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Chemical Organization Theory

**Category:** Phase 3 Core - Autopoietic Systems **Status:** Skeleton Implementation **Dependencies:** `categorical-composition` (reaction networks as categories)

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Chemical Organization Theory

Category: Phase 3 Core - Autopoietic Systems Status: Skeleton Implementation Dependencies: categorical-composition (reaction networks as categories)

Overview

Implements Chemical Organization Theory (COT) for modeling self-maintaining autopoietic systems through reaction-diffusion dynamics, organizational closure detection, and self-maintenance verification.

Capabilities

  • Reaction Networks: Define chemical reaction systems
  • Organizational Closure: Detect self-maintaining organizations
  • Reaction-Diffusion: Spatial dynamics simulation
  • Autopoiesis: Verify self-production and boundary maintenance

Core Components

  1. Reaction Network Builder (reaction_network.jl)

    • Define species and reactions
    • Stoichiometric matrices
    • Mass-action kinetics
  2. Organization Detection (organization_detection.jl)

    • Closure detection (no external inputs required)
    • Self-maintenance verification
    • Organizational hierarchy
  3. Reaction-Diffusion Simulator (reaction_diffusion.jl)

    • Spatial PDE integration
    • Pattern formation
    • Turing instabilities
  4. Autopoietic Analysis (autopoiesis.jl)

    • Boundary formation detection
    • Self-production metrics
    • Organizational resilience

Integration Points

  • Input from: categorical-composition (reaction networks as categories)
  • Output to: emergent-role-assignment (role stability as organizations)
  • Coordinates with: formal-verification-ai (verify closure properties)

Usage

using ChemicalOrganizationTheory

# Define reaction network
network = ReactionNetwork()
add_species!(network, [:A, :B, :C])
add_reaction!(network, [:A, :B] => [:C], rate=0.1)
add_reaction!(network, [:C] => [:A, :B], rate=0.05)

# Detect organizations
orgs = find_organizations(network)

# Simulate reaction-diffusion
grid = Grid2D(100, 100)
state = initialize_state(grid, network)
trajectory = simulate_rd(network, state, time=100.0)

# Check autopoiesis
is_autopoietic = check_autopoiesis(network, orgs[1])

References

  • Dittrich & Speroni di Fenizio "Chemical Organization Theory" (2007)
  • Fontana & Buss "The Barrier of Objects" (1996)
  • Varela et al. "Autopoiesis: The Organization of Living Systems" (1974)

Implementation Status

  • Basic reaction network structures
  • Stoichiometric analysis
  • Full organization detection algorithm
  • Reaction-diffusion solver
  • Autopoiesis verification metrics

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