Correction to scaling for directed branched polymers (lattice animals)

1984 ◽  
Vol 54 (2) ◽  
pp. 169-174 ◽  
Author(s):  
N. Breuer
Keyword(s):  
Branched Polymers ◽  
Lattice Animals ◽  
Correction To Scaling

A CRITICAL STUDY FOR BRANCHED POLYMERS AND LATTICE ANIMALS: THERMAL AND PERCOLATIVE TRANSITIONS

1990 ◽  
Vol 04 (04) ◽  
pp. 267-276 ◽  
Author(s):  
P. D. GUJRATI
Keyword(s):  
Canonical Ensemble ◽  
Critical Dimension ◽  
Branched Polymers ◽  
Critical Study ◽  
Lattice Animals ◽  
Upper Critical Dimension ◽  
First Order ◽  
Physical Singularity ◽  
Dilute Limit ◽  
Grand Canonical

We investigate a field theory of a grand-canonical ensemble of branched polymers and lattice animals and show that the upper critical dimension for thermal phase transitions is du = 4. The transition in the dilute limit is first-order and there is no dimensional reduction. We suggest that the previous results in this limit correspond to a spinodal singularity and not to a physical singularity as the associated percolative transition is preempted by the first-order thermal transition.

Statistics of lattice animals and dilute branched polymers

1979 ◽  
Vol 20 (5) ◽  
pp. 2130-2146 ◽  
Author(s):  
T. C. Lubensky ◽  
Joel Isaacson
Keyword(s):  
Branched Polymers ◽  
Lattice Animals

Experimental structure factor of solutions of randomly branched polymers

1990 ◽  
Vol 51 (20) ◽  
pp. 2373-2385 ◽  
Author(s):  
F. Schosseler ◽  
M. Daoud ◽  
L. Leibler
Keyword(s):  
Structure Factor ◽  
Branched Polymers ◽  
Experimental Structure

Essential Singularity in a Model of Branched Polymers

1987 ◽  
Vol 3 (1) ◽  
pp. 21-26 ◽  
Author(s):  
J Vannimenus ◽  
M Knezevic
Keyword(s):  
Branched Polymers ◽  
Essential Singularity

scholarly journals Label-Free Electrochemical Sensor for Rapid Bacterial Pathogen Detection Using Vancomycin-Modified Highly Branched Polymers

Sensors ◽  
2021 ◽  
Vol 21 (5) ◽  
pp. 1872
Author(s):  
Holger Schulze ◽  
Harry Wilson ◽  
Ines Cara ◽  
Steven Carter ◽  
Edward N. Dyson ◽  
...  
Keyword(s):  
Pathogen Detection ◽  
Electrochemical Impedance ◽  
Point Of Care ◽  
Branched Polymers ◽  
Label Free ◽  
Conformation Change ◽  
Gram Positive ◽  
Gram Positive Bacteria ◽  
Staphylococcus Carnosus ◽  
Label Free Detection

Rapid point of care tests for bacterial infection diagnosis are of great importance to reduce the misuse of antibiotics and burden of antimicrobial resistance. Here, we have successfully combined a new class of non-biological binder molecules with electrochemical impedance spectroscopy (EIS)-based sensor detection for direct, label-free detection of Gram-positive bacteria making use of the specific coil-to-globule conformation change of the vancomycin-modified highly branched polymers immobilized on the surface of gold screen-printed electrodes upon binding to Gram-positive bacteria. Staphylococcus carnosus was detected after just 20 min incubation of the sample solution with the polymer-functionalized electrodes. The polymer conformation change was quantified with two simple 1 min EIS tests before and after incubation with the sample. Tests revealed a concentration dependent signal change within an OD600 range of Staphylococcus carnosus from 0.002 to 0.1 and a clear discrimination between Gram-positive Staphylococcus carnosus and Gram-negative Escherichia coli bacteria. This exhibits a clear advancement in terms of simplified test complexity compared to existing bacteria detection tests. In addition, the polymer-functionalized electrodes showed good storage and operational stability.

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