TABLE 1.

Statistical analysis of ²¹⁰Po α–particle track distribution data (7) using Poisson, log normal (LN) and Poisson-log normal (P – LN) functions.

Labeling concentration (kBq/mL)†	Exposure Time (d)	Function		<n> ‡ (tracks/cell)	σ §	v	χ̂2	R2
0.52 ± 0.051	52d	Poisson	}	6.7*	—	7	149
		LN			0.81	6	3.2	—
		P – LN			1.1	6	6.5
		Constrained LS fit to LN		6.7* ± 1.1	0.80 ± 0.097	5	3.9	0.78
		LS fit to LN		8.2 ± 1.7	0.88 ± 0.11	6	3.2	0.81
	Convolved (52, 26, 7d)	Poisson	}	5.5	—	19	7.7E+07
		LN			0.71	18	3.6	—
		P – LN			0.96	18	12
		LS fit to LN		7.1 ± 0.63	0.80 ± 0.056	18	3.1	0.92
3.8 ± 0.36	4 d	Poisson	}	7.3*	—	7	25
		LN			0.64	6	0.5	—
		P – LN			0.60	6	1.1
		Constrained LS fit to LN		7.3* ± 0.32	0.61 ± 0.029	5	1.2	0.98
		LS fit to LN		7.4 ± 0.33	0.62 ± 0.029	6	0.9	0.98
	Convolved (0.67, 4d)	Poisson	}	6.1	—	16	1.2E+07
		LN			0.62	15	2.8	—
		P – LN			0.57	15	2.1
		LS fit to LN		6.9 ± 0.22	0.59 ± 0.023	15	1.9	0.98
67 ± 6.6	1 d	Poisson	}	5.7*	—	7	1.1
		LN			0.54	6	5.6	—
		P – LN			0.28	6	0.66
		Constrained LS fit to LN		5.7* ± 0.33	0.48 ± 0.044	5	15	0.88
		LS fit to LN		6.5 ± 0.29	0.52 ± 0.033	6	9.5	0.95
	Convolved (0.25, 1d)	Poisson	}	5.7	—	14	9.6E+06
		LN			0.62	13	8.4	—
		P – LN			0.49	13	1.7
		LS fit to LN		6.7 ± 0.25	0.54 ± 0.029	13	6.3	0.97

^*The arithmetic mean <n> with * is decay corrected for t₂ > t₁, otherwise <n> is obtained from the raw data. σ, v are the log normal shape parameter and degrees of freedom, respectively. The values are shown upto two significant digits.

^†Errors are based on SD of triplicate measurements of scintillation counts and cell counts.

^‡Standard Errors are provided by least-squares fit of the data to a LN function using SigmaPlot (SPSS).

^§Optimized value of σ (shape parameter) obtained via minimization of chi-square (χ̂²) procedure.