Hematology — NIH ICB classification under blood / oncology-adjacent; physiologic sub-discipline of internal medicine studying blood, blood-forming tissues, and associated disorders. Foundations: (1) Hemoglobin oxygen-transport biophysics:…
hematology
Hemoglobin cooperativity: Hill equation Y = L^n / (K^n + L^n); n ≈ 2.8
Hemoglobin oxygen binding is the canonical allosteric-cooperativity example. Adair (1925) gave the earliest four-site saturation equation;…
CBC reference ranges and derived indices: MCV=Hct·1000/RBC (fL)
The Complete Blood Count (CBC) is the most commonly ordered clinical laboratory test. Core measured parameters: white blood cell count…
Coagulation cascade and INR = (PT_pt / PT_norm)^ISI (WHO 1983)
The coagulation cascade is a stepwise zymogen-to-protease activation network culminating in fibrin polymerization. Extrinsic pathway:…
Hill half-saturation: Y(L=K) = 1/2 for all n (cooperativity-invariant)
Sympy-exact witness of the Hill-equation half-saturation identity, true for any Hill coefficient n > 0. Setup: Y(L; n, K) = L^n / (K^n +…
CBC indices on Hct=45%, RBC=5, Hb=15: MCV=90, MCH=30, MCHC=100/3
Sympy-exact witness of the CBC-indices arithmetic on a canonical healthy-adult-male anchor patient. Setup: Hct = 45/100 (fraction), RBC =…
INR identities: INR(PT_pt=PT_norm) = 1; INR(PT_pt=2·PT_norm, ISI=1) = 2
Sympy-exact witness of the International Normalized Ratio idempotent and linearity identities. Setup: INR = (PT_pt / PT_norm)^ISI as a…