Free Access
Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 5, 2017
Mathematical models in physiology
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Page(s) | 180 - 195 | |
DOI | https://doi.org/10.1051/mmnp/201712511 | |
Published online | 13 October 2017 |
- M. Benson, R. Gaskin, C. Moffatt, V. Peach, M. Mitchell, C. Faull. P-86 developing and implementing a community care pathway for the management of chronic oedema. BMJ Supportive & Palliative Care, 6 (Suppl 1):A41–A41, 2016 [EDP Sciences] [Google Scholar]
- T. DiSipio, S. Rye, B. Newman, S. Hayes. Incidence of unilateral arm lymphedema after breast cancer: a systematic review and meta-analysis Lancet Oncology, vol. 14, no. 6 (2013), 500-15. [CrossRef] [Google Scholar]
- M.B. Tobin, H.J. Lacey, L. Meyer et al. The psychological morbidity of breast cancer-related arm swelling. Psychological morbidity of lymphedema. Cancer., 72 (1993), 3248-52. [Google Scholar]
- P.A. Morgan, P.J. Franks, C.J. Moffatt. Health-related quality of life with lymphedema: a review of the literature. International wound journal., 2 (2005), 47–625. [CrossRef] [PubMed] [Google Scholar]
- P.S. Mortimer, Managing lymphoedema, Clinical and experimental dermatology, 20 (1995), 98-106. [Google Scholar]
- N.B. Piller, R.G. Morgan, J.R. Casley-Smith. A double-blind, cross-over trial of O-(beta-hydroxyethyl)-rutosides (benzo-pyrones) in the treatment of lymphoedema of the arms and legs. British journal of plastic surgery; 41 (1988), 20-7. [Google Scholar]
- The diagnosis and treatment of peripheral lymphedema: Consensus Document of the International Society of Lymphology. Lymphology, 46 (2013), 1-11. [Google Scholar]
- H. Partsch, N. Stout, I. Forner-Cordero et al. Clinical trials needed to evaluate compression therapy in breast cancer related lymphedema (BCRL). Proposals from an expert group. Int Angiol., 29 (2010), 442-53. [Google Scholar]
- I. Quere, E. Presles, M. Coupe et al. Prospective multicentre observational study of lymphedema therapy: POLIT study. Journal des maladies vasculaires, 39 (2014), 256-63. [Google Scholar]
- C.J. Moffatt, P.J. Franks, D. Hardy et al. A preliminary randomized controlled study to determine the application frequency of a new lymphoedema bandaging system. The British journal of dermatology, 166 (2012), 624-32. [Google Scholar]
- K.N. Margaris, R.A. Black. Modelling the lymphatic system: challenges and opportunities. Published online before print 11 January 2012, J. R. Soc., Interface doi: 10.1098/rsif.2011.0751. [Google Scholar]
- N.P. Reddy. A discrete model of the lymphatic system. PhD thesis, Texas A&M University, TX, 1974. [Google Scholar]
- A.J. Macdonald, K.P. Arkill, G.R. Tabor, N.G. McHale, C.P. Winlove. Modeling flow in collecting lymphatic vessels: one–dimensional flow through a series of contractile elements. Am. J. Physiol. Heart Circ. Physiol.; 295, H305–H313. (doi:10.1152/ajpheart.00004.2008). [CrossRef] [PubMed] [Google Scholar]
- N.P. Reddy, T.A. Krouskop, P.H. Newell. Computer–model of lymphatic–system. Comput. Biol. Med., 7 (1977), 181–197. (doi:10.1016/0010-4825(77)900) [CrossRef] [PubMed] [Google Scholar]
