An Optimization Method Based on the Generalized Polynomials for a Model of HIV Infection of CD4+ T Cells
In this paper, an optimization method based on the generalized polynomials (GP) including the unknown free coefficients and control parameters has been proposed to approximate the solution of a model of HIV infection of CD4 + T cells (HIV-I-CD4T). First, the operational matrices (OM) of derivatives...
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| Veröffentlicht in: | Iranian journal of science and technology. Transaction A, Science Science, 2020-04, Vol.44 (2), p.407-416 |
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| container_title | Iranian journal of science and technology. Transaction A, Science |
| container_volume | 44 |
| creator | Hassani, H. Mehrabi, S. Naraghirad, E. Naghmachi, M. Yüzbaşi, S. |
| description | In this paper, an optimization method based on the generalized polynomials (GP) including the unknown free coefficients and control parameters has been proposed to approximate the solution of a model of HIV infection of
CD4
+
T cells (HIV-I-CD4T). First, the operational matrices (OM) of derivatives are derived. Then, based on these OM and the Lagrange multipliers method, an optimization method is presented to approximate solution of a model of HIV-I-CD4T. An illustrative example is given to demonstrate the efficiency and accuracy of the proposed method and confirms that results are in good accuracy in comparisons with other numerical approaches. |
| doi_str_mv | 10.1007/s40995-020-00833-3 |
| format | Article |
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CD4
+
T cells (HIV-I-CD4T). First, the operational matrices (OM) of derivatives are derived. Then, based on these OM and the Lagrange multipliers method, an optimization method is presented to approximate solution of a model of HIV-I-CD4T. An illustrative example is given to demonstrate the efficiency and accuracy of the proposed method and confirms that results are in good accuracy in comparisons with other numerical approaches.</description><identifier>ISSN: 1028-6276</identifier><identifier>EISSN: 2364-1819</identifier><identifier>DOI: 10.1007/s40995-020-00833-3</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>CD4 antigen ; Chemistry/Food Science ; Earth Sciences ; Engineering ; HIV ; Human immunodeficiency virus ; Infections ; Lagrange multiplier ; Life Sciences ; Lymphocytes ; Lymphocytes T ; Materials Science ; Mathematics ; Optimization ; Physics ; Polynomials ; Research Paper</subject><ispartof>Iranian journal of science and technology. Transaction A, Science, 2020-04, Vol.44 (2), p.407-416</ispartof><rights>Shiraz University 2020</rights><rights>Shiraz University 2020.</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-p227t-7debc5293da3628ce0a67b6445cc4dc8485d617e6ef6a308a20cea5ad7b896283</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Hassani, H.</creatorcontrib><creatorcontrib>Mehrabi, S.</creatorcontrib><creatorcontrib>Naraghirad, E.</creatorcontrib><creatorcontrib>Naghmachi, M.</creatorcontrib><creatorcontrib>Yüzbaşi, S.</creatorcontrib><title>An Optimization Method Based on the Generalized Polynomials for a Model of HIV Infection of CD4+ T Cells</title><title>Iranian journal of science and technology. Transaction A, Science</title><addtitle>Iran J Sci Technol Trans Sci</addtitle><description>In this paper, an optimization method based on the generalized polynomials (GP) including the unknown free coefficients and control parameters has been proposed to approximate the solution of a model of HIV infection of
CD4
+
