A Mathematical Model of Donor Kidney Cooling in Hypothermic Non-Perfusion Preservation
Since the number of patients in need of transplantation is growing, there is much concern about retrieval, temporary preservation and subsequent implantation of various donor organs. Improper cooling of donor organs is likely to result in their injury and subsequent rejection at transplantation. To date, detailed investigation has been carried out only in relation to heat transfer process in cooling of thin renal tissue samples.
The aim of the study was to develop a mathematical model of donor kidney cooling and to compare the results obtained by using it to the experimental findings.
Materials and Methods. The mathematical model of donor kidney cooling has been developed. A mobile experimental installation was created to compare calculation results obtained using the model to the experimental data.
Results. The developed model adequately describes the process of kidney cooling. The obtained values of porosity coefficient ξ=0.00248 and thermal conductivity coefficient λ=0.55 W/(m·K) can be used in the development of new cooling methods. The found discrepancy between the experimental and calculated results can be attributed to insufficient regard for kidney structure details in the model and influence of these details on the system of cooling liquid flow.
- Yarlagadda S.G., Klein C.L., Jani A. Long-term renal outcomes after delayed graft function. Adv Chronic Kidney Dis 2008; 15(3): 248–256, https://doi.org/10.1053/j.ackd.2008.04.005.
- Callaghan C.J., Harper S.J., Saeb-Parsy K., Hudson A., Gibbs P., Watson C.J., Praseedom R.K., Butler A.J., Pettigrew G.J., Bradley J.A. The discard of deceased donor kidneys in the UK. Clin Transplant 2014; 28(3): 345–353, https://doi.org/10.1111/ctr.12319.
- Likhvantsev V.V., Moroz V.V., Grebenchikov O.A., Gorokhovatsky Yu.I., Zarzhetsky Yu.V., Timoshin S.S., Levikov D.I., Shaibakova V.L. Ischemic and pharmacological preconditioning. Obshchaya reanimatologiya 2011; 7(6): 59–65.
- Shumakov V.I., Shtengol’d E.Sh., Onishchenko N.A. Konservatsiya organov [Organ preservation]. Pod red. Petrovskogo B.V. [Petrovskiy B.V. (editor)]. Moscow: Meditsina; 1975.
- Khubutia M.Sh., Zhuravel S.V., Romanov A.A., Goncharova I.I., Pinchuk A.V. Early assessment of kidney allotransplantat function by microdialysis in perioperative period. Transplantologiya 2014; 1: 20–23.
- Hosgood S.A., Barlow A.D., Dormer J., Nicholson M.L. The use of ex-vivo normothermic perfusion for the resuscitation and assessment of human kidneys discarded because of inadequate in situ perfusion. J Transl Med 2015; 13(1): 329, https://doi.org/10.1186/s12967-015-0691-x.
- Karangwa S.A., Dutkowski P., Fontes P., Friend P.J., Guarrera J.V., Markmann J.F., Mergental H., Minor T., Quintini C., Selzner M., Uygun K., Watson C.J., Porte R.J. Machine perfusion of donor livers for transplantation: a proposal for standardized nomenclature and reporting guidelines. Am J Transplant 2016; 16(10): 2932–2942, https://doi.org/10.1111/ajt.13843.
- Gok M.A., Bhatti A.A., Asher J., Gupta A., Shenton B.K., Robertson H., Soomro N.A., Talbot D. The effect of inadequate in situ perfusion in the non heart-beating donor. Transpl Int 2005; 18(10): 1142–1146, https://doi.org/10.1111/j.1432-2277.2005.00164.x.
- Mergental H., Perera M.T., Laing R.W., Muiesan P., Isaac J.R., Smith A., Stephenson B.T., Cilliers H., Neil D.A., Hübscher S.G., Afford S.C., Mirza D.F. Transplantation of declined liver allografts following normothermic ex-situ evaluation. Am J Transplant 2016; 16(11): 3235–3245, https://doi.org/10.1111/ajt.13875.
- Davenport A. The brain and the kidney — organ cross talk and interactions. Blood Purif 2008; 26(6): 526–536, https://doi.org/10.1159/000167800.
- Pashinyan G.A., Nazarov G.N. Biofizicheskie metody issledovaniya v sudebnoy meditsine [Biophysical research methods in forensic medicine]. Izhevsk: Ekspertiza; 1999.
- Berezovskiy V.A., Kolotilov N.N. Biofizicheskie kharakteristiki tkaney cheloveka [Biophysical characteristics of human tissues]. Kiev: Naukova dumka; 1990.
- Kulikov V.А., Syakterev V.N. System of biological tissue thermal conductivity measuring. Vestnik IzhGTU 2012; 4(56): 116–118.
- CHAM / Products, 2013. URL: www.cham.co.uk.
