Title: Analytical Approach for Calculating Chemotaxis Sensitivity Function,
Abstract: We consider the chemotaxis problem for a one-dimensional system. To analyze
the interaction of bacteria and attractant we use a modified Keller-Segel model
which accounts attractant absorption. To describe the system we use the
chemotaxis sensitivity function, which characterizes nonuniformity of bacteria
distribution. In particular, we investigate how the chemotaxis sensitivity
function depends on the concentration of attractant at the boundary of the
system. It is known that in the system without absorption the chemotaxis
sensitivity function has a bell shape maximum. Here we show that attractant
absorption and special boundary conditions for bacteria can cause the
appearance of an additional maximum in the chemotaxis sensitivity function. The
value of this maximum is determined by the intensity of absorption.