TY  - JOUR
AU  - Rajković, Katarina
AU  - Marić, Dusica L.
AU  - Milosević, Nebojša T.
AU  - Jeremić, Sanja
AU  - Arsić-Arsenijević, Valentina
AU  - Rajković, Nemanja
PY  - 2016
UR  - https://imagine.imgge.bg.ac.rs/handle/123456789/973
AB  - In this study mathematical analyses such as the analysis of area and length, fractal analysis and modified Shall analysis were applied on two dimensional (2D) images of neurons from adult human dentate nucleus (DN). Using mathematical analyses main morphological properties were obtained including the size of neuron and soma, the length of all dendrites, the density of dendritic arborization, the position of the maximum density and the irregularity of dendrites. Response surface methodology (RSM) was used for modeling the size of neurons and the length of all dendrites. However, the RSM model based on the second-order polynomial equation was only possible to apply to correlate changes in the size of the neuron with other properties of its morphology. Modeling data provided evidence that the size of DN neurons statistically depended on the size of the soma, the density of dendritic arborization and the irregularity of dendrites. The low value of mean relative percent deviation (MRPD) between the experimental data and the predicted neuron size obtained by RSM model showed that model was suitable for modeling the size of DN neurons. Therefore, RSM can be generally used for modeling neuron size from 2D images.
PB  - Academic Press Ltd- Elsevier Science Ltd, London
T2  - Journal of Theoretical Biology
T1  - Mathematical modeling of the neuron morphology using two dimensional images
EP  - 85
SP  - 80
VL  - 390
DO  - 10.1016/j.jtbi.2015.11.019
ER  - 

@article{
author = "Rajković, Katarina and Marić, Dusica L. and Milosević, Nebojša T. and Jeremić, Sanja and Arsić-Arsenijević, Valentina and Rajković, Nemanja",
year = "2016",
abstract = "In this study mathematical analyses such as the analysis of area and length, fractal analysis and modified Shall analysis were applied on two dimensional (2D) images of neurons from adult human dentate nucleus (DN). Using mathematical analyses main morphological properties were obtained including the size of neuron and soma, the length of all dendrites, the density of dendritic arborization, the position of the maximum density and the irregularity of dendrites. Response surface methodology (RSM) was used for modeling the size of neurons and the length of all dendrites. However, the RSM model based on the second-order polynomial equation was only possible to apply to correlate changes in the size of the neuron with other properties of its morphology. Modeling data provided evidence that the size of DN neurons statistically depended on the size of the soma, the density of dendritic arborization and the irregularity of dendrites. The low value of mean relative percent deviation (MRPD) between the experimental data and the predicted neuron size obtained by RSM model showed that model was suitable for modeling the size of DN neurons. Therefore, RSM can be generally used for modeling neuron size from 2D images.",
publisher = "Academic Press Ltd- Elsevier Science Ltd, London",
journal = "Journal of Theoretical Biology",
title = "Mathematical modeling of the neuron morphology using two dimensional images",
pages = "85-80",
volume = "390",
doi = "10.1016/j.jtbi.2015.11.019"
}

Rajković, K., Marić, D. L., Milosević, N. T., Jeremić, S., Arsić-Arsenijević, V.,& Rajković, N.. (2016). Mathematical modeling of the neuron morphology using two dimensional images. in Journal of Theoretical Biology
Academic Press Ltd- Elsevier Science Ltd, London., 390, 80-85.
https://doi.org/10.1016/j.jtbi.2015.11.019

Rajković K, Marić DL, Milosević NT, Jeremić S, Arsić-Arsenijević V, Rajković N. Mathematical modeling of the neuron morphology using two dimensional images. in Journal of Theoretical Biology. 2016;390:80-85.
doi:10.1016/j.jtbi.2015.11.019 .

Rajković, Katarina, Marić, Dusica L., Milosević, Nebojša T., Jeremić, Sanja, Arsić-Arsenijević, Valentina, Rajković, Nemanja, "Mathematical modeling of the neuron morphology using two dimensional images" in Journal of Theoretical Biology, 390 (2016):80-85,
https://doi.org/10.1016/j.jtbi.2015.11.019 . .