Formal Causal Hierarchy Analysis
This chapter encodes the biological reasoning of Chapter Causal Hierarchy: Root Causes, Amplifiers, and Consequences into formal mathematical models. It develops the ODE system governing disease state evolution, the timescale hierarchy that constrains therapeutic sequencing, the minimum intervention set analysis for disease escape, and formal predictions derivable from the model structure. Each hypothesis is stated with explicit certainty estimates and testable predictions.
For patients: read the Critical Slowing Down as a Wearable Monitoring Tool section to see how wearable monitoring of critical slowing down may flag worsening early.
For caregivers: read the Critical Slowing Down as a Wearable Monitoring Tool section to recognise early-warning patterns that a monitoring tool could surface.
For clinicians: read the Critical Slowing Down as a Wearable Monitoring Tool, The Epigenetic Clock as Diagnostic Tool, and Antiviral Therapy Effectiveness and Threat Signal Composition sections for diagnostics and therapy-effectiveness reasoning.
For researchers: read the full derivation from the The Disease State ODE System and Reverse Cascade Recovery Prediction sections through the Lock Removal Sequence Dependence, Separatrix Nudging via Stacked Sub-Threshold Interventions, Within-Patient Attractor Migration, and Emergent Predictions from Cross-Idea Synthesis sections.
This chapter encodes the biological reasoning of Chapter Causal Hierarchy: Root Causes, Amplifiers, and Consequences into formal mathematical models. It develops the ODE system governing disease state evolution, the timescale hierarchy that constrains therapeutic sequencing, the minimum intervention set analysis for disease escape, and formal predictions derivable from the model structure. Each hypothesis is stated with explicit certainty estimates and testable predictions.
The qualitative causal hierarchy developed in Chapter Causal Hierarchy: Root Causes, Amplifiers, and Consequences — root causes, amplifiers, consequences, locks — invites formalization. Expressing these relationships as dynamical systems permits quantitative predictions that go beyond the verbal reasoning: how fast does the disease consolidate? Which intervention combinations are sufficient for escape? Can recovery be predicted from biomarker trajectories? This chapter develops these formalizations.
1 Contents
- The Disease State ODE System
- The Epigenetic Clock as Diagnostic Tool
- Reverse Cascade Recovery Prediction
- Lock Removal Sequence Dependence
- Separatrix Nudging via Stacked Sub-Threshold Interventions
- Critical Slowing Down as a Wearable Monitoring Tool
- Within-Patient Attractor Migration
- Antiviral Therapy Effectiveness and Threat Signal Composition
- Emergent Predictions from Cross-Idea Synthesis