title: Mathematical modeling of the neuron morphology using two dimensional images.
abstract: In this study mathematical analyses such as the analysis of area and length, fractal analysis and modified Sholl 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.
authors.affiliation: Laboratory for Image Analysis, School of Medicine, University of Belgrade, Serbia. Electronic address: katar1970@yahoo.com.
authors.forename: Katarina
authors.initials: K
authors.lastname: Rajković
authors.affiliation: Department of Anatomy, School of Medicine, University of Novi Sad, Serbia.
authors.forename: Dušica L
authors.initials: DL
authors.lastname: Marić
authors.affiliation: Department of Biophysics, School of Medicine, University of Belgrade, Serbia.
authors.forename: Nebojša T
authors.initials: NT
authors.lastname: Milošević
authors.affiliation: Institute for Molecular Genetics and Genetic Engineering, University of Belgrade, Serbia.
authors.forename: Sanja
authors.initials: S
authors.lastname: Jeremic
authors.affiliation: Institute of Microbiology and Immunology, Faculty of Medicine University of Belgrade, Serbia.
authors.forename: Valentina Arsić
authors.initials: VA
authors.lastname: Arsenijević
authors.affiliation: Department of Biophysics, School of Medicine, University of Belgrade, Serbia.
authors.forename: Nemanja
authors.initials: N
authors.lastname: Rajković
mesh_terms: D000328:Adult; D000465:Algorithms; D000704:Analysis of Variance; D048429:Cell Size; D002529:Cerebellar Nuclei / Q000166:cytology*; D003712:Dendrites / Q000502:physiology; D017709:Fractals; D006801:Humans; D008959:Models, Neurological; D009474:Neurons / Q000166:cytology* / Q000502:physiology
keywords: Dentate nucleus; Fractal analysis; Modified Sholl analysis; Neuronal image; Response surface methodology