The Chemotaxis Sensitivity Function for a System with a Spherical Geometry


  • O.M. Vasyliev Taras Shevchenko National University of Kyiv
  • A.O. Slobodianiuk Taras Shevchenko National University of Kyiv



chemotaxis, bacteria, attractant, concentration, distribution


The problem of determining the chemotaxis sensitivity function, which is used to characterize the heterogeneity of a distribution of bacteria in the system with an attractant, has been solved for a system with spherical geometry. In the presence of an attractant, bacteria are distributed according to the attractant distribution in the system. At the same time, the important role is played by the system geometry, boundary conditions, the attractant injection regime, and the control over the number of bacteria in the system. In particular, a system, where bacteria are distributed over the surface of a sphere, is considered. The attractant concentration in the system is controlled by its fixation at the sphere’s poles using a thin capillary. The number of bacteria in the system is considered constant. For such a system, an analytic expression for the chemotaxis sensitivity function is obtained. The obtained results can be useful when predicting the behavior of bacteria in real systems with a complicated geometry and when processing experimental data.


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How to Cite

Vasyliev, O., & Slobodianiuk, A. (2023). The Chemotaxis Sensitivity Function for a System with a Spherical Geometry. Ukrainian Journal of Physics, 68(7), 456.



Physics of liquids and liquid systems, biophysics and medical physics