Amphiphilic Pseudo Amino Acid Composition (APseAAC) Descriptor
Source:R/desc-14-APAAC.R
extractAPAAC.RdThis function calculates the Amphiphilic Pseudo Amino Acid
Composition (APseAAC, or APAAC) descriptor (dim: 20 + (n * lambda),
n is the number of properties selected, default is 80).
Usage
extractAPAAC(
x,
props = c("Hydrophobicity", "Hydrophilicity"),
lambda = 30,
w = 0.05,
customprops = NULL
)Arguments
- x
A character vector, as the input protein sequence.
- props
A character vector, specifying the properties used. 2 properties are used by default, as listed below:
'Hydrophobicity'Hydrophobicity value of the 20 amino acids
'Hydrophilicity'Hydrophilicity value of the 20 amino acids
- lambda
The lambda parameter for the APAAC descriptors, default is 30.
- w
The weighting factor, default is 0.05.
- customprops
A
n x 21named data frame containsncustomized property. Each row contains one property. The column order for different amino acid types is'AccNo','A','R','N','D','C','E','Q','G','H','I','L','K','M','F','P','S','T','W','Y','V', and the columns should also be exactly named like this. TheAccNocolumn contains the properties' names. Then users should explicitly specify these properties with these names in the argumentprops. See the examples below for a demonstration. The default value forcustompropsisNULL.
Note
Note the default 20 * 2 prop values have already been
independently given in the function. Users can also specify
other (up to 544) properties with the Accession Number in
the AAindex data, with or without the default
three properties, which means users should explicitly specify
the properties to use. For this descriptor type, users need to
intelligently evaluate the underlying details of the descriptors
provided, instead of using this function with their data blindly.
It would be wise to use some negative and positive control comparisons
where relevant to help guide interpretation of the results.
References
Kuo-Chen Chou. Prediction of Protein Cellular Attributes Using Pseudo-Amino Acid Composition. PROTEINS: Structure, Function, and Genetics, 2001, 43: 246-255.
Kuo-Chen Chou. Using Amphiphilic Pseudo Amino Acid Composition to Predict Enzyme Subfamily Classes. Bioinformatics, 2005, 21, 10-19.
JACS, 1962, 84: 4240-4246. (C. Tanford). (The hydrophobicity data)
PNAS, 1981, 78:3824-3828 (T.P.Hopp & K.R.Woods). (The hydrophilicity data)
See also
See extractPAAC for the
pseudo amino acid composition (PseAAC) descriptor.
Author
Nan Xiao <https://nanx.me>
Examples
x <- readFASTA(system.file("protseq/P00750.fasta", package = "protr"))[[1]]
