Math. Model. Nat. Phenom.
Volume 13, Number 5, 2018
Mathematical Modelling of Physiological Flows
|Number of page(s)||14|
|Published online||06 September 2018|
Modelling lymph flow in the lymphatic system: from 0D to 1D spatial resolution
Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences,
Gubkina Street 8,
Moscow, Russian Federation.
2 Lomonosov Moscow State University, Moscow, Russian Federation.
3 Pavlov Institute of Physiology, Russian Academy of Sciences, St. Petersburg, Russian Federation.
4 Ural Federal University, Ekaterinburg, Russian Federation.
* Corresponding author: firstname.lastname@example.org
Accepted: 3 June 2018
In this study, we formulated a core mathematical model for describing the one-dimensional lymph flow in lymphatic vessels and branching network of lymphatic vessels. The 1D model was numerically implemented using the 1D haemodynamic modeling tools developed in T.M. Gamilov et al. and S. Simakov et al. [T.M. Gamilov et al., Transl. Med. 6 (2013) 5–13 and S. Simakov et al., Russian J. Numer. Anal. Math. Model. 28 (2013) 485–504]. The formulated model was calibrated using published data on lymph flow dynamics and other modelling studies of lymph flows. The comparison of 0D and 1D formulations of the lymph flow models is presented.
Mathematics Subject Classification: 35Q53 / 34B20 / 35G31
Key words: Lymphatic system / lymphodynamics / mathematical model / 1D lymph flow
© EDP Sciences, 2018
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