T cells (HIV-I-CD4T). First, the operational matrices (OM) of derivatives are derived. Then, based on these OM and the Lagrange multipliers method, an optimization method is presented to approximate solution of a model of HIV-I-CD4T. An illustrative example is given to demonstrate the efficiency and accuracy of the proposed method and confirms that results are in good accuracy in comparisons with other numerical approaches.</description><subject>CD4 antigen</subject><subject>Chemistry/Food Science</subject><subject>Earth Sciences</subject><subject>Engineering</subject><subject>HIV</subject><subject>Human immunodeficiency virus</subject><subject>Infections</subject><subject>Lagrange multiplier</subject><subject>Life Sciences</subject><subject>Lymphocytes</subject><subject>Lymphocytes T</subject><subject>Materials Science</subject><subject>Mathematics</subject><subject>Optimization</subject><subject>Physics</subject><subject>Polynomials</subject><subject>Research Paper</subject><issn>1028-6276</issn><issn>2364-1819</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNpFkM1OwzAQhC0EElXpC3CyxBEZ_BfbOZYAbaVW5VC4Rk68oUFpHOL0QJ8et0XitJrRzKz0IXTL6AOjVD8GSdM0IZRTQqkRgogLNOJCScIMSy_RiFFuiOJaXaNJCHVBBWNKc6lGaDtt8bob6l19sEPtW7yCYesdfrIBHI562AKeQQu9bepDtN5889P6XW2bgCvfY4tX3kGDfYXniw-8aCsoT0PRyJ7lPd7gDJom3KCrKnZg8nfH6P31ZZPNyXI9W2TTJek41wPRDooy4alwVihuSqBW6UJJmZSldKWRJnGKaVBQKSuosZyWYBPrdGHSWBBjdHfe7Xr_vYcw5F9-37fxZc5FSplRSXpMiXMqdH3dfkL_n2I0P1LNz1TzSDU_Uc2F-AWB_2kQ</recordid><startdate>20200401</startdate><enddate>20200401</enddate><creator>Hassani, H.</creator><creator>Mehrabi, S.</creator><creator>Naraghirad, E.</creator><creator>Naghmachi, M.</creator><creator>Yüzbaşi, S.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20200401</creationdate><title>An Optimization Method Based on the Generalized Polynomials for a Model of HIV Infection of CD4+ T Cells</title><author>Hassani, H. ; Mehrabi, S. ; Naraghirad, E. ; Naghmachi, M. ; Yüzbaşi, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p227t-7debc5293da3628ce0a67b6445cc4dc8485d617e6ef6a308a20cea5ad7b896283</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>CD4 antigen</topic><topic>Chemistry/Food Science</topic><topic>Earth Sciences</topic><topic>Engineering</topic><topic>HIV</topic><topic>Human immunodeficiency virus</topic><topic>Infections</topic><topic>Lagrange multiplier</topic><topic>Life Sciences</topic><topic>Lymphocytes</topic><topic>Lymphocytes T</topic><topic>Materials Science</topic><topic>Mathematics</topic><topic>Optimization</topic><topic>Physics</topic><topic>Polynomials</topic><topic>Research Paper</topic><toplevel>online_resources</toplevel><creatorcontrib>Hassani, H.</creatorcontrib><creatorcontrib>Mehrabi, S.</creatorcontrib><creatorcontrib>Naraghirad, E.</creatorcontrib><creatorcontrib>Naghmachi, M.</creatorcontrib><creatorcontrib>Yüzbaşi, S.</creatorcontrib><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Iranian journal of science and technology. 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CD4
+
T cells (HIV-I-CD4T). First, the operational matrices (OM) of derivatives are derived. Then, based on these OM and the Lagrange multipliers method, an optimization method is presented to approximate solution of a model of HIV-I-CD4T. An illustrative example is given to demonstrate the efficiency and accuracy of the proposed method and confirms that results are in good accuracy in comparisons with other numerical approaches.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s40995-020-00833-3</doi><tpages>10</tpages></addata></record> |
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| identifier | ISSN: 1028-6276 |
| ispartof | Iranian journal of science and technology. Transaction A, Science, 2020-04, Vol.44 (2), p.407-416 |
| issn | 1028-6276 2364-1819 |
| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | CD4 antigen Chemistry/Food Science Earth Sciences Engineering HIV Human immunodeficiency virus Infections Lagrange multiplier Life Sciences Lymphocytes Lymphocytes T Materials Science Mathematics Optimization Physics Polynomials Research Paper |
| title | An Optimization Method Based on the Generalized Polynomials for a Model of HIV Infection of CD4+ T Cells |
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