Apoptosis
Apoptosis is the τ-categorical controlled-termination morphism: a cellular-level instantiation of Repair-Budget Exhaustion (VI.P16) in which a cell's defect functional crosses its individual threshold and the cell executes its own removal in service of multicellular Loop_L stability. It is the cell-scale analog of organism-level death, but executed cooperatively by the colimit (VI.D48).
τ-Definition
Apoptosis is the τ-categorical controlled-termination morphism: a cellular-level instantiation of Repair-Budget Exhaustion (VI.P16) in which a cell's defect functional crosses its individual threshold and the cell executes its own removal in service of multicellular Loop_L stability. It is the cell-scale analog of organism-level death, but executed cooperatively by the colimit (VI.D48).
Categorical invariant. Apoptosis = controlled exit morphism α : C ↦ ∅ at Δ(C) > Δ_threshold(C), preserving the parent multicellular Loop_L by removing a defect-saturated cell — the cooperative cell-scale realisation of VI.P16.
Primary registry anchor:
VI.P16
τ-Derivation Chain
Empirical Correlate
Biomarker: Caspase-3/7 cleavage activity; Annexin V binding (phosphatidylserine externalisation); cytochrome c release from mitochondria; DNA-laddering (180 bp fragmentation); TUNEL-positive cells; Bax/Bcl-2 ratio.
Measurable range: Per-day apoptosis count in adult human ~50-70 billion cells (~1% of total cell population); caspase-3 activation kinetics ~30 min from trigger to commitment; mitochondrial outer-membrane permeabilization (MOMP) ~minutes; full apoptotic clearance ~hours.
Observation method: Annexin V/PI flow cytometry; TUNEL in-situ staining; cleaved caspase-3 immunofluorescence; FRET-based caspase activity reporters in live cells; mitochondrial cytochrome c immunostaining.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- stereospecificity of caspases (L-amino-acid scaffold) preserved through every apoptotic execution
- DNA fragmentation preserves B-form chirality of resulting nucleosomal fragments
Manuscript reference: manuscript-sources/book-06/part05/ch30-death-aging.tex
Lean Coverage
Status: Planned