
{"id":11779,"date":"2026-04-27T16:52:57","date_gmt":"2026-04-27T13:52:57","guid":{"rendered":"https:\/\/agri-research-journal.net\/sjar\/?p=11779"},"modified":"2026-04-27T17:01:22","modified_gmt":"2026-04-27T14:01:22","slug":"%d9%86%d9%85%d8%b0%d8%ac%d8%a9-%d8%b9%d9%85%d9%84%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%ae%d9%85%d8%b1-%d8%a7%d9%84%d9%83%d8%ad%d9%88%d9%84%d9%8a-%d8%a8%d8%a7%d8%b3%d8%aa%d8%ae%d8%af%d8%a7%d9%85-%d8%ae","status":"publish","type":"post","link":"https:\/\/agri-research-journal.net\/sjar\/?p=11779","title":{"rendered":"\u0646\u0645\u0630\u062c\u0629 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u062e\u0645\u0631 \u0627\u0644\u0643\u062d\u0648\u0644\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0645\u064a\u0631\u0629 Saccharomyces cerevisiae \u0641\u064a \u0628\u064a\u0626\u0629 MATLAB\/Simulink"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"font-size: 14pt;\"><strong>\u064a\u062d\u064a\u0649 \u0627\u0633\u0645\u0627\u0639\u064a\u0644<\/strong><strong><sup>1*<\/sup><\/strong><strong>\u00a0 \u0648 <\/strong><strong>\u0631\u0627\u0645\u0632 \u0645\u062d\u0645\u062f<\/strong><strong><sup>1\u00a0 <\/sup><\/strong><strong>\u0648 <\/strong><strong>\u0623\u0644\u0641\u062a \u062c\u0648\u0644\u062d\u0629<\/strong><strong><sup>2<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 12pt;\"><sup>1<\/sup> \u0642\u0633\u0645 \u0639\u0644\u0648\u0645 \u0627\u0644\u0623\u063a\u0630\u064a\u0629 \u0641\u064a \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0644\u0627\u0630\u0642\u064a\u0629\u060c \u0627\u0644\u0644\u0627\u0630\u0642\u064a\u0629\u060c \u0633\u0648\u0631\u064a\u0629.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 12pt;\"><sup>2 <\/sup>\u0642\u0633\u0645 \u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0627\u062a \u0648\u0627\u0644\u062a\u062d\u0643\u0645 \u0627\u0644\u0622\u0644\u064a \u0641\u064a \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0644\u0627\u0630\u0642\u064a\u0629\u060c \u0633\u0648\u0631\u064a\u0629.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 12pt;\">(<strong>*<\/strong>\u0644\u0644\u0645\u0631\u0627\u0633\u0644\u0629: \u064a\u062d\u064a\u0649 \u063a\u0633\u0627\u0646 \u0627\u0633\u0645\u0627\u0639\u064a\u0644\u060c \u0627\u0644\u0628\u0631\u064a\u062f \u0627\u0644\u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a: <a href=\"mailto:%20faten.airagy@gmail.com\">\u00a0<u>yahia.esmail@tishreen.edu.sy<\/u><\/a>\u060c \u0647\u0627\u062a\u0641: 0936094505)<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 12pt;\"><strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u0633\u062a\u0644\u0627\u0645<\/strong>: 3\/ 3\/ 2025\u00a0\u00a0\u00a0\u00a0 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0642\u0628\u0648\u0644<\/strong>: 5\/ 7\/ 2025<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u0627\u0644\u0645\u0644\u062e\u0651\u0635<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u0627\u0633\u062a\u064f\u062e\u062f\u0645\u064e \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0639\u0635\u064a\u0631 \u0627\u0644\u0639\u0646\u0628 \u0627\u0644\u0645\u064f\u0631\u0634\u064e\u0651\u062d \u0648\u0627\u0644\u0645\u064f\u0646\u0642\u064e\u0651\u0649 \u0643\u0645\u0627\u062f\u0629 \u0623\u0648\u0644\u064a\u0629\u060c \u0648\u0636\u0628\u0637\u062a \u0638\u0631\u0648\u0641 \u0627\u0644\u062a\u062e\u0645\u064a\u0631 \u0639\u0644\u0649 \u062f\u0631\u062c\u0629 \u062d\u0631\u0627\u0631\u0629 \u2103(25)\u060c \u0648\u064e\u0644\u064e\u0642\u0651\u064e\u062d\u064e \u0627\u0644\u0639\u0635\u064a\u0631 \u0628\u062e\u0645\u064a\u0631\u0629 \u062c\u0627\u0641\u0629 \u0641\u0648\u0631\u064a\u0629 Saccharomyces cerevisiae ATCC\u00ae 2601&#x2122;. \u0648\u0627\u0633\u062a\u063a\u0631\u0642\u062a \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u062e\u0645\u064a\u0631 \u0645\u062f\u0629 10 \u0623\u064a\u0627\u0645\u060c \u062d\u064a\u062b\u064f \u0633\u064f\u062d\u0650\u0628\u064e\u062a \u0639\u064a\u0646\u0629 \u0643\u0644 24 \u0633\u0627\u0639\u0629 \u0644\u0642\u064a\u0627\u0633 \u062a\u0631\u0643\u064a\u0632 \u0627\u0644\u0633\u0643\u0631\u064a\u0627\u062a \u0627\u0644\u0643\u0644\u064a\u0629\u060c \u0648\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062d\u064a\u0648\u064a\u0629\u060c \u0648\u062a\u0631\u0643\u064a\u0632 \u0627\u0644\u0625\u064a\u062b\u0627\u0646\u0648\u0644 \u0627\u0644\u0645\u064f\u062a\u0634\u064e\u0643\u0650\u0651\u0644 \u0623\u062b\u0646\u0627\u0621 \u0627\u0644\u062a\u062e\u0645\u064a\u0631. \u0636\u0628\u0637\u062a \u0627\u0644\u0638\u0631\u0648\u0641 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0643\u0645\u0627 \u064a\u0644\u064a: \u062a\u0631\u0643\u064a\u0632 \u0627\u0644\u0633\u0643\u0631\u064a\u0627\u062a \u0627\u0644\u0623\u0648\u0644\u064a\u0629S_0=200 \u00b1 0.059g\/l\u060c \u062a\u0631\u0643\u064a\u0632 \u0627\u0644\u0643\u062d\u0648\u0644 \u0627\u0644\u0623\u0648\u0644\u064a P_0=0 g\/l\u060c \u062a\u0631\u0643\u064a\u0632 \u0627\u0644\u062e\u0645\u064a\u0631\u0629 \u0627\u0644\u0623\u0648\u0644\u064a X_0=1.5 g\/l\u060c \u0644\u064f\u0648\u062d\u0650\u0638\u064e \u0627\u0633\u062a\u0647\u0644\u0627\u0643 12.66 \u00b1 0.071 g \u0645\u0646 \u0627\u0644\u0633\u0643\u0631\u064a\u0627\u062a \u0628\u0639\u062f \u064a\u0648\u0645 \u0648\u0627\u062d\u062f \u0645\u0646 \u0627\u0644\u062a\u062e\u0645\u064a\u0631 \u0648\u0625\u0646\u062a\u0627\u062c 10.52 \u00b1 0.22 g \u0645\u0646 \u0627\u0644\u0625\u064a\u062b\u0627\u0646\u0648\u0644 \u0648\u0627\u0644\u062a\u064a \u062a\u0645\u062b\u0644 \u0646\u062d\u0648 83.1% \u0645\u0646 \u0627\u0644\u0633\u0643\u0631\u064a\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0647\u0644\u0643\u0629 \u0648\u062a\u0632\u062f\u0627\u062f \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062d\u064a\u0648\u064a\u0629 \u0628\u0645\u0642\u062f\u0627\u0631 0.66 \u00b1 0.273 g\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0645\u062b\u0644 \u0646\u062d\u0648 5.21% \u0645\u0646 \u0643\u0645\u064a\u0629 \u0627\u0644\u0633\u0643\u0631\u064a\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0647\u0644\u0643\u0629. \u064a\u0633\u062a\u0645\u0631 \u0627\u0633\u062a\u0647\u0644\u0627\u0643 \u0627\u0644\u0631\u0643\u064a\u0632\u0629 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u062e\u0645\u064a\u0631\u060c \u0644\u064a\u0628\u0644\u063a \u0625\u062c\u0645\u0627\u0644\u064a \u0627\u0644\u0633\u0643\u0631\u064a\u0627\u062a \u0627\u0644\u0643\u0644\u064a\u0629 \u0627\u0644\u0645\u0633\u062a\u0647\u0644\u0643\u0629 \u0646\u062d\u0648 95.74% \u0641\u064a \u0627\u0644\u064a\u0648\u0645 \u0627\u0644\u0639\u0627\u0634\u0631 \u0645\u0646 \u0627\u0644\u062a\u062e\u0645\u064a\u0631\u060c \u0623\u064a \u0645\u0627 \u064a\u0639\u0627\u062f\u0644 191.48 \u00b1 1.291 g \u0648\u0628\u0644\u063a \u0627\u0642\u0635\u0649 \u062a\u0631\u0643\u064a\u0632 \u0644\u0644\u0643\u062d\u0648\u0644 \u0641\u064a \u0627\u0644\u064a\u0648\u0645 \u0627\u0644\u0639\u0627\u0634\u0631 \u0623\u064a\u0636\u0627\u064b 120.1 \u00b1 0.04 g \u0623\u0645\u0627 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062d\u064a\u0648\u064a\u0629 \u0641\u0643\u0627\u0646 \u0627\u0644\u062a\u0631\u0643\u064a\u0632 \u0627\u0644\u0623\u0639\u0638\u0645\u064a \u0644\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062d\u064a\u0648\u064a\u0629 X_max=15.39 \u00b1 0.04g\/l\u00a0 \u0641\u064a \u0627\u0644\u064a\u0648\u0645 \u0627\u0644\u0639\u0627\u0634\u0631 \u0645\u0646 \u0627\u0644\u062a\u062e\u0645\u064a\u0631 \u0648\u0643\u0627\u0646 \u0645\u0639\u062f\u0644 \u0627\u0644\u0646\u0645\u0648 \u0627\u0644\u062e\u0627\u0635 \u0628\u062e\u0644\u0627\u064a\u0627 \u0627\u0644\u062e\u0645\u064a\u0631\u0629 \u03bc_max=0.674 h^(-1).\u00a0 \u062a\u0645 \u0646\u0645\u0630\u062c\u0629 \u0639\u0645\u0644\u064a\u0629 \u062a\u0634\u0643\u0644 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062d\u064a\u0648\u064a\u0629 \u0648\u0627\u0633\u062a\u0647\u0644\u0627\u0643 \u0627\u0644\u0631\u0643\u064a\u0632\u0629 \u0648\u0625\u0646\u062a\u0627\u062c \u0627\u0644\u0643\u062d\u0648\u0644 \u0648\u0641\u0642 \u062b\u0644\u0627\u062b \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062e\u0627\u0635\u0629 \u0628\u062f\u0644\u0627\u0644\u0629 \u0627\u0644\u0632\u0645\u0646 \u0627\u0633\u062a\u062e\u062f\u0645\u062a \u0637\u0631\u064a\u0642\u062a\u064a\u0646 Runge-Kutta, Euler \u0644\u062d\u0644\u0647\u0627 \u062d\u064a\u062b\u064f \u062a\u0641\u0648\u0642\u062a \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062d\u0644 \u0628\u0637\u0631\u064a\u0642\u0629 Runge-Kutta \u0639\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u0637\u0631\u064a\u0642\u0629 Euler \u0641\u064a \u0642\u064a\u0627\u0633\u0627\u062a \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062d\u064a\u0648\u064a\u0629 \u0648\u0627\u0644\u0631\u0643\u064a\u0632\u0629 \u0648\u0627\u0644\u0625\u064a\u062b\u0627\u0646\u0648\u0644 \u0644\u0627\u0646\u062e\u0641\u0627\u0636 \u0642\u064a\u0645\u0629 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u062a\u062d\u062f\u064a\u062f R^2 \u0648\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0645\u0637\u0644\u0642 MAE \u0648\u0645\u062a\u0648\u0633\u0637 \u0645\u0631\u0628\u0639 \u0627\u0644\u062e\u0637\u0623 MSE \u062d\u064a\u062b\u064f \u0628\u0644\u063a\u062a \u0627\u0644\u0642\u064a\u0645:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u0627\u0644\u0643\u0644\u0645\u0627\u062a \u0627\u0644\u0645\u0641\u062a\u0627\u062d\u064a\u0629: <\/strong>\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062d\u064a\u0648\u064a\u0629\u060c \u0627\u0644\u0631\u0643\u064a\u0632\u0629\u060c \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062a\u0641\u0627\u0636\u0644\u064a\u0629\u060c Runge-Kutta\u060c Euler.