Skip to main content
Log in

Mathematical study of diffusive fluid transport and distribution in human dermal regions

  • Published:
Analysis in Theory and Applications

Abstract

This paper deals with mathematical study of diffusive fluid transport and distribution in human dermal parts. It accounts the intracellular fluid which continuously flows through the skin shells in order to maintain fluid balance within the body. A mathematical model is envisaged for this process and the finite element method (FEM) is employed to calculate the concentration of the fluid at different skin layers. This estimation is analyzed in relation with other parameters of the tissue medium and the atmosphere.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bob, Murray, Hydration and Physical Performance, Journal of the American College of Nutrition, 26(2007), 542–548.

    Google Scholar 

  2. Chao, K. N., Eisely, J. C. and Yang, W. J., Heat and Water Migration in Regional Skin and Subcutaneous Tissues, Bio-Medical Sym. ASME, (1973), 69–72.

  3. Crank, J. The Mathematics of Diffusion, Oxford University Press, Ely House, London, (1970), 1–20.

    MATH  Google Scholar 

  4. Guyton A.C., Medical Physiology, W.B. Saunders, Philadelphia, 10th edition pp, (2000), 904–984.

    Google Scholar 

  5. Khanday M. A. and Saxena, V. P., Finite Element Estimation of One Dimensional Unsteady State Heat Regulation in Human Head Exposed to Cold Environment, Journal of Biological Systems, World Scientific Publishing Company, Singapore. Vol., 17:4 (2009), 853–863.

    Google Scholar 

  6. Khanday, M. A. and Saxena, V. P., Finite Element Approach for the Study of Thermoregulation in Human Head Exposed to Cold Environment, Proceedings of American Institute of Physics, 1146(2009), 375–385.

    Google Scholar 

  7. Myer, G. E., Analytic Methods in Conduction Heat Transfer, McGraw Hill Com., (1971), 320–428.

  8. Perl, W., Heat and Water Migration in Body Tissues and Determination of Tissue Blood Flow by Local Clearance Methods, J. Theo Bio, 2(1962), 201–235.

    Article  Google Scholar 

  9. Ruch, T. C. and Patton, H. D., Physiology and Biophysics, W.B. Saunders, 2(1976), 325–415.

    Google Scholar 

  10. Saxena, V.P. and Arya, D., Steady State Heat Distribution in Epidermis, Dermis and Subdermal Tissue, J. Theo. Biology, 89(1981), 423–432.

    Article  Google Scholar 

  11. Stuhr, L. E. B. et al. Fluid Pressure in Human Dermal Fibroblast Aggregates Measured with Micropipettes, Am J Physiol, 10(2003), 1–32.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. A. Khanday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khanday, M.A., Saxena, V.P. Mathematical study of diffusive fluid transport and distribution in human dermal regions. Anal. Theory Appl. 26, 350–358 (2010). https://doi.org/10.1007/s10496-010-0350-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10496-010-0350-2

Key words

AMS (2010) subject classification

Navigation