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Foundational molecules, metabolism, enzymes, genetics and lab interpretation – compact, high-yield, clinically anchored. 🔥
\(\Delta G=\Delta G^{\circ'}+RT\ln Q\). Unfavourable steps run forward by coupling to ATP hydrolysis or by substrate/product “pull” in a pathway. Proton-motive force (\(\Delta p\)) across the inner mitochondrial membrane drives ATP synthase.
| Topic | Equation | Use / Memory Tip |
|---|---|---|
| Henderson–Hasselbalch | \( \mathrm{pH}=\mathrm{p}K_a+\log\frac{[\text{A}^-]}{[\text{HA}]} \) | Buffers resist pH near \(pK_a\). |
| Bicarbonate buffer | \( \mathrm{pH}\approx6.1+\log\frac{[\mathrm{HCO_3^-}]}{0.03\times \mathrm{pCO_2}} \) | ABG interpretation (mmol/L & kPa→mmHg conversion as needed). |
| Isoelectric point (diprotic aa) | \( pI\approx\frac{pK_{a1}+pK_{a2}}{2} \) | For neutral side chains. |
| Michaelis–Menten | \( v=\frac{V_{\max}[S]}{K_m+[S]} \) | \(K_m\) = [S] at \(v=\tfrac12V_{\max}\). |
| Lineweaver–Burk | \( \tfrac1v=\tfrac{K_m}{V_{\max}}\tfrac1{[S]}+\tfrac1{V_{\max}} \) | Straight-line inhibition analysis. |
| Turnover number | \( k_{cat}=\tfrac{V_{\max}}{[E]_T} \) | “Per-enzyme speed”. |
| Gibbs free energy | \( \Delta G=\Delta G^{\circ'}+RT\ln Q \) | Negative drives spontaneity. |
| At equilibrium | \( \Delta G^{\circ'}=-RT\ln K_{eq} \) | Relates chemistry to equilibrium. |
| ATP accounting (typical) | \(\sim 30\) ATP/glucose (malate–aspartate shuttle) | Rough yield; varies by tissue/shuttle. |
| Beer–Lambert | \( A=\varepsilon c l \) | Absorbance for concentration. |
| Osmolarity | \( \mathrm{Osm}=i\sum c \) | Van ’t Hoff factor \(i\). |
| Anion gap | \(\text{AG}=[\mathrm{Na}^+]-([\mathrm{Cl}^-]+[\mathrm{HCO_3^-}])\) | Differential of metabolic acidosis. |
| Creatinine clearance (est.) | \(\text{CrCl}\approx \frac{(140-\text{age})\times \text{weight}}{72\times \text{Cr}}\) (×0.85 if female) | Cockcroft–Gault; units context required. |
| Pathway (compartment) | Rate-limiting / key steps | Allostery & Hormonal Control |
|---|---|---|
| Glycolysis (cytosol) | Hexokinase/Glucokinase; PFK-1; Pyruvate kinase | PFK-1 ↑ AMP, F-2,6-BP; ↓ ATP, citrate. Insulin ↑ glycolysis via F-2,6-BP (PFK-2). Glucagon does the opposite. |
| PDH (mitochondria) | E1–E3; needs TPP, lipoate, FAD, NAD\(^+\), CoA | Inhibited by acetyl-CoA, NADH; activated by ADP. Arsenic poisons lipoate. |
| TCA (mitochondria) | Citrate synthase, isocitrate DH, α-KG DH | ↑ ADP; ↓ ATP, NADH. Fluoroacetate blocks aconitase. |
| OxPhos (mitochondria) | Complex I–IV, ATP synthase | Inhibitors: rotenone (I), antimycin A (III), cyanide/CO (IV), oligomycin (ATP synthase). Uncouplers: 2,4-DNP, thermogenin. |
| Gluconeogenesis (cytosol/mito/ER) | Pyruvate carboxylase, PEPCK, F-1,6-BPase, G-6-Pase | F-1,6-BPase ↓ by F-2,6-BP/AMP. Requires ATP/GTP and substrates (lactate, glycerol, alanine). |
| Glycogen (cytosol) | Glycogen synthase; glycogen phosphorylase | Insulin → dephosphorylation → synthase on; glucagon/epinephrine → phosphorylation → phosphorylase on. |
| PPP (cytosol) | G6PD | Produces NADPH (antioxidant/FA synthesis) & ribose. Haemolysis if deficient under oxidative stress. |
| FA Synthesis (cytosol) | Acetyl-CoA carboxylase (biotin) | ↑ by citrate/insulin; ↓ by palmitoyl-CoA/glucagon. Uses NADPH. |
| β-Oxidation (mito) | CPT-I shuttle | Blocked by malonyl-CoA. Carnitine deficiency → lipid accumulation, weakness. |
| Cholesterol synthesis (cytosol/ER) | HMG-CoA reductase | ↓ by statins; ↑ by insulin, ↓ by glucagon. LDL receptor mediates uptake. |
| Urea cycle (mito+cytosol) | CPS-I, OTC, ASS, ASL, arginase | N-acetylglutamate activates CPS-I. Defects → hyperammonaemia; treat with N-scavengers, restrict protein. |
PFK-1 integrates cell energy status: high ATP/citrate (plenty of energy) ↓ glycolysis; AMP/F-2,6-BP (low energy/high insulin) ↑ glycolysis. This single node explains fasting (gluconeogenesis on) vs fed (glycolysis on).
| Vitamin | Coenzyme / Role | Deficiency clue |
|---|---|---|
| B\(_1\) (Thiamine) | TPP for PDH, α-KG DH, transketolase | Wernicke–Korsakoff, beriberi; ↓ RBC transketolase. |
| B\(_2\) (Riboflavin) | FAD/FMN (redox) | Cheilosis, corneal vascularisation. |
| B\(_3\) (Niacin) | NAD\(^+\)/NADP\(^+\) (redox) | Pellagra: 3 D’s (dermatitis, diarrhoea, dementia). |
| B\(_5\) | CoA (acyl transfers) | Dermatitis, enteritis. |
| B\(_6\) (Pyridoxine) | PLP (transamination, heme) | Neuropathy, sideroblastic anaemia. |
| B\(_7\) (Biotin) | Carboxylation (ACC, pyruvate carboxylase) | Avidin in raw eggs binds biotin. |
| Folate (B\(_9\)) | THF (1-C transfers) | Megaloblastic anaemia; ↑ homocysteine, normal methylmalonic acid. |
| B\(_{12}\) | Methylmalonyl-CoA→succinyl-CoA; homocysteine→methionine | Megaloblastic, neuropathy; ↑ methylmalonic acid. |
| C | Hydroxylation (collagen), antioxidant | Scurvy (bleeding gums, poor wound healing). |
| A | Retinal/retinoic acid (vision, epithelia) | Night blindness; teratogenic in excess. |
| D | Calcium/phosphate homeostasis | Rickets/osteomalacia. |
| E | Antioxidant | Haemolysis, posterior column/ataxia. |
| K | γ-carboxylation of clotting factors | Bleeding; ↑ PT/INR. |
Final thought: Biochemistry is logic with molecules - name the gatekeeper, the fuel state, and the regulator, and most problems unravel. You’ve got this. 💪