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1

Hollander, F. "Random polymers." Statistica Neerlandica 50, no. 1 (March 1996): 136–45. http://dx.doi.org/10.1111/j.1467-9574.1996.tb01484.x.

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2

DURHUUS, BERGFINNUR, and THORDUR JONSSON. "A POLYMER GAS ON A RANDOM SURFACE." Modern Physics Letters A 13, no. 02 (January 20, 1998): 153–57. http://dx.doi.org/10.1142/s021773239800019x.

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Using the observation that configurations of N polymers with hard core interactions on a closed random surface correspond to random surfaces with N boundary components, we calculate the free energy of a gas of polymers interacting with fully quantized two-dimensioanal gravity. We derive the equation of state for the polymer gas and find that all the virial coefficients beyond the second one vanish identically.
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3

Buffet, E., and J. V. Pul�. "Polymers and random graphs." Journal of Statistical Physics 64, no. 1-2 (July 1991): 87–110. http://dx.doi.org/10.1007/bf01057869.

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4

Tobita, Hidetaka. "Random Degradation of Branched Polymers. 1. Star Polymers." Macromolecules 29, no. 8 (January 1996): 3000–3009. http://dx.doi.org/10.1021/ma950971c.

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5

Stepanow, S. "Polymers in a random environment." Journal of Physics A: Mathematical and General 25, no. 23 (December 7, 1992): 6187–92. http://dx.doi.org/10.1088/0305-4470/25/23/016.

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6

Kantor, Y., and M. Kardar. "Polymers with Random Self-Interactions." Europhysics Letters (EPL) 14, no. 5 (March 1, 1991): 421–26. http://dx.doi.org/10.1209/0295-5075/14/5/006.

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7

FRANZ, SILVIO, MARC MÉZARD, and GIORGIO PARISI. "ON THE MEAN FIELD THEORY OF RANDOM HETEROPOLYMERS." International Journal of Neural Systems 03, supp01 (January 1992): 195–200. http://dx.doi.org/10.1142/s0129065792000528.

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We discuss some of the problems appearing in the Mean Field Theory of Random Heteropolymers. We show how an hypothesis of replica symmetry maps this problem onto a directed polymer in a random potential, and explain how this hypothesis can be checked through numerical simulations on directed polymers. The approach of Shaknovitch and Gutin is also reviewed in light of these findings.
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8

Hu, Liuyong, Wenqiang Qiao, Jinfeng Han, Xiaokang Zhou, Canglong Wang, Dongge Ma, Zhi Yuan Wang, and Yuning Li. "Naphthalene diimide–diketopyrrolopyrrole copolymers as non-fullerene acceptors for use in bulk-heterojunction all-polymer UV–NIR photodetectors." Polymer Chemistry 8, no. 3 (2017): 528–36. http://dx.doi.org/10.1039/c6py01828a.

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9

Lin, Yan-Cheng, Kosuke Terayama, Keita Yoshida, Ping-Jui Yu, Pin-Hsiang Chueh, Chu-Chen Chueh, Tomoya Higashihara, and Wen-Chang Chen. "Strain-insensitive naphthalene-diimide-based conjugated polymers through sequential regularity control." Materials Chemistry Frontiers 6, no. 7 (2022): 891–900. http://dx.doi.org/10.1039/d1qm01521d.

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Sequential regularity control on the n-type conjugated polymers was investigated in this work. The sequentially random polymer produced a near-amorphous structure and a strain-insensitive charge transport performance.
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10

Li, Hongze, Yingwu Luo, and Xiang Gao. "Core–shell nano-latex blending method to prepare multi-shape memory polymers." Soft Matter 13, no. 31 (2017): 5324–31. http://dx.doi.org/10.1039/c7sm00899f.

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11

Comets, Francis, Gregorio Moreno, and Alejandro F. Ramí rez. "Random polymers on the complete graph." Bernoulli 25, no. 1 (February 2019): 683–711. http://dx.doi.org/10.3150/17-bej1002.

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12

Gorokhov, D. A., and G. Blatter. "Marginal pinning of quenched random polymers." Physical Review B 62, no. 21 (December 1, 2000): 14032–39. http://dx.doi.org/10.1103/physrevb.62.14032.

