Abstract
Robust quantitative estimation of average whole cell mitochondrial dysfunction is a useful tool for assessing sensitivity to apoptotic stimuli induced either by novel agents, or following manipulation of apoptotic threshold by pharmacological or functional genomics approaches. We have mathematically modelled the kinetics of whole cell mitochondrial membrane potential depolarisation within a population of cells as a Bernouli transition. An exponential distribution enables the median latency preceding mitochondrial membrane potential disispation to be derived. The kinetic model can be fitted to in vitro single cell resolution data derived from kinetic flow cytometric studies by non-linear regression. We propose that kinetic determination of cumulative frequency distibutions provides a useful approach for estimating apoptosis sensitivity across cell populations over short time-frames.
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Abbreviations
- AF:
-
amphipathic fluorophore
- MIMP:
-
mitochondrial inner membrane permeabilization
- MOMP:
-
mitochondrial outer membrane permeabilization
- PT:
-
permeability transition
References
Kerr JF, Wyllie AH, Currie AR. Apoptosis: A basic biological phenomenon with wide-ranging implications in tissue kinetics. Br J Cancer 1972; 26: 239–257
Haworth RA, Hunter DR. The Ca2+-induced membrane transition in mitochondria. II. Nature of the Ca2+ trigger site. Arch Biochem Biophys 1979; 195: 460–467
Henry-Mowatt J, Dive C, Martinou JC, James D. Role of mitochondrial membrane permeabilization in apoptosis and cancer. Oncogene 2004; 23: 2850–2860
Szabo I. and Zoratti M. The mitochondrial megachannel is the permeability transition pore. J Bioenerg Biomembr 1992; 24: 111–117
Crompton M. The mitochondrial permeability transition pore and its role in cell death. Biochem J, 1999; 341(Pt 2): 233– 249
Huser J, Rechenmacher CE, Blatter LA. Imaging the permeability pore transition in single mitochondria. Biophys J 1998; 74: 2129–2137
Minamikawa T, Williams DA, Bowser DN, Nagley P. Mitochondrial permeability transition and swelling can occur reversibly without inducing cell death in intact human cells. Exp Cell Res 1999; 246: 26–37
Kokoszka JE, Waymire KG, Levy SE, et~al. The ADP/ATP translocator is not essential for the mitochondrial permeability transition pore. Nature 2004; 427: 461–465
Szabo I, Zoratti M. The mitochondrial permeability transition pore may comprise VDAC molecules. I. Binary structure and voltage dependence of the pore. Febs Lett 1993; 330: 201– 205
McEnery MW, Snowman AM, Trifiletti RR, Snyder SH. Isolation of the mitochondrial benzodiazepine receptor: Association with the voltage-dependent anion channel and the adenine nucleotide carrier. Proc Natl Acad Sci USA, 1992; 89: 3170–3174
Li P, Nijhawan D, Budlhardjo I, et~al. Cytochrome c and dATP-dependent formation of Apaf-1/caspase-9 complex initiates an apoptotic protease cascade. Cell 1997; 91: 479–489
Du C, Fang M, Li Y, Li L, Wang X. Smac, a mitochondrial protein that promotes cytochrome c-dependent caspase activation by eliminating IAP inhibition. Cell, 2000; 102: 33–42
Susin SA, Lorenzo HK, Zamzami N, et al. Mitochondrial release of caspase-2 and -9 during the apoptotic process. J Exp Med 1999; 189: 381–394
Goldstein JC, Waterhouse NJ, Juin P, Evan GI, Green DR. The coordinate release of cytochrome c during apoptosis is rapid, complete and kinetically invariant [In Process Citation]. Nat Cell Biol 2000; 2: 156–162
Fennell DA. Cotter FE. Stochastic modeling of apoptosis tolerance distributions measured by multivariate flow analysis of human leukemia cells. Cytometry, 2000; 39: 266–274
Salvioli S, Ardizzoni A, Franceschi C, Cossarizza A. JC-1, but not DiOC6(3) or rhodamine 123, is a reliable fluorescent probe to assess delta psi changes in intact cells: Implications for studies on mitochondrial functionality during apoptosis. FEBS Lett, 1997; 411: 77–82
Zamzami N, Kroemer, G. Methods to measure membrane potential and permeability transition in the mitochondria during apoptosis. Methods Mol Biol 2004; 282: 103–116
Wolbers F, Buijtenhuijs P, Haanen C, Vermes I. Apoptotic cell death kinetics in vitro depend on the cell types and the inducers used. Apoptosis 2004; 9: 385–392
Okaro AC, Fennell DA, Corbo M, Davidson BR, Cotter FE. Pk11195, a mitochondrial benzodiazepine receptor antagonist, reduces apoptosis threshold in Bcl-X(L) and Mcl-1 expressing human cholangiocarcinoma cells. Gut, 2002; 51: 556–561
Hardy K, Stark J. Mathematical models of the balance between apoptosis and proliferation. Apoptosis, 2002; 7: 373–381
Sun K, Krause GF, Mayer FL, Ellersieck MR, Basu AP. Estimation of acute toxicity by fitting a dose-time-response surface. Risk Anal 1995; 15: 247–252
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Fennell, D.A., Pallaska, A., Corbo, M. et al. Stochastic modelling of apoptosis kinetics. Apoptosis 10, 447–452 (2005). https://doi.org/10.1007/s10495-005-0818-2
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DOI: https://doi.org/10.1007/s10495-005-0818-2