A Coupled Discrete/Continuum Model for Describing Cancer-Therapeutic Transport in the Lung
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{"title"=>"A coupled discrete/continuum model for describing cancer-therapeutic transport in the lung", "type"=>"journal", "authors"=>[{"first_name"=>"Karin", "last_name"=>"Erbertseder", "scopus_author_id"=>"54388376600"}, {"first_name"=>"Johannes", "last_name"=>"Reichold", "scopus_author_id"=>"17135691600"}, {"first_name"=>"Bernd", "last_name"=>"Flemisch", "scopus_author_id"=>"7801345315"}, {"first_name"=>"Patrick", "last_name"=>"Jenny", "scopus_author_id"=>"7003429086"}, {"first_name"=>"Rainer", "last_name"=>"Helmig", "scopus_author_id"=>"7003960799"}], "year"=>2012, "source"=>"PLoS ONE", "identifiers"=>{"scopus"=>"2-s2.0-84858020977", "pmid"=>"22438873", "sgr"=>"84858020977", "issn"=>"19326203", "pui"=>"364412893", "doi"=>"10.1371/journal.pone.0031966"}, "id"=>"c49baf40-e28b-357c-85d8-a280004360e3", "abstract"=>"We propose a computational simulation framework for describing cancer-therapeutic transport in the lung. A discrete vascular graph model (VGM) is coupled to a double-continuum model (DCM) to determine the amount of administered therapeutic agent that will reach the cancer cells. An alveolar cell carcinoma is considered. The processes in the bigger blood vessels (arteries, arterioles, venules and veins) are described by the VGM. The processes in the alveolar capillaries and the surrounding tissue are represented by a continuum approach for porous media. The system of equations of the coupled discrete/continuum model contains terms that account for degradation processes of the therapeutic agent, the reduction of the number of drug molecules by the lymphatic system and the interaction of the drug with the tissue cells. The functionality of the coupled discrete/continuum model is demonstrated in example simulations using simplified pulmonary vascular networks, which are designed to show-off the capabilities of the model rather than being physiologically accurate.", "link"=>"http://www.mendeley.com/research/coupled-discretecontinuum-model-describing-cancertherapeutic-transport-lung", "reader_count"=>36, "reader_count_by_academic_status"=>{"Unspecified"=>3, "Researcher"=>11, "Student > Ph. D. Student"=>15, "Student > Master"=>3, "Student > Bachelor"=>1, "Professor"=>3}, "reader_count_by_user_role"=>{"Unspecified"=>3, "Researcher"=>11, "Student > Ph. D. Student"=>15, "Student > Master"=>3, "Student > Bachelor"=>1, "Professor"=>3}, "reader_count_by_subject_area"=>{"Engineering"=>12, "Unspecified"=>4, "Environmental Science"=>1, "Mathematics"=>4, "Agricultural and Biological Sciences"=>5, "Medicine and Dentistry"=>4, "Physics and Astronomy"=>2, "Computer Science"=>3, "Energy"=>1}, "reader_count_by_subdiscipline"=>{"Engineering"=>{"Engineering"=>12}, "Medicine and Dentistry"=>{"Medicine and Dentistry"=>4}, "Energy"=>{"Energy"=>1}, "Physics and Astronomy"=>{"Physics and Astronomy"=>2}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>5}, "Computer Science"=>{"Computer Science"=>3}, "Mathematics"=>{"Mathematics"=>4}, "Unspecified"=>{"Unspecified"=>4}, "Environmental Science"=>{"Environmental Science"=>1}}, "reader_count_by_country"=>{"United States"=>2, "Denmark"=>1, "United Kingdom"=>1, "Germany"=>1}, "group_count"=>3}

