Analysis of granule cell generation system by lie symmetry method

Mehmet Kocabıyık; Mevlüde Yakıt Ongun

doi:10.17776/csj.461819

EN

Analysis of granule cell generation system by lie symmetry method

Abstract

In this paper, we study main headlines of brain development which is a major problem in neurobiology in present. Our aim here is to find the analytical solution of the equation that belongs to the brain development system. For this solution, the exchange of cerebellum granule cells in EGL (External granule layer of the cerebellum) is discussed. For this reason, Lie symmetry analysis is used. Obtaining solutions of this system means determining the behavior of the granular cell numbers at different stages. Knowing the behavior of these cells provides important information about the progression and development of diseases. Examples of these diseases are abnormal cerebellum development, cerebellum cancer. In this study, time dependent probability function related to division of two granule cells is examined. Then, analytical solutions are obtained for three different states of this function. Some tables and density graphics of these solutions are given.

Keywords

Lie symmetry,Ordinary differantial equation,Granule cell generation,Cerebellum cancer.

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Mehmet Kocabıyık ^*
Türkiye

Mevlüde Yakıt Ongun
Türkiye

Publication Date

March 22, 2020

Submission Date

September 20, 2018

Acceptance Date

February 24, 2020

Published in Issue

Year 2020 Volume: 41 Number: 1

DOI

https://doi.org/10.17776/csj.461819

IZ

https://izlik.org/JA48US66AK

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RIS / Bibtex

APA

Kocabıyık, M., & Yakıt Ongun, M. (2020). Analysis of granule cell generation system by lie symmetry method. Cumhuriyet Science Journal, 41(1), 56-68. https://doi.org/10.17776/csj.461819

Öz

Analysis of granule cell generation system by lie symmetry method

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

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Acceptance Date

Published in Issue

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IZ

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