Mathematic model of exhaled breath condensate forming

Klimanov IA (1)*, Soodaeva SK (1,2), Popova NA (1,2)
1. Pulmonology Research Institute, Moscow, Russian Fedеration
2. Moscow Institute of Physics and Technology (National Research University), Moscow, Russian Fedеration 

*Presenting author

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The aim of the study was to create a mathematic model of exhaled breath condensate (EBC) forming and to determinate factors affective on concentration of hypothetic non-shifting substance in EBC in the frame of the model. Materials. Non-shifting, chemically inert component of bronchial epithelium liquid presented in the species with the concentration X was considered. The estimation of liquid concentration change during the condensation process of exhaled air in condenser was performed. The following points was postulated for the development of the model: - exhaled breath is an aerodisperse system;- dispersed particles are the sources of non-shifting substances in EBC;- there are no any condensation processes on dispersed particles which are presented in the quantity n in one breathe;- the concentration of condensed particles in EBC approaches zero value;- only water vapors are condensed from the gas phase of exhaled air in propagation of the air through the condenser whereas aerosol particles are coupled and diluted in the generated liquid;all aerosol particles are included into EBC and exhaled air vapors are condensed in the condenser. Results. For the calculation of non-shifting substance concentration in bronchial epithelium liquid for mathematic model of exhaled breath condensate forming are found a formula (1): Conclusion.The formula (1) can be used in clinical practice for the standardization of investigation EBC methods.Formula (1) X=(XJm*VlEBC)/(∑ (1-J)(∑(1-N) VJk)) Х - the concentration of the substance of interest in the fluid lining the respiratory tract. XMj- measured concentration of a substance for j-th exhalations. VlEBC - total volume EBC for j exhalations ∑ (1-J) - sum of j-th exhalations ∑ (1-N) - sum of n-th respiratory particles VJk  - volume of k-th dispersion aerosol particle




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