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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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A NEW CLASS OF HIGH-DIMENSIONAL PARTIALLY LINEAR VARYING COEFFICIENT MODEL AND ITS APPLICATIONS

Jie Zhou, Aifen Feng, Jiaxin Fu, Zhengfen Jin and Mengmeng Zhao
Math. Model. Nat. Phenom., Forthcoming article
Received: 04 April 2025 / Revised: 27 December 2025 / Accepted: 31 December 2025
DOI: https://doi.org/10.1051/mmnp/2026001

Mathematical modelling of the contribution of senescent fibroblasts to basement membrane digestion during carcinoma invasion

Luis Almeida, Alexandre Poulain, Albin Pourtier and Chiara Villa
Math. Model. Nat. Phenom., Forthcoming article
Received: 15 October 2025 / Revised: 18 December 2025 / Accepted: 23 December 2025
DOI: https://doi.org/10.1051/mmnp/2026002

A CONSERVATIVE TWO-PHASE FLOW MODEL WITH A NONLINEAR DEGENERATE DIFFUSION

Gloria Faccanoni, Cédric Galusinski and Bérénice Grec
Math. Model. Nat. Phenom., Forthcoming article
Received: 04 April 2025 / Revised: 10 October 2025 / Accepted: 15 November 2025
DOI: https://doi.org/10.1051/mmnp/2025031

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

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

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

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

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

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

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

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