{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:26:15Z","timestamp":1740147975416,"version":"3.37.3"},"reference-count":10,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>Modeling the tumor behavior in the host organ as function of time and radiation dose has been a major study in the previous decades. Here the effort in estimation of cancerous and normal cell proliferation and growth in glioblastoma multiform (GBM) tumor is presented. This paper introduces a new mathematical model in the form of differential equation of tumor growth. The model contains dose delivery amount in the treatment scheme as an input term. It also can be utilized to optimize the treatment process in order to increase the patient survival period. Gene expression programming (GEP) as a new concept is used for estimating this model. The LQ model has also been applied to GEP as an initial value, causing acceleration and improvement of the algorithm estimation. The model shows the number of the tumor and normal brain cells during the treatment process using the status of normal and cancerous cells in the initiation of treatment, the timing and amount of dose delivery to the patient, and a coefficient that describes the brain condition. A critical level is defined for normal cell when the patient\u2019s death occurs. In the end the model has been verified by clinical data obtained from previous accepted formulae and some of our experimental resources. The proposed model helps to predict tumor growth during treatment process in which further treatment processes can be controlled.<\/jats:p>","DOI":"10.1155\/2014\/481935","type":"journal-article","created":{"date-parts":[[2014,8,5]],"date-time":"2014-08-05T17:03:27Z","timestamp":1407258207000},"page":"1-8","source":"Crossref","is-referenced-by-count":1,"title":["Computer Implementation of a New Therapeutic Model for GBM Tumor"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9427-121X","authenticated-orcid":true,"given":"Ali","family":"Jamali Nazari","sequence":"first","affiliation":[{"name":"Department of Medical Radiation Engineering, Islamic Azad University, Tehran Science and Research Branch, Tehran 14515-775, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dariush","family":"Sardari","sequence":"additional","affiliation":[{"name":"Department of Medical Radiation Engineering, Islamic Azad University, Tehran Science and Research Branch, Tehran 14515-775, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahmad Reza","family":"Vali","sequence":"additional","affiliation":[{"name":"Electrical Engineering Department, Control Engineering Group, Malek Ashtar University of Technology, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Keivan","family":"Maghooli","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, Islamic Azad University, Science and Research Branch, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"first-page":"210","volume-title":"Neoplasms affecting the nervous systems in the elderly","year":"1991","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1097\/nen.0b013e31802d9000"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1529\/biophysj.106.093468"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2006.09.007"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-2184.2009.00631.x"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/55\/12\/001"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2009.10.021"},{"key":"8","series-title":"Modeling and Simulation in Science, Engineering and Technology","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-0-8176-4600-4_1","volume-title":"Modeling diffusely invading brain tumors an individualized approach to quantifying glioma evolution and response to therapy","year":"2008"},{"year":"1996","key":"9"},{"issue":"2","key":"10","first-page":"87","volume":"13","year":"2001","journal-title":"Complex Systems"}],"container-title":["Computational and Mathematical Methods in Medicine"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/481935.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/481935.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/481935.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,13]],"date-time":"2019-08-13T11:57:23Z","timestamp":1565697443000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/cmmm\/2014\/481935\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":10,"alternative-id":["481935","481935"],"URL":"https:\/\/doi.org\/10.1155\/2014\/481935","relation":{},"ISSN":["1748-670X","1748-6718"],"issn-type":[{"type":"print","value":"1748-670X"},{"type":"electronic","value":"1748-6718"}],"subject":[],"published":{"date-parts":[[2014]]}}}