ExpansionResult::new();
        
        for node_id in sensitive_nodes {
            if let Some(probabilistic_node) = self.probabilistic_nodes.get(&node_id) {
                // Check if expansion would improve optimization accuracy
                let expansion_benefit = self.estimate_expansion_benefit(
                    probabilistic_node,
                    &optimization_results,
                );
                
                if expansion_benefit > self.expansion_criteria.benefit_threshold {
                    let detailed_circuit = self.expand_node_to_detailed_circuit(
                        probabilistic_node,
                        &hierarchical_repr.get_full_circuit(),
                    );
                    
                    hierarchical_repr.replace_node_with_detailed_circuit(
                        node_id,
                        detailed_circuit,
                    );
                    
                    expansion_result.add_expansion(node_id, expansion_benefit);
                }
            }
        }
        
        expansion_result
    }
}

Probabilistic Circuit Priors

Membrane-Based Circuit Priors

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pub struct MembraneCircuitPriors {
    // Prior knowledge from membrane biophysics
    lipid_bilayer_priors: LipidBilayerPriors,
    protein_function_priors: ProteinFunctionPriors,
    membrane_organization_priors: MembraneOrganizationPriors,
    
    // Experimental parameter distributions
    experimental_parameter_db: ExperimentalParameterDatabase,
    
    // Bayesian prior update mechanisms
    prior_update_engine: BayesianPriorUpdateEngine,
}

impl MembraneCircuitPriors {
    pub fn generate_circuit_parameter_priors(
        &self,
        membrane_composition: &MembraneComposition,
        temperature: f64,
        atp_concentration: f64,
    ) -> CircuitParameterPriors {
        let mut priors = CircuitParameterPriors::new();
        
        // Capacitance priors from lipid bilayer physics
        let capacitance_prior = self.lipid_bilayer_priors.generate_capacitance_prior(
            membrane_composition,
            temperature,
        );
        priors.add_capacitance_prior(capacitance_prior);
        
        // Resistance priors from membrane permeability
        let resistance_prior = self.lipid_bilayer_priors.generate_resistance_prior(
            membrane_composition,
            temperature,
        );
        priors.add_resistance_prior(resistance_prior);
        
        // Protein circuit element priors
        for protein_type in membrane_composition.get_protein_types() {
            let protein_prior = self.protein_function_priors.generate_protein_circuit_prior(
                protein_type,
                atp_concentration,
            );
            priors.add_protein_prior(protein_type, protein_prior);
        }
        
        // Membrane organization priors (domains, contacts, etc.)
        let organization_priors = self.membrane_organization_priors.generate_organization_priors(
            membrane_composition,
        );
        priors.add_organization_priors(organization_priors);
        
        priors
    }
    
    pub fn update_priors_from_experimental_data(
        &mut self,
        experimental_data: &ExperimentalData,
        membrane_conditions: &MembraneConditions,
    ) -> PriorUpdateResult {
        // Update Bayesian priors based on new experimental observations
        let likelihood = self.calculate_experimental_likelihood(
            experimental_data,
            membrane_conditions,
        );
        
        let prior_updates = self.prior_update_engine.bayesian_update(
            &self.current_priors(),
            &likelihood,
        );
        
        // Apply updates to all prior distributions
        self.lipid_bilayer_priors.update_from_bayesian_results(&prior_updates);
        self.protein_function_priors.update_from_bayesian_results(&prior_updates);
        self.membrane_organization_priors.update_from_bayesian_results(&prior_updates);
        
        // Store experimental data for future reference
        self.experimental_parameter_db.add_experimental_data(
            experimental_data.clone(),
            membrane_conditions.clone(),
        );
        
        PriorUpdateResult {
            updated_parameters: prior_updates.get_updated_parameters(),
            confidence_changes: prior_updates.get_confidence_changes(),
            prediction_improvements: self.assess_prediction_improvements(&prior_updates),
        }
    }
}

