Education

PCR product from ideal exponential amplification copies = template × (1 + e)^n (2^n at 100%), with ng conversion from amplicon length, plateau flag (~10¹²–10¹³ molecules), and >35-cycle warning. Derived from Saiki 1988, Innis & Gelfand 1990, Lorenz 2012. Lab-planning use only.

Education

Primer melting temperature by Wallace's 2-4 rule and the SantaLucia 1998 unified nearest-neighbor model (16 stacking parameters, terminal initiation, salt correction at your primer/[Na+] concentrations), plus GC content and suggested Ta = Tm − 5°C. Derived from Wallace 1979, SantaLucia 1998, Primer3 2012. Primer-screening use only.

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Audit a tagged PDF's logical structure tree against PDF/UA-1 (ISO 14289-1) semantics: RoleMap termination, H1-H6 heading hierarchy, Alt text on Figure/Formula, RFC 3066 language tags, illegal nesting, and structure-vs-content MCID reading order — each finding labeled with its Matterhorn Protocol checkpoint.

Education

Convert recombination counts ↔ genetic distance with linear, Haldane (−½ln(1−2r)) and Kosambi (¼ln((1+2r)/(1−2r))) map functions, SE of r, and interval summation with predicted r. Derived from Sturtevant 1913, Haldane 1919, Kosambi 1944, Griffiths. Educational use only.

Health

Compute RPP = HR × SBP, a non-invasive index of myocardial O₂ demand. Normal resting 6,000–10,000; >12,000 angina threshold. Derived from Gobel 1978, StatPearls, LITFL, Braunwald, Fletcher 2013. Not medical advice.

Health

Compute CaO₂ = 1.34×Hb×SaO₂ + 0.003×PaO₂ and (if mixed-venous values supplied) CvO₂, a-v difference, extraction ratio, DO₂, VO₂. Derived from Hüfner 1894, West, StatPearls, LITFL, Leach 2002. Not medical advice.

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Calculate the PaO₂/FiO₂ ratio and classify ARDS severity per the Berlin Definition (2012). Derived from ARDS Definition Task Force JAMA 2012, LITFL, and Rice 2007. Not medical advice.

Health

Calculate the osmolar gap (osmolal gap, OG) = measured serum osmolality − calculated osmolality. Calculated osmolality uses the conventional formula 2 × Na + Glucose/18 + BUN/2.8 (mg/dL) or the SI formula 2 × Na + Glucose + Urea (mmol/L). A normal OG is approximately −10 to +10 mOsm/kg. An elevated OG indicates unmeasured osmoles — ethanol; toxic alcohols (methanol, ethylene glycol, diethylene glycol, propylene glycol); mannitol, sorbitol, glycerol; severe DKA; sepsis/end-stage renal disease. An optional ethanol level computes the ethanol-corrected gap (OG_corr = OG − EtOH/4.6) to reveal a residual unmeasured osmole such as methanol or ethylene glycol. A normal OG does NOT exclude late-stage toxic-alcohol poisoning (the parent compound is metabolized to acids, raising the anion gap instead). Derived from Kraut 2024, Whittington 2009, and MDCalc. Interpret with anion gap, blood gas, and history. Not medical advice.

Health

Analyze Red Cell Distribution Width (RDW) with MCV to help differentiate anemias. RDW-CV reference ≈ 11.5–14.5%, RDW-SD ≈ 39–46 fL (lab-dependent). Elevated RDW reflects anisocytosis. Classic Bessman patterns: high RDW + low MCV → iron deficiency anemia (IDA), which raises the RDW early — before MCV/Hb fall; normal RDW + low MCV → thalassemia trait (uniform microcytosis). Other patterns: high RDW + high MCV → megaloblastic anemia (B12/folate), MDS, drugs, hemolysis with reticulocytosis, preleukemia, or mixed populations (combined iron + B12 deficiency, post-transfusion); high RDW + normal MCV → early/mixed nutritional deficiency, dimorphic anemia, marrow recovery; normal RDW + normal MCV → anemia of chronic disease is classically normocytic. Interpret with Hb, ferritin, Hb electrophoresis, and clinical context. Based on Bessman 1983 and Teixeira 2014. Not medical advice.

Health

Calculate the Padua Prediction Score to stratify venous thromboembolism (VTE) risk in hospitalized medical (non-surgical) patients. 11 categories: 3 points each (active cancer metastatic or chemo/radiation ≤6 months, previous VTE, reduced mobility ≥3 days, known thrombophilia); 2 points (recent ≤1 month trauma and/or surgery); 1 point each (age ≥70, heart and/or respiratory failure, acute MI or ischemic stroke, acute infection and/or rheumatologic disorder, obesity BMI ≥30, ongoing hormonal treatment). Interpretation: <4 low risk (VTE ~0.3% — case-by-case prophylaxis); ≥4 high risk (VTE ~11% without prophylaxis — recommend pharmacologic prophylaxis, e.g., LMWH). Derived from Barbar et al. 2010. Not medical advice.

Health

Calculate the Ranson criteria to grade acute pancreatitis severity and estimate mortality (non-gallstone/classic variant). Five criteria at admission (age >55, WBC >16,000, glucose >200, AST >250, LDH >350) and six at 48 hours (hematocrit fall >10%, BUN rise >5 mg/dL, calcium <8, PaO₂ <60, base deficit >4, fluid sequestration >6 L); each = 1 point, total 0–11. Interpretation: 0-2 mild (~2% mortality), 3-4 moderate (~15%), 5-6 severe (~40%), ≥7 very severe (~100%). The gallstone variant uses different thresholds and is NOT included. Derived from Ranson et al. 1974. Not medical advice.

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Study public Reddit discussions around a topic with multilingual query expansion, evidence-aware synthesis, themes, sentiment, and a cautious conclusion.