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We propose a model of antibiotic diffusion through a bacterial biofilm when diffusion and/or absorption barriers develop in the biofilm. The idea of this model is: We deduce details of the diffusion process in a medium in which direct…

Biological Physics · Physics 2020-09-23 Tadeusz Kosztołowicz , Ralf Metzler

Antibiotic resistance presents a growing global health threat by diminishing the effectiveness of treatments and allowing once-manageable bacterial infections to persist. This study develops and analyzes an optimization-based mathematical…

Populations and Evolution · Quantitative Biology 2025-09-23 Uzzwal Kumar Mallick , Jobayer Ahmed , Khan Anik Islam , Pulak Kundu

Quantifying the action of antibiotics on biofilms is essential to devise therapies against chronic infections. Biofilms are bacterial communities attached to moist surfaces, sheltered from external aggressions by a polymeric matrix.…

Biological Physics · Physics 2017-05-30 Bjorn Birnir , Ana Carpio , Elena Cebrian , Perfecto Vidal

We propose a computational framework to study the growth and spread of bacterial biofilms on interfaces, as well as the action of antibiotics on them. Bacterial membranes are represented by boundaries immersed in a fluid matrix and subject…

Cell Behavior · Quantitative Biology 2022-01-11 Ana Carpio , Rafael Gonzalez-Albaladejo

The tolerance of bacterial populations to biocidal or antibiotic treatment has been well documented in both biofilm and planktonic settings. However, there is still very little known about the mechanisms that produce this tolerance.…

Populations and Evolution · Quantitative Biology 2008-07-15 Patrick De Leenheer , Nick Cogan

Bacteria develop resistance to antibiotics through various mechanisms, with the specific mechanism depending on the drug-bacteria pair. It remains unclear, however, which resistance mechanism best supports favorable treatment outcomes,…

Populations and Evolution · Quantitative Biology 2025-11-06 Ailin Zhang , Shigui Ruan , Xi Huo

Understanding how antibiotics inhibit bacteria can help to reduce antibiotic use and hence avoid antimicrobial resistance - yet few theoretical models exist for bacterial growth inhibition by a clinically relevant antibiotic treatment…

Cell Behavior · Quantitative Biology 2017-12-06 Philip Greulich , Jakub Dolezal , Matthew Scott , Martin R. Evans , Rosalind J. Allen

The large reservoir of antibiotic resistant bacteria in raw and treated water supplies is a matter of public health concern. Currently, the National Antimicrobial Resistance Monitoring Systems, a collaborative effort of the Centers for…

Populations and Evolution · Quantitative Biology 2010-07-09 Bonita Lawrence , Anna Mummert , Charles Somerville

The aim of this paper is to study two models for a bacterial population subject to antibiotic treatments. It is known that some bacteria are sensitive to antibiotics. These bacteria are in a state called persistence and each bacterium can…

Probability · Mathematics 2013-04-15 Fabio Zucca

Antimicrobial protocols - using substances such as antibiotics or disinfectants - remain the preferred option for preventing the spread of pathogenic bacteria. However, bacteria can develop mechanisms to reduce their antimicrobial…

Populations and Evolution · Quantitative Biology 2026-02-17 Nerea Martínez-López , Niclas Nordholt , Frank Schreiber , Míriam R. García

Biofilm infections on medical implants are difficult to eradicate because insufficient nutrient availability promotes antibiotic-tolerant persister cells that survive treatment and reseed growth. Existing mathematical models usually omit…

Populations and Evolution · Quantitative Biology 2025-09-23 Parna Mandal , Nigel J. Mottram , Sean McGinty

Humans, domestic animals, orchard crops, and ornamental plants are commonly treated with antibiotics in response to bacterial infection. By curing infectious individuals, antibiotic therapy might limit the spread of contagious disease among…

Populations and Evolution · Quantitative Biology 2020-11-04 Thomas Caraco

Many bacterial species readily develop biofilms that act as a protective matrix against external challenge, e.g. from antimicrobial treatment. Therefore, biofilms are often responsible for persistent and recurring infections. Established…

Humans, domestic animals, orchard crops, and ornamental plants are commonly treated with antibiotics in response to bacterial infection. By curing infectious individuals, antibiotic therapy might limit the spread of contagious disease among…

Populations and Evolution · Quantitative Biology 2020-01-22 Thomas Caraco

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

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

We propose a mathematical model of Antimicrobial Resistance in the host to predict the failure of two antagonists of bacterial growth: the immune response and a single-antibiotic therapy. After characterising the initial bacterial load that…

Populations and Evolution · Quantitative Biology 2026-01-08 Alejandro Anderson , Rami Katz , Francesca Calà Campana , Giulia Giordano

The evolution and emergence of antibiotic resistance is a major public health concern. The understanding of the within-host microbial dynamics combining mutational processes, horizontal gene transfer and resource consumption, is one of the…

Populations and Evolution · Quantitative Biology 2020-03-09 Ramsès Djidjou-Demasse , Samuel Alizon , Mircea T. Sofonea

Biofilms are complex structures which are inhabited by numerous amount of different species of microorganisms. Due to their ubiquity, they influence human life on an everyday basis. It is therefore important to understand the interactions…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Felix Klempt , Hendrik Geisler , Meisam Soleimani , Philipp Junker

Antimicrobial resistance (AMR) poses a significant threat to public health by increasing mortality, extending hospital stays, and increasing healthcare costs. It affects people of all ages and affects health services, veterinary medicine,…

Dynamical Systems · Mathematics 2023-06-12 Alissen Peterson , Jhoana P. Romero-Leiton , Pablo Aguirre , Kamal R. Acharya , Bouchra Nasri
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