A Categorical Model of Cellular Differentiation and Reprogramming

Remzi Yunus Emre Doğan; Ebru Ceren Fidan; Koray Yılmaz

doi:10.54187/jnrs.1708086

EN

A Categorical Model of Cellular Differentiation and Reprogramming

Abstract

This study proposes a new way of understanding cell transformations by using category theory to build a formal structure called the category of cells (denoted as CELL). Rather than treating cellular processes in isolation, the framework organizes cells and their transformations within a unified mathematical setting. The study examines fundamental categorical properties of CELL such as the existence of initial and terminal objects and its connectedness to better understand structural relationships between different cell types. To elucidate cellular hierarchies and potential transformation processes, biologically relevant subcategories are investigated, such as terminally differentiated cells and differentiated somatic cells. The structure represents intricate biological processes including cell differentiation, cellular reprogramming, and oncogenesis using categorical tools like slice categories and arrow categories.

Keywords

Category theory, biological systems, cell

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Details

Primary Language

English

Subjects

Category Theory, K Theory, Homological Algebra, Biological Mathematics

Journal Section

Research Article

Authors

Remzi Yunus Emre Doğan
0009-0005-3864-1633
Türkiye

Ebru Ceren Fidan
0000-0002-6121-4585
Türkiye

Koray Yılmaz ^*
0000-0002-8641-0603
Türkiye

Publication Date

April 30, 2026

Submission Date

May 28, 2025

Acceptance Date

April 29, 2026

Published in Issue

Year 2026 Volume: 15 Number: 1

DOI

https://doi.org/10.54187/jnrs.1708086

IZ

https://izlik.org/JA33WA89AB

APA

Doğan, R. Y. E., Fidan, E. C., & Yılmaz, K. (2026). A Categorical Model of Cellular Differentiation and Reprogramming. Journal of New Results in Science, 15(1), 1-14. https://doi.org/10.54187/jnrs.1708086

AMA

1.Doğan RYE, Fidan EC, Yılmaz K. A Categorical Model of Cellular Differentiation and Reprogramming. JNRS. 2026;15(1):1-14. doi:10.54187/jnrs.1708086

Chicago

Doğan, Remzi Yunus Emre, Ebru Ceren Fidan, and Koray Yılmaz. 2026. “A Categorical Model of Cellular Differentiation and Reprogramming”. Journal of New Results in Science 15 (1): 1-14. https://doi.org/10.54187/jnrs.1708086.

EndNote

Doğan RYE, Fidan EC, Yılmaz K (April 1, 2026) A Categorical Model of Cellular Differentiation and Reprogramming. Journal of New Results in Science 15 1 1–14.

IEEE

[1]R. Y. E. Doğan, E. C. Fidan, and K. Yılmaz, “A Categorical Model of Cellular Differentiation and Reprogramming”, JNRS, vol. 15, no. 1, pp. 1–14, Apr. 2026, doi: 10.54187/jnrs.1708086.

ISNAD

Doğan, Remzi Yunus Emre - Fidan, Ebru Ceren - Yılmaz, Koray. “A Categorical Model of Cellular Differentiation and Reprogramming”. Journal of New Results in Science 15/1 (April 1, 2026): 1-14. https://doi.org/10.54187/jnrs.1708086.

JAMA

1.Doğan RYE, Fidan EC, Yılmaz K. A Categorical Model of Cellular Differentiation and Reprogramming. JNRS. 2026;15:1–14.

MLA

Doğan, Remzi Yunus Emre, et al. “A Categorical Model of Cellular Differentiation and Reprogramming”. Journal of New Results in Science, vol. 15, no. 1, Apr. 2026, pp. 1-14, doi:10.54187/jnrs.1708086.

Vancouver

1.Remzi Yunus Emre Doğan, Ebru Ceren Fidan, Koray Yılmaz. A Categorical Model of Cellular Differentiation and Reprogramming. JNRS. 2026 Apr. 1;15(1):1-14. doi:10.54187/jnrs.1708086