1 Overview

This report examines the state-space trajectory of Uric Acid and HDL Cholesterol. Together, these markers define the Uric Acid to HDL-C Ratio (UHR).

  • Uric Acid: Uric acid is a byproduct of purine metabolism and fructose breakdown. Chronic elevation (hyperuricemia) is a significant driver of oxidative stress, hypertension, and systemic insulin resistance.
  • HDL Cholesterol: High-Density Lipoprotein (HDL) manages reverse cholesterol transport. While often termed ‘good cholesterol,’ its utility in this ratio is as a proxy for metabolic resilience and anti-inflammatory capacity.
  • Uric Acid to HDL-C Ratio (UHR): The UHR is a high-sensitivity marker for metabolic syndrome and NAFLD. Trajectories shifting toward high Uric Acid and low HDL (crossing the 0.11-0.15 contours) signal a loss of metabolic flexibility.
Analysis Parameters and Logic
Component Units Logic Reference Optimal
Uric Acid mg/dL Raw Marker 3.5 - 7.2 4 - 5.5
HDL Cholesterol mg/dL Raw Marker 40 - 90 55 - 80
Uric Acid to HDL-C Ratio (UHR) Ratio \(UHR = \frac{Uric\ Acid}{HDL}\) 0.05 - 0.15 0.08 - 0.12

1.1 Methodology: State-Space Trajectory Analysis

This report utilizes State-Space Trajectory Analysis, a methodology first implemented by the author in 2015 to evaluate electrolyte flux and system stability over time (Seiter et al. 2015). By mapping the relationship between two dependent variables as well as a derived value, we move beyond the “Snapshot” model of medicine into a “2 Dimensional Temporal Visualization” of health. While contemporary research frameworks like STREAM (2026) have recently begun applying these principles to ICU monitoring (STREAM Research Group 2026), this report continues the author’s long-term development of trajectory-based clinical modeling.

2 Data Processing

3 Lab Results Listing

Historical Results for Uric Acid and HDL Cholesterol
Date Age Uric Acid (mg/dL) HDL Cholesterol (mg/dL) Uric Acid to HDL-C Ratio (UHR)
1998-05-12 32 3.2 44 0.073
2010-07-21 44 3.5 79 0.044
2010-09-02 44 5.0 58 0.086
2010-10-25 44 4.1 68 0.060
2011-02-02 45 3.7 66 0.056
2011-06-28 45 3.7 67 0.055
2011-09-29 45 3.2 69 0.046
2013-04-18 47 3.7 75 0.049
2013-09-27 47 3.5 73 0.048
2016-05-28 50 3.7 71 0.052
2017-07-06 51 4.3 75 0.057
2017-11-17 51 3.9 66 0.059
2018-05-10 52 4.1 69 0.059
2018-11-09 52 3.5 79 0.044
2019-06-05 53 4.7 70 0.067
2020-04-09 54 3.3 86 0.038
2020-09-30 54 3.1 60 0.052
2021-07-23 55 4.0 77 0.052
2022-10-07 56 4.4 73 0.060
2023-08-10 57 3.6 74 0.049
2023-11-29 57 4.0 77 0.052
2024-03-05 58 4.2 66 0.064
2024-06-05 58 3.8 70 0.054
2025-08-06 59 4.1 83 0.049

4 Statistical Summary

Summary of historical distribution and the Z-score for the most recent result.

Historical Statistics Summary
Min Q1.25% Median Mean Q3.75% Max N SD Latest Latest Z
Uric Acid 3.10 3.50 3.75 3.85 4.10 5.00 24 0.47 4.10 0.54
HDL Cholesterol 44.00 66.75 70.50 70.62 75.50 86.00 24 8.71 83.00 1.42
Uric Acid to HDL-C Ratio (UHR) 0.04 0.05 0.05 0.06 0.06 0.09 24 0.01 0.05 -0.61

5 Uric Acid-HDL Cholesterol State-Space Trajectory

  • Dots: Dated lab results colored by value of Uric Acid to HDL-C Ratio (UHR). Hover for more detailed test information.
  • Contours: Represent constant values of Uric Acid to HDL-C Ratio (UHR).
  • Grid Lines: Dotted/Red = Reference Range; Dashed/Green = Optimal Range.
  • Trajectory: Colored segments indicate the temporal path between samples.

6 Longitudinal History: The Linear Audit

The Longitudinal History provides a traditional time-series view of each component. While the 2D State-Space reveals the 2 Dimensional Trajectory of the system, these 1D facets identify which specific component is driving the systemic shift. A trajectory move toward the high-risk ridge in the state-space can be traced here to either a surge in Innate activity (Neutrophils) or a depletion of Adaptive reserve (Lymphocytes).

7 File History

File Initially created: Saturday, April 11, 2026
File Updated for Uric Acid to HDL-C Ratio (UHR) Fine-Tuning: Sunday, April 26, 2026
File Updated for Visual Refinement: Sunday, April 26, 2026
File knitted: Tue Apr 28 10:41:35 2026

8 Bibliography

Seiter, Richard, Michael McEvoy, Robert F. Kidd MD, and Lynne August. 2015. “Phase Space for the Nernst Equation.” https://rpubs.com/rseiter/44006.
STREAM Research Group. 2026. “STREAM: State Trajectory Representation & Evolution-Aware Monitoring.” https://www.medrxiv.org/content/10.64898/2026.02.03.26345478v1.