The main objective of the journal MathematicS in Action is to promote the interactions of Mathematics with other scientific fields (Biology, Medicine, Economics, Computer Science, Physics, Chemistry, Mechanics,  Environmental sciences, Engineering sciences, etc.) by publishing articles at their interfaces. These articles must be useful and globally accessible to both communities. Thus, the journal favours articles written by ay least two authors, one of them being a mathematician, the other one belonging to another scientific community.  

The papers should address modelling issues (conception, analysis and validation of models),  numerical and/or  experimental methods.

They should preferably include both a mathematical part and, at choice, numerical or experimental results.
They should be very pedagogical on the motivations and the expected impact in both disciplines.

Each submitted paper will be evaluated equally for its mathematical quality and for its interest  to the concerned application field. To be accepted a paper needs to be of the highest scientific quality, original, and strongly interdisciplinary.

The Journal is an electronic publication and all articles are freely available. However, each year a printed version is sent to a selection of libraries.

News - The journal MathS in Action calls for papers in the field of « High Performance Computing and Mathematics with industrial applications »

This journal, previously hosted by Cedram, is now web-published by the Centre Mersenne.
In 2019, Cedram has become the
Centre Mersenne for open scientific publishing, a publishing platform for scientific journals developed by Mathdoc.

Latest articles

Modeling actin-myosin interaction: beyond the Huxley–Hill framework

Contractile force in muscle tissue is produced by myosin molecular motors that bind and pull on specific sites located on surrounding actin filaments. The classical framework to model this active system was set by the landmark works of A.F. Huxley and T.L. Hill. This framework is built on the central assumption that the relevant quantity for the model parametrization is the myosin head reference position. In this paper, we present an alternative formulation that allows to take into account the current position of the myosin head as the main model parameter.

The actin-myosin system is described as a Markov process combining Langevin drift-diffusion and Poisson jumps dynamics. We show that the corresponding system of Stochastic Differential Equation is well-posed and derive its Partial Differential Equation analog in order to obtain the thermodynamic balance laws. We finally show that by applying standard elimination procedures, a modified version of the original Huxley–Hill framework can be obtained as a reduced version of our model. Theoretical results are supported by numerical simulations where the model outputs are compared to benchmark experimental data.

Available online:

Stability analysis of a bacterial growth model through computer algebra

We describe microbial growth and production of value-added chemical compounds in a continuous bioreactor through a dynamical system and we study the local stability of the equilibrium of interest by means of the classical Routh–Hurwitz criterion. The mathematical model considers various biological and structural parameters related to the bioprocess (concentration of substrate inflow, constants of the microchemical reactions, steady-state mass fractions of intracellular proteins, etc.) and thus, the stability condition is given in terms of these parameters. This boils down to deciding the consistency of a system of polynomial inequalities over the reals, which is challenging to solve from an analytical perspective, and out of reach even for traditional computational software designed to solve such problems. We show how to adapt classical techniques for solving polynomial systems to cope with this problem within a few minutes by leveraging its structural properties, thus completing the stability analysis of our model. The paper is accompanied by a Maple worksheet available online.

Available online: