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The aim of this study is to compare the growth speed of different cell populations measured by their Malthus parameter. We focus on both the age-structured and size-structured equations. A first population (of reference) is composed of…

Probability · Mathematics 2017-03-02 Adélaïde Olivier

In the face of uncertain biological response to climate change and the many critiques concerning model complexity it is increasingly important to develop predictive mechanistic frameworks that capture the dominant features of ecological…

Populations and Evolution · Quantitative Biology 2015-06-05 Christopher P. Kempes , Sungho Choi , William Dooris , Geoffrey B. West

Bacteria often develop distinct phenotypes to adapt to environmental stress. In particular, they can produce biofilms, dense communities of bacteria that live in a complex extracellular matrix. Bacterial biofilms provide a safe haven from…

Quantitative Methods · Quantitative Biology 2025-08-29 Stephen Williams , Daravuth Cheam , Michele K. Nishiguchi , Suzanne S. Sindi , Shilpa Khatri , Erica M. Rutter

Previous likelihood-based linear modeling of nutritional data has been limited by the availability of software that allows flexible error structures in the data. We demonstrate the use of a Bayesian modeling approach to the analysis of such…

Statistics Theory · Mathematics 2007-06-13 Andrew Lawson , Daniela Nitcheva

For over two decades, Flux Balance Analysis (FBA) has been successfully used for predicting growth rates and intracellular reaction rates in microbiological metabolism. An aspect that is often omitted from this analysis, is segregation or…

Systems and Control · Electrical Eng. & Systems 2023-06-02 Michiel Busschaert , Florence H. Vermeire , Steffen Waldherr

While noise is generally associated with uncertainties and often has a negative connotation in engineering, living organisms have evolved to adapt to (and even exploit) such uncertainty to ensure the survival of a species or implement…

Molecular Networks · Quantitative Biology 2022-09-29 Corentin Briat , Mustafa Khammash

Bacterial communities such as biofilms are widely recognised as being important for survival and persistence of bacteria in harsh environments. Mechanistic models of biofilm growth indicate that the way in which the surface is seeded can…

Quantitative Methods · Quantitative Biology 2007-05-23 Leah R. Johnson

Microbial communities routinely have several possible species compositions or community states observed for the same environmental parameters. Changes in these parameters can trigger abrupt and persistent transitions (regime shifts) between…

Populations and Evolution · Quantitative Biology 2019-07-03 Veronika Dubinkina , Yulia Fridman , Parth Pratim Pandey , Sergei Maslov

Experimental and empirical observations on cell metabolism cannot be understood as a whole without their integration into a consistent systematic framework. However, the characterization of metabolic flux phenotypes is typically reduced to…

Molecular Networks · Quantitative Biology 2015-09-03 Oriol Güell , Francesco Alessandro Massucci , Francesc Font-Clos , Francesc Sagués , M. Ángeles Serrano

Cellular nutrient consumption is influenced by both the nutrient uptake kinetics of an individual cell and the cells' spatial arrangement. Large cell clusters or colonies have inhibited growth at the cluster's center due to the shielding of…

Biological Physics · Physics 2013-06-14 Maxim O. Lavrentovich , John H. Koschwanez , David R. Nelson

In order to obtain a good understanding of astrochemistry, it is crucial to better understand the key parameters that govern grain-surface chemistry. For many chemical networks, these crucial parameters are the binding energies of the…

Astrophysics of Galaxies · Physics 2023-06-12 Johannes Heyl , Serena Viti , Gijs Vermariën

Intracellular structural alterations are hallmark of several disease conditions and treatment modalities. However, robust methods to quantify these changes are scarce. In view of this, we introduce a new method to quantify structural…

The method of biomass estimation based on a volume-to-biomass relationship has been applied in estimating forest biomass conventionally through the mean volume (m3 ha-1). However, few studies have been reported concerning the verification…

The dynamics of microbial communities is incredibly complex, determined by competition for metabolic substrates and cross-feeding of byproducts. Species in the community grow by harvesting energy from chemical reactions that transform…

Populations and Evolution · Quantitative Biology 2022-03-22 Ashish B. George , Tong Wang , Sergei Maslov

In this paper, we analyse a model for the growth of three-dimensional walled cells. In this model the biomechanical expansion of the cell is coupled with the geometry of its wall. We consider that the density of building material depends on…

Analysis of PDEs · Mathematics 2015-02-20 Vincent Calvez , Laetitia Giraldi

Growth in bacterial populations generally depends on the environment (availability and quality of nutrients, presence of a toxic inhibitor, product inhibition..). Here, we build a model to describe the action of a bacteriostatic antibiotic,…

Biological Physics · Physics 2025-06-25 Barnabe Ledoux , David Lacoste

Microorganisms play critical roles in human health and disease. It is well known that microbes live in diverse communities in which they interact synergistically or antagonistically. Thus for estimating microbial associations with clinical…

Microbiota contribute to many dimensions of host phenotype, including disease. To link specific microbes to specific phenotypes, microbiome-wide association studies compare microbial abundances between two groups of samples. Abundance…

Applications · Statistics 2018-01-31 Rajita Menon , Vivek Ramanan , Kirill S. Korolev

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

Hypotheses: A quantitative molecular-thermodynamic theory of the growth of giant wormlike micelles of nonionic surfactants can be developed on the basis of a generalized model, which includes the classical 'phase separation' and 'mass…