extractAPAAC(x)
#> Pc1.A Pc1.R Pc1.N
#> 3.537412e+01 3.930458e+01 2.161752e+01
#> Pc1.D Pc1.C Pc1.E
#> 2.849582e+01 3.733935e+01 2.653059e+01
#> Pc1.Q Pc1.G Pc1.H
#> 2.653059e+01 4.520027e+01 1.670445e+01
#> Pc1.I Pc1.L Pc1.K
#> 1.965229e+01 4.225242e+01 2.161752e+01
#> Pc1.M Pc1.F Pc1.P
#> 6.878302e+00 1.768706e+01 2.947844e+01
#> Pc1.S Pc1.T Pc1.W
#> 4.913073e+01 2.456536e+01 1.277399e+01
#> Pc1.Y Pc1.V Pc2.Hydrophobicity.1
#> 2.358275e+01 2.751321e+01 2.196320e-04
#> Pc2.Hydrophilicity.1 Pc2.Hydrophobicity.2 Pc2.Hydrophilicity.2
#> 1.025766e-03 -3.088876e-04 -1.834385e-04
#> Pc2.Hydrophobicity.3 Pc2.Hydrophilicity.3 Pc2.Hydrophobicity.4
#> 1.174146e-03 7.400156e-04 -1.105715e-03
#> Pc2.Hydrophilicity.4 Pc2.Hydrophobicity.5 Pc2.Hydrophilicity.5
#> -4.493680e-04 1.766358e-03 1.471212e-03
#> Pc2.Hydrophobicity.6 Pc2.Hydrophilicity.6 Pc2.Hydrophobicity.7
#> -1.441572e-03 -4.913600e-03 -1.678053e-05
#> Pc2.Hydrophilicity.7 Pc2.Hydrophobicity.8 Pc2.Hydrophilicity.8
#> 7.312356e-04 -1.885399e-03 -1.928708e-03
#> Pc2.Hydrophobicity.9 Pc2.Hydrophilicity.9 Pc2.Hydrophobicity.10
#> -2.931177e-03 -1.555660e-03 2.916597e-03
#> Pc2.Hydrophilicity.10 Pc2.Hydrophobicity.11 Pc2.Hydrophilicity.11
#> 3.602591e-03 1.055082e-04 8.697920e-04
#> Pc2.Hydrophobicity.12 Pc2.Hydrophilicity.12 Pc2.Hydrophobicity.13
#> -9.276413e-04 -2.001384e-03 1.705044e-03
#> Pc2.Hydrophilicity.13 Pc2.Hydrophobicity.14 Pc2.Hydrophilicity.14
#> 4.364007e-03 7.883453e-04 -9.441693e-04
#> Pc2.Hydrophobicity.15 Pc2.Hydrophilicity.15 Pc2.Hydrophobicity.16
#> -3.133437e-04 -3.599332e-03 3.689079e-05
#> Pc2.Hydrophilicity.16 Pc2.Hydrophobicity.17 Pc2.Hydrophilicity.17
#> 2.483867e-03 4.832798e-04 2.465788e-03
#> Pc2.Hydrophobicity.18 Pc2.Hydrophilicity.18 Pc2.Hydrophobicity.19
#> -3.142728e-04 2.021961e-03 6.421283e-05
#> Pc2.Hydrophilicity.19 Pc2.Hydrophobicity.20 Pc2.Hydrophilicity.20
#> -8.896690e-04 -2.986886e-04 9.304039e-04
#> Pc2.Hydrophobicity.21 Pc2.Hydrophilicity.21 Pc2.Hydrophobicity.22
#> -6.777458e-04 1.646818e-03 3.193506e-03
#> Pc2.Hydrophilicity.22 Pc2.Hydrophobicity.23 Pc2.Hydrophilicity.23
#> 3.270656e-03 2.533569e-03 2.478252e-03
#> Pc2.Hydrophobicity.24 Pc2.Hydrophilicity.24 Pc2.Hydrophobicity.25
#> -2.489106e-03 -1.031008e-03 -3.992322e-03
#> Pc2.Hydrophilicity.25 Pc2.Hydrophobicity.26 Pc2.Hydrophilicity.26
#> -2.596060e-03 8.690771e-04 -1.221378e-03
#> Pc2.Hydrophobicity.27 Pc2.Hydrophilicity.27 Pc2.Hydrophobicity.28
#> 5.208649e-03 4.617400e-03 -1.088584e-03
#> Pc2.Hydrophilicity.28 Pc2.Hydrophobicity.29 Pc2.Hydrophilicity.29
