{"id":635,"date":"2019-05-15T17:51:56","date_gmt":"2019-05-15T15:51:56","guid":{"rendered":"https:\/\/www.bbemg.uliege.be\/?page_id=635"},"modified":"2020-11-06T18:33:27","modified_gmt":"2020-11-06T17:33:27","slug":"modelisation","status":"publish","type":"page","link":"https:\/\/www.bbemg.uliege.be\/fr\/modelisation\/","title":{"rendered":"Mod\u00e9lisation"},"content":{"rendered":"[vc_row type=\u00a0\u00bbin_container\u00a0\u00bb full_screen_row_position=\u00a0\u00bbmiddle\u00a0\u00bb scene_position=\u00a0\u00bbcenter\u00a0\u00bb text_color=\u00a0\u00bbdark\u00a0\u00bb text_align=\u00a0\u00bbleft\u00a0\u00bb overlay_strength=\u00a0\u00bb0.3&Prime; shape_divider_position=\u00a0\u00bbbottom\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][vc_column column_padding=\u00a0\u00bbno-extra-padding\u00a0\u00bb column_padding_position=\u00a0\u00bball\u00a0\u00bb background_color_opacity=\u00a0\u00bb1&Prime; background_hover_color_opacity=\u00a0\u00bb1&Prime; column_link_target=\u00a0\u00bb_self\u00a0\u00bb column_shadow=\u00a0\u00bbnone\u00a0\u00bb column_border_radius=\u00a0\u00bbnone\u00a0\u00bb width=\u00a0\u00bb1\/1&Prime; tablet_width_inherit=\u00a0\u00bbdefault\u00a0\u00bb tablet_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb phone_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb column_border_width=\u00a0\u00bbnone\u00a0\u00bb column_border_style=\u00a0\u00bbsolid\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][heading]\n<h1>Mod\u00e9lisation<\/h1>\n[\/heading][\/vc_column][\/vc_row][vc_row type=\u00a0\u00bbin_container\u00a0\u00bb full_screen_row_position=\u00a0\u00bbmiddle\u00a0\u00bb scene_position=\u00a0\u00bbcenter\u00a0\u00bb text_color=\u00a0\u00bbdark\u00a0\u00bb text_align=\u00a0\u00bbleft\u00a0\u00bb overlay_strength=\u00a0\u00bb0.3&Prime; shape_divider_position=\u00a0\u00bbbottom\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][vc_column column_padding=\u00a0\u00bbno-extra-padding\u00a0\u00bb column_padding_position=\u00a0\u00bball\u00a0\u00bb background_color_opacity=\u00a0\u00bb1&Prime; background_hover_color_opacity=\u00a0\u00bb1&Prime; column_link_target=\u00a0\u00bb_self\u00a0\u00bb column_shadow=\u00a0\u00bbnone\u00a0\u00bb column_border_radius=\u00a0\u00bbnone\u00a0\u00bb width=\u00a0\u00bb1\/1&Prime; tablet_width_inherit=\u00a0\u00bbdefault\u00a0\u00bb tablet_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb phone_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb column_border_width=\u00a0\u00bbnone\u00a0\u00bb column_border_style=\u00a0\u00bbsolid\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][vc_column_text]La mod\u00e9lisation math\u00e9matique consiste \u00e0 construire une repr\u00e9sentation math\u00e9matique de la r\u00e9alit\u00e9 dans le but d&rsquo;essayer d&rsquo;expliquer certains de ses aspects, en se basant sur des hypoth\u00e8ses simplificatrices. La repr\u00e9sentation math\u00e9matique consiste g\u00e9n\u00e9ralement en un ensemble de variables et un ensemble d&rsquo;\u00e9quations, ces derni\u00e8res \u00e9tablissant des relations entre les variables. Le mod\u00e8le math\u00e9matique permet, par exemple, de facilement tester diff\u00e9rents cas de figure, de comprendre les relations entre les variables, d&rsquo;extrapoler les donn\u00e9es