Компартментальное моделирование транспортных процессов в корне растения, учитывающее присутствие пограничных слоев

Российский журнал биомеханики. 2013. Т. 17. № 4. С. 37–46.

Logvenkov S. A., Штейн А. А.

Basing on the information about the structure of the solution and asymptotic estimates in the problem of steady flow across the root, a system of algebraic relations similar to the commonly used compartment models is obtained. As compared with these, the method proposed has an important advantage making it possible to take into account the characteristic features of the anatomical structure of the root and the non-uniformity of the parameter distribution over its cross-section. This enables us to formulate simple finite relationships fitting with sufficient accuracy with the numerical solution obtained within the framework of the continuum model. The application of the approach proposed to solving specific problems is simpler than both the numerical solution based on the continuum model and the solution obtained by asymptotic methods.

Keywords: multiphase media, transport processes, многофазные среды, транспортные процессы, water absorption by plants, root plants, cellular systems, cell membranes, compartmental models, поглощение воды растениями, корень растения, клеточные системы, клеточные мембраны, компартментальные модели