A Small Parameter Method for the Chemotaxis Problem

The paper proposes an iterative method for constructing an approximate analytical solution for the chemotaxis problem in a spatially constrained one-dimensional system. Within the proposed approach, an approximate analytical solution is obtained, sufficient conditions for its applicability are identified, and the approximate and numerical solutions are compared.

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Publication Details

Journal
Ukrainian Journal of Physics
Published
2026-10-29
DOI
https://doi.org/10.15407/ujpe71.11.861
Primary Topic
Mathematical Biology Tumor Growth
Type
article
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article

A Small Parameter Method for the Chemotaxis Problem

O.M. Vasyliev
Ukrainian Journal of Physics
Mathematical Biology Tumor Growth
article

A Small Parameter Method for the Chemotaxis Problem

O.M. Vasyliev
article en

Abstract

The paper proposes an iterative method for constructing an approximate analytical solution for the chemotaxis problem in a spatially constrained one-dimensional system. Within the proposed approach, an approximate analytical solution is obtained, sufficient conditions for its applicability are identified, and the approximate and numerical solutions are compared.

Ukrainian Journal of PhysicsVol. 71(11)
Taras Shevchenko National University of Kyiv (UA)
Openalex Percentile: Top 13%
Mathematical Biology Tumor Growth
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A Small Parameter Method for the Chemotaxis Problem — O.M. Vasyliev · Ukrainian Journal of Physics (2026) | TGRS Research Map | TGRS