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.

Open Access

Structural changes of a radially symmetric thermocapillary flow in the shallow cavity partially covered by a solid film

Math. Model. Nat. Phenom., Forthcoming article
Received: 22 December 2021 / Revised: 18 April 2022 / Accepted: 16 May 2022
DOI: https://doi.org/10.1051/mmnp/2022019
Open Access

Mathematical modelling of proton migration in Earth mantle

Math. Model. Nat. Phenom., Forthcoming article
Received: 14 February 2022 / Revised: 28 April 2022 / Accepted: 12 May 2022
DOI: https://doi.org/10.1051/mmnp/2022018
Open Access

Immuno-epidemiological model-based prediction of further COVID-19 epidemic outbreaks due to immunity waning

Math. Model. Nat. Phenom., Forthcoming article
Received: 30 March 2022 / Revised: 10 April 2022 / Accepted: 15 April 2022
DOI: https://doi.org/10.1051/mmnp/2022017
Open Access

A MULTIPLE TIMESCALE NETWORK MODEL OF INTRACELLULAR CALCIUM CONCENTRATIONS IN COUPLED NEURONS: INSIGHTS FROM ROM SIMULATIONS.

Math. Model. Nat. Phenom., Forthcoming article
Received: 11 November 2021 / Revised: 11 April 2022 / Accepted: 11 April 2022
DOI: https://doi.org/10.1051/mmnp/2022016
Open Access

Efficient Uncertainty Quantification and Variance-Based Sensitivity Analysis in Epidemic Modelling using Polynomial Chaos

Math. Model. Nat. Phenom., Forthcoming article
Received: 13 August 2021 / Revised: 25 February 2022 / Accepted: 10 April 2022
DOI: https://doi.org/10.1051/mmnp/2022014
Open Access

Study of architectural forms of invasive carcinoma based on the measurement of pattern complexity

Math. Model. Nat. Phenom., Forthcoming article
Received: 14 November 2021 / Revised: 16 March 2022 / Accepted: 06 April 2022
DOI: https://doi.org/10.1051/mmnp/2022013
Open Access

Optimal Control Strategy to Control Pandemic COVID-19 Using MSI_LI_HR_V Model

Math. Model. Nat. Phenom., Forthcoming article
Received: 04 August 2021 / Revised: 28 February 2022 / Accepted: 04 April 2022
DOI: https://doi.org/10.1051/mmnp/2022015
Open Access

A mathematical justification for metronomic chemotherapy in oncology

Math. Model. Nat. Phenom., Forthcoming article
Received: 14 October 2021 / Revised: 07 March 2022 / Accepted: 24 March 2022
DOI: https://doi.org/10.1051/mmnp/2022010
Open Access

Mathematical Modeling of Aphron Drilling nanofluid Driven by Electroosmotically Modulated Peristalsis Through a Pipe

Math. Model. Nat. Phenom., Forthcoming article
Received: 08 September 2021 / Revised: 25 February 2022 / Accepted: 23 March 2022
DOI: https://doi.org/10.1051/mmnp/2022012
Open Access

Protein pattern formation induced by the joint effect of noise and delay in a multi-cellular system

Math. Model. Nat. Phenom., Forthcoming article
Received: 07 November 2021 / Revised: 04 March 2022 / Accepted: 21 March 2022
DOI: https://doi.org/10.1051/mmnp/2022011
Open Access

Concentration and cavitation in the vanishing pressure limit of solutions to a 3 × 3 generalized Chaplygin gas equations

Math. Model. Nat. Phenom., Forthcoming article
Received: 25 October 2021 / Revised: 09 February 2022 / Accepted: 02 March 2022
DOI: https://doi.org/10.1051/mmnp/2022009
Open Access

Steady state non-Newtonian ow with strain rate dependent viscosity in thin tube structure with no slip boundary condition 12

Math. Model. Nat. Phenom., Forthcoming article
Received: 22 October 2021 / Accepted: 24 January 2022
DOI: https://doi.org/10.1051/mmnp/2022005