HELIOS Hybrid Evaluation of Lifecycle and Impact of Outstanding Science

The HELIOS Model (Hybrid Evaluation of Lifecycle and Impact of Outstanding Science) is a comprehensive framework designed to evaluate the maturity of emerging technologies by integrating multiple key indicators. The model combines data from R&D investment, scientific publications, patents, adoption levels, and regulatory frameworks to position each technology within its lifecycle phase.

Overview

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HELIOS [1] provides a composite index that simultaneously reflects both the state of scientific development (research impact) and technological advancement (diffusion and investment) of a technology. This hybrid approach draws inspiration from established frameworks such as NASA's Technology readiness level (TRL) and Rogers' adoption categories, which link technological evolution with user acceptance.[2]

In the HELIOS framework, each variable indicates a complementary aspect of maturity: sustained growth in investment and publications typically precedes phases of technological expansion, while an elaborate regulatory environment points to a more consolidated technology.

Mathematical formulation

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The HELIOS index is calculated as a weighted average of five normalized variables (I, P, Pt, A, R) representing investment, publications, patents, adoption, and regulation, each scaled to the range [0,1]:

 

Where the weights sum to 1. A typical weight distribution might be:

  • Investment (wI): 0.25
  • Publications (wP): 0.25
  • Patents (wPt): 0.20
  • Adoption (wA): 0.25
  • Regulation (wR): 0.05

The resulting HELIOS value ranges from 0 (very early-stage technology) to 1 (high maturity).

Scoring criteria and normalization

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Each key variable is measured using standardized criteria and scales:

Investment (R&D)

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Annual investment amount (public + private) in USD, normalized by dividing by the highest recorded level or sectoral target. Typical scoring ranges:

  • 0: Minimal investment
  • 0.2: Low investment
  • 0.5: Moderate investment
  • 1.0: Very high investment

Scientific publications

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Number of academic articles in the related discipline per year, normalized against historical maximum. Example ranges:

  • 0–10 articles: 0–0.2
  • 11–50 articles: 0.2–0.5
  • 51–200 articles: 0.5–0.8
  • >200 articles: 0.8–1.0

Patents

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Number of patent families published annually in the field. Similar normalization to publications:[3]

  • 0–50 patents: 0–0.3
  • 51–200 patents: 0.3–0.6
  • 201–500 patents: 0.6–0.9
  • >500 patents: 0.9–1.0

Adoption

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Degree of technology implementation or usage, estimated as market penetration following the diffusion of innovations model:

  • <1%: ~0
  • 1–10%: 0.1–0.3
  • 10–50%: 0.3–0.7
  • >50%: 0.7–1.0

Regulation

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Maturity level of legal frameworks and standards, qualitatively assessed:

  • 0: No regulation
  • 0.5: Partial regulations
  • 1.0: Complete and harmonized regulation

Visual representation

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The current state of the five variables can be represented graphically using a radar chart, where each dimension (investment, publications, patents, adoption, regulation) is measured from 0 to 1. The resulting surface reflects the technology maturity profile. Additionally, the typical Sigmoid function (S-Curve) illustrates the overall maturity trajectory: its maximum slope indicates the inflection point (rapid growth phase) and the final saturation level marks complete maturity.

Variables and Scoring

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Variable Metric Normalization Typical Weight
Investment (I) Annual R&D spend (USD) I/Imax 0.25
Publications (P) Articles per year P/Pmax 0.25
Patents (Pt) Patent families per year Pt/Ptmax 0.20
Adoption (A) % market penetration tiered scale 0.25
Regulation (R) Quality of legal standards tiered scale 0.05

Practical example: Quantum computing

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To illustrate HELIOS, consider quantum computing with recent data:

  • Investment (I = 0.8): The sector has attracted billions of dollars, with McKinsey & Company estimating the global quantum market could reach $100 billion within ten years.[4]
  • Publications (P ≈ 0.9): The field has grown exponentially with increasing literature output.
  • Patents (Pt ≈ 0.8): Reports show thousands of new families annually (e.g., 3,795 in 2023 vs 1,899 in 2020).[5]
  • Adoption (A = 0.3): Commercial adoption remains modest, mainly prototypes and cloud services.
  • Regulation (R ≈ 0.4): Emerging regulatory framework, including U.S. export controls implemented in 2024.[6]

Using suggested weights:

 

A value of ~0.65 indicates an early growth stage, consistent with rapid expansion in patents and investment but limited adoption. This suggests quantum computing is still far from saturation, with the S-curve's increasing slope indicating that the mass adoption tipping point may be approaching.

Applications and interpretation

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HELIOS values near 0.5–0.7 correspond to technologies in the development/early adoption phase, while indices close to 1 indicate maturity or stagnation. The model enables:

  • Comparative analysis between different technologies
  • Assessment of technology trajectory and lifecycle positioning
  • Strategic decision-making for R&D investment and policy
  • Technology forecasting and planning

See also

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References

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  1. ^ Disruptive Horizons: The 10 technologies that will redefine the next decade. 2025. ISBN 9798294856489.
  2. ^ "User needs over time: the market and technology maturity model (MTMM)". Journal of Innovation and Entrepreneurship. 2023.
  3. ^ "Assessing the life cycle of technologies". European Patent Office. 2023.
  4. ^ "The Rise of Quantum Computing". McKinsey & Company. 2025.
  5. ^ "Certainty in the trajectory of patents for quantum computing". Appleyard Lees. 2024.
  6. ^ "Department of Commerce Releases Export Controls on Quantum Technologies". National Quantum Initiative. 2024.
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