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Information × Registration Number 0209U001678, 0108U004382 , R & D reports Title Mathematical modelling and numerical simulation of diffusion in confined micro- and nanoscale systems. The conformal mapping approach. popup.stage_title Head Oleinick Alexander Igorevich, Registration Date 24-02-2009 Organization Kharkov national university of radioelectronics popup.description2 In this work the mathematical modelling and investigation of the diffusion-reaction processes which occur in three different physico-chemical systems were carried out: 1) The mass transport processes inside mesoporous spherical nanoparticles were investigated. The mathematical models of the diffusion mass transport inside a single nanotube complicated by the adsorbtion of a species at the tube walls were formulated. The analysis of the numerical results allows foreseeing and rationalising exeperimental data. The obtained results were compared to new experimental data related to the mercury ions extraction from the solution. 2) The mathematical modelling of physico-chemical processes which lead to functional hyperemia was performed. A new functional view of the neuron activity function which contains information about the bursts of nitric oxide at the neuron surface was proposed. The parameters of this new activity function were obtained for different sets of experimental data. Decomposition of the obtained neuron activity function allows statistical analysis of the neuron bursts before, during and after its stimulation. 3) The diffusion processes at arrays of recessed disc microelectrodes were investigated. The numerical approach based on a quasi-conformal mapping was proposed. This approach unifies the computation process for any geometrical dimensions of the system. The limiting cases behaviours are in good agreement with the obtained numerical results. Product Description popup.authors popup.nrat_date 2020-04-02 Close