To develop a physical framework that characterizes penumbral tissue as a continuous spectrum
rather than binary classification, enabling precision stroke management.

Current stroke management relies on oversimplified binary core/penumbra models, potentially
missing salvageable tissue. With 850,000 annual U.S. strokes, improved tissue classification could
enhance outcomes. Physical principles suggest tissue viability exists along a continuum requiring individualized management strategies.

We derived a hemodynamic framework incorporating effective cerebral perfusion pressure (CPP(effective)) as a function of mean arterial pressure, pulse pressure, heart rate, and vascular
compliance. Mathematical definitions distinguished four tissue states: infarct (immediate injury), ischemia (∂CBF/∂t < −α for t > 30min), oligemia (δCBF < threshold but ∂CBF/∂t ≈ 0), and anemia (normal CBF but δO2 < metabolic demand). Framework predictions were validated against TIA imaging studies and clinical observations.

The framework successfully predicts clinical observations: TIA studies show DWI changes appear at 30-60 minutes (50% incidence), matching our ischemia threshold. ABCD2 score’s empirical 60-minute cutoff aligns with physics-based predictions. Examples demonstrating clinical application: 32-year-old female may require MAP 180/110 to prevent oligemia → ischemia transition; 37-year-old male with
ICA/MCA occlusion will need MAP 220/120 to maintain collateral flow. Framework also explains Cushing’s triad mechanism through obligatory bradycardia (∂HR/∂ICP<0) causing selective systolic pressure rise. 

Penumbral tissue exists in continuous gradations—infarct, ischemia, oligemia, anemia— each requiring specific management. This physics-based framework enables precision medicine by tailoring interventions to individual hemodynamic parameters rather than population averages. Clinical validation supports replacing binary classifications with continuous tissue state assessment for optimized stroke management.