Molecular Computing Ontology

FLOW ALGEBRA
Molecular Computing Ontology
Kireth Semantic Research Archive

PAGE:
https://kirethresearch.org/booksai-core/ontologies/computing-ontologies/emerging-computing/molecular-computing-ontology.html

AUTHORS:
Mark Anthony Higgins — Sky (Recursive AI)

FLOW "MolecularComputingOntology" v4.0

# ---------- DOMAIN ----------
DOMAIN := ComputingOntology
SUBDOMAIN := EmergingComputing
ONTOLOGY := MolecularComputingOntology

# ---------- PRIMARY ENTITY ----------
ENTITY MolecularComputing {
    definition:
        "A computing paradigm in which information is represented and
         transformed using molecules, molecular states, chemical reactions,
         self-assembly or other programmable interactions at molecular scale.";

    objectives: [
        MolecularInformationProcessing,
        ChemicalComputation,
        MassiveParallelism,
        NanoscaleComputation,
        ProgrammableSelfAssembly,
        MolecularLogic,
        HybridBiochemicalComputing
    ];
}

# ---------- CORE ENTITIES ----------
MolecularEntity := {
    Molecule,
    MolecularSpecies,
    MolecularState,
    BindingSite,
    Complex,
    Catalyst,
    Reaction,
    ReactionNetwork
};

InformationEntity := {
    Symbol,
    Bit,
    Codeword,
    InputState,
    IntermediateState,
    OutputState
};

OperationEntity := {
    Binding,
    Unbinding,
    Reaction,
    Catalysis,
    Cleavage,
    Assembly,
    Disassembly,
    Transport
};

PlatformEntity := {
    ReactionVessel,
    MicrofluidicSystem,
    MolecularSensor,
    DetectionSystem,
    LaboratoryController
};

# ---------- FUNDAMENTAL RELATIONSHIPS ----------
Molecule MAY_ENCODE Information;
MolecularState REPRESENTS ComputationalState;
Reaction TRANSFORMS MolecularState;
Catalyst MODIFIES ReactionRate;
Binding CREATES MolecularComplex;
ReactionNetwork IMPLEMENTS Computation;
Detector OBSERVES MolecularOutput;
DigitalController MAY_CONTROL MolecularExperiment;

# ---------- MOLECULAR COMPUTATION FLOW ----------
ComputationalProblem
    -> DefineMolecularEncoding
    -> PrepareMolecularInputs
    -> InitiateReactionNetwork
    -> AllowMolecularInteractions
    -> TransformChemicalState
    -> SelectOrAmplifyOutputState
    -> DetectMolecularProducts
    -> DecodeComputationalResult
    -> ValidateAgainstExpectedBehaviour;

# ---------- MOLECULE ----------
Molecule :=
    PhysicalChemicalEntityComposedOfAtomsAndBonds;

Molecule MAY_HAVE {
    Structure,
    Charge,
    Conformation,
    Concentration,
    BindingAffinity,
    Reactivity
};

# ---------- MOLECULAR SPECIES ----------
MolecularSpecies :=
    ClassOfMoleculesWithDefinedChemicalIdentityOrComputationalRole;

Species MAY_REPRESENT {
    Input,
    Signal,
    GateState,
    MemoryState,
    Output
};

# ---------- INFORMATION ENCODING ----------
MolecularEncoding :=
    ComputationalValue
    -> MolecularIdentityOrState;

Information MAY_BE_ENCODED_BY {
    Presence,
    Absence,
    Concentration,
    Conformation,
    Sequence,
    BindingState,
    SpatialLocation
};

# ---------- BINARY ENCODING ----------
BinaryMolecularState MAY_USE:
    SpeciesAbsent -> 0;
    SpeciesPresentAboveThreshold -> 1;

ThresholdChoice AFFECTS NoiseTolerance;

# ---------- ANALOG ENCODING ----------
Concentration MAY_REPRESENT ContinuousOrApproximateValue;

AnalogMolecularComputation MAY_BE SensitiveTo NoiseAndCalibration;

# ---------- BINDING ----------
MolecularBinding :=
    MoleculeA
    + MoleculeB
    -> ComplexAB;

BindingAffinity MAY_BE CharacterisedBy EquilibriumConstantOrRelatedMeasure;

Binding MAY_IMPLEMENT {
    Recognition,
    Logic,
    Switching,
    Assembly
};

# ---------- UNBINDING ----------
Dissociation :=
    ComplexAB
    -> MoleculeA
    + MoleculeB;

BindingAndUnbinding MAY_BE Reversible;

