INVERSE BOUNDARY VALUE PROBLEMS FOR THE DISTRIBUTION OF MAGNETIC MODIFIED MICROORGANISMS IN A MAGNETIC FIELD
Modification of originally non-magnetic cells and microorganisms using magnetic nanoparticles is one of the promising trends in nanotechnology. Artificially created magnetic sensitive cells amenable to remote control, transport or targeted localization using a magnetic field. We propose a mathematical model describing the movement and distribution of the magnetically modified microorganisms in an external magnetic field. The work focuses on the solution of the inverse value problem in order to search coordinate, where velocity of magnetically modified microorganisms are treated to zero. Zero-speed contours are defined in the computational domain, in which cells are captured by the magnetic field. It is shown that the solution of the inverse problem under given magnetic induction, density of the medium, cell’s concentration, the size of nanoparticles and their magnetization depends on the size of matrix cells and on the number of nanoparticles attached to it and allows to determine the area to capture the magnetically modified cells.