- C.D. Bertram, C. Macaskill, J.E. Moore. Simulation of a chain of collapsible contracting lymphangions with progressive valve closure. J. Biomech. Eng. Trans., ASME 133, 011008, 2011 (doi:10.1115/1.4002799). [CrossRef] [PubMed] [Google Scholar]
- C.M. Quick, A.M. Venugopal, R.M. Dongaonkar, G.A. Laine, R.H. Stewart. First-order approximation for the pressure–flow relationship of spontaneously contracting lymphangions. Am. J. Physiol. Heart Circ. Physiol., 294, H2144–H2149, 2008. (doi:10.1152/ajpheart.00781.2007) [CrossRef] [PubMed] [Google Scholar]
- A.M. Venugopal, R.H. Stewart, G.A. Laine, R.M. Dongaonkar, C.M. Quick. Lymphangion coordination minimally affects mean flow in lymphatic vessels. Am. J. Physiol. Heart Circ. Physiol., 293, H1183–H1189, 2007. (doi:10.1152/ajpheart.01340.2006) [CrossRef] [PubMed] [Google Scholar]
- R.E. Drake, S.J. Allen, J. Katz, J.C. Gabel, G.A. Laine. Equivalent–circuit technique for lymph–flow studies. Am. J. Physiol., 251 (1986), 1090–1094. [Google Scholar]
- E. Rahbar, J.E.J. Moore. A model of a radially expanding and contracting lymphangion. J. Biomech., 21 (2011), 118–123. [Google Scholar]
- S.C. Cowin. Bone poroelasticity. Journal of Biomechanics, 32 (1999), 217–238. [CrossRef] [PubMed] [Google Scholar]
- E. Vicaut. Mécanismes des échanges d'eau : équations de Starling. Am. Fr. Anesth. Réanim., 15 (1996), 428–435 [in french]. [CrossRef] [Google Scholar]
- D.O. Bates, J.R. Levick, P.S. Mortimer. Starling pressures in the human arm and their alteration in postmastectomy oedema. Journal of Physiology, vol. 477, issue 2 (1994), 355–363. [CrossRef] [Google Scholar]
- D. Ambrosi. Infiltration through Deformable Porous Media. Math. Mech., ZAMM Z. Angew. Math. Mech., vol. 82, no. 2 (2002), 115–124. [CrossRef] [MathSciNet] [Google Scholar]
- K. Yadchi, S. Srivastava, S. Luding. On the validity of the Carman–Kozeny equation in random fibrous media II International Conference on Particle-based Methods– Fundamentals and Applications. PARTICLES, E. Oñate and D.R.J. Owen (Eds), 2011. [Google Scholar]
- J.I. Siddique, F.A. Landis, M.R. Mohyuddin. Dynamics of Drainage of Power-Law Liquid into a Deformable Porous Material. Open Journal of Fluid Dynamics, 4 (2014), 403-414. [CrossRef] [Google Scholar]
- E. Detournay, AH-D. Cheng. Fundamentals of poroelasticity, Chapter 5 in Comprehensive Rock Engineering: Principles, Practice and Projects. Vol. II, Analysis and Design Method, ed. C. Fairhurst, Pergamon Press, 113–171, 1993. [CrossRef] [EDP Sciences] [Google Scholar]
- J.R. Rice. Elasticy of fluid-infiltrated porous solids. revised list of references. August 2001 and April 2004) For use in Engineering Science 265, Advanced environmental geomechanics, 1998. [Google Scholar]
- H.F. Wang. Theory of linear poroelasticity. Princeton, NJ: Princeton Univ. Press, 2000. [Google Scholar]
- R.C. Nolen-Hoeksema. Modulus-porosity relations, Gassmann's equations, and the low-frequency elastic-wave response to fluids. Geophysics, vol. 65, no. 5 (2000) 1355–1363. [CrossRef] [Google Scholar]
- K. Wilmanski. A few remarks on Biot's model and linear acoustics of poroelastic saturated materials. http://www.mech-wilmanski.de, University of Zielona Gora (Poland) [Google Scholar]
