journal article·2025-04-30Open access

Non-Linear Modeling of Immune System Activation and Lymph Flow Dynamics

Ştefan Cǎtǎlin Petrescu, Ruxandra Ioana Cipu, Andra Cristiana Maria-Fulaşu, Elena Corina Cipu

Applied Sciences· Volume 15· Issue 9

Abstract

The immune system is a vital defense network within the body, where lymph and lymph nodes play pivotal roles. Lymph is a transparent fluid containing white blood cells, specifically lymphocytes, which circulate through the lymphatic system, rapidly multiplying to fight viruses and bacteria. Lymph nodes function as filters, capturing and eliminating infections and abnormal cells found in the lymphatic fluid prior to its reentry into the circulatory system. A thorough meta-analysis of research publications in the topic is conducted utilizing Bibliometrix to comprehensively assess the current literature. The paper is centered on understanding the intricate relationship between interferons, dendritic cells, and macrophages in the lymphatic system during hepatitis virus infection. A nonlinear model for the development of the virus is used, together with the initial conditions, for a much better understanding of a hepatitis-C infection. The associated Cauchy problem is numerically solved and graphs are depicted. The interpretation of the figures explains the dynamics of interferons, dendritic cells, and macrophages as well as their interaction with other factors. By adopting an interdisciplinary approach, this study offers fresh perspectives and uncovers new research areas to better comprehend and battle hepatitis virus infections.
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Research context

OpenAlex topics: Immune Cell Function and Interaction · T-cell and B-cell Immunology · Diabetes and associated disorders

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty of Engineering in Foreign Languages, University Politehnica of Bucharest, 060042 Bucharest, Romania

Centre for Research and Training in Innovative Techniques of Applied Mathematics in Engineering “Traian Lalescu” (CiTi), University Politehnica of Bucharest, 060042 Bucharest, Romania

Faculty of Bioengineering, University Politehnica of Bucharest, 060042 Bucharest, Romania

Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, Romania

Department of Applied Mathematics, Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, Romania

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