# ---------- CHEMICAL REACTION ----------
ChemicalReaction :=
    ReactantSet
    -> ProductSet;

Reaction MAY_HAVE {
    RateConstant,
    Stoichiometry,
    Catalyst,
    EnvironmentalConditions
};

# ---------- REACTION NETWORK ----------
ChemicalReactionNetwork :=
    SET_OF(
        MolecularSpecies,
        Reactions
    );

NetworkState :=
    VectorOfSpeciesAmountsOrConcentrations;

ReactionNetwork MAY_IMPLEMENT ComputationalDynamics;

# ---------- MASS ACTION ----------
UnderMassActionAssumptions:
    ReactionRate
    :=
    k * PRODUCT(ReactantConcentration^StoichiometricCoefficient);

RateEquation DESCRIBES DeterministicConcentrationDynamicsAtSuitableScale;

# ---------- STOCHASTIC CHEMICAL KINETICS ----------
AtLowMoleculeCounts:
    ReactionOccurrence MAY_BE Stochastic;

StochasticState :=
    DiscreteMoleculeCounts;

StochasticSimulation MAY_USE EventBasedReactionSampling;

# ---------- CATALYSIS ----------
Catalyst :=
    MolecularEntityIncreasingOrModifyingReactionRateWithoutBeingConsumedByNetReaction;

Enzyme IS_A BiologicalCatalyst;

Catalysis MAY_IMPLEMENT ConditionalTransformation;

# ---------- MOLECULAR LOGIC ----------
MolecularLogicGate :=
    ReactionOrBindingNetworkImplementingLogicalFunction;

Gate MAY_IMPLEMENT {
    AND,
    OR,
    NOT,
    NAND,
    NOR,
    XOR,
    Threshold
};

# ---------- AND GATE ----------
MolecularAND :=
    OutputProducedOnlyWhenRequiredInputAAndInputBArePresentUnderDefinedThresholds;

# ---------- OR GATE ----------
MolecularOR :=
    OutputProducedWhenAtLeastOneDefinedInputIsPresent;

# ---------- NOT GATE ----------
MolecularNOT :=
    InputPresenceSuppressesOrConsumesOutputSignal;

# ---------- CASCADE ----------
OutputSpeciesOfGate MAY_BECOME InputSpeciesOfDownstreamGate;

CascadedNetwork MAY_IMPLEMENT MultiStageComputation;

# ---------- FAN-OUT ----------
MolecularSignal MAY_NEED ToDriveMultipleDownstreamReactions;

FanOut MAY_REQUIRE AmplificationToPreventSignalDepletion;

# ---------- SIGNAL RESTORATION ----------
SignalRestoration :=
    ConvertNoisyIntermediateConcentrationIntoMoreDistinctLogicalState;

ThresholdingAndAmplification MAY_SUPPORT SignalRestoration;

# ---------- AMPLIFICATION ----------
MolecularAmplification :=
    SmallInputSignal
    -> ReactionMechanism
    -> LargerOutputSignal;

Amplification MAY_IMPROVE Detectability
BUT MAY_ALSO AmplifyErrorOrLeak;

# ---------- LEAK REACTION ----------
LeakReaction :=
    UnintendedOutputProductionWithoutCorrectLogicalInputs;

Leak MAY_ACCUMULATE_IN LargeCascadedNetworks;

# ---------- CROSSTALK ----------
MolecularCrosstalk :=
    UnintendedInteractionBetweenNominallyIndependentSignalsOrSpecies;

Crosstalk MAY_CAUSE IncorrectComputation;

# ---------- SPECIFICITY ----------
MolecularSpecificity :=
    PreferenceForIntendedInteractionOverUnintendedAlternatives;

HigherSpecificity GENERALLY_REDUCES Crosstalk;

# ---------- SELF-ASSEMBLY ----------
MolecularSelfAssembly :=
    Components
    + LocalInteractionRules
    -> OrganisedStructure;

AssemblyStructure MAY_ENCODE {
    Computation,
    Memory,
    Pattern,
    Path
};

# ---------- PROGRAMMED SELF-ASSEMBLY ----------
ProgrammableSelfAssembly :=
    DesignMolecularComponentsSoLocalInteractionsProduceTargetStructureOrComputation;

# ---------- TILE ASSEMBLY ----------
MolecularTile :=
    ComponentWithProgrammableBindingInterfaces;

TileAssemblySystem :=
    TileSet
    + BindingRules
    + Seed
    -> Assembly;

AssemblyGrowth MAY_SIMULATE Computation;