- J.C. Wang. Young's modulus of porous materials. Journal of Materials Science, vol. 19, Issue 3 (1984), 801–808. [Google Scholar]
- Medifocus guidebook on : Lymphedema. 2012 Medifocus.com, Inc. Guide OC 030. [Google Scholar]
- J.A. DeLisa, B.M. Gans, N.E. Walsh. Physical Medicine and Rehabilitation: Principles and Practice, Volume 1, Lippincott Williams & Wilkins, 2005. [Google Scholar]
- S.G. Rockson. Acquired Lymphedema: Abnormal Fluid Clearance Engenders Tissue Remodeling. Lymphat Res Biol., vol. 12, no. 1(2014), 1-1. doi:10.1089/lrb.2014.1211. [Google Scholar]
- J.M. Rutkowski, C.E. Markhus, C.C. Gyenge, K. Alitalo, H. Wiig, M.A. Swartz. Dermal Collagen and Lipid Deposition Correlate with Tissue Swelling and Hydraulic Conductivity in Murine Primary Lymphedema. The American Journal of Pathology, vol. 176, no. 3 (2010), 1122-9. [Google Scholar]
- G. Mosti, H. Partsch. Compression stockings with a negative pressure gradient have a more pronounced effect on venous pumping function than graduated elastic compression stockings. European Journal of Vascular and Endovascular Surgery, vol. 42, no. 2 (2011), 261–266. [CrossRef] [Google Scholar]
- F. Hecht. New development in FreeFem++, J. Numer. Math., vol. 20, no. 3-4 (2012), 251–265. [CrossRef] [MathSciNet] [Google Scholar]
- W.L. Olszewski, P. Jain, G. Ambujam, M. Zaleska, M. Cakala, T. Gradalski. Tissue Fluid Pressure and Flow during Pneumatic Compression in Lymphedema of Lower Limbs. Lymphatic research and biology, vol. 9, no. 2, 2011. [Google Scholar]
- S. Modi, A.W.B. Stanton, W.E. Svensson, A.M. Peters, P.S. Mortimer, J.R. Levick. Human lymphatic pumping measured in healthy and lymphoedematous arms by lymphatic congestion lymphoscintigraphy. J. Physiol. vol. 583, no. 1 (2007), 271–285. [CrossRef] [PubMed] [Google Scholar]
- W.L. Olszewski. The “third” circulation in human limbs tissue fluid, lymph and lymphatics. www.phlebologieonline.de on 2015-06-26 – IP: 134.214.22.18. Phlebologie, vol. 41, no. 6 (2012), 283-338, 297–303. [Google Scholar]
- WCC. Lee, M. Zhang. Using computational simulation to aid in the prediction of socket fit : A preliminary study. Medical Engineering and Physics, vol. 29, no. 8, (2007), 923–929. [CrossRef] [Google Scholar]
- A. Zhang, X.Q. Dai, Y. Li, JT-M. Cheung. Computational simulation of skin and sock pressure distributions. Studies in Computational Intelligence, 55 (2007), 323–333. [EDP Sciences] [Google Scholar]
- X. Dai, R. Liu, Y. Li, M. Zhang, Y. Kwok. Numerical simulation of skin pressure distribution applied by graduated compression stockings. Studies in Computational Intelligence, 55 (2007), 301–309. [Google Scholar]
- M.A. Swartz, A. Kaipainen, P.A. Netti, C. Brekken, Y. Boucher, A.J. Grodzinsky, R.K. Jain. Mechanics of interstitial-lymphatic fluid transport: theoretical foundation and experimental validation. Journal of Biomechanics, 32 (1999), 1297–1307. [CrossRef] [PubMed] [Google Scholar]
- K. Protz, K. Heyer, M. Dörler, M. Stücker, C. Hampel-Kalthoff, M. Augustin. Compression therapy: scientifc background and practical applications. JDDG: Journal der Deutschen Dermatologischen Gesellschaft, vol. 12, no. 9 (2014), 794–801. [Google Scholar]
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