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We present the stability analysis of two free boundary problems arising in biofilm modelling. The first, introduced in the 1980s by Wanner and Gujer, is related to the competition between autotrophic and heterotrophic bacteria in a biofilm…

Analysis of PDEs · Mathematics 2025-03-26 Dieudonné Zirhumanana Balike , Maria Rosaria Mattei , Luigi Frunzo

Microalgae are an important source of precursors (e.g. lipids) for a variety of biosynthetic processes (e.g. biofuel production). Their co-culturing with other organisms providing essential substrates for growth may reduce cost and provide…

Optimization and Control · Mathematics 2025-09-04 Rand Asswad , Jean-Luc Gouzé , Eugenio Cinquemani

A stochastic model is used to assess the effect of external parameters on the development of submerged biofilms on smooth and rough surfaces. The model includes basic cellular mechanisms, such as division and spreading, together with an…

Soft Condensed Matter · Physics 2024-01-17 David Rodriguez , Baldvin Einarsson , Ana Carpio

Cultivating oleaginous microalgae in specific culturing devices such as raceways is seen as a future way to produce biofuel. The complexity of this process coupling non linear biological activity to hydrodynamics makes the optimization…

Numerical Analysis · Mathematics 2012-09-05 Olivier Bernard , Anne-Celine Boulanger , Marie-Odile Bristeau , Jacques Sainte-Marie

Pb(Mg1/3Nb2/3)O3-PbTiO3 solid solution (PMN(1-x)-PTx) ceramics with 0 <x<1 have been prepared by homo-epitaxial templated grain growth (HTGG) using cubic PMN-PT single crystal seeds as templates and nanoparticles for thes ceramic matrix.…

Materials Science · Physics 2007-05-23 Mai Thi Pham , Gregory March , Philippe Colomban

Introduction: The search for life on distant exoplanets is expected to rely on atmospheric biosignatures detection, such as oxygen of biological origin. However, it is not demonstrated how much oxygenic photosynthesis, which on Earth…

NiO layers were grown on MgO(100), MgO(110), and MgO(111) substrates by plasma-assisted molecular beam epitaxy under Ni-flux limited growth conditions. Single crystalline growth with a cube-on-cube epitaxial relationship was confirmed by…

The formation of sandpiles is a subject if interest in the field of granular matter, but most experiments are unable to control the kinetic energy of the grains added to the apex of the growing pile. In this short article, we describe an…

Soft Condensed Matter · Physics 2015-12-15 Leonanro Dominguez-Rubio , Etien Martinez , Ernesto Altshuler

Growth patterns generated by filamentous organisms (e.g. actinomycetes and fungi) involve spatial and temporal dynamics at different length scales. Several mathematical models have been proposed in the last thirty years to address these…

Populations and Evolution · Quantitative Biology 2007-05-23 Michele Bezzi , Andrea Ciliberto

As part of a consortium between academic and industry, this PhD work investigates the interest and capabilities of organic photo-sensors (OPS) for the optical characterization of suspensions and two-phase flows. The principle of new optical…

Optics · Physics 2015-03-16 Matthias Sentis

In this article, we continue our mathematical study of organic solar cells (OSCs) and propose a two-scale (micro- and macro-scale) model of heterojunction OSCs with interface geometries characterized by an arbitrarily complex morphology.…

Numerical Analysis · Mathematics 2012-07-02 Carlo de Falco , Matteo Porro , Riccardo Sacco , Maurizio Verri

Kinetic modeling of microbial growth is essential for the design, optimization, and scale-up of industrial bioprocesses. Classical empirical models often lack biologically interpretable parameters or fail to capture complex multiphasic…

Quantitative Methods · Quantitative Biology 2026-04-10 Gustavo Mockaitis

In this work, we present a mathematical model of the initiation and progression of a low-grade urinary bladder carcinoma. We simulate the crucial processes involved in tumor growth, such as oxygen diffusion, carcinogen penetration, and…

Quantitative Methods · Quantitative Biology 2014-11-11 Svetlana Bunimovich-Mendrazitsky , Vladimir Pisarev , Eugene Kashdan

Ooids are typically spherical sediment grains characterised by concentric layers encapsulating a core. There is no universally accepted explanation for ooid genesis, though factors such as agitation, abiotic and/or microbial mineralisation…

Geophysics · Physics 2018-01-15 Murray T. Batchelor , Robert V. Burne , Bruce I. Henry , Fei Li , Josef Paul

A plant growth simulation can be characterized as a reconstructed visual representation of a plant or plant system. The phenotypic characteristics and plant structures are controlled by the scene environment and other contextual attributes.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Mohamed Debbagh , Yixue Liu , Zhouzhou Zheng , Xintong Jiang , Shangpeng Sun , Mark Lefsrud

Aggregation of ubiquitinated cargo by oligomers of the protein p62 is an important preparatory step in cellular autophagy. In this work a mathematical model for the dynamics of these heterogeneous aggregates in the form of a system of…

Statistical Mechanics · Physics 2020-04-20 Julia Delacour , Marie Doumic , Sascha Martens , Christian Schmeiser , Gabriele Zaffagnini

The phase separation mechanism of a binary liquid mixture off-critically quenched in its miscibility gap is nucleation and growth, its homogeneous phase reaching a metastable equilibrium state. The successive stages of growth of the…

Statistical Mechanics · Physics 2009-11-18 Jean Colombani , Jacques Bert

A mathematical model for emerging contaminants sorption in multispecies biofilms, based on a continuum approach and mass conservation principles is presented. Diffusion of contaminants within the biofilm is described using a…

Cell Behavior · Quantitative Biology 2017-06-15 Luigi Frunzo

The applicability of the so-called isotropic and anisotropic complete photonic-band-gap (CPBG) models [S. John and J. Wang, Phys. Rev. Lett. {\bf 64}, 2418 (1990)] to capture essential features of the spontaneous emission (SE) of a…

Quantum Physics · Physics 2007-05-23 Alexander Moroz

Generative models cover various application areas, including image, video and music synthesis, natural language processing, and molecular design, among many others. As digital generative models become larger, scalable inference in a fast…

Neural and Evolutionary Computing · Computer Science 2025-08-28 Shiqi Chen , Yuhang Li , Hanlong Chen , Aydogan Ozcan