Publication: Mathematical models for pressure controlled ventilation of oleic acid-injured pigs
No. of Pages/File Size
Mathematical Medicine and Biology. Vol.22, No.1 (2005), 99-112
Philip S. Crooke, K. Kongkul, Y. Lenbury, A. B. Adams, C. S. Carter, J. J. Marini, J. R. Hotchkiss (2005). Mathematical models for pressure controlled ventilation of oleic acid-injured pigs. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/16371.
Mathematical models for pressure controlled ventilation of oleic acid-injured pigs
One-compartment, mathematical models for pressure controlled ventilation, incorporating volume dependent compliances, linear and nonlinear resistances, are constructed and compared with data obtained from healthy and (oleic acid) lung-injured pigs. Experimental data are used to find parameters in the mathematical models and were collected in two forms. Firstly, the Pe-V curves for healthy and lung injured pigs were constructed; these data are used to compute compliance functions for each animal. Secondly, dynamic data from pressure controlled ventilation for a variety of applied pressures are used to estimate resistance parameters in the models. The models were then compared against the collected dynamic data. The best mathematical models are ones with compliance functions of the form C(V) = a + bV where a and b are constants obtained from the Pe-V curves and the resistive pressures during inspiration change from a linear relation Pr= RQ to a nonlinear relation Pr= RQεwhere Q is the flow into the one-compartment lung and ε is a positive number. The form of the resistance terms in the mathematical models indicate the possible presence of gas-liquid foams in the experimental data. © The Author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All Rights Reserved.