Scopus | Further Information

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Figshare

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  • {"files"=>["https://ndownloader.figshare.com/files/668674"], "description"=>"<p>Explanation of the general concept of the double-continuum model.</p>", "links"=>[], "tags"=>["double-continuum"], "article_id"=>339163, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g004", "stats"=>{"downloads"=>3, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Explanation_of_the_general_concept_of_the_double_continuum_model_/339163", "title"=>"Explanation of the general concept of the double-continuum model.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:49:28"}
  • {"files"=>["https://ndownloader.figshare.com/files/669793"], "description"=>"1<p>Fluid properties do not change in a tumor.</p>2<p>There is no lymphatic system in a tumor.</p>3<p>The healthy parameter value is also taken for the tumor area.</p><p>t: tumor tissue; n: normal tissue.</p>", "links"=>[], "tags"=>["parameters", "alveolus"], "article_id"=>340282, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.t003", "stats"=>{"downloads"=>3, "page_views"=>6, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Model_parameters_of_the_alveolus_model_/340282", "title"=>"Model parameters of the alveolus model.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2013-02-20 07:55:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/669861"], "description"=>"<p>Model of the pulmonary arterial tree (according to <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone.0031966-Horsfield1\" target=\"_blank\">[36]</a>).</p>", "links"=>[], "tags"=>["pulmonary", "arterial"], "article_id"=>340360, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.t001", "stats"=>{"downloads"=>0, "page_views"=>35, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Model_of_the_pulmonary_arterial_tree_according_to_36_/340360", "title"=>"Model of the pulmonary arterial tree (according to [36]).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2013-02-20 07:55:36"}
  • {"files"=>["https://ndownloader.figshare.com/files/668329"], "description"=>"<p>The vascular graph model describes the processes occurring in the arteries, arterioles, venules and veins. The alveolus model, a double-continuum approach, represents the processes occurring in the capillary bed and the surrounding tissue (right image according to Terese Winslow).</p>", "links"=>[], "tags"=>["Computational biology", "biotechnology", "computer science", "mathematics"], "article_id"=>338805, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g001", "stats"=>{"downloads"=>1, "page_views"=>23, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_General_model_concept_/338805", "title"=>"General model concept.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:47:34"}
  • {"files"=>["https://ndownloader.figshare.com/files/668875"], "description"=>"<p>Hexagonal mesh of pulmonary capillaries embedded in a cuboid.</p>", "links"=>[], "tags"=>["permeability", "tensor", "capillary"], "article_id"=>339363, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g006", "stats"=>{"downloads"=>1, "page_views"=>15, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Determination_of_the_permeability_tensor_for_the_capillary_continuum_/339363", "title"=>"Determination of the permeability tensor for the capillary continuum.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:50:29"}
  • {"files"=>["https://ndownloader.figshare.com/files/669900"], "description"=>"<p>Calculation of permeability field of the cuboid shown in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone-0031966-g006\" target=\"_blank\">Figure 6</a>.</p>", "links"=>[], "tags"=>["permeability", "cuboid", "shown"], "article_id"=>340382, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.t004", "stats"=>{"downloads"=>5, "page_views"=>6, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Calculation_of_permeability_field_of_the_cuboid_shown_in_Figure_6_/340382", "title"=>"Calculation of permeability field of the cuboid shown in Figure 6.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2013-02-20 07:55:46"}
  • {"files"=>["https://ndownloader.figshare.com/files/668934"], "description"=>"<p>Paracellular and transcellular pathways <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone.0031966-Baber1\" target=\"_blank\">[48]</a>.</p>", "links"=>[], "tags"=>["transcellular", "pathways"], "article_id"=>339422, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g007", "stats"=>{"downloads"=>0, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Paracellular_and_transcellular_pathways_48_/339422", "title"=>"Paracellular and transcellular pathways [48].", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:50:51"}
  • {"files"=>["https://ndownloader.figshare.com/files/668505"], "description"=>"<p>A collection of nodes <i>i</i> connected by edges <i>ij</i>.</p>", "links"=>[], "tags"=>["vascular"], "article_id"=>338993, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g002", "stats"=>{"downloads"=>4, "page_views"=>13, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Schematic_representation_of_a_vascular_graph_/338993", "title"=>"Schematic representation of a vascular graph.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:48:35"}
  • {"files"=>["https://ndownloader.figshare.com/files/668568"], "description"=>"<p>Gravity dependence of pulmonary blood flow.</p>", "links"=>[], "tags"=>["dependence", "pulmonary"], "article_id"=>339055, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g003", "stats"=>{"downloads"=>1, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Gravity_dependence_of_pulmonary_blood_flow_/339055", "title"=>"Gravity dependence of pulmonary blood flow.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:48:55"}
  • {"files"=>["https://ndownloader.figshare.com/files/668766"], "description"=>"<p>Fixed pressures and set at all nodes crossing the left and right face normal to x respectively (no-flow boundary condition at all nodes crossing the other four faces). Effective permeability computed from pressure gradient and integral mass flow through the REV's capillary network (image modified from <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone.0031966-Reichold1\" target=\"_blank\">[9]</a>).</p>", "links"=>[], "tags"=>["permeability"], "article_id"=>339256, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g005", "stats"=>{"downloads"=>2, "page_views"=>10, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Computation_of_the_effective_permeability_of_a_REV_/339256", "title"=>"Computation of the effective permeability of a REV.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:49:57"}