#> -2.512263e-03 1.387641e-03 2.060890e-03
#> Pc2.Hydrophobicity.30 Pc2.Hydrophilicity.30
#> 3.177340e-04 1.451909e-03
myprops <- data.frame(
AccNo = c("MyProp1", "MyProp2", "MyProp3"),
A = c(0.62, -0.5, 15), R = c(-2.53, 3, 101),
N = c(-0.78, 0.2, 58), D = c(-0.9, 3, 59),
C = c(0.29, -1, 47), E = c(-0.74, 3, 73),
Q = c(-0.85, 0.2, 72), G = c(0.48, 0, 1),
H = c(-0.4, -0.5, 82), I = c(1.38, -1.8, 57),
L = c(1.06, -1.8, 57), K = c(-1.5, 3, 73),
M = c(0.64, -1.3, 75), F = c(1.19, -2.5, 91),
P = c(0.12, 0, 42), S = c(-0.18, 0.3, 31),
T = c(-0.05, -0.4, 45), W = c(0.81, -3.4, 130),
Y = c(0.26, -2.3, 107), V = c(1.08, -1.5, 43)
)
# use 2 default properties, 4 properties from the
# AAindex database, and 3 cutomized properties
extractAPAAC(
x,
customprops = myprops,
props = c(
"Hydrophobicity", "Hydrophilicity",
"CIDH920105", "BHAR880101",
"CHAM820101", "CHAM820102",
"MyProp1", "MyProp2", "MyProp3"
)
)
#> Pc1.A Pc1.R Pc1.N
#> 2.726537e+01 3.029486e+01 1.666217e+01
#> Pc1.D Pc1.C Pc1.E
#> 2.196377e+01 2.878011e+01 2.044903e+01
#> Pc1.Q Pc1.G Pc1.H
#> 2.044903e+01 3.483909e+01 1.287531e+01
#> Pc1.I Pc1.L Pc1.K
#> 1.514743e+01 3.256697e+01 1.666217e+01
#> Pc1.M Pc1.F Pc1.P
#> 5.301600e+00 1.363269e+01 2.272114e+01
#> Pc1.S Pc1.T Pc1.W
#> 3.786857e+01 1.893429e+01 9.845828e+00
#> Pc1.Y Pc1.V Pc2.Hydrophobicity.1
#> 1.817691e+01 2.120640e+01 1.692861e-04
#> Pc2.Hydrophilicity.1 Pc2.CIDH920105.1 Pc2.BHAR880101.1
#> 7.906313e-04 3.089061e-03 1.997195e-03
#> Pc2.CHAM820101.1 Pc2.CHAM820102.1 Pc2.MyProp1.1
#> 1.525781e-03 2.118788e-03 1.692861e-04
#> Pc2.MyProp2.1 Pc2.MyProp3.1 Pc2.Hydrophobicity.2
#> 7.906313e-04 1.439530e-03 -2.380818e-04
#> Pc2.Hydrophilicity.2 Pc2.CIDH920105.2 Pc2.BHAR880101.2
#> -1.413892e-04 -6.083517e-04 1.166533e-03
#> Pc2.CHAM820101.2 Pc2.CHAM820102.2 Pc2.MyProp1.2
#> 1.928231e-03 -1.406107e-03 -2.380818e-04
#> Pc2.MyProp2.2 Pc2.MyProp3.2 Pc2.Hydrophobicity.3
#> -1.413892e-04 3.095179e-03 9.049982e-04
#> Pc2.Hydrophilicity.3 Pc2.CIDH920105.3 Pc2.BHAR880101.3
#> 5.703830e-04 -6.052530e-04 1.407593e-03
#> Pc2.CHAM820101.3 Pc2.CHAM820102.3 Pc2.MyProp1.3
#> 1.208629e-05 -3.818626e-03 9.049982e-04
#> Pc2.MyProp2.3 Pc2.MyProp3.3 Pc2.Hydrophobicity.4
#> 5.703830e-04 7.898860e-05 -8.522536e-04
#> Pc2.Hydrophilicity.4 Pc2.CIDH920105.4 Pc2.BHAR880101.4
#> -3.463601e-04 -9.747006e-04 -2.234010e-03
#> Pc2.CHAM820101.4 Pc2.CHAM820102.4 Pc2.MyProp1.4
#> 1.447898e-03 -3.222112e-03 -8.522536e-04
#> Pc2.MyProp2.4 Pc2.MyProp3.4 Pc2.Hydrophobicity.5
#> -3.463601e-04 1.759628e-03 1.361459e-03
