ArticleProceedings of the National Academy of Sciences of the United States of America2014
Mathematical model of sarcoidosis.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 32 papers, 1 of them a synthesis that pooled it.
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Who cites it
32 citing papers in PubMed, 1 synthesis or guideline pooled it, 67 citations in OpenAlex.
- Mathematical modeling in autoimmune diseases: from theory to clinical application.Frontiers in immunology · 2024Pooled it
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- Modeling treatment of diabetic wounds with oxygen therapy and senolytic drug.Scientific reports · 2025Article
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- Reducing M2 macrophage in lung fibrosis by controlling anti-M1 agent.Scientific reports · 2025Article
- Optimal controlling of anti-TGF-[Formula: see text] and anti-PDGF medicines for preventing pulmonary fibrosis.Scientific reports · 2023Article
- Pulmonary Sarcoidosis: Experimental Models and Perspectives of Molecular Diagnostics Using Quantum Dots.International journal of molecular sciences · 2023Review
- Differential angiogenesis of bone and muscle endothelium in aging and inflammatory processes.Communications biology · 2023Article
- Role of tumor necrosis factor-alpha in the central nervous system: a focus on autoimmune disorders.Frontiers in immunology · 2023Review
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- A Mathematical Model of Breast Tumor Progression Based on Immune Infiltration.Journal of personalized medicine · 2021Article
- Data-Driven Mathematical Model of Osteosarcoma.Cancers · 2021Article
- Data Driven Mathematical Model of Colon Cancer Progression.Journal of clinical medicine · 2020Article
- Current Sarcoidosis Models and the Importance of Focusing on the Granuloma.Frontiers in immunology · 2020Review
- A homotopy training algorithm for fully connected neural networks.Proceedings. Mathematical, physical, and engineering sciences · 2019Article
Corrections and comments
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Authors and funding
3 authors at 1 institution in 1 country.
Funding
Abstract
Sarcoidosis is a disease involving abnormal collection of inflammatory cells forming nodules, called granulomas. Such granulomas occur in the lung and the mediastinal lymph nodes, in the heart, and in other vital and nonvital organs. The origin of the disease is unknown, and there are only limited clinical data on lung tissue of patients. No current model of sarcoidosis exists. In this paper we develop a mathematical model on the dynamics of the disease in the lung and use patients' lung tissue data to validate the model. The model is used to explore potential treatments.
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