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Phase-coherence analysis framework for quantum, biological, and dynamical systems

Project description

PhaseLab

Phase-coherence analysis framework for quantum, biological, and dynamical systems.

PyPI version License: MIT Python 3.9+

PhaseLab implements the Informational Relativity (IR) framework for assessing simulation reliability across domains. It provides:

  • Quantum coherence metrics (R̄, V_φ) validated on IBM Quantum hardware
  • CRISPR/CRISPRa guide RNA design with multi-layer validation
  • Circadian clock modeling for gene therapy dosage optimization

Quick Start

Installation

pip install phaselab

# With quantum computing support
pip install phaselab[quantum]

# Full installation
pip install phaselab[all]

Design CRISPR Guides in 5 Lines

from phaselab.crispr import design_guides

# Your promoter sequence (1kb upstream of TSS)
promoter = "ATGC..."  # Full sequence here

# Design and rank guide RNAs
guides = design_guides(
    sequence=promoter,
    tss_index=500,  # TSS position in sequence
)

# View top candidates
print(guides[['sequence', 'position', 'mit_score', 'coherence_R', 'go_no_go']])

Simulate Circadian Clock (SMS Model)

from phaselab.circadian import simulate_sms_clock, therapeutic_scan

# Simulate SMS patient (50% RAI1)
result = simulate_sms_clock(rai1_level=0.5)
print(f"Synchronization: {result['final_R_bar']:.3f}")
print(f"Classification: {result['classification']}")

# Find therapeutic window
scan = therapeutic_scan()
print(f"Optimal RAI1: {scan['optimal_level']}")
print(f"Required boost: +{scan['required_boost']*100:.0f}%")

Compute Coherence Metrics

from phaselab.core import coherence_score, go_no_go
import numpy as np

# From phase data (Kuramoto order parameter)
phases = np.array([0.1, 0.15, 0.12, 0.18])
R_bar = coherence_score(phases, mode='phases')
print(f"R̄ = {R_bar:.4f}, Status: {go_no_go(R_bar)}")

# From variance (IR formula: R̄ = exp(-V_φ/2))
V_phi = 0.5
R_bar = coherence_score(V_phi, mode='variance')
print(f"R̄ = {R_bar:.4f}")

The IR Framework

PhaseLab is built on Informational Relativity, a framework that provides:

Core Equation

R̄ = exp(-V_φ/2)

Where:

  • (R-bar): Coherence/order parameter [0, 1]
  • V_φ (V-phi): Phase variance

GO/NO-GO Threshold

R̄ > e⁻² ≈ 0.135 → GO (reliable)
R̄ < e⁻² ≈ 0.135 → NO-GO (unreliable)

This threshold has been validated on:

  • IBM Quantum hardware (H₂ VQE: R̄ = 0.891)
  • gRNA binding simulations (R̄ = 0.84)
  • Circadian oscillator models

CRISPR Pipeline Features

The design_guides() function provides:

Layer Method Purpose
PAM Scanning NGG, NNGRRT, TTTV Find Cas binding sites
GC Content 40-70% filter Optimal binding
Thermodynamics SantaLucia ΔG Binding energy
MIT Score Position-weighted Off-target specificity
CFD Score Mismatch penalty Cutting frequency
Chromatin DNase HS model Accessibility
IR Coherence R̄ metric Simulation reliability

Circadian Model Features

The SMS model includes:

  • Kuramoto oscillator base - Phase coupling dynamics
  • PER delayed feedback - Realistic negative loop
  • REV-ERBα/RORα modulation - BMAL1 regulation
  • RAI1 dosage effects - SMS-specific coupling
  • Therapeutic window analysis - Find optimal boost

Example: Smith-Magenis Syndrome Gene Therapy

This framework was developed to design CRISPRa guides for RAI1 upregulation in SMS:

from phaselab.crispr import design_guides
from phaselab.circadian import therapeutic_scan
from phaselab.io import export_crispor_batch

# 1. Design guides for RAI1 promoter
rai1_promoter = """TGTCTCTTCCCACCAGGATGCC..."""  # 1kb sequence
guides = design_guides(rai1_promoter, tss_index=500)

# 2. Export for CRISPOR validation
export_crispor_batch(rai1_promoter, "crispor_input.fa")

# 3. Predict therapeutic window
scan = therapeutic_scan()
print(f"Target RAI1 boost: +{scan['required_boost']*100:.0f}%")

# 4. Top candidates
for i, row in guides.head(3).iterrows():
    print(f"{row['sequence']} | pos {row['position']} | R̄={row['coherence_R']:.3f} | {row['go_no_go']}")

Result: Hardware-validated gRNA TACAGGAGCTTCCAGCGTCA with:

  • MIT specificity: 83
  • CFD score: 93
  • Zero off-targets ≤2 mismatches
  • IBM Torino coherence: R̄ = 0.839

Documentation

  • API Guide - Complete API reference with detailed examples
  • Examples - Practical code examples for common use cases
  • SMS Gene Therapy Research - Full research paper on IBM Quantum-validated CRISPRa design for Smith-Magenis Syndrome

Research Papers

Three publishable papers establishing PhaseLab and its applications:

Paper Title Target Journals
Paper 1 PhaseLab: A Generalized Coherence Framework for Quantum-Biological Simulation Nature Computational Science, NPJ Quantum Information
Paper 2 Quantum-Informed CRISPRa gRNA Design for RAI1 Activation in SMS Nature Biotechnology, Nucleic Acids Research
Paper 3 Phase-Based Modeling of Circadian Dysregulation in SMS Cell Systems, eLife, Journal of Biological Rhythms

API Reference

Core (phaselab.core)

from phaselab.core import (
    coherence_score,      # Compute R̄ from various inputs
    go_no_go,             # GO/NO-GO classification
    phase_variance,       # Compute V_φ from phases
    E_MINUS_2,            # e⁻² threshold constant
    build_pauli_hamiltonian,  # Generic Hamiltonian builder
)

CRISPR (phaselab.crispr)

from phaselab.crispr import (
    design_guides,        # Main pipeline
    GuideDesignConfig,    # Configuration dataclass
    find_pam_sites,       # PAM scanner
    gc_content,           # GC calculation
    delta_g_santalucia,   # Thermodynamic ΔG
    mit_specificity_score,  # MIT off-target score
)

Circadian (phaselab.circadian)

from phaselab.circadian import (
    simulate_sms_clock,   # SMS circadian model
    SMSClockParams,       # Model parameters
    therapeutic_scan,     # RAI1 level sweep
    classify_synchronization,  # R̄ to class
    kuramoto_order_parameter,  # Base Kuramoto R̄
)

Validation

PhaseLab metrics have been validated against:

System Method Hardware
H₂ molecule VQE 0.891 IBM Brisbane
gRNA binding Hamiltonian sim 0.839-0.854 IBM Torino
Circadian clock Kuramoto ODE 0.73-0.99 Classical

Citation

If you use PhaseLab in research, please cite:

@software{phaselab2025,
  author = {Vaca, Dylan},
  title = {PhaseLab: Phase-coherence analysis for quantum and biological systems},
  year = {2025},
  url = {https://github.com/dylanvaca/phaselab}
}

Contributing

Contributions welcome! See CONTRIBUTING.md for guidelines.

License

MIT License - see LICENSE for details.


Developed as part of the Informational Relativity research program. Hardware validation: IBM Torino, December 2025.

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