Network Modeling of Murine Lymphatic System

Author:

Grebennikov Dmitry123ORCID,Savinkov Rostislav123ORCID,Zelenova Ekaterina4,Lobov Gennady5ORCID,Bocharov Gennady123ORCID

Affiliation:

1. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333 Moscow, Russia

2. Moscow Center for Fundamental and Applied Mathematics at INM RAS, 119333 Moscow, Russia

3. Institute of Computer Science and Mathematical Modelling, Sechenov First Moscow State Medical University, 119991 Moscow, Russia

4. Moscow Institute of Physics and Technology, National Research University, 141701 Dolgoprudny, Russia

5. Pavlov Institute of Physiology, Russian Academy of Sciences, 119034 Saint-Petersburg, Russia

Abstract

Animal models of diseases, particularly mice, are considered to be the cornerstone for translational research in immunology. The aim of the present study is to model the geometry and analyze the network structure of the murine lymphatic system (LS). The algorithm for building the graph model of the LS makes use of anatomical data. To identify the edge directions of the graph model, a mass balance approach to lymph dynamics based on the Hagen–Poiseuille equation is applied. It is the first study in which a geometric model of the murine LS has been developed and characterized in terms of its structural organization and the lymph transfer function. Our study meets the demand for quantitative mechanistic approaches in the growing field of immunoengineering to utilize or exploit the lymphatic system for immunotherapy.

Funder

Russian Science Foundation

Russian Foundation for Basic Research

Moscow Center for Fundamental and Applied Mathematics

Publisher

MDPI AG

Subject

Computational Mathematics,Computational Theory and Mathematics,Numerical Analysis,Theoretical Computer Science

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