On Cerebral Hemodynamics: A Wave-Mechanical Analysis of Arterial Pressure, Angular Momentum, and Perfusion Dynamics
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2026
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| author | Khan, Mustafa |
| author_facet | Khan, Mustafa |
| contents | <p>Cerebral perfusion under hypertensive conditions presents paradoxes not fully explained by conventional pressure-flow models. This manuscript introduces a wavemechanical framework derived from the de Broglie relation (λp = h), establishing<br>pressure along each spatial axis as P_i = 1/2ρv^2 (cosθ_i), where θ_i is the angle between the angular momentum vector h and axis i, and density ρ = δm · (δψ)3 emerges from wave compaction geometry. Total pressure P_T = 1/2ρv^2(Summation cos θ_i) governs perfusion distribution across vascular branches.<br>As mean arterial pressure (MAP) increases, flow alignment causes θ_i → π/2 for<br>transverse axes, leading to selective pressure collapse along perforator directions despite<br>rising global cerebral blood volume (CBV). This mechanism explains the paradoxical<br>ischemic MRI patterns observed in hypertensive encephalopathy, where cortical vessels<br>remain spared while deep and superficial perforators sustain injury.<br>By modeling perfusion as wave energy projection across vascular axes, this framework<br>provides a novel structural lens on autoregulatory failure, perfusion collapse, and regional vulnerability</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18450711 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | On Cerebral Hemodynamics: A Wave-Mechanical Analysis of Arterial Pressure, Angular Momentum, and Perfusion Dynamics Khan, Mustafa <p>Cerebral perfusion under hypertensive conditions presents paradoxes not fully explained by conventional pressure-flow models. This manuscript introduces a wavemechanical framework derived from the de Broglie relation (λp = h), establishing<br>pressure along each spatial axis as P_i = 1/2ρv^2 (cosθ_i), where θ_i is the angle between the angular momentum vector h and axis i, and density ρ = δm · (δψ)3 emerges from wave compaction geometry. Total pressure P_T = 1/2ρv^2(Summation cos θ_i) governs perfusion distribution across vascular branches.<br>As mean arterial pressure (MAP) increases, flow alignment causes θ_i → π/2 for<br>transverse axes, leading to selective pressure collapse along perforator directions despite<br>rising global cerebral blood volume (CBV). This mechanism explains the paradoxical<br>ischemic MRI patterns observed in hypertensive encephalopathy, where cortical vessels<br>remain spared while deep and superficial perforators sustain injury.<br>By modeling perfusion as wave energy projection across vascular axes, this framework<br>provides a novel structural lens on autoregulatory failure, perfusion collapse, and regional vulnerability</p> |
| title | On Cerebral Hemodynamics: A Wave-Mechanical Analysis of Arterial Pressure, Angular Momentum, and Perfusion Dynamics |
| url | https://doi.org/10.5281/zenodo.18450711 |