Skew-Laplace and Cell-Size Distribution in Microbial Axenic Cultures: Statistical Assessment and Biological Interpretation

Table 2

Evolution along the incubation time of the 𝜇,𝛼,𝛽, and N _crit resulting from the skew-Laplace fit of FS, SS, and Multisizer values (only three microorganisms from Table 1).

FS
	6 h	20 h	36 h
Escherichia coli	𝜇=575	𝜇=580	𝜇=576
	𝛼=0.023	𝛼=0.025	𝛼=0.011
	𝛽=−0.022	𝛽=−0.028	𝛽=−0.024
	𝑁crit=245	𝑁crit=541	𝑁crit=1899
Staphylococcus aureus	𝜇=565	𝜇=575	𝜇=521
	𝛼=0.006	𝛼=0.009	𝛼=0.010
	𝛽=−0.017	𝛽=−0.018	𝛽=−0.013
	𝑁crit=249	𝑁crit=1724	𝑁crit=691
Bacillus subtilis	𝜇=592	𝜇=472	𝜇=497
	𝛼=0.008	𝛼=0.054	𝛼=0.032
	𝛽=−0.023	𝛽=−0.012	𝛽=−0.010
	𝑁crit=615	𝑁crit=223	𝑁crit=114
SS
	6 h	20 h	36 h
Escherichia coli	𝜇=432	𝜇=438	𝜇=427
	𝛼=0.071	𝛼=0.056	𝛼=0.103
	𝛽=−0.024	𝛽=−0.024	𝛽=−0.011
	𝑁crit=201	𝑁crit=242	𝑁crit=278
Staphylococcus aureus	𝜇=424	𝜇=424	𝜇=428
	𝛼=0.134	𝛼=0.133	𝛼=0.129
	𝛽=−0.009	𝛽=−0.011	𝛽=−0.013
	𝑁crit=1082	𝑁crit=2043	𝑁crit=1753
Bacillus subtilis	𝜇=427	𝜇=444	𝜇=434
	𝛼=0.168	𝛼=0.119	𝛼=0.145
	𝛽=−0.016	𝛽=−0.026	𝛽=−0.027
	𝑁crit=246	𝑁crit=280	𝑁crit=2305
Multisizer
	6 h	20 h	36 h
Escherichia coli	𝜇=1.046 microns	𝜇=1.017 microns	𝜇=1.060 microns
	𝛼=9.537	𝛼=10.093	𝛼=8.806
	𝛽=−6.461	𝛽=−5.480	𝛽=−5.866
	𝑁crit=423	𝑁crit=338	𝑁crit=420
Staphylococcus aureus	𝜇=0.976 microns	𝜇=0.815 microns	𝜇=0.750 microns
	𝛼=9.90	𝛼=18.884	𝛼=10.854
	𝛽=−2.968	𝛽=−2.664	𝛽=−3.410
	𝑁crit=361	𝑁crit=163	𝑁crit=135
Bacillus subtilis	𝜇=0.910 microns	𝜇=1.204 microns	𝜇=0.898 microns
	𝛼=10.200	𝛼=11.050	𝛼=10.733
	𝛽=−2.410	𝛽=−2.151	𝛽=−2.422
	𝑁crit=93	𝑁crit=146	𝑁crit=348

The parameter 𝜇 of the skew-Laplace distribution should not be confused with the growth rate also represented by 𝜇.