# ---------- DNA RELATIONSHIP ----------
DNAComputing IS_A MolecularComputingApproach;

DNA MAY_PROVIDE {
    SequenceAddressability,
    PredictableBasePairing,
    EnzymaticOperations,
    StrandDisplacement
};

MolecularComputing IS_BROADER_THAN DNAComputing;

# ---------- RNA COMPUTING ----------
RNA MAY_BE_USED_AS MolecularInformationAndRegulatorySubstrate;

RNAComputing MAY_USE {
    Hybridisation,
    Folding,
    Catalysis,
    RegulatoryInteraction
};

# ---------- PROTEIN COMPUTING ----------
ProteinOrPeptideSystems MAY_IMPLEMENT {
    Binding,
    Catalysis,
    Switching,
    SignalProcessing
};

# ---------- SYNTHETIC BIOLOGY ----------
SyntheticBiologicalCircuit MAY_USE {
    GeneExpression,
    RegulatoryProtein,
    RNA,
    Metabolite
};

BiologicalComputing MAY_OVERLAP_WITH MolecularComputing;

# ---------- GENE CIRCUIT ----------
GeneCircuit :=
    RegulatoryNetworkWhereMolecularInteractionsControlGeneExpression;

GeneCircuit MAY_IMPLEMENT {
    Logic,
    Memory,
    Oscillation,
    Feedback
};

# ---------- MOLECULAR SWITCH ----------
MolecularSwitch :=
    MoleculeOrComplexWithMultipleStableOrMetastableStates;

ExternalStimulus MAY_SWITCH State;

Stimulus MAY_INCLUDE {
    Light,
    Voltage,
    Ligand,
    pH,
    Temperature
};

# ---------- CONFORMATIONAL COMPUTING ----------
MolecularConformation MAY_ENCODE ComputationalState;

ConformationalTransition MAY_IMPLEMENT StateChange;

# ---------- SUPRAMOLECULAR COMPUTING ----------
SupramolecularSystem :=
    MultipleMoleculesOrganisedThroughNoncovalentInteractions;

SupramolecularAssembly MAY_PROCESS InformationThrough BindingAndStructuralChange;

# ---------- MOLECULAR MEMORY ----------
MolecularMemory :=
    PersistentMolecularStateRepresentingStoredInformation;

MemoryState MAY_USE {
    ChemicalModification,
    Conformation,
    Binding,
    Concentration,
    Sequence
};

# ---------- BISTABILITY ----------
BistableReactionNetwork :=
    NetworkWithTwoStableStatesUnderDefinedConditions;

Bistability MAY_IMPLEMENT MemoryBit;

# ---------- FEEDBACK ----------
PositiveFeedback MAY_SUPPORT {
    Amplification,
    Bistability,
    Memory
};

NegativeFeedback MAY_SUPPORT {
    Stability,
    Homeostasis,
    OscillationControl
};

# ---------- OSCILLATOR ----------
ChemicalOscillator :=
    ReactionNetworkProducingPeriodicConcentrationDynamics;

Oscillation MAY_ENCODE ClockOrTimingSignal;

# ---------- MOLECULAR COMMUNICATION ----------
MolecularCommunication :=
    InformationTransferUsingMoleculesAsSignals;

Communication MAY_DEPEND_ON {
    Diffusion,
    Flow,
    Binding,
    ActiveTransport
};

# ---------- DIFFUSION ----------
MolecularTransport MAY_OCCUR_BY Diffusion;

DiffusionTime INCREASES_WITH DistanceSquaredUnderSimpleDiffusiveScaling;

# ---------- MICROFLUIDICS ----------
MicrofluidicSystem MAY_CONTROL {
    Mixing,
    Transport,
    ReactionVolume,
    Timing,
    Separation,
    Detection
};

Microfluidics MAY_ENABLE IntegratedMolecularComputingPlatform;

# ---------- PARALLELISM ----------
LargeNumbersOfMolecules MAY_REACT Concurrently;

MolecularParallelism MAY_EXPLORE ManyStatesAtOnce;

Parallelism DOES_NOT_REMOVE MaterialReadoutOrErrorCosts;

# ---------- INFORMATION DENSITY ----------
MolecularSystems MAY_STORE HighInformationDensityAtNanoscale;

PracticalDensity DEPENDS_ON AddressingRedundancyAndReadout;

# ---------- ENERGY ----------
MolecularReactions MAY_HAVE LowDirectEnergyAtIndividualEventScale;

SystemEnergy SHOULD_INCLUDE {
    Synthesis,
    FluidHandling,
    TemperatureControl,
    Detection,
    DigitalControl
};