  • {"files"=>["https://ndownloader.figshare.com/files/669718"], "description"=>"<p>(a) Pressure distribution within the pulmonary capillary bed continuum [Pa]. (b) Drug distribution [] within the pulmonary capillary bed continuum. (c) Pressure distribution within the pulmonary tissue continuum [Pa]. (d) Drug distribution [] within the pulmonary tissue continuum.</p>", "links"=>[], "tags"=>["alveolus", "rectangle"], "article_id"=>340206, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g014", "stats"=>{"downloads"=>1, "page_views"=>6, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Results_for_a_tumor_alveolus_middle_blue_rectangle_in_Figure_10_at_the_final_time_step_of_the_simulation_/340206", "title"=>"Results for a tumor alveolus (middle blue rectangle in Figure 10), at the final time step of the simulation.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:54:51"}
  • {"files"=>["https://ndownloader.figshare.com/files/669267"], "description"=>"<p>The black lines represent the blood vessels, which form the unstructured grid of the VGM. The red nodes and the blue rectangles symbolize the capillary bed and pulmonary tissue around an alveolus, which are simulated using the DCM. The red nodes are the healthy upscaled nodes and the blue rectangles are the tumorous ones. The blood vessels above/below the alveoli are arteries/veins of the order one to four, with a morphology according to <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone-0031966-t001\" target=\"_blank\">Table 1</a> and <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone-0031966-t002\" target=\"_blank\">Table 2</a> respectively. The numbers indicate the classification of the vessel segments according to the Strahler ordering system.</p>", "links"=>[], "tags"=>["vascular", "graph", "coupled"], "article_id"=>339755, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g010", "stats"=>{"downloads"=>3, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Visualization_of_the_vascular_graph_coupled_to_the_DCM_/339755", "title"=>"Visualization of the vascular graph coupled to the DCM.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:52:32"}
  • {"files"=>["https://ndownloader.figshare.com/files/669416"], "description"=>"<p><b>Left.</b> Model domain of the alveolus model for an healthy upscaled node consisting of a spherical shell with an inner diameter of 140 and an outer diameter of 364 (image modified from Weibel (1991) <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone.0031966-Weibel2\" target=\"_blank\">[33]</a>). <b>Right.</b> Different kind of structures comprised by the model domain of the DCM.</p>", "links"=>[], "tags"=>["Computational biology", "biotechnology", "computer science", "mathematics"], "article_id"=>339897, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g011", "stats"=>{"downloads"=>1, "page_views"=>43, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Figure_11_/339897", "title"=>"Figure 11", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:53:17"}
  • {"files"=>["https://ndownloader.figshare.com/files/669024"], "description"=>"<p>Processes and forces of transvascular exchange <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone.0031966-Baber1\" target=\"_blank\">[48]</a>.</p>", "links"=>[], "tags"=>["forces", "transvascular"], "article_id"=>339512, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g008", "stats"=>{"downloads"=>0, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Processes_and_forces_of_transvascular_exchange_48_/339512", "title"=>"Processes and forces of transvascular exchange [48].", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:51:16"}
  • {"files"=>["https://ndownloader.figshare.com/files/669167"], "description"=>"<p>Concept for the coupling of the DCM to the VGM.</p>", "links"=>[], "tags"=>["coupling", "dcm"], "article_id"=>339653, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g009", "stats"=>{"downloads"=>1, "page_views"=>9, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Concept_for_the_coupling_of_the_DCM_to_the_VGM_/339653", "title"=>"Concept for the coupling of the DCM to the VGM.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:52:00"}
  • {"files"=>["https://ndownloader.figshare.com/files/669612"], "description"=>"<p>(a) Pressure distribution within the pulmonary capillary bed continuum [Pa]. (b) Drug distribution [] within the pulmonary capillary bed continuum. (c) Pressure distribution within the pulmonary tissue continuum [Pa]. (d) Drug distribution [] within the pulmonary tissue continuum.</p>", "links"=>[], "tags"=>["alveolus", "node"], "article_id"=>340100, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.g013", "stats"=>{"downloads"=>1, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Results_for_a_healthy_alveolus_leftmost_red_node_in_Figure_10_at_the_final_time_step_of_the_simulation_/340100", "title"=>"Results for a healthy alveolus (leftmost red node in Figure 10), at the final time step of the simulation.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-20 07:54:19"}
  • {"files"=>["https://ndownloader.figshare.com/files/669827"], "description"=>"<p>Model of the pulmonary venous tree (according to <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0031966#pone.0031966-Horsfield2\" target=\"_blank\">[37]</a>).</p>", "links"=>[], "tags"=>["pulmonary", "venous"], "article_id"=>340319, "categories"=>["Biotechnology", "Mathematics", "Biological Sciences", "Information And Computing Sciences"], "users"=>["Karin Erbertseder", "Johannes Reichold", "Bernd Flemisch", "Patrick Jenny", "Rainer Helmig"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0031966.t002", "stats"=>{"downloads"=>0, "page_views"=>3, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Model_of_the_pulmonary_venous_tree_according_to_37_/340319", "title"=>"Model of the pulmonary venous tree (according to [37]).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2013-02-20 07:55:26"}

PMC Usage Stats | Further Information

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Relative Metric

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