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u0627\u0644\u0628\u062d\u062b \u0643\u0627\u0645\u0644\u0627\u064b \u0628\u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u0639\u0631\u0628\u064a\u0629: <\/strong><a href=\"https:\/\/agri-research-journal.net\/sjar\/wp-content\/uploads\/2026\/04\/v13n2p39.pdf\"><strong>pdf<\/strong><\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u064a\u062d\u064a\u0649 \u0627\u0633\u0645\u0627\u0639\u064a\u06441*\u00a0 \u0648 \u0631\u0627\u0645\u0632 \u0645\u062d\u0645\u062f1\u00a0 \u0648 \u0623\u0644\u0641\u062a \u062c\u0648\u0644\u062d\u06292 1 \u0642\u0633\u0645 \u0639\u0644\u0648\u0645 \u0627\u0644\u0623\u063a\u0630\u064a\u0629 \u0641\u064a \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0644\u0627\u0630\u0642\u064a\u0629\u060c \u0627\u0644\u0644\u0627\u0630\u0642\u064a\u0629\u060c \u0633\u0648\u0631\u064a\u0629. 2 \u0642\u0633\u0645 \u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0627\u062a \u0648\u0627\u0644\u062a\u062d\u0643\u0645 \u0627\u0644\u0622\u0644\u064a \u0641\u064a \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0644\u0627\u0630\u0642\u064a\u0629\u060c \u0633\u0648\u0631\u064a\u0629. (*\u0644\u0644\u0645\u0631\u0627\u0633\u0644\u0629: \u064a\u062d\u064a\u0649 \u063a\u0633\u0627\u0646 \u0627\u0633\u0645\u0627\u0639\u064a\u0644\u060c \u0627\u0644\u0628\u0631\u064a\u062f \u0627\u0644\u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a: \u00a0yahia.esmail@tishreen.edu.sy\u060c \u0647\u0627\u062a\u0641: 0936094505) \u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u0633\u062a\u0644\u0627\u0645: 3\/ 3\/ &hellip; <a href=\"https:\/\/agri-research-journal.net\/sjar\/?p=11779\">\u0623\u0643\u0645\u0644 \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 <span class=\"meta-nav\">&larr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[125],"tags":[1798,1797,1795,926,1796],"class_list":["post-11779","post","type-post","status-publish","format-standard","hentry","category-125","tag-euler","tag-runge-kutta","tag-1795","tag-926","tag-1796"],"_links":{"self":[{"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=\/wp\/v2\/posts\/11779","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11779"}],"version-history":[{"count":2,"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=\/wp\/v2\/posts\/11779\/revisions"}],"predecessor-version":[{"id":11786,"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=\/wp\/v2\/posts\/11779\/revisions\/11786"}],"wp:attachment":[{"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11779"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11779"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agri-research-journal.net\/sjar\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11779"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}