Mathematical modeling of the neuron morphology using two dimensional images
Само за регистроване кориснике
2016
Аутори
Rajković, KatarinaMarić, Dusica L.
Milosević, Nebojša T.
Jeremić, Sanja
Arsić-Arsenijević, Valentina
Rajković, Nemanja
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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) bet...ween 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.
Кључне речи:
Response surface methodology / Neuronal image / Modified Sholl analysis / Fractal analysis / Dentate nucleusИзвор:
Journal of Theoretical Biology, 2016, 390, 80-85Издавач:
- Academic Press Ltd- Elsevier Science Ltd, London
Финансирање / пројекти:
- Значај доказивања раних лабораторијских биомаркера за исход инвазивних гљивичних инфекција код нас (RS-MESTD-Basic Research (BR or ON)-175034)
- Идентификација молекуларних маркера за предикцију прогресије тумора, одговора на терапију и исхода болести (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41031)
DOI: 10.1016/j.jtbi.2015.11.019
ISSN: 0022-5193
PubMed: 26646765
WoS: 000367770400008
Scopus: 2-s2.0-84949033772
Институција/група
Institut za molekularnu genetiku i genetičko inženjerstvoTY - 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 . .