Activity-Recovery Coupling
Executive Summary
This report examines whether physical activity on day N predicts sleep quality and autonomic recovery on day N+1 for both patients. Patient 1 (post-HSCT, ~2700 steps/day, HRV ~9ms) shows absent coupling (r=-0.043). Patient 2 (post-stroke, ~10000 steps/day, HRV ~43ms) shows absent coupling (r=-0.092).
Both patients show absent activity-recovery coupling.
Activity vs Next-Day Recovery
Cross-Correlation Functions
Positive lags = activity leads recovery (causal direction). Negative lags = recovery leads activity (reverse check). * indicates p < 0.10.
Dose-Response: Activity Bins vs Next-Day HRV
| Patient | N pairs | Bins | Kruskal H | p-value | Sig (p<0.10) |
|---|---|---|---|---|---|
| Patient 1 (post-HSCT) | 87 | 4 | 0.59 | p=0.898 | No |
| Patient 2 (post-Stroke) | 518 | 4 | 9.03 | p=0.029 | Yes |
| Patient 3 (Healthy Control) | 22 | 3 | 2.17 | p=0.338 | No |
Full Correlation Matrices (Lag 1)
Each cell shows Spearman r for activity[N] vs recovery[N+1]. * indicates p < 0.10. Colorscale: blue=positive, red=negative.
Steps vs Recovery Across Lags
Clinical Interpretation
Patient 1 (post-HSCT)
Coupling: absent (negligible) — r=-0.043, p=p=0.689, n=87
Recovery capacity: Decoupled
Activity and next-day recovery are effectively uncoupled. Other factors may dominate recovery dynamics.
Patient 2 (post-Stroke)
Coupling: absent (negligible) — r=-0.092, p=p=0.036, n=518
Recovery capacity: Decoupled
Activity and next-day recovery are effectively uncoupled. Other factors may dominate recovery dynamics.
Cross-Patient Comparison
Both patients show absent activity-recovery coupling.
Fisher r-to-z test p-value: p=0.679
Caveats
- Patient 1 has only ~87 usable lag-1 pairs. With small N, many true correlations will not reach statistical significance. Effect sizes (r values) are more informative than p-values.
- Relaxed significance threshold (p < 0.10) used throughout to balance Type I and Type II error with limited data.
- Observational design: correlations do not establish causation. Confounders (illness severity, medication, stress) are not controlled.
- P1's extremely low activity level (~2700 steps, ~6 min active) provides limited variance to detect dose-response relationships.
- Oura readiness 'resting_heart_rate' is a 0-100 score, NOT bpm. Heart rate values come from sleep_periods only.