# Analytical Approach for Calculating Chemotaxis Sensitivity Function

## TL;DR

This paper analyzes how attractant absorption affects the chemotaxis sensitivity function in a one-dimensional bacterial system, revealing the emergence of an additional maximum influenced by absorption intensity.

## Contribution

It introduces a modified Keller-Segel model accounting for attractant absorption and demonstrates its impact on the chemotaxis sensitivity function's shape.

## Key findings

- Absorbent attraction causes an extra maximum in the sensitivity function.
- The maximum's value depends on absorption intensity.
- Boundary conditions influence bacteria distribution patterns.

## 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.