A Mathematical Model for Escherichia coli Chemotaxis to Competing Stimuli

2021 ◽  
Author(s):  
Scott A. Middlebrooks ◽  
Xueying Zhao ◽  
Roseanne M. Ford ◽  
Peter T. Cummings
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Competing Stimuli

Kinetic mathematical model for ketone bioconversion using Escherichia coli TOP10 pQR239

2014 ◽  
Vol 240 ◽  
pp. 1-9 ◽  
Author(s):  
R. Melgarejo-Torres ◽  
O. Castillo-Araiza ◽  
P. López-Ordaz ◽  
D. Torres-Martínez ◽  
M. Gutiérrez-Rojas ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model

scholarly journals Molecular circuits for associative learning in single-celled organisms

2008 ◽  
Vol 6 (34) ◽  
pp. 463-469 ◽  
Author(s):  
Chrisantha T Fernando ◽  
Anthony M.L Liekens ◽  
Lewis E.H Bingle ◽  
Christian Beck ◽  
Thorsten Lenser ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Associative Learning ◽  
Experimental Evidence ◽  
Protein Kinases ◽  
Regulatory Network ◽  
Preliminary Design ◽  
Phosphorylated Protein ◽  
Alternative Approach ◽  
Gene Regulatory

We demonstrate how a single-celled organism could undertake associative learning. Although to date only one previous study has found experimental evidence for such learning, there is no reason in principle why it should not occur. We propose a gene regulatory network that is capable of associative learning between any pre-specified set of chemical signals, in a Hebbian manner, within a single cell. A mathematical model is developed, and simulations show a clear learned response. A preliminary design for implementing this model using plasmids within Escherichia coli is presented, along with an alternative approach, based on double-phosphorylated protein kinases.

scholarly journals Insights into mucosal innate responses to Escherichia coli O157 : H7 colonization of cattle by mathematical modelling of excretion dynamics

2011 ◽  
Vol 9 (68) ◽  
pp. 518-527 ◽  
Author(s):  
Michael J. Tildesley ◽  
David L. Gally ◽  
Tom N. McNeilly ◽  
J. Chris Low ◽  
Arvind Mahajan ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Model Comparison ◽  
Innate Immune ◽  
Host Responses ◽  
Post Inoculation ◽  
Model Based ◽  
Complex Interactions ◽  
Bacterial Replication

Mathematical model-based statistical inference applied to within-host dynamics of infectious diseases can help dissect complex interactions between hosts and microbes. This work has applied advances in model-based inference to understand colonization of cattle by enterohaemorrhagic Escherichia coli O157 : H7 at the terminal rectum. A mathematical model was developed based on niche replication and transition rates at this site. A nested-model comparison, applied to excretion curves from 25 calves, was used to reduce complexity while maintaining integrity. We conclude that, 5–9 days post inoculation, the innate immune response negates bacterial replication on the epithelium and either reduces attachment to or increases detachment from the epithelium of the terminal rectum. Thus, we provide a broadly applicable model that gives novel insights into bacterial replication rates in vivo and the timing and impact of host responses.

scholarly journals Phenotypic Tolerance: Antibiotic Enrichment of Noninherited Resistance in Bacterial Populations

2005 ◽  
Vol 49 (4) ◽  
pp. 1483-1494 ◽  
Author(s):  
C. Wiuff ◽  
R. M. Zappala ◽  
R. R. Regoes ◽  
K. N. Garner ◽  
F. Baquero ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Mathematical Models ◽  
Antibiotic Treatment ◽  
A Priori ◽  
The Other ◽  
Bacterial Populations ◽  
Microbiological Outcome

ABSTRACT When growing bacteria are exposed to bactericidal concentrations of antibiotics, the sensitivity of the bacteria to the antibiotic commonly decreases with time, and substantial fractions of the bacteria survive. Using Escherichia coli CAB1 and antibiotics of five different classes (ampicillin, ciprofloxacin, rifampin, streptomycin, and tetracycline), we examine the details of this phenomenon and, with the aid of mathematical models, develop and explore the properties and predictions of three hypotheses that can account for this phenomenon: (i) antibiotic decay, (ii) inherited resistance, and (iii) phenotypic tolerance. Our experiments cause us to reject the first two hypotheses and provide evidence that this phenomenon can be accounted for by the antibiotic-mediated enrichment of subpopulations physiologically tolerant to but genetically susceptible to these antibiotics, phenotypic tolerance. We demonstrate that tolerant subpopulations generated by exposure to one concentration of an antibiotic are also tolerant to higher concentrations of the same antibiotic and can be tolerant to antibiotics of the other four types. Using a mathematical model, we explore the effects of phenotypic tolerance to the microbiological outcome of antibiotic treatment and demonstrate, a priori, that it can have a profound effect on the rate of clearance of the bacteria and under some conditions can prevent clearance that would be achieved in the absence of tolerance.

