Deterministic and Stochastic Study for a Microscopic Angiogenesis Model: Applications to the Lewis Lung Carcinoma
Publication Date
May 16, 2016
Journal
PLOS ONE
Authors
Marek Bodnar, Pilar Guerrero, Ruben Perez Carrasco & Monika J. Piotrowska
Volume
11
Issue
5
Pages
e0155553
DOI
https://dx.plos.org/10.1371/journal.pone.0155553
Publisher URL
http://journals.plos.org/plosone/article?id=10.1371%2Fjournal.pone.0155553
Scopus
84969611115
Mendeley
http://www.mendeley.com/research/deterministic-stochastic-study-microscopic-angiogenesis-model-applications-lewis-lung-carcinoma
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Mendeley | Further Information

{"title"=>"Deterministic and stochastic study for a microscopic angiogenesis model: Applications to the lewis lung carcinoma", "type"=>"journal", "authors"=>[{"first_name"=>"Marek", "last_name"=>"Bodnar", "scopus_author_id"=>"7003355523"}, {"first_name"=>"Pilar", "last_name"=>"Guerrero", "scopus_author_id"=>"16458078800"}, {"first_name"=>"Ruben", "last_name"=>"Perez-Carrasco", "scopus_author_id"=>"35783351200"}, {"first_name"=>"Monika J.", "last_name"=>"Piotrowska", "scopus_author_id"=>"36937261000"}], "year"=>2016, "source"=>"PLoS ONE", "identifiers"=>{"pmid"=>"27182891", "doi"=>"10.1371/journal.pone.0155553", "pui"=>"610398145", "issn"=>"19326203", "sgr"=>"84969611115", "scopus"=>"2-s2.0-84969611115"}, "id"=>"07810796-7e1a-3590-9920-e88998905a55", "abstract"=>"Angiogenesis modelling is an important tool to understand the underlying mechanisms yielding tumour growth. Nevertheless, there is usually a gap between models and experimental data. We propose a model based on the intrinsic microscopic reactions defining the angiogenesis process to link experimental data with previous macroscopic models. The microscopic characterisation can describe the macroscopic behaviour of the tumour, which stability analysis reveals a set of predicted tumour states involving different morphologies. Additionally, the microscopic description also gives a framework to study the intrinsic stochasticity of the reactive system through the resulting Langevin equation. To follow the goal of the paper, we use available experimental information on the Lewis lung carcinoma to infer meaningful parameters for the model that are able to describe the different stages of the tumour growth. Finally we explore the predictive capabilities of the fitted model by showing that fluctuations are determinant for the survival of the tumour during the first week and that available treatments can give raise to new stable tumour dormant states with a reduced vascular network.", "link"=>"http://www.mendeley.com/research/deterministic-stochastic-study-microscopic-angiogenesis-model-applications-lewis-lung-carcinoma", "reader_count"=>8, "reader_count_by_academic_status"=>{"Professor > Associate Professor"=>1, "Researcher"=>4, "Student > Ph. D. Student"=>3}, "reader_count_by_user_role"=>{"Professor > Associate Professor"=>1, "Researcher"=>4, "Student > Ph. D. Student"=>3}, "reader_count_by_subject_area"=>{"Unspecified"=>2, "Mathematics"=>3, "Agricultural and Biological Sciences"=>2, "Physics and Astronomy"=>1}, "reader_count_by_subdiscipline"=>{"Physics and Astronomy"=>{"Physics and Astronomy"=>1}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>2}, "Mathematics"=>{"Mathematics"=>3}, "Unspecified"=>{"Unspecified"=>2}}, "reader_count_by_country"=>{"United Kingdom"=>2}, "group_count"=>0}

Scopus | Further Information

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