Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P505
Sathisha A B, Ashwini M Rao, Basavarajappa K S, Katiyar V K, "Mathematical Model on the Function of Kidney in Reference to a Peristaltic Moment," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 43-50, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P505
[1]. David c. Weber, B.S. Yukihiko Nose [1968], ‘Experimental tests of a fiber-reinforced cellophane membrane for hemodialysis’. Cleveland Clinic Quarterly, Vol. 35. PP.57-64.
[2]. G. Radhakrishnamacharya. Peeyush Chandra and M. R. Kaimal [1981], ‘A Hydrodynamical Study of the Flow in Renal Tubules’. Bulletin of Mathematical Biology, Vol. 43, No. 2, pp. 151-163.
[3]. Carlas Enrich and Carl G. Gahmberg [1985], ‘ Pre-Replicative Changes of the Rat Sinusoidal Plasma Membrane Glycoproteins during hepatic Regeneration’. Federation of European Biochemical Societies, Vol. 181, No. 1, pp. 12-16.
[4]. Ruth Osterby, Hans-HenrikParving, Eva Hommel, Hans E. Jorgensen, and Hans Lokkegaard [1990], ‘Glomerular Structure and Function in Diabetic Nephropathy’. Diabetes, Vol. 39, pp 1057-1063.
[5]. Aurelie Edwards, Barbara S. Daniels, and William M. Deen [1997], ‘Hindered Transport of Macromolecules in Isolated Glomeruli. I. Convection and Pressure Effects in Basement Membrane’. Biophysical Journal, Vol. 72, pp. 214-222.
[6]. Helena LaggerBiner, Marie-Pierre Arpin-Bott, Johannes Loffing, Xiaoyan Wang, MarkKnepper, Steve C. Hebert, And Brigitte Kaissling [2002], ‘Human Cortical Distal Nephron: Distribution of Electrolyte and Water Transport Pathways’. J Am SocNephrol 13: 836–847.
[7]. Matthew J. Lazzara and William M. Deen [2006], ‘Model of albumin reabsorption in the proximal tubule’. Am J Physiol Renal Physiol292: F430–F439.
[8]. Anita T. Layton [2012], ‘Modeling Transport and Flow Regulatory Mechanisms of the Kidney’. ISRN Biomathematics, Volume 2012, pp. 1-18.
[9]. S. Brown, J. Elliott, T. Francey, D. Polzin, and S. Vaden [2013], ‘Consensus Recommendations for Standard Therapy of Glomerular Disease in Dogs’, J Vet Intern Med 2013;27:S27–S43.
[10]. BenjamasWichapoon, ChuchardPunsawad, Urai Chaisri1 and ParnpenViriyavejakul [2014], ‘Glomerular changes and alterations of zonula occludens-1 in the kidneys of Plasmodium falciparum malaria patients’. Malaria Journal 2014, 13:176.
[11]. Ioannis Sgouralis, Roger G. Evans, Anita T. Layton [2017], ‘Renal medullary and urinary oxygen tension during cardiopulmonary bypass in the rat’. Mathematical Medicine and Biology, Vol.34, 313–333.
[12]. Adel Almarashi, MetibAlghamdi&IdirMechai [2019], ‘A new mathematical model for diagnosing chronicdiseases (kidney failure) using ANN’. Cogent Mathematics & Statistics, ISSN: (Print), pp. 2574-2558.
[13]. Marta Marulli, Aurelie Edwards, VukMilisic, and Nicolas Vauchelet [2020], ‘On the rolef the epithelium in a model of sodium exchange in renal tubules’. math.AP, arXiv:2001.07400v1, pp. 1-23.