Cellular Respiration
Cellular respiration is the τ-categorical catabolic morphism that oxidizes organic substrates (glucose, fatty acids, amino acids) using a terminal electron acceptor (O₂ in aerobes) to recharge the ATP/ADP oscillator. It is the agency-sector counterpart to photosynthesis: where carbon fixation imports free energy from the γ-fiber, respiration releases it through controlled oxidation back into the metabolic loop.
τ-Definition
Cellular respiration is the τ-categorical catabolic morphism that oxidizes organic substrates (glucose, fatty acids, amino acids) using a terminal electron acceptor (O₂ in aerobes) to recharge the ATP/ADP oscillator. It is the agency-sector counterpart to photosynthesis: where carbon fixation imports free energy from the γ-fiber, respiration releases it through controlled oxidation back into the metabolic loop.
Categorical invariant. Catabolic oxidation morphism: C₆H₁₂O₆ + 6 O₂ → 6 CO₂ + 6 H₂O; ΔG ≈ -2870 kJ/mol per glucose, captured as ~30-32 ATP (free-energy efficiency ≈34%).
Primary registry anchor:
VI.T09
τ-Derivation Chain
Empirical Correlate
Biomarker: Resting O₂ consumption (VO₂) ≈ 250-400 mL/min in adult humans (≈3.5 mL O₂ kg⁻¹ min⁻¹ = 1 MET); respiratory quotient (RQ = CO₂ produced / O₂ consumed) ≈ 0.7 (fat) to 1.0 (carbohydrate); ATP yield ~30-32 per glucose (aerobic) vs ~2 per glucose (fermentation).
Measurable range: Per-cell O₂ consumption ~10⁹-10¹⁰ molecules/s in active cells; whole-body resting metabolic rate 80-100 W; mitochondrial Δψ ≈ 150-180 mV; basal mitochondrial respiration ~4-12 pmol O₂ s⁻¹ per 10⁵ cells (Seahorse assay).
Observation method: Indirect calorimetry (VO₂, VCO₂), Seahorse extracellular flux analysis (oxygen consumption rate, OCR), Clark-electrode O₂ measurement, ¹³C-metabolic flux analysis, PET imaging (¹⁸F-FDG uptake).
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- Krebs cycle stereospecificity (citrate synthase produces only S-citryl-CoA)
- all redox cofactors (NAD⁺, FAD) carry chiral nicotinamide / flavin centers
Manuscript reference: manuscript-sources/book-06/part03/ch19-metabolism.tex
Lean Coverage
Status: Planned