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13

Jögi, Per, and Didier Sornette. "Self-organized critical random directed polymers." Physical Review E 57, no. 6 (June 1, 1998): 6936–43. http://dx.doi.org/10.1103/physreve.57.6936.

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14

AFONSO, M. MARTINS, and D. VINCENZI. "Nonlinear elastic polymers in random flow." Journal of Fluid Mechanics 540, no. -1 (September 27, 2005): 99. http://dx.doi.org/10.1017/s0022112005005951.

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15

Staggs, J. E. J. "Modelling random scission of linear polymers." Polymer Degradation and Stability 76, no. 1 (January 2002): 37–44. http://dx.doi.org/10.1016/s0141-3910(01)00263-4.

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16

Wolf, M., and K. Fesser. "Random interchain coupling of conjugated polymers." Synthetic Metals 43, no. 1-2 (June 1991): 3403. http://dx.doi.org/10.1016/0379-6779(91)91314-z.

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17

Comets, Francis, and Nobuo Yoshida. "Brownian Directed Polymers in Random Environment." Communications in Mathematical Physics 254, no. 2 (October 14, 2004): 257–87. http://dx.doi.org/10.1007/s00220-004-1203-7.

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18

Dua, Arti, and Thomas A. Vilgis. "Semiflexible polymers in a random environment." Journal of Chemical Physics 121, no. 11 (September 15, 2004): 5505–13. http://dx.doi.org/10.1063/1.1783272.

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19

Zygouras, N. "Strong disorder in semidirected random polymers." Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 49, no. 3 (August 2013): 753–80. http://dx.doi.org/10.1214/12-aihp483.

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20

Wolf, M., and K. Fesser. "Random interchain coupling of conjugated polymers." Journal of Physics: Condensed Matter 3, no. 29 (July 22, 1991): 5489–98. http://dx.doi.org/10.1088/0953-8984/3/29/004.

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21

Klein, D. J., T. P. Zivković, and N. Trinajstić. "Resonance in random π-network polymers." Journal of Mathematical Chemistry 1, no. 3 (September 1987): 309–34. http://dx.doi.org/10.1007/bf01179796.

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22

Derrida, B. "Directed polymers in a random medium." Physica A: Statistical Mechanics and its Applications 163, no. 1 (February 1990): 71–84. http://dx.doi.org/10.1016/0378-4371(90)90316-k.

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23

Pei, Yi Wen, Jadranka Travas-Sejdic, and David E. Williams. "Synthesis and Characterization of Polysulfobetaines and their Random Copolymers." Materials Science Forum 700 (September 2011): 219–22. http://dx.doi.org/10.4028/www.scientific.net/msf.700.219.

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[3-(Methacryloylamino) propyl) dimethyl (3-sulfopropyl) ammonium hydroxide] polymer, known as poly (MPDSAH), and the random copolymers based on methyl methacrylate (MMA), methacryloxyethyltrimethylammonium (METAC) and 3-sulfopropyl methacrylate potassium (SPMA) were synthesized via Reversible Addition-Fragmentation Chain Transfer (RAFT) polymerization technique. Solution properties of these (co) polymers in response to temperature and ionic strength have been studied using dynamic light scattering (DLS). For poly (MPDSAH), polymer size decreased from 500 nm to 10 nm (in diameter) when the polymer aqueous solution was heated up from 15°C to 60°C or added 20 mM sodium chloride. The solution behaviour of poly (METAC-stat-MMA-stat-SPMA) is opposite to that of poly (MPDSAH): the size of polymer increased from 10 nm to 20 nm (in diameter) depending upon the elevating temperature or the addition of salt.
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24

Yang, Wen Jun, Guo Zhu Liu, Ji Min Wang, and Du Ling Xia. "Synthesis of Zero-Birefringence Polymers Based on Positive and Negative Birefringence Polymer." Key Engineering Materials 428-429 (January 2010): 111–16. http://dx.doi.org/10.4028/www.scientific.net/kem.428-429.111.