afin de leur donner un sens, &#8230; Les mod\u00e8les sont typiquement utilis\u00e9s lorsqu&rsquo;il est impossible ou peu pratique de mettre en place des exp\u00e9riences durant lesquelles les scientifiques peuvent mesurer directement les r\u00e9sultats. Cependant, m\u00eame si l&rsquo;approche exp\u00e9rimentale est possible, obtenir un bon mod\u00e8le math\u00e9matique est toujours int\u00e9ressant, car le mod\u00e8le peut fournir des indications sur le fonctionnement interne d&rsquo;un syst\u00e8me alors que les mesures directes ne le permettent pas n\u00e9cessairement.<\/p>\n<p>Dans les recherches sur les champs \u00e9lectromagn\u00e9tiques, un effort important est consacr\u00e9 \u00e0 la construction de mod\u00e8les math\u00e9matiques permettant de calculer les champs \u00e9lectriques et magn\u00e9tiques g\u00e9n\u00e9r\u00e9s par des appareils ou installations \u00e9lectriques (lignes \u00e0 haute tension, transformateurs, moteurs, circuits \u00e9lectroniques, fours&#8230;). Depuis peu, les chercheurs tentent d&rsquo;\u00e9tendre l&rsquo;utilisation de ces mod\u00e8les au calcul des champs \u00e9lectromagn\u00e9tiques \u00e0 l&rsquo;int\u00e9rieur des organismes vivants (du niveau cellulaire jusqu&rsquo;au corps humain entier). De tels mod\u00e8les sont extr\u00eamement complexes, et ne peuvent pas \u00eatre r\u00e9solus \u00ab\u00a0\u00e0 la main\u00a0\u00bb sur papier: ils requi\u00e8rent\u00a0l&rsquo;utilisation d&rsquo;ordinateurs qui fragmentent le corps en de nombreuses formes g\u00e9om\u00e9triques simples (par exemple, des petits cubes), dans lesquelles des \u00e9quations math\u00e9matiques sont r\u00e9solues.<\/p>\n<p>La mod\u00e9lisation pr\u00e9sente un int\u00e9r\u00eat majeur dans la d\u00e9finition des directives et recommandations limitant l\u2019exposition du public aux champs \u00e9lectromagn\u00e9tiques. Par exemple, les directives r\u00e9centes ont \u00e9t\u00e9 \u00e9tablies dans le but d\u2019\u00e9viter des champs \u00e9lectriques internes sup\u00e9rieurs \u00e0 0,02 V\/m pour le public et 0,1 V\/m en milieu professionnel (voir les pages <a href=\"https:\/\/www.bbemg.uliege.be\/normes\/?lang=fr\">Normes<\/a>). La mod\u00e9lisation permet de pr\u00e9dire l\u2019intensit\u00e9 de tels champs \u00e9lectriques internes dans des mod\u00e8les complets du corps humain ou dans des mod\u00e8les de parties de corps expos\u00e9s \u00e0 diverses sources externes (champs magn\u00e9tiques, champs \u00e9lectriques, courants de contact, &#8230;). La mod\u00e9lisation est \u00e9galement pertinente dans les \u00e9tudes in vitro et in vivo afin d\u2019\u00e9valuer pr\u00e9cis\u00e9ment la distribution des champs dans les cellules et les animaux de laboratoire, en fonction du syst\u00e8me d\u2019exposition. C\u2019est un outil important pour \u00e9valuer la dose biologique li\u00e9e \u00e0 l\u2019exposition aux champs \u00e9lectromagn\u00e9tiques.