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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 74 Issue: 2

Delayed differential equations as a $\textit{Salmonella}$ biofilm model

Hale Elçin Latifi(ANKARA UNIVERSITY)0009-0007-4401-7997
İrem Özgökkurt Işıkdoğan(ANKARA UNIVERSITY)0009-0005-0273-7510
Kağan Özdemir(ANKARA UNIVERSITY)0009-0005-4958-9404
Nefise Akçelik(ANKARA UNIVERSITY)0000-0001-5541-1681
Nuri Ozalp(ANKARA UNIVERSITY)0000-0002-8028-3391
Mustafa Akçelik(ANKARA UNIVERSITY)0000-0002-1227-2324
Pages
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Publication Date
2025-06-19
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This model proved to be efficient for modeling $\textit{Salmonella}$ biofilm formation even without significant amount of data.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:$\textit{Salmonella}$ is a widespread bacterial pathogen that is the primary cause of many foodborne illnesses worldwide.
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Key Findings & Data:It gains significant strength against antibacterial treatments when it forms the biofilm structure, which can be considered a multicellular-like form where the pathogen is compartmentalized based on function in which each part communicates, further adding to the capabilities of resistance.
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Conclusion & Impact:This model proved to be efficient for modeling $\textit{Salmonella}$ biofilm formation even without significant amount of data.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:$\textit{Salmonella}$ · biofilm · mathematical modeling

Abstract

$\textit{Salmonella}$ is a widespread bacterial pathogen that is the primary cause of many foodborne illnesses worldwide. It gains significant strength against antibacterial treatments when it forms the biofilm structure, which can be considered a multicellular-like form where the pathogen is compartmentalized based on function in which each part communicates, further adding to the capabilities of resistance. To overcome this problem, it is important for practitioners to know how $\textit{Salmonella}$ biofilms will evolve through time under the presence of various carbon resources which are mostly present in food products. In this work, a mathematical model of $\textit{Salmonella}$ biofilm trajectories was made using Delayed Logistic Differential Equations after an experimental procedure which comprised treatments with seven carbon sources of six different concentrations. This model proved to be efficient for modeling $\textit{Salmonella}$ biofilm formation even without significant amount of data.

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Cite This Article

Latifi, H. E., Işıkdoğan, İ. Ö., Özdemir, K., Akçelik, N., Ozalp, N., Akçelik, M. (2025). Delayed differential equations as a $\textit{Salmonella}$ biofilm model. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 2. https://doi.org/10.31801/cfsuasmas.1532891

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