Send more data: a systematic review of mathematical models of antimicrobial resistance

AC Birkegård, T Halasa, N Toft, A Folkesson… - … Resistance & Infection …, 2018 - Springer
Background Antimicrobial resistance is a global health problem that demands all possible
means to control it. Mathematical modelling is a valuable tool for understanding the …

Mathematical modelling to study the horizontal transfer of antimicrobial resistance genes in bacteria: current state of the field and recommendations

QJ Leclerc, JA Lindsay… - Journal of the royal …, 2019 - royalsocietypublishing.org
Antimicrobial resistance (AMR) is one of the greatest public health challenges we are
currently facing. To develop effective interventions against this, it is essential to understand …

[HTML][HTML] Mathematical modelling of community acquired antibiotic resistant infections

J Mushanyu - Informatics in Medicine Unlocked, 2024 - Elsevier
Antibiotic usage in hospitals is considered the major driver of the emergence of antibiotic
resistance where selection of multiply resistant strains is most common. However, massive …

[HTML][HTML] Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance

MG Roberts, S Burgess, LJ Toombs-Ruane… - Mathematical …, 2021 - Elsevier
Antibiotics are used extensively to control infections in humans and animals, usually by
injection or a course of oral tablets. There are several methods by which bacteria can …

[HTML][HTML] Stability and periodic solutions for a model of bacterial resistance to antibiotics caused by mutations and plasmids

E Ibargüen-Mondragón, JP Romero-Leiton… - Applied mathematical …, 2019 - Elsevier
Bacterial resistance is one of the most prominent public health problems affecting the entire
world population. Although some infectious diseases are no longer a problem as they were …

Mathematical models of drug-resistant tuberculosis lack bacterial heterogeneity: A systematic review

NM Fuller, CF McQuaid, MJ Harker… - Plos …, 2024 - journals.plos.org
Drug-resistant tuberculosis (DR-TB) threatens progress in the control of TB. Mathematical
models are increasingly being used to guide public health decisions on managing both …

[PDF][PDF] An optimal control problem applied to malaria disease in Colombia

JP Romero-Leiton, JM Montoya-Aguilar… - Applied mathematical …, 2018 - researchgate.net
In Colombia, malaria is a public health problem that affects a large part of its population.
Above motivated us to formulate an optimal control problem considering the following …

Mathematical model for the growth of Mycobacterium tuberculosis in the granuloma

E Ibargüen-Mondragón, L Esteva… - Mathematical …, 2018 - aimsciences.org
In this work we formulate a model for the population dynamics of Mycobacterium
tuberculosis (Mtb), the causative agent of tuberculosis (TB). Our main interest is to assess …

[PDF][PDF] A stability test for non linear systems of ordinary differential equations based on the gershgorin circles

D Bejarano, E Ibargüen-Mondragón… - Contemporary …, 2018 - m-hikari.com
Abstract The Gershgorin Circles Theorem (GCT) is a very useful tool to characterize the
regions of the complex plane in which the eigenvalues of a matrix are found. Within the …

A model on bacterial resistance considering a generalized law of mass action for plasmid replication

E Ibargüen-Mondragón, K Prieto… - Journal of Biological …, 2021 - World Scientific
Bacterial plasmids play a fundamental role in antibiotic resistance. However, a lack of
knowledge about their biology is an obstacle in fully understanding the mechanisms and …