scholarly journals Heterogeneous Absorption of Antimicrobial Peptide LL37 inEscherichia coliCells Enhances Population Survivability

2018 ◽  
Author(s):  
Mehdi Snoussi ◽  
John Paul Talledo ◽  
Nathan-Alexander Del Rosario ◽  
Bae-Yeun Ha ◽  
Andrej Košmrlj ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Minimum Inhibitory Concentration ◽  
Cell Density ◽  
Inhibitory Concentration ◽  
Single Cell Level ◽  
Cell Level ◽  
E Coli ◽  
Rapid Absorption ◽  
Growing Population

AbstractAntimicrobial peptides (AMPs) are broad spectrum antibiotics that selectively target bacteria. Here we investigate the activity of human AMP LL37 againstEscherichia coliby integrating quantitative, population and single-cell level experiments with theoretical modeling. Our data indicate an unexpected, rapid absorption and retention of a large number of LL37 byE. colicells upon the inhibition of their growth, which increases the chance of survival for the rest of population. Cultures with high-enough cell density exhibit two distinct subpopulations: a non-growing population that absorb peptides and a growing population that survive owing to the sequestration of the AMPs by others. A mathematical model based on this binary picture reproduces the rather surprising behaviors ofE. colicultures in the presence of LL37, including the increase of the minimum inhibitory concentration with cell density (even in dilute cultures) and the extensive lag in growth introduced by sub-lethal dosages of LL37.

scholarly journals Antithetic population response to antibiotics in a polybacterial community

2020 ◽  
Vol 6 (10) ◽  
pp. eaaz5108 ◽  
Author(s):  
L. Galera-Laporta ◽  
J. Garcia-Ojalvo
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Bacillus Subtilis ◽  
Bacterial Species ◽  
Single Species ◽  
Population Response ◽  
E Coli ◽  
Collective Response ◽  
Lactam Antibiotic ◽  
Mixed Community

Much is known about the effects of antibiotics on isolated bacterial species, but their influence on polybacterial communities is less understood. Here, we study the joint response of a mixed community of nonresistant Bacillus subtilis and Escherichia coli bacteria to moderate concentrations of the β-lactam antibiotic ampicillin. We show that when the two organisms coexist, their population response to the antibiotic is opposite to that in isolation: Whereas in monoculture B. subtilis is tolerant and E. coli is sensitive to ampicillin, in coculture it is E. coli who can proliferate in the presence of the antibiotic, while B. subtilis cannot. This antithetic behavior is predicted by a mathematical model constrained only by the responses of the two species in isolation. Our results thus show that the collective response of mixed bacterial ecosystems to antibiotics can run counter to what single-species potency studies tell us about their efficacy.

Mathematical model for positioning the FtsZ contractile ring in Escherichia coli

2013 ◽  
Vol 68 (4) ◽  
pp. 911-930 ◽  
Author(s):  
Zhigang Zhang ◽  
Jeffrey J. Morgan ◽  
Paul A. Lindahl
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Contractile Ring

A Mathematical Model for Transcriptional Interference by RNA Polymerase Traffic in Escherichia coli

2005 ◽  
Vol 346 (2) ◽  
pp. 399-409 ◽  
Author(s):  
Kim Sneppen ◽  
Ian B. Dodd ◽  
Keith E. Shearwin ◽  
Adam C. Palmer ◽  
Rachel A. Schubert ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Mathematical Model ◽  
Rna Polymerase ◽  
Transcriptional Interference

Validation of a mathematical model for predicting high pressure carbon dioxide inactivation kinetics of Escherichia coli spiked on fresh cut carrot

2014 ◽  
Vol 85 ◽  
pp. 17-23 ◽  
Author(s):  
Giovanna Ferrentino ◽  
Nicola Calliari ◽  
Alberto Bertucco ◽  
Sara Spilimbergo
Keyword(s):  
Escherichia Coli ◽  
Carbon Dioxide ◽  
Mathematical Model ◽  
High Pressure ◽  
Inactivation Kinetics ◽  
Fresh Cut ◽  
Kinetics Of
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