#[derive(Debug, Clone)]
pub struct LipidBilayerPriors {
    // Capacitance prior distributions
    specific_capacitance_prior: ProbabilityDistribution<f64>, // F/m²
    thickness_dependence: ThicknessDependencePrior,
    temperature_dependence: TemperatureDependencePrior,
    
    // Resistance prior distributions  
    ion_permeability_priors: HashMap<IonType, ProbabilityDistribution<f64>>,
    lipid_composition_effects: LipidCompositionEffectPriors,
    
    // Uncertainty quantification
    measurement_uncertainties: MeasurementUncertainties,
    model_uncertainties: ModelUncertainties,
}

impl LipidBilayerPriors {
    pub fn generate_capacitance_prior(
        &self,
        composition: &MembraneComposition,
        temperature: f64,
    ) -> CapacitancePrior {
        // Start with base specific capacitance distribution
        let mut capacitance_dist = self.specific_capacitance_prior.clone();
        
        // Adjust for membrane composition
        let composition_factor = self.calculate_composition_capacitance_factor(composition);
        capacitance_dist = capacitance_dist.scale(composition_factor);
        
        // Adjust for temperature
        let temperature_factor = self.temperature_dependence.calculate_capacitance_factor(temperature);
        capacitance_dist = capacitance_dist.scale(temperature_factor);
        
        // Include thickness uncertainty
        let thickness_uncertainty = self.thickness_dependence.estimate_thickness_uncertainty(composition);
        capacitance_dist = capacitance_dist.convolve_with_uncertainty(thickness_uncertainty);
        
        CapacitancePrior {
            distribution: capacitance_dist,
            temperature: temperature,
            composition: composition.clone(),
            confidence: self.calculate_prior_confidence(composition, temperature),
        }
    }
}

Example: Complete Membrane-Circuit Integration

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// Example: Complete workflow for membrane-circuit integration
pub struct MembraneCircuitIntegrationExample;

impl MembraneCircuitIntegrationExample {
    pub fn run_complete_integration_example() -> Result<IntegrationResults, IntegrationError> {
        // 1. Initialize membrane system
        let mut membrane_system = MembraneSystem::new()
            .with_lipid_composition(LipidComposition::mammalian_plasma_membrane())
            .with_proteins(vec![
                ProteinType::SodiumPotassiumPump,
                ProteinType::VoltageGatedSodiumChannel,
                ProteinType::VoltageGatedPotassiumChannel,
                ProteinType::AtpSynthase,
            ])
            .with_temperature(310.0) // 37°C
            .with_membrane_area(1e-9) // 1 μm²
            .build()?;
        
        // 2. Initialize ATP pool
        let mut atp_pool = AtpPool::physiological()
            .with_concentration(5.0) // 5 mM ATP
            .with_energy_charge(0.85)
            .build();
        
        // 3. Create circuit interface
        let mut circuit_interface = CircuitInterfaceLayer::new()
            .with_membrane_system(&membrane_system)
            .with_atp_coupling(AtpCouplingMode::Full)
            .with_hierarchy_enabled(true)
            .build()?;
        
        // 4. Generate initial circuit topology
        let initial_circuit = circuit_interface.map_membrane_to_circuit(
            &membrane_system.state(),
            &atp_pool.state(),
        );
        
        // 5. Create Nebuchadnezzar system with membrane-derived circuit
        let mut nebuchadnezzar = NebuchadnezzarSystem::new()
            .with_circuit_topology(initial_circuit)
            .with_atp_pool(atp_pool.clone())
            .with_solver(SolverType::AtpBasedRungeKutta4)
            .with_objective(OptimizationObjective::MaximizeATPEfficiency)
            .build()?;
        
        // 6. Coupled simulation loop
        let mut integration_results = IntegrationResults::new();
        let simulation_time = 1.0; // 1 second
        let dt_atp = 0.001; // 1 ms ATP time steps
        
        for step in 0..(simulation_time / dt_atp) as usize {
            let current_time = step as f64 * dt_atp;
            
            // Nebuchadnezzar ATP-based integration
            let nebuchadnezzar_result = nebuchadnezzar.integrate_step_atp(dt_atp)?;
            
