A mathematical based calculation of a myelinated segment in axons
The brain is a complicated system that controls all of the body's actions and reactions by receiving and processing different stimuli and producing the proper responses. The brain accomplishes this task using various sensory elements such as neurons. The axon is the most important element of th...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/85518 http://hdl.handle.net/10220/16772 |
| _version_ | 1811681798792413184 |
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| author | Namazi, Hamidreza. Kulish, Vladimir V. |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Namazi, Hamidreza. Kulish, Vladimir V. |
| author_sort | Namazi, Hamidreza. |
| collection | NTU |
| description | The brain is a complicated system that controls all of the body's actions and reactions by receiving and processing different stimuli and producing the proper responses. The brain accomplishes this task using various sensory elements such as neurons. The axon is the most important element of the neuron in terms of signal generation and propagation. Although much effort has been made studying the characteristics of the axon, there is no research that focuses on measuring the length of this element from a mathematical point of view. In this paper, we propose for the first time a new mathematical model of the generation of action potentials in the axon. Using this model and the diffusion phenomenon in axons, we propose a characteristic length for the myelinated segments in axons. This mathematically calculated value is corroborated by comparison with values measured by biologists. |
| first_indexed | 2024-10-01T03:46:40Z |
| format | Journal Article |
| id | ntu-10356/85518 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:46:40Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/855182020-03-07T13:19:24Z A mathematical based calculation of a myelinated segment in axons Namazi, Hamidreza. Kulish, Vladimir V. School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering The brain is a complicated system that controls all of the body's actions and reactions by receiving and processing different stimuli and producing the proper responses. The brain accomplishes this task using various sensory elements such as neurons. The axon is the most important element of the neuron in terms of signal generation and propagation. Although much effort has been made studying the characteristics of the axon, there is no research that focuses on measuring the length of this element from a mathematical point of view. In this paper, we propose for the first time a new mathematical model of the generation of action potentials in the axon. Using this model and the diffusion phenomenon in axons, we propose a characteristic length for the myelinated segments in axons. This mathematically calculated value is corroborated by comparison with values measured by biologists. 2013-10-24T06:41:07Z 2019-12-06T16:05:18Z 2013-10-24T06:41:07Z 2019-12-06T16:05:18Z 2013 2013 Journal Article Namazi, H., & Kulish, V. V. (2013). A mathematical based calculation of a myelinated segment in axons. Computers in biology and medicine, 43(6), 693-698. 0010-4825 https://hdl.handle.net/10356/85518 http://hdl.handle.net/10220/16772 10.1016/j.compbiomed.2013.03.005 en Computers in biology and medicine |
| spellingShingle | DRNTU::Engineering::Mechanical engineering Namazi, Hamidreza. Kulish, Vladimir V. A mathematical based calculation of a myelinated segment in axons |
| title | A mathematical based calculation of a myelinated segment in axons |
| title_full | A mathematical based calculation of a myelinated segment in axons |
| title_fullStr | A mathematical based calculation of a myelinated segment in axons |
| title_full_unstemmed | A mathematical based calculation of a myelinated segment in axons |
| title_short | A mathematical based calculation of a myelinated segment in axons |
| title_sort | mathematical based calculation of a myelinated segment in axons |
| topic | DRNTU::Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/85518 http://hdl.handle.net/10220/16772 |
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