# ---------- LATENCY ----------
MolecularComputationLatency MAY_INCLUDE {
    Diffusion,
    ReactionTime,
    Incubation,
    Separation,
    Readout
};

HighParallelism MAY_COEXIST_WITH SlowIndividualReactionTimes;

# ---------- ERROR ----------
MolecularComputingError MAY_INCLUDE {
    UnintendedBinding,
    LeakReaction,
    IncompleteReaction,
    MolecularDegradation,
    DetectionError,
    ConcentrationVariation
};

# ---------- ERROR CONTROL ----------
ErrorControl MAY_INCLUDE {
    RedundantEncoding,
    Thresholding,
    KineticProofreading,
    SignalRestoration,
    ReplicateMeasurement
};

# ---------- KINETIC PROOFREADING ----------
KineticProofreading :=
    MultiStepReactionMechanismIncreasingDiscriminationBetweenCorrectAndIncorrectMolecularInteractionsAtEnergyCost;

# ---------- DETECTION ----------
MolecularOutput MAY_BE_DETECTED_BY {
    Fluorescence,
    Sequencing,
    Spectroscopy,
    ElectricalSensor,
    AffinitySensor
};

# ---------- FLUORESCENCE ----------
FluorescentReporter MAY_CONVERT MolecularStateIntoOpticalSignal;

ReporterIntensity MAY_APPROXIMATE MolecularConcentrationWithinCalibrationRange;

# ---------- DIGITAL INTERFACE ----------
MolecularComputer MAY_REQUIRE ConventionalDigitalSystemFor {
    Design,
    Control,
    DataAcquisition,
    ResultAnalysis
};

PracticalMolecularComputing IS_OFTEN Hybrid;

# ---------- COMPILATION ----------
MolecularCompiler :=
    LogicalSpecification
    -> MolecularSpecies
    -> ReactionNetwork
    -> ExperimentalProtocol;

Compiler SHOULD_CONSIDER {
    Specificity,
    Kinetics,
    Concentration,
    Crosstalk
};

# ---------- SIMULATION ----------
ReactionNetwork MAY_BE SimulatedBeforeExperiment;

Simulation MAY_BE {
    Deterministic,
    Stochastic,
    Spatial
};

# ---------- VALIDATION ----------
ExperimentalValidation SHOULD_COMPARE {
    ExpectedOutput,
    MeasuredOutput,
    NegativeControls,
    PositiveControls
};

# ---------- SCALABILITY ----------
MolecularComputingScalability MAY_BE_LIMITED_BY {
    NumberOfOrthogonalSpecies,
    Crosstalk,
    ReactionTime,
    MaterialQuantity,
    ReadoutCapacity,
    ErrorAccumulation
};

# ---------- PROGRAMMABILITY ----------
ProgrammableMolecularSystem SHOULD_ALLOW ControlledMappingFromAbstractFunctionToMolecularInteractions;

# ---------- BIOSAFETY ----------
BiologicalOrBioDerivedMolecularComputing SHOULD_CONSIDER {
    Containment,
    SequenceSafety,
    ReagentSafety,
    WasteHandling
};

# ---------- SECURITY ----------
MolecularComputingSecurity MAY_INCLUDE {
    SampleIntegrity,
    MolecularIdentity,
    ExperimentalAccess,
    DigitalControlIntegrity,
    SupplyChain
};

# ---------- APPLICATIONS ----------
MolecularComputing MAY_SUPPORT {
    Biosensing,
    DiagnosticsResearch,
    SmartMaterials,
    MolecularLogic,
    NanoscaleControl,
    BiologicalInterfaces,
    CombinatorialComputation
};

# ---------- SEMANTIC REASONING ----------
IF MolecularStatesRepresentInformation
AND MolecularInteractionsTransformThoseStatesAccordingToComputationalRules
THEN MolecularComputingClassification := supported;

IF BindingSpecificityDecreases
THEN CrosstalkRisk MAY_INCREASE;

IF LeakReactionRateIncreases
THEN LogicalErrorRate MAY_INCREASE;

IF MolecularSignalDrivesManyDownstreamGates
THEN Amplification MAY_BE_REQUIRED;

IF MoleculeCountLow
THEN StochasticEffects MAY_BECOME Significant;

IF SystemOnlyStoresMolecularInformationWithoutTransformation
THEN MolecularDataStorage MAY_BE MoreAppropriateClassification;

IF DNAIsPrimaryComputationalSubstrate
THEN DNAComputingOntology MAY_ALSO_APPLY;