#> Pc2.Hydrophilicity.5 Pc2.CIDH920105.5 Pc2.BHAR880101.5
#> 1.133968e-03 2.993837e-03 2.675103e-03
#> Pc2.CHAM820101.5 Pc2.CHAM820102.5 Pc2.MyProp1.5
#> 4.224830e-03 8.000519e-04 1.361459e-03
#> Pc2.MyProp2.5 Pc2.MyProp3.5 Pc2.Hydrophobicity.6
#> 1.133968e-03 2.824775e-03 -1.111123e-03
#> Pc2.Hydrophilicity.6 Pc2.CIDH920105.6 Pc2.BHAR880101.6
#> -3.787263e-03 -1.619698e-03 -3.377592e-03
#> Pc2.CHAM820101.6 Pc2.CHAM820102.6 Pc2.MyProp1.6
#> 3.047700e-03 5.464276e-04 -1.111123e-03
#> Pc2.MyProp2.6 Pc2.MyProp3.6 Pc2.Hydrophobicity.7
#> -3.787263e-03 4.399177e-03 -1.293396e-05
#> Pc2.Hydrophilicity.7 Pc2.CIDH920105.7 Pc2.BHAR880101.7
#> 5.636157e-04 -1.375419e-03 -9.471565e-04
#> Pc2.CHAM820101.7 Pc2.CHAM820102.7 Pc2.MyProp1.7
#> 2.510108e-03 -8.127858e-05 -1.293396e-05
#> Pc2.MyProp2.7 Pc2.MyProp3.7 Pc2.Hydrophobicity.8
#> 5.636157e-04 2.327124e-03 -1.453212e-03
#> Pc2.Hydrophilicity.8 Pc2.CIDH920105.8 Pc2.BHAR880101.8
#> -1.486593e-03 9.121515e-04 2.923706e-03
#> Pc2.CHAM820101.8 Pc2.CHAM820102.8 Pc2.MyProp1.8
#> 3.951525e-03 1.697524e-03 -1.453212e-03
#> Pc2.MyProp2.8 Pc2.MyProp3.8 Pc2.Hydrophobicity.9
#> -1.486593e-03 4.742073e-03 -2.259268e-03
#> Pc2.Hydrophilicity.9 Pc2.CIDH920105.9 Pc2.BHAR880101.9
#> -1.199058e-03 -1.997173e-04 1.563555e-05
#> Pc2.CHAM820101.9 Pc2.CHAM820102.9 Pc2.MyProp1.9
#> 3.657590e-03 -2.088309e-03 -2.259268e-03
#> Pc2.MyProp2.9 Pc2.MyProp3.9 Pc2.Hydrophobicity.10
#> -1.199058e-03 3.186717e-03 2.248030e-03
#> Pc2.Hydrophilicity.10 Pc2.CIDH920105.10 Pc2.BHAR880101.10
#> 2.776775e-03 1.979571e-03 4.562424e-03
#> Pc2.CHAM820101.10 Pc2.CHAM820102.10 Pc2.MyProp1.10
#> 3.953245e-04 1.488532e-03 2.248030e-03
#> Pc2.MyProp2.10 Pc2.MyProp3.10 Pc2.Hydrophobicity.11
#> 2.776775e-03 7.015885e-05 8.132275e-05
#> Pc2.Hydrophilicity.11 Pc2.CIDH920105.11 Pc2.BHAR880101.11
#> 6.704110e-04 3.111663e-03 1.930726e-03
#> Pc2.CHAM820101.11 Pc2.CHAM820102.11 Pc2.MyProp1.11
#> 2.920811e-03 -4.381601e-05 8.132275e-05
#> Pc2.MyProp2.11 Pc2.MyProp3.11 Pc2.Hydrophobicity.12
#> 6.704110e-04 1.943423e-03 -7.149996e-04
#> Pc2.Hydrophilicity.12 Pc2.CIDH920105.12 Pc2.BHAR880101.12
#> -1.542610e-03 2.052446e-04 7.637776e-04
#> Pc2.CHAM820101.12 Pc2.CHAM820102.12 Pc2.MyProp1.12
#> 2.629436e-03 1.082862e-03 -7.149996e-04
#> Pc2.MyProp2.12 Pc2.MyProp3.12 Pc2.Hydrophobicity.13
#> -1.542610e-03 3.152375e-03 1.314200e-03
#> Pc2.Hydrophilicity.13 Pc2.CIDH920105.13 Pc2.BHAR880101.13
#> 3.363653e-03 3.154151e-03 3.770682e-03
#> Pc2.CHAM820101.13 Pc2.CHAM820102.13 Pc2.MyProp1.13
#> 4.367833e-03 3.287165e-03 1.314200e-03