[\/vc_column_text][\/vc_column][\/vc_row][vc_row type=\u00a0\u00bbin_container\u00a0\u00bb full_screen_row_position=\u00a0\u00bbmiddle\u00a0\u00bb scene_position=\u00a0\u00bbcenter\u00a0\u00bb text_color=\u00a0\u00bbdark\u00a0\u00bb text_align=\u00a0\u00bbleft\u00a0\u00bb overlay_strength=\u00a0\u00bb0.3&Prime; shape_divider_position=\u00a0\u00bbbottom\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb source=\u00a0\u00bb\u00a0\u00bb text=\u00a0\u00bb2013 &#8211; 2017&Prime; font_container=\u00a0\u00bbtag:h2|text_align:left|color:%2349b0e5&Prime; use_theme_fonts=\u00a0\u00bbyes\u00a0\u00bb google_fonts=\u00a0\u00bbfont_family:Abril%20Fatface%3Aregular|font_style:400%20regular%3A400%3Anormal\u00a0\u00bb css_animation=\u00a0\u00bb\u00a0\u00bb link=\u00a0\u00bb\u00a0\u00bb el_id=\u00a0\u00bb\u00a0\u00bb el_class=\u00a0\u00bb\u00a0\u00bb css=\u00a0\u00bb\u00a0\u00bb][vc_column column_padding=\u00a0\u00bbno-extra-padding\u00a0\u00bb column_padding_position=\u00a0\u00bball\u00a0\u00bb background_color_opacity=\u00a0\u00bb1&Prime; background_hover_color_opacity=\u00a0\u00bb1&Prime; column_link_target=\u00a0\u00bb_self\u00a0\u00bb column_shadow=\u00a0\u00bbnone\u00a0\u00bb column_border_radius=\u00a0\u00bbnone\u00a0\u00bb width=\u00a0\u00bb1\/1&Prime; tablet_width_inherit=\u00a0\u00bbdefault\u00a0\u00bb tablet_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb phone_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb column_border_width=\u00a0\u00bbnone\u00a0\u00bb column_border_style=\u00a0\u00bbsolid\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][vc_custom_heading text=\u00a0\u00bbEn bref&#8230;\u00a0\u00bb font_container=\u00a0\u00bbtag:h2|text_align:left|color:%2349b0e5&Prime; use_theme_fonts=\u00a0\u00bbyes\u00a0\u00bb][vc_custom_heading text=\u00a0\u00bbAvantages de la mod\u00e9lisation\u00a0\u00bb font_container=\u00a0\u00bbtag:h3|text_align:left|color:%233f3f3f\u00a0\u00bb use_theme_fonts=\u00a0\u00bbyes\u00a0\u00bb][vc_column_text]\n<ul>\n<li>Reproduction ais\u00e9e des \u201cexp\u00e9rimentations\u201d virtuelles<\/li>\n<li>M\u00e9thode moins co\u00fbteuse que les exp\u00e9riences en laboratoire<\/li>\n<li>Possibilit\u00e9 de tester de nombreuses variantes<\/li>\n<li>Non invasif<\/li>\n<\/ul>\n[\/vc_column_text][vc_custom_heading text=\u00a0\u00bbLimites de la mod\u00e9lisation\u00a0\u00bb font_container=\u00a0\u00bbtag:h3|text_align:left|color:%233f3f3f\u00a0\u00bb use_theme_fonts=\u00a0\u00bbyes\u00a0\u00bb][vc_column_text]\n<ul>\n<li>Potentiellement erron\u00e9 si bas\u00e9 sur de mauvaises hypoth\u00e8ses simplificatrices<\/li>\n<li>Potentiellement erron\u00e9 si les donn\u00e9es d&rsquo;entr\u00e9e du mod\u00e8le ne sont pas correctes<\/li>\n<\/ul>\n<p>La premi\u00e8re limitation doit \u00eatre r\u00e9solue par la validation du mod\u00e8le math\u00e9matique par des exp\u00e9riences qui peuvent \u00eatre reproduites en laboratoire. L\u2019absence d\u2019agr\u00e9ment entre les mod\u00e8les math\u00e9matiques th\u00e9oriques et les mesures exp\u00e9rimentales m\u00e8ne souvent \u00e0 des avanc\u00e9es importantes lorsque de meilleures th\u00e9ories sont d\u00e9velopp\u00e9es. Pour tenter de rem\u00e9dier \u00e0 la seconde limitation, des mod\u00e8les math\u00e9matiques probabilistes (stochastiques) sont d\u00e9velopp\u00e9s, mod\u00e8les qui analysent la sensibilit\u00e9 des r\u00e9sultats par rapport aux incertitudes des donn\u00e9es d&rsquo;entr\u00e9e.