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Birefringence of a polymer is caused by polymer chain orientation during an injection-molding, extrusion processing or heat drawing. Birefringence of polymers degrades the performance of optical devices that require focusing by lenses or maintaining the polarization state of incident light. Optical polymers which exhibit no birefringence with any orientation of polymer chains are desirable to realize high performance optical devices that handle polarized light. In this study we demonstrate the random copolymerization method for synthesizing the zero-birefringence polymers in which positive and negative birefringence homopolymer are blended. We synthesize a polymer that exhibits no orientational birefringence with any orientation degree in a system that is composed of Methyl methacrylate/Styrene/Benzyl methacrylate.
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25

Hoffman, Allan S. "Bioconjugates of Intelligent Polymers and Recognition Proteins for Use in Diagnostics and Affinity Separations." Clinical Chemistry 46, no. 9 (September 1, 2000): 1478–86. http://dx.doi.org/10.1093/clinchem/46.9.1478.

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Abstract Polymers that respond to small changes in environmental stimuli with large, sometimes discontinuous changes in their physical state or properties are often called “intelligent” or “smart” polymers. We have conjugated these polymers to different recognition proteins, including antibodies, protein A, streptavidin, and enzymes. These bioconjugates have been prepared by random polymer conjugation to lysine amino groups on the protein surface, and also by site-specific conjugation of the polymer to specific amino acid sites, such as cysteine sulfhydryl groups, that are genetically engineered into the known amino acid sequence of the protein. We have conjugated several different smart polymers to streptavidin, including temperature-, pH-, and light-sensitive polymers. The preparation of these conjugates and their many fascinating applications are reviewed here.
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26

Barbosa, Hélder M. C., and Marta M. D. Ramos. "Computer Simulation of Hole Distribution in Polymeric Materials." Materials Science Forum 587-588 (June 2008): 711–15. http://dx.doi.org/10.4028/www.scientific.net/msf.587-588.711.

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Polymers have been known for their flexibility and easy processing into coatings and films, which made them suitable to be applied in a variety of areas and in particular the growing area of organic electronics. The electronic properties of semiconducting polymers made them a serious rival in areas where until now inorganic materials were the most used, such as light emitting diodes or solar cells. Typical polymers can be seen as a network of molecular strands of varied lengths and orientations, with a random distribution of physical and chemical defects which makes them an anisotropic material. To further increase their performance, a better understanding of all aspects related to charge transport and space charge distribution in polymeric materials is required. The process associated with charge transport depends on the properties of the polymer molecules as well as connectivity and texture, and so we adopt a mesoscopic approach to build polymer structures. Changing the potential barrier for charge injection we can introduce holes in the polymer network and, by using a generalised Monte-Carlo method, we can simulate the transport of the injected charge through the polymer layer caused by imposing a voltage between two planar electrodes. Our results show that the way that holes distribute within polymer layer and charge localization in these materials is quite different from the inorganic ones.
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27

Zygouras, Nikolaos. "Semidirected random polymers: Strong disorder and localization." Actes des rencontres du CIRM 2, no. 1 (2010): 47–48. http://dx.doi.org/10.5802/acirm.25.

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28

Jurjiu, A., R. Dockhorn, O. Mironova, and J. U. Sommer. "Two universality classes for random hyperbranched polymers." Soft Matter 10, no. 27 (2014): 4935. http://dx.doi.org/10.1039/c4sm00711e.

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29

Kardar, Mehran, and Yi-Cheng Zhang. "Scaling of Directed Polymers in Random Media." Physical Review Letters 58, no. 20 (May 18, 1987): 2087–90. http://dx.doi.org/10.1103/physrevlett.58.2087.

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30

Sebastian, K. L., and K. Sumithra. "Adsorption of polymers on a random surface." Physical Review E 47, no. 1 (January 1, 1993): R32—R35. http://dx.doi.org/10.1103/physreve.47.r32.

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31

Høye, Johan Skule, George Stell, and Chi-Lun Lee. "Ornstein−Zernike Random-Walk Approach for Polymers†." Journal of Physical Chemistry B 108, no. 51 (December 2004): 19809–17. http://dx.doi.org/10.1021/jp0404302.

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32

Zhang, Zhi-Yong, Shi-Jie Xiong, and S. N. Evangelou. "Electronic transport in random-side-chain polymers." Journal of Physics: Condensed Matter 10, no. 36 (September 14, 1998): 8049–57. http://dx.doi.org/10.1088/0953-8984/10/36/014.

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33

Chakrabarti, Bikas K., Amit K. Chattopadhyay, and Amit Dutta. "Dynamics of linear polymers in random media." Physica A: Statistical Mechanics and its Applications 333 (February 2004): 34–40. http://dx.doi.org/10.1016/j.physa.2003.10.047.