#> Pc2.MyProp2.13 Pc2.MyProp3.13 Pc2.Hydrophobicity.14
#> 3.363653e-03 4.548631e-03 6.076342e-04
#> Pc2.Hydrophilicity.14 Pc2.CIDH920105.14 Pc2.BHAR880101.14
#> -7.277389e-04 1.821700e-04 1.136616e-03
#> Pc2.CHAM820101.14 Pc2.CHAM820102.14 Pc2.MyProp1.14
#> 2.725934e-03 -2.422624e-03 6.076342e-04
#> Pc2.MyProp2.14 Pc2.MyProp3.14 Pc2.Hydrophobicity.15
#> -7.277389e-04 3.644842e-03 -2.415164e-04
#> Pc2.Hydrophilicity.15 Pc2.CIDH920105.15 Pc2.BHAR880101.15
#> -2.774263e-03 7.090685e-05 1.886016e-03
#> Pc2.CHAM820101.15 Pc2.CHAM820102.15 Pc2.MyProp1.15
#> 3.086345e-03 -8.290011e-04 -2.415164e-04
#> Pc2.MyProp2.15 Pc2.MyProp3.15 Pc2.Hydrophobicity.16
#> -2.774263e-03 3.455495e-03 2.843438e-05
#> Pc2.Hydrophilicity.16 Pc2.CIDH920105.16 Pc2.BHAR880101.16
#> 1.914495e-03 -5.799552e-05 2.209231e-03
#> Pc2.CHAM820101.16 Pc2.CHAM820102.16 Pc2.MyProp1.16
#> 9.447110e-04 -1.832162e-04 2.843438e-05
#> Pc2.MyProp2.16 Pc2.MyProp3.16 Pc2.Hydrophobicity.17
#> 1.914495e-03 1.706065e-03 3.724984e-04
#> Pc2.Hydrophilicity.17 Pc2.CIDH920105.17 Pc2.BHAR880101.17
#> 1.900560e-03 -4.512885e-04 6.174000e-04
#> Pc2.CHAM820101.17 Pc2.CHAM820102.17 Pc2.MyProp1.17
#> -1.942794e-04 5.385367e-04 3.724984e-04
#> Pc2.MyProp2.17 Pc2.MyProp3.17 Pc2.Hydrophobicity.18
#> 1.900560e-03 -2.383272e-04 -2.422325e-04
#> Pc2.Hydrophilicity.18 Pc2.CIDH920105.18 Pc2.BHAR880101.18
#> 1.558471e-03 2.694786e-03 -9.023092e-04
#> Pc2.CHAM820101.18 Pc2.CHAM820102.18 Pc2.MyProp1.18
#> 3.617169e-03 2.025085e-03 -2.422325e-04
#> Pc2.MyProp2.18 Pc2.MyProp3.18 Pc2.Hydrophobicity.19
#> 1.558471e-03 3.331545e-03 4.949343e-05
#> Pc2.Hydrophilicity.19 Pc2.CIDH920105.19 Pc2.BHAR880101.19
#> -6.857316e-04 1.267582e-03 -3.028707e-04
#> Pc2.CHAM820101.19 Pc2.CHAM820102.19 Pc2.MyProp1.19
#> 1.116845e-03 -9.942419e-04 4.949343e-05
#> Pc2.MyProp2.19 Pc2.MyProp3.19 Pc2.Hydrophobicity.20
#> -6.857316e-04 1.336517e-03 -2.302207e-04
#> Pc2.Hydrophilicity.20 Pc2.CIDH920105.20 Pc2.BHAR880101.20
#> 7.171290e-04 1.018011e-03 2.024248e-04
#> Pc2.CHAM820101.20 Pc2.CHAM820102.20 Pc2.MyProp1.20
#> 3.103507e-03 -4.292626e-04 -2.302207e-04
#> Pc2.MyProp2.20 Pc2.MyProp3.20 Pc2.Hydrophobicity.21
#> 7.171290e-04 2.234626e-03 -5.223873e-04
#> Pc2.Hydrophilicity.21 Pc2.CIDH920105.21 Pc2.BHAR880101.21
#> 1.269321e-03 2.767261e-03 6.379400e-04
#> Pc2.CHAM820101.21 Pc2.CHAM820102.21 Pc2.MyProp1.21
#> 2.719312e-03 -5.515094e-04 -5.223873e-04
#> Pc2.MyProp2.21 Pc2.MyProp3.21 Pc2.Hydrophobicity.22
#> 1.269321e-03 3.148752e-03 2.461464e-03
#> Pc2.Hydrophilicity.22 Pc2.CIDH920105.22 Pc2.BHAR880101.22
#> 2.520929e-03 4.365216e-03 4.823171e-03
