Mathematical Modelling of Natural Phenomena

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Forthcoming articles

Mathematical Modelling of Natural Phenomena gives online access to unedited preprint version of accepted papers, ahead of publication. This online version does not take into account corrections made during production process.

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In silico phase-field modeling of cell directed migration towards environments of lower or higher adhesion

Lucas Curci, Valentine Seveau de Noray, Olivier Theodoly, Marie-Pierre Valignat, Florence Hubert and Julien Olivier

Math. Model. Nat. Phenom., Forthcoming article

Received: 03 August 2024 / Revised: 23 October 2025 / Accepted: 24 October 2025

DOI: https://doi.org/10.1051/mmnp/2025028

PDF (3.356 MB)

An extension of Sellke construction and uncertainty quantification for non-Markovian epidemic models

HENRI MERMOZ KOUYE and CLÉMENTINE PRIEUR

Math. Model. Nat. Phenom., Forthcoming article

Received: 06 November 2024 / Revised: 01 September 2025 / Accepted: 23 September 2025

DOI: https://doi.org/10.1051/mmnp/2025027

PDF (2.182 MB)

New patterns of the light intensity distribution localized near the interface between the crystal with a hyperbolic index profile layer and the crystal with the nonlinearity emergence with an increasing light intensity

Sergey Savotchenko

Math. Model. Nat. Phenom., Forthcoming article

Received: 23 November 2024 / Revised: 26 August 2025 / Accepted: 04 September 2025

DOI: https://doi.org/10.1051/mmnp/2025026

PDF (335.2 KB)

Self-foldability of Dürer Net Models of Viral Capsids: Exploring Nanocapsule Design via 4D Printing

John R Jungck, Donald Plante, Stephen Brittain, Joseph Yarbrough and Caitlyn Zeller

Math. Model. Nat. Phenom., Forthcoming article

Received: 15 May 2024 / Revised: 21 July 2025 / Accepted: 27 August 2025

DOI: https://doi.org/10.1051/mmnp/2025024

PDF (2.225 MB)

Unraveling the Hemodynamic Impact of Persistent Iliac Vein Lesions and Physical Therapy Post-Stenting

Zhenmin Fan, Jian Lu, Robert Guidoin, Xiaoyan Deng, Xia Ye and Zhixiang Zhang

Math. Model. Nat. Phenom., Forthcoming article

Received: 10 October 2024 / Revised: 25 February 2025 / Accepted: 31 March 2025

DOI: https://doi.org/10.1051/mmnp/2025013

PDF (655.1 KB)

Impact of temperature change on the population dynamics of the maize pest Busseola fusca

J.P. Ntahomvukiye, Kolaye Gabriel Guilsou, Samuel Bowong and J. Kurths

Math. Model. Nat. Phenom., Forthcoming article

Received: 21 August 2022 / Revised: 22 November 2024 / Accepted: 09 January 2025

DOI: https://doi.org/10.1051/mmnp/2025003

PDF (1.521 MB)

Data – driven neuronal dynamics: Model identification and spiking analysis

Yicheng Mao and Xianbin Liu

Math. Model. Nat. Phenom., Forthcoming article

Received: 23 April 2024 / Revised: 05 June 2024 / Accepted: 24 June 2024

DOI: https://doi.org/10.1051/mmnp/2024014

PDF (1.716 MB)

COMBINED HORMONE AND BRACHY THERAPIES FOR THE TREATMENT OF PROSTATE CANCER

Salma Chabbar, Abderrahmane Habbal, Rajae Aboulaich, Nabil Ismaili and Sanaa El Majjaoui

Math. Model. Nat. Phenom., Forthcoming article

Received: 02 August 2022 / Revised: 05 June 2023 / Accepted: 08 November 2023

DOI: https://doi.org/10.1051/mmnp/2023038

PDF (1.691 MB)

TRAVELING WAVES IN HEMODYNAMIC EQUATIONS WITH THE KOITER SHELL

Sergey Vasyutkin and Alexander Chupakhin

Math. Model. Nat. Phenom., Forthcoming article

Received: 01 September 2022 / Revised: 14 July 2023 / Accepted: 15 September 2023

DOI: https://doi.org/10.1051/mmnp/2023032

PDF (1.676 MB)