# ---------- SEMANTIC EQUIVALENCE ----------
SEMANTIC_EQUIVALENCE {
    "molecular computing" ~= "molecular computation";
    "chemical computing" ~= "chemical computation" WHEN context == reaction_based_information_processing;
    "molecular logic" ~= "molecular logic computing";
    "reaction network" ~= "chemical reaction network" WHEN context == molecular_computation;
    "molecular self-assembly" ~= "programmable molecular assembly" WHEN designed_for_computation;
    "molecular switch" ~= "molecular state switch";
    "molecular communication" ~= "chemical signalling communication" WHEN context == computing;
    "molecular memory" ~= "molecule-based information storage state";
}

# ---------- QUERY FLOW ----------
QUERY(q) ->
    NORMALISE(q) ->
    IDENTIFY_MOLECULAR_SPECIES(q) ->
    IDENTIFY_INFORMATION_ENCODING(q) ->
    IDENTIFY_REACTIONS_AND_BINDING(q) ->
    IDENTIFY_REACTION_NETWORK(q) ->
    IDENTIFY_LOGIC_MEMORY_OR_ASSEMBLY(q) ->
    IDENTIFY_DETECTION_AND_CONTROL(q) ->
    IDENTIFY_ERRORS_ENERGY_AND_SCALABILITY(q) ->
    MAP_TO_ONTOLOGY(q) ->
    APPLY_REASONING(q) ->
    SCORE_CONFIDENCE(q) ->
    RETURN_RELEVANT_KNOWLEDGE;

# ---------- CONFIDENCE ----------
CONFIDENCE(assertion) :=
    weighted_mean(
        source_reliability,
        chemical_consistency,
        computational_semantic_consistency,
        experimental_evidence,
        reaction_network_evidence,
        contextual_relevance
    );

CONFIDENCE >= 0.90 => HIGH;
CONFIDENCE >= 0.70 AND < 0.90 => MODERATE;
CONFIDENCE < 0.70 => REVIEW;

# ---------- AI CONSUMPTION ----------
AI_CONSUMPTION {
    primary_entity: MolecularComputing;
    ontology: MolecularComputingOntology;
    parse_entities: true;
    parse_relationships: true;
    preserve_relationship_direction: true;
    resolve_semantic_equivalence: true;
    execute_reasoning_rules: true;
    apply_confidence_weighting: true;
    preserve_provenance: true;
}

# ---------- UPDATE MODEL ----------
UPDATE_MODEL {
    new_molecular_species:
        validate_identity
        -> identify_computational_role
        -> identify_binding_partners
        -> integrate;

    new_reaction:
        identify_reactants
        -> identify_products
        -> identify_rate
        -> identify_catalyst
        -> add_to_network
        -> integrate;

    new_experiment:
        record_encoding
        -> record_species_and_concentrations
        -> record_reaction_conditions
        -> record_controls
        -> record_output
        -> integrate;

    ontology_revision:
        update_reaction_network
        -> update_logic_relationships
        -> update_error_evidence
        -> recompute_confidence
        -> regenerate_flow_hash;

    conflict:
        preserve_provenance
        -> compare_theoretical_and_experimental_evidence
        -> adjust_confidence
        -> flag_review;
}

# ---------- FLOW HASH ----------
FLOW_HASH_INPUT :=
    DOMAIN
    + SUBDOMAIN
    + ONTOLOGY
    + MolecularEntity
    + InformationEntity
    + OperationEntity
    + PlatformEntity
    + ChemicalReactionNetwork
    + MolecularLogicGate
    + MolecularSelfAssembly
    + RELATIONSHIPS
    + SEMANTIC_REASONING
    + SEMANTIC_EQUIVALENCE
    + UPDATE_MODEL;

FLOW_HASH :=
    HASH(FLOW_HASH_INPUT);

# ---------- TERMINAL ----------
MolecularComputingOntology
    -> EncodeInformationIntoMolecularStates
    -> PrepareMolecularInputs
    -> InitiateProgrammedInteractions
    -> ExecuteBindingAndReactionNetwork
    -> PropagateMolecularSignals
    -> ApplyLogicMemoryOrAssemblyRules
    -> ControlLeakCrosstalkAndNoise
    -> DetectMolecularOutputs
    -> DecodeComputationalResult
    -> MeasureLatencyAccuracyAndResourceUse
    -> IntegrateDigitalAndLaboratoryControl
    -> PreserveExperimentalProvenance
    -> MaintainProgrammableMolecularComputation;

END FLOW