#> Pc2.CHAM820101.22 Pc2.CHAM820102.22 Pc2.MyProp1.22
#> 6.004310e-03 -3.525639e-04 2.461464e-03
#> Pc2.MyProp2.22 Pc2.MyProp3.22 Pc2.Hydrophobicity.23
#> 2.520929e-03 5.044113e-03 1.952803e-03
#> Pc2.Hydrophilicity.23 Pc2.CIDH920105.23 Pc2.BHAR880101.23
#> 1.910167e-03 1.572223e-03 1.023679e-04
#> Pc2.CHAM820101.23 Pc2.CHAM820102.23 Pc2.MyProp1.23
#> 2.158838e-03 -1.900535e-03 1.952803e-03
#> Pc2.MyProp2.23 Pc2.MyProp3.23 Pc2.Hydrophobicity.24
#> 1.910167e-03 2.118122e-03 -1.918533e-03
#> Pc2.Hydrophilicity.24 Pc2.CIDH920105.24 Pc2.BHAR880101.24
#> -7.946720e-04 -1.023436e-03 4.326760e-04
#> Pc2.CHAM820101.24 Pc2.CHAM820102.24 Pc2.MyProp1.24
#> 8.041312e-04 -3.096339e-04 -1.918533e-03
#> Pc2.MyProp2.24 Pc2.MyProp3.24 Pc2.Hydrophobicity.25
#> -7.946720e-04 7.919708e-04 -3.077168e-03
#> Pc2.Hydrophilicity.25 Pc2.CIDH920105.25 Pc2.BHAR880101.25
#> -2.000970e-03 1.267741e-03 1.367532e-03
#> Pc2.CHAM820101.25 Pc2.CHAM820102.25 Pc2.MyProp1.25
#> 3.039638e-03 9.110689e-04 -3.077168e-03
#> Pc2.MyProp2.25 Pc2.MyProp3.25 Pc2.Hydrophobicity.26
#> -2.000970e-03 2.346114e-03 6.698600e-04
#> Pc2.Hydrophilicity.26 Pc2.CIDH920105.26 Pc2.BHAR880101.26
#> -9.414037e-04 -1.228932e-04 6.990684e-04
#> Pc2.CHAM820101.26 Pc2.CHAM820102.26 Pc2.MyProp1.26
#> 3.889658e-03 -3.211254e-05 6.698600e-04
#> Pc2.MyProp2.26 Pc2.MyProp3.26 Pc2.Hydrophobicity.27
#> -9.414037e-04 5.287878e-03 4.014679e-03
#> Pc2.Hydrophilicity.27 Pc2.CIDH920105.27 Pc2.BHAR880101.27
#> 3.558961e-03 2.958180e-03 3.952585e-03
#> Pc2.CHAM820101.27 Pc2.CHAM820102.27 Pc2.MyProp1.27
#> 3.050843e-03 3.261111e-04 4.014679e-03
#> Pc2.MyProp2.27 Pc2.MyProp3.27 Pc2.Hydrophobicity.28
#> 3.558961e-03 2.621260e-03 -8.390496e-04
#> Pc2.Hydrophilicity.28 Pc2.CIDH920105.28 Pc2.BHAR880101.28
#> -1.936381e-03 -1.067034e-03 2.741618e-05
#> Pc2.CHAM820101.28 Pc2.CHAM820102.28 Pc2.MyProp1.28
#> 2.754108e-03 -4.269171e-04 -8.390496e-04
#> Pc2.MyProp2.28 Pc2.MyProp3.28 Pc2.Hydrophobicity.29
#> -1.936381e-03 1.931571e-03 1.069554e-03
#> Pc2.Hydrophilicity.29 Pc2.CIDH920105.29 Pc2.BHAR880101.29
#> 1.588476e-03 1.768304e-03 2.975706e-03
#> Pc2.CHAM820101.29 Pc2.CHAM820102.29 Pc2.MyProp1.29
#> 7.609157e-04 1.224138e-03 1.069554e-03
#> Pc2.MyProp2.29 Pc2.MyProp3.29 Pc2.Hydrophobicity.30
#> 1.588476e-03 5.908359e-04 2.449004e-04
#> Pc2.Hydrophilicity.30 Pc2.CIDH920105.30 Pc2.BHAR880101.30
#> 1.119090e-03 7.795027e-04 1.672987e-03
#> Pc2.CHAM820101.30 Pc2.CHAM820102.30 Pc2.MyProp1.30
#> 3.002246e-03 3.108433e-03 2.449004e-04
#> Pc2.MyProp2.30 Pc2.MyProp3.30
#> 1.119090e-03 3.398358e-03