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34

Hansen, Alex, Einar L. Hinrichsen, and St�phane Roux. "Non-directed polymers in a random medium." Journal de Physique I 3, no. 7 (July 1993): 1569–84. http://dx.doi.org/10.1051/jp1:1993201.

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35

Semenov, A. N. "Dynamics of associating polymers with random structure." Europhysics Letters (EPL) 76, no. 6 (December 2006): 1116–22. http://dx.doi.org/10.1209/epl/i2006-10396-9.

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36

Halpin-Healy, Timothy. "Directed polymers in random media: Probability distributions." Physical Review A 44, no. 6 (September 1, 1991): R3415—R3418. http://dx.doi.org/10.1103/physreva.44.r3415.

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37

Berger, Quentin, and Niccolò Torri. "Directed polymers in heavy-tail random environment." Annals of Probability 47, no. 6 (November 2019): 4024–76. http://dx.doi.org/10.1214/19-aop1353.

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38

Trovato, A., J. van Mourik, and A. Maritan. "Swollen-collapsed transition in random hetero-polymers." European Physical Journal B 6, no. 1 (November 1998): 63–73. http://dx.doi.org/10.1007/s100510050527.

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39

Borodin, Alexei, Alexey Bufetov, and Ivan Corwin. "Directed random polymers via nested contour integrals." Annals of Physics 368 (May 2016): 191–247. http://dx.doi.org/10.1016/j.aop.2016.02.001.

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40

Scott, Kenneth W. "Criteria for random degradation of linear polymers." Journal of Polymer Science: Polymer Symposia 46, no. 1 (February 9, 2009): 321–34. http://dx.doi.org/10.1002/polc.5070460124.

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41

Sznitko, Lech, Jaroslaw Mysliwiec, and Andrzej Miniewicz. "The role of polymers in random lasing." Journal of Polymer Science Part B: Polymer Physics 53, no. 14 (April 28, 2015): 951–74. http://dx.doi.org/10.1002/polb.23731.

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42

Hossain, MA, Morium, M. Elias, MM Rahman, MM Rahaman, MS Ali, and MA Razzak. "Multi-phenyl structured aromatic hydrocarbon polymer." Bangladesh Journal of Scientific and Industrial Research 55, no. 2 (June 16, 2020): 139–46. http://dx.doi.org/10.3329/bjsir.v55i2.47634.

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Multi-phenyl structured random polymer was synthesized via condensation polymerization reaction by applying different monomer ratios and characterized by various spectroscopic methods (FT-IR, 1H NMR). The prepared polymers showed good thermooxidative stability up to 400 ºC. The surface morphology was studied by FESEM that showed the good linkage among the polymer chains. The EDS data of poly(fluorenylene ether ketone), PFEK; demonstrated that all the monomers participated in the copolymerization reaction. Inherent viscosity values of the polymers were obtained in the range of 0.76∼1.12 dL g-1. The polymers’ yield was within 85~90%. The obtained results indicate that the multi-phenyl structured polymer will be the good candidates to prepare the effective aromatic hydrocarbon polymer electrolyte membrane. Bangladesh J. Sci. Ind. Res.55(2), 139-146, 2020
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43

Howard, Jenna B., and Barry C. Thompson. "Design of Random and Semi-Random Conjugated Polymers for Organic Solar Cells." Macromolecular Chemistry and Physics 218, no. 21 (August 15, 2017): 1700255. http://dx.doi.org/10.1002/macp.201700255.

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44

Tashkinov, M. A., A. D. Dobrydneva, V. P. Matveenko, and V. V. Silberschmidt. "Modeling the Effective Conductive Properties of Polymer Nanocomposites with a Random Arrangement of Graphene Oxide Particles." PNRPU Mechanics Bulletin, no. 2 (December 15, 2021): 167–80. http://dx.doi.org/10.15593/perm.mech/2021.2.15.

