Math. Model. Nat. Phenom.
Volume 12, Number 5, 2017Mathematical models in physiology
|Page(s)||180 - 195|
|Published online||13 October 2017|
A 2D Computational Model of Lymphedema and of its Management with Compression Device
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, France
2 INRIA Team Dracula, INRIA Antenne Lyon la Doua, Villeurbanne, France
3 Institute of numerical mathematics, Russian Academy of Sciences, Moscow, Russian Federation
4 Université Montpellier I, CHU Saint Eloi, Montpellier, France
5 CHU Lyon, Service de Pharmacologie Clinique et Essais Thérapeutiques, Lyon, France
6 Hospices Civils de Lyon, Centre d'Investigation Clinique, INSERM CIC 1407, Lyon, France
7 CHU Lyon, Service de Pharmacologie Clinique et Essais Thérapeutiques, Lyon, France
The purpose of this study is to model a lymphedema following a mastectomy and its management (compression therapy). During surgery for breast cancer, an axillary node dissection can be done and cause damages to the lymphatic system leading to a secondary lymphedema located in upper limb. Limb lymphedema is an incurable disease associated with chronic and progressive limb swelling condition. The main clinical consequence of lymphedema is the limb edema, clinically resulting in pain, discomfort, strength reduction and musculoskeletal complications due to limb excessive heaviness. Some devices for lymphedema (e.g. bandaging and garments) could be more personalized, taking into account both characteristics of compressions and patients. Before the evaluation of these therapeutic strategies in humans, an ``in silico'' approach could be used to investigate the interest of gradual or intermittent compression testing in virtual patients. For that purpose, we developed a simplified model of the lymph flow through the lymphatic system in a whole upper limb including the corresponding interstitial fluid exchanges.
Mathematics Subject Classification: 35Q30 / 35Q35 / 35Q68
Key words: lymphedema / mathematical modeling / compressive device
© EDP Sciences, 2017
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