A mathematical based calculation of a myelinated segment in axons
Abstract 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 elem...
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| Veröffentlicht in: | Computers in biology and medicine 2013-07, Vol.43 (6), p.693-698 |
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| container_title | Computers in biology and medicine |
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| creator | Namazi, Hamidreza Kulish, Vladimir V |
| description | Abstract 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. |
| doi_str_mv | 10.1016/j.compbiomed.2013.03.005 |
| format | Article |
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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.</description><identifier>ISSN: 0010-4825</identifier><identifier>EISSN: 1879-0534</identifier><identifier>DOI: 10.1016/j.compbiomed.2013.03.005</identifier><identifier>PMID: 23668344</identifier><identifier>CODEN: CBMDAW</identifier><language>eng</language><publisher>United States: Elsevier Ltd</publisher><subject>Action potential ; Action Potentials - physiology ; Animals ; Axon ; Axons - physiology ; Brain research ; Diffusion ; Humans ; Internal Medicine ; Length ; Mathematical models ; Models, Neurological ; Myelinated segment ; Nerve Fibers, Myelinated - physiology ; Neural networks ; Neuron ; Neurons ; Other ; Plasma ; Rodents ; Studies ; Synaptic Transmission - physiology</subject><ispartof>Computers in biology and medicine, 2013-07, Vol.43 (6), p.693-698</ispartof><rights>Elsevier Ltd</rights><rights>2013 Elsevier Ltd</rights><rights>Copyright © 2013 Elsevier Ltd. All rights reserved.</rights><rights>Copyright Elsevier Limited Jul 2013</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c490t-eab70f7f759bd8382e2eacd55da2b702e13de1ebc2b1fa858b34acd8ec29077a3</citedby><cites>FETCH-LOGICAL-c490t-eab70f7f759bd8382e2eacd55da2b702e13de1ebc2b1fa858b34acd8ec29077a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/1349939376?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>315,782,786,3552,27931,27932,46002,64392,64394,64396,72476</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/23668344$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Namazi, Hamidreza</creatorcontrib><creatorcontrib>Kulish, Vladimir V</creatorcontrib><title>A mathematical based calculation of a myelinated segment in axons</title><title>Computers in biology and medicine</title><addtitle>Comput Biol Med</addtitle><description>Abstract 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. 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This mathematically calculated value is corroborated by comparison with values measured by biologists.</description><subject>Action potential</subject><subject>Action Potentials - physiology</subject><subject>Animals</subject><subject>Axon</subject><subject>Axons - physiology</subject><subject>Brain research</subject><subject>Diffusion</subject><subject>Humans</subject><subject>Internal Medicine</subject><subject>Length</subject><subject>Mathematical models</subject><subject>Models, Neurological</subject><subject>Myelinated segment</subject><subject>Nerve Fibers, Myelinated - physiology</subject><subject>Neural networks</subject><subject>Neuron</subject><subject>Neurons</subject><subject>Other</subject><subject>Plasma</subject><subject>Rodents</subject><subject>Studies</subject><subject>Synaptic Transmission - physiology</subject><issn>0010-4825</issn><issn>1879-0534</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNqNkk1r3DAQhkVoSTab_IUi6KUXb0YftuVLYRuaDwj00PYsZHncamtbW8sO3X_fMZsQyKUFIQm9j2aYeYcxLmAjQBRXu42P_b4OscdmI0GoDdCC_ISthCmrDHKl37AVgIBMG5mfsfOUdgCgQcEpO5OqKIzSesW2W9676SfSFrzreO0SNpxufu7oKQ48ttzx_oBdGNxEWsIfPQ4TDwN3f-KQLtjb1nUJL5_ONft-8_nb9V328OX2_nr7kHldwZShq0toy7bMq7oxykiU6HyT542TpEgUqkGBtZe1aJ3JTa006Qa9rKAsnVqzD8e4-zH-njFNtg_JY9e5AeOcrNCKqlOVEv9GVS4KMIp6sGbvX6G7OI8DFUKUriqKVxZEmSPlx5jSiK3dj6F348EKsIsjdmdfHLGLIxZokQ9r9u4pwVwv2vPHZwsI-HQEkJr3GHC0yQccPDZhRD_ZJob_yfLxVRBPfi2O_sIDppeabJIW7NdlMpbBEIqGoixA_QVon7Vy</recordid><startdate>20130701</startdate><enddate>20130701</enddate><creator>Namazi, Hamidreza</creator><creator>Kulish, Vladimir V</creator><general>Elsevier Ltd</general><general>Elsevier Limited</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7RV</scope><scope>7X7</scope><scope>7XB</scope><scope>88E</scope><scope>8AL</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>K9.</scope><scope>KB0</scope><scope>LK8</scope><scope>M0N</scope><scope>M0S</scope><scope>M1P</scope><scope>M2O</scope><scope>M7P</scope><scope>M7Z</scope><scope>MBDVC</scope><scope>NAPCQ</scope><scope>P5Z</scope><scope>P62</scope><scope>P64</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>Q9U</scope><scope>7X8</scope><scope>7QO</scope></search><sort><creationdate>20130701</creationdate><title>A mathematical based calculation of a myelinated segment in axons</title><author>Namazi, Hamidreza ; Kulish, Vladimir V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c490t-eab70f7f759bd8382e2eacd55da2b702e13de1ebc2b1fa858b34acd8ec29077a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Action potential</topic><topic>Action Potentials - 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| subjects | Action potential Action Potentials - physiology Animals Axon Axons - physiology Brain research Diffusion Humans Internal Medicine Length Mathematical models Models, Neurological Myelinated segment Nerve Fibers, Myelinated - physiology Neural networks Neuron Neurons Other Plasma Rodents Studies Synaptic Transmission - physiology |
| title | A mathematical based calculation of a myelinated segment in axons |
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