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Сomposite materials are widely used in various industrial sectors, for example, in the aviation, marine and automotive industries, civil engineering and others. Methods based on measuring the electrical conductivity of a composite material have been actively developed to detect internal damage in polymer composite materials, such as matrix cracking, delamination, and other types of defects, which make it possible to monitor a composite’s state during its entire service life. Polymers are often used as matrices in composite materials. However, almost always pure polymers are dielectrics. The addition of nanofillers, such as graphene and its derivatives, has been successfully used to create conductive composites based on insulating polymers. The final properties of nanomodified composites can be influenced by many factors, including the type and intrinsic properties of nanoscale objects, their dispersion in the polymer matrix, and interphase interactions. The work deals with modeling of effective electric conductive properties of the representative volume elements of nanoscale composites based on a polymer matrix with graphene oxide particles distributed in it. In particular, methods for evaluating effective, electrically conductive properties have been studied, finite element modelling of representative volumes of polymer matrices with graphene oxide particles have been performed, and the influence of the tunneling effect and the orientation of inclusions on the conductive properties of materials have been investigated. The possibility of using models of resistive strain gauges operating on the principle of the tunneling effect is studied. Based on the finite-element modeling and graph theory tools, we created approaches for estimating changes in the conductive properties of the representative volume elements of a nanomodified matrix subjected to mechanical loading.
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45

Le Doussal, Pierre. "Diffusion in layered random flows, polymers, electrons in random potentials, and spin depolarization in random fields." Journal of Statistical Physics 69, no. 5-6 (December 1992): 917–54. http://dx.doi.org/10.1007/bf01058756.

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46

Yasuda, Shugo. "Synchronized Molecular-Dynamics Simulation of the Thermal Lubrication of an Entangled Polymeric Liquid." Polymers 11, no. 1 (January 13, 2019): 131. http://dx.doi.org/10.3390/polym11010131.

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The thermal lubrication of an entangled polymeric liquid in wall-driven shear flows between parallel plates is investigated by using a multiscale hybrid method, coupling molecular dynamics and hydrodynamics (i.e., the synchronized molecular dynamics method). The temperature of the polymeric liquid rapidly increases due to viscous heating once the drive force exceeds a certain threshold value, and the rheological properties drastically change at around the critical drive force. In the weak viscous-heating regime, the conformation of polymer chains is dominated by the flow field so that the polymers are more elongated as the drive force increases. However, in the large viscous-heating regime, the conformation dynamics is dominated by the thermal agitation of polymer chains so that the conformation of polymers recovers more uniform and random structures as the drive force increases, even though the local shear flows are further enhanced. Remarkably, this counter-intuitive transitional behavior gives an interesting re-entrant transition in the stress–optical relation, where the linear stress–optical relation approximately holds even though each of the macroscopic quantities behaves nonlinearly. Furthermore, the shear thickening behavior is also observed in the large viscous-heating regime—this was not observed in a series of previous studies on an unentangled polymer fluid. This qualitative difference of the thermo-rheological property between the entangled and unentangled polymer fluids gives completely different velocity profiles in the thermal lubrication system.
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47

Montdargent, Béatrice, and Didier Letourneur. "Toward New Biomaterials." Infection Control & Hospital Epidemiology 21, no. 6 (June 2000): 404–10. http://dx.doi.org/10.1086/501782.

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Polymers are widely used for a large range of medical devices used as biomaterials on a temporary, intermittent, and long-term basis. It is now well accepted that the initial rapid adsorption of proteins to polymeric surfaces affects the performance of these biomaterials. However, protein adsorption to a polymer surface can be modulated by an appropriate design of the interface. Extensive study has shown that these interactions can be minimized by coating with a highly hydrated layer (hydrogel), by grafting on the surface different biomolecules, or by creating domains with chemical functions (charges, hydrophilic groups). Our laboratory has investigated the latter approach over the past 2 decades, in particular the synthesis and the biological activities of polymers to improve the biocompatibility of blood-contacting devices. These soluble and insoluble polymers were obtained by chemical substitution of macromolecular chains with suitable groups able to develop specific interactions with biological components. Applied to compatibility with the blood and the immune systems, this concept has been extended to interactions of polymeric biomaterials with eukaryotic and prokaryotic cells. The design of new biomaterials with low bacterial attachment is thus under intensive study. After a brief overview of current trends in the surface modifications of biocompatible materials, we will describe how biospecific polymers can be obtained and review our recent results on the inhibition of bacterial adhesion using one type of functionalized polymer obtained by random substitution. This strategy, applied to existing or new materials, seems promising for the limitation of biomaterial-associated infections.
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48

Benito, Javier, Nikos Karayiannis, and