Mathematical Modelling of Different Types of Body Support Surface for Pressure Ulcer Prevention

Authors: Mahbub C. Mishu, Venketesh N. Dubey, Tamas Hickish, Jonathan Cole

Abstract:

Pressure ulcer is a common problem for today’s healthcare industry. It occurs due to external load applied to the skin. Also when the subject is immobile for a longer period of time and there is continuous load applied to a particular area of human body, blood flow gets reduced and as a result pressure ulcer develops. Body support surface has a significant role in preventing ulceration so it is important to know the characteristics of support surface under loading conditions. In this paper we have presented mathematical models of different types of viscoelastic materials and also we have shown the validation of our simulation results with experiments.

Keywords: Pressure ulcer, viscoelastic material, mathematical model, experimental validation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1092455

References:

[1] G. Bennett, C. Dealey, and J. Posnett, "The cost of pressure ulcers in the uk,” Age and ageing, vol. 33, no. 3, pp. 230–235, 2004.
[2] C. Hsia, K. Liou, A. Aung, V. Foo, W. Huang, and J. Biswas, "Analysis and comparison of sleeping posture classification methods using pressure sensitive bed system,” in Engineering in Medicine and Biology Society, 2009. EMBC 2009. Annual International Conference of the IEEE. IEEE, 2009, pp. 6131–6134.
[3] A. Manohar and D. Bhatia, "Pressure detection and wireless interface for patient bed,” in Biomedical Circuits and Systems Conference, 2008. BioCAS 2008. IEEE. IEEE, 2008, pp. 389–392.
[4] L. R. Solis, A. Liggins, R. R. Uwiera, N. Poppe, E. Pehowich, P. Seres, R. B. Thompson, and V. K. Mushahwar, "Distribution of internal pressure around bony prominences: implications to deep tissue injury and effectiveness of intermittent electrical stimulation,” Annals of biomedical engineering, vol. 40, no. 8, pp. 1740–1759, 2012.
[5] N. Graves, F. Birrell, and M. Whitby, "Effect of pressure ulcers on length of hospital stay,” Infection Control and Hospital Epidemiology, vol. 26, no. 3, pp. 293–297, 2005.
[6] C. V. Bouten, C. W. Oomens, F. P. Baaijens, and D. L. Bader, "The etiology of pressure ulcers: skin deep or muscle bound?” Archives of physical medicine and rehabilitation, vol. 84, no. 4, pp. 616–619, 2003.
[7] R. K. Daniel, D. L. Priest, and D. C. Wheatley, "Etiologic factors in pressure sores: an experimental model.” Archives of physical medicine and rehabilitation, vol. 62, no. 10, pp. 492–498, 1981.
[8] S. Saha, M. B. Smith, A. Totten, R. Fu, N. Wasson, B. Rahman, M. Motuapuaka, D. H. Hickam et al., "Pressure ulcer treatment strategies: Comparative effectiveness,” 2013.
[9] Online, http://www.spinal-injury.net/pressure-sore-stages-sci.htm, accessed on 13.03.2014.
[10] D. Roylance, "Engineering viscoelasticity,” Department of Materials Science and Engineering–Massachusetts Institute of Technology, Cambridge MA, vol. 2139, pp. 1–37, 2001.
[11] O. Weckner and N. A. Nik Mohamed, "Viscoelastic material models in peridynamics,” Applied Mathematics and Computation, vol. 219, no. 11, pp. 6039–6043, 2013.
[12] R. M. Christensen and L. Freund, "Theory of viscoelasticity,” 1971.
[13] L. Lundell, "Estimation of material functions using system identification techniques,” 2012.
[14] L. Hillstr¨om, M. Mossberg, and B. Lundberg, "Identification of complex modulus from measured strains on an axially impacted bar using least squares,” Journal of Sound and Vibration, vol. 230, no. 3, pp. 689–707, 2000.
[15] E. Zhang, J.-d. Chazot, J. Antoni et al., "Parametric identification of elastic modulus of polymeric material in laminated glasses,” in System Identification, vol. 16, no. 1, 2012, pp. 422–427.
[16] S. Choi, S. W. Cha, and B. H. Oh, "Identification of viscoelastic behavior for early-age concrete based on measured strain and stress histories,” Materials and structures, vol. 43, no. 8, pp. 1161–1175, 2010.