The reasoning: write Ohm's law, then Poiseuille
Q = ΔP/R; systemic: MAP − RAP = CO × SVR. Poiseuille (steady laminar Newtonian flow in a rigid tube): R = 8ηL/πr⁴, Q = ΔP·πr⁴/8ηL. Radius dominates — a 19% fall in radius doubles resistance.
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Part 5 · Cardiovascular Physiology
Same concept, other depth: Foundation →
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Q = ΔP/R; systemic: MAP − RAP = CO × SVR. Poiseuille (steady laminar Newtonian flow in a rigid tube): R = 8ηL/πr⁴, Q = ΔP·πr⁴/8ηL. Radius dominates — a 19% fall in radius doubles resistance.
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