[\/vc_column_text][\/vc_column][\/vc_row][vc_row type=\u00a0\u00bbin_container\u00a0\u00bb full_screen_row_position=\u00a0\u00bbmiddle\u00a0\u00bb scene_position=\u00a0\u00bbcenter\u00a0\u00bb text_color=\u00a0\u00bbdark\u00a0\u00bb text_align=\u00a0\u00bbleft\u00a0\u00bb overlay_strength=\u00a0\u00bb0.3&Prime; shape_divider_position=\u00a0\u00bbbottom\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb source=\u00a0\u00bb\u00a0\u00bb text=\u00a0\u00bb2013 &#8211; 2017&Prime; font_container=\u00a0\u00bbtag:h2|text_align:left|color:%2349b0e5&Prime; use_theme_fonts=\u00a0\u00bbyes\u00a0\u00bb google_fonts=\u00a0\u00bbfont_family:Abril%20Fatface%3Aregular|font_style:400%20regular%3A400%3Anormal\u00a0\u00bb css_animation=\u00a0\u00bb\u00a0\u00bb link=\u00a0\u00bb\u00a0\u00bb el_id=\u00a0\u00bb\u00a0\u00bb el_class=\u00a0\u00bb\u00a0\u00bb css=\u00a0\u00bb\u00a0\u00bb][vc_column column_padding=\u00a0\u00bbno-extra-padding\u00a0\u00bb column_padding_position=\u00a0\u00bball\u00a0\u00bb background_color_opacity=\u00a0\u00bb1&Prime; background_hover_color_opacity=\u00a0\u00bb1&Prime; column_link_target=\u00a0\u00bb_self\u00a0\u00bb column_shadow=\u00a0\u00bbnone\u00a0\u00bb column_border_radius=\u00a0\u00bbnone\u00a0\u00bb width=\u00a0\u00bb1\/1&Prime; tablet_width_inherit=\u00a0\u00bbdefault\u00a0\u00bb tablet_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb phone_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb column_border_width=\u00a0\u00bbnone\u00a0\u00bb column_border_style=\u00a0\u00bbsolid\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][vc_custom_heading text=\u00a0\u00bbDocuments &amp; Liens\u00a0\u00bb font_container=\u00a0\u00bbtag:h2|text_align:left|color:%2349b0e5&Prime; use_theme_fonts=\u00a0\u00bbyes\u00a0\u00bb][vc_column_text]\n<ul>\n<li><a href=\"https:\/\/www.bbemg.uliege.be\/files\/FR\/modalites-des-recherches.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Information sur les types de recherches en PDF (882 Ko)<\/a><\/li>\n<\/ul>\n[\/vc_column_text][\/vc_column][\/vc_row][vc_row type=\u00a0\u00bbin_container\u00a0\u00bb full_screen_row_position=\u00a0\u00bbmiddle\u00a0\u00bb scene_position=\u00a0\u00bbcenter\u00a0\u00bb text_color=\u00a0\u00bbdark\u00a0\u00bb text_align=\u00a0\u00bbleft\u00a0\u00bb overlay_strength=\u00a0\u00bb0.3&Prime; shape_divider_position=\u00a0\u00bbbottom\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb source=\u00a0\u00bb\u00a0\u00bb text=\u00a0\u00bb2013 &#8211; 2017&Prime; font_container=\u00a0\u00bbtag:h2|text_align:left|color:%2349b0e5&Prime; use_theme_fonts=\u00a0\u00bbyes\u00a0\u00bb google_fonts=\u00a0\u00bbfont_family:Abril%20Fatface%3Aregular|font_style:400%20regular%3A400%3Anormal\u00a0\u00bb css_animation=\u00a0\u00bb\u00a0\u00bb link=\u00a0\u00bb\u00a0\u00bb el_id=\u00a0\u00bb\u00a0\u00bb el_class=\u00a0\u00bb\u00a0\u00bb css=\u00a0\u00bb\u00a0\u00bb][vc_column column_padding=\u00a0\u00bbno-extra-padding\u00a0\u00bb column_padding_position=\u00a0\u00bball\u00a0\u00bb background_color_opacity=\u00a0\u00bb1&Prime; background_hover_color_opacity=\u00a0\u00bb1&Prime; column_link_target=\u00a0\u00bb_self\u00a0\u00bb column_shadow=\u00a0\u00bbnone\u00a0\u00bb column_border_radius=\u00a0\u00bbnone\u00a0\u00bb width=\u00a0\u00bb1\/1&Prime; tablet_width_inherit=\u00a0\u00bbdefault\u00a0\u00bb tablet_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb phone_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb column_border_width=\u00a0\u00bbnone\u00a0\u00bb column_border_style=\u00a0\u00bbsolid\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][vc_custom_heading text=\u00a0\u00bbAutres th\u00e8mes qui pourraient vous int\u00e9resser &#8230;\u00a0\u00bb font_container=\u00a0\u00bbtag:h2|text_align:left|color:%2349b0e5&Prime; use_theme_fonts=\u00a0\u00bbyes\u00a0\u00bb][vc_column_text]\n<ul>\n<li><a href=\"https:\/\/www.bbemg.uliege.be\/une-seule-etude-ce-nest-pas-assez\/?lang=fr\">Une seule \u00e9tude, ce n&rsquo;est pas assez!