            // Update membrane system based on ATP consumption
            let membrane_update = membrane_system.update_for_atp_consumption(
                &nebuchadnezzar_result.atp_consumption,
                dt_atp,
            )?;
            
            // Update circuit parameters from membrane changes
            let circuit_update = circuit_interface.update_circuit_from_membrane_changes(
                &mut nebuchadnezzar.circuit,
                &membrane_update.membrane_state_changes,
            )?;
            
            // Bidirectional feedback
            let feedback_result = circuit_interface.apply_bidirectional_feedback(
                &mut membrane_system,
                &mut nebuchadnezzar,
            )?;
            
            // Record results
            integration_results.add_time_point(IntegrationTimePoint {
                time: current_time,
                membrane_state: membrane_system.state().clone(),
                circuit_state: nebuchadnezzar.circuit.state().clone(),
                atp_state: nebuchadnezzar.atp_pool.state().clone(),
                integration_metrics: feedback_result.metrics,
            });
            
            // Adaptive hierarchy adjustment
            if step % 100 == 0 { // Every 100 ms
                circuit_interface.adaptive_hierarchy_adjustment(
                    &nebuchadnezzar.optimization_state(),
                )?;
            }
        }
        
        // 7. Analysis and optimization
        let optimization_results = nebuchadnezzar.finalize_optimization()?;
        integration_results.add_optimization_results(optimization_results);
        
        // 8. Generate final circuit parameters optimized for ATP efficiency
        let optimized_circuit = circuit_interface.generate_optimized_circuit(
            &integration_results.final_membrane_state(),
            &optimization_results,
        )?;
        
        integration_results.set_final_optimized_circuit(optimized_circuit);
        
        Ok(integration_results)
    }
    
    pub fn analyze_integration_results(results: &IntegrationResults) -> IntegrationAnalysis {
        IntegrationAnalysis {
            atp_efficiency_over_time: results.calculate_atp_efficiency_trajectory(),
            membrane_parameter_evolution: results.calculate_membrane_parameter_changes(),
            circuit_topology_changes: results.identify_circuit_topology_evolution(),
            optimization_convergence: results.analyze_optimization_convergence(),
            stability_metrics: results.calculate_stability_metrics(),
            biological_realism_assessment: results.assess_biological_realism(),
        }
    }
}

The Circuit Interface Layer provides the essential bridge between biophysical membrane dynamics and Nebuchadnezzar’s hierarchical probabilistic electric circuits, enabling authentic biological simulation through ATP-based differential equations while maintaining computational efficiency through adaptive hierarchical abstraction.

Orchestrator Communication Protocol

Incoming Orchestrator Commands

The circuit interface receives orchestration signals that influence membrane-circuit mapping:

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class OrchestratorInterface:
    def receive_context_update(self, context_layer_state):
        """Context layer provides system-wide membrane awareness"""
        self.global_membrane_context = context_layer_state
        self.adjust_circuit_priorities()
    
    def receive_reasoning_directive(self, reasoning_decision):
        """Reasoning layer coordinates parameter mapping strategies"""
        self.parameter_mapping_strategy = reasoning_decision
        self.update_mapping_algorithms()
    
    def receive_intuition_prediction(self, predicted_changes):
        """Intuition layer predicts membrane behavior changes"""
        self.preload_circuit_adaptations(predicted_changes)
    
    def receive_atp_allocation(self, atp_budget):
        """V8 metabolism pipeline sets ATP constraints"""
        self.membrane_atp_budget = atp_budget
        self.prioritize_essential_processes()

Outgoing Status Reports

The interface continuously reports membrane state to the orchestrator:

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def report_to_orchestrator(self):
    return {
        'membrane_voltage_state': self.current_membrane_potentials,
        'atp_consumption_rate': self.calculate_atp_usage(),
        'circuit_parameter_changes': self.recent_parameter_updates,
        'biological_constraint_violations': self.validate_realism(),
        'predicted_membrane_transitions': self.forecast_changes()
    }