<\/a><\/li>\n<\/ul>\n[\/vc_column_text][\/vc_column][\/vc_row]\n","protected":false},"excerpt":{"rendered":"<p>[vc_row type=\u00a0\u00bbin_container\u00a0\u00bb full_screen_row_position=\u00a0\u00bbmiddle\u00a0\u00bb scene_position=\u00a0\u00bbcenter\u00a0\u00bb text_color=\u00a0\u00bbdark\u00a0\u00bb text_align=\u00a0\u00bbleft\u00a0\u00bb overlay_strength=\u00a0\u00bb0.3&Prime; shape_divider_position=\u00a0\u00bbbottom\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][vc_column column_padding=\u00a0\u00bbno-extra-padding\u00a0\u00bb column_padding_position=\u00a0\u00bball\u00a0\u00bb background_color_opacity=\u00a0\u00bb1&Prime; background_hover_color_opacity=\u00a0\u00bb1&Prime; column_link_target=\u00a0\u00bb_self\u00a0\u00bb column_shadow=\u00a0\u00bbnone\u00a0\u00bb column_border_radius=\u00a0\u00bbnone\u00a0\u00bb width=\u00a0\u00bb1\/1&Prime; tablet_width_inherit=\u00a0\u00bbdefault\u00a0\u00bb tablet_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb phone_text_alignment=\u00a0\u00bbdefault\u00a0\u00bb column_border_width=\u00a0\u00bbnone\u00a0\u00bb column_border_style=\u00a0\u00bbsolid\u00a0\u00bb bg_image_animation=\u00a0\u00bbnone\u00a0\u00bb][heading] Mod\u00e9lisation [\/heading][\/vc_column][\/vc_row][vc_row type=\u00a0\u00bbin_container\u00a0\u00bb full_screen_row_position=\u00a0\u00bbmiddle\u00a0\u00bb scene_position=\u00a0\u00bbcenter\u00a0\u00bb text_color=\u00a0\u00bbdark\u00a0\u00bb text_align=\u00a0\u00bbleft\u00a0\u00bb&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-sidebar.php","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-635","page","type-page","status-publish"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Mod\u00e9lisation - BBEMG - Belgian BioElectroMagnetics Group<\/title>\n<meta name=\"description\" content=\"La mod\u00e9lisation consiste \u00e0 construire une repr\u00e9sentation math\u00e9matique des CEM dans le but d\u2019essayer d\u2019expliquer leur distribution.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.bbemg.uliege.be\/fr\/modelisation\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mod\u00e9lisation - BBEMG - Belgian BioElectroMagnetics Group\" \/>\n<meta property=\"og:description\" content=\"La mod\u00e9lisation consiste \u00e0 construire une repr\u00e9sentation math\u00e9matique des CEM dans le but d\u2019essayer d\u2019expliquer leur distribution.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.bbemg.uliege.be\/fr\/modelisation\/\" \/>\n<meta property=\"og:site_name\" content=\"BBEMG - Belgian BioElectroMagnetics Group\" \/>\n<meta property=\"article:modified_time\" content=\"2020-11-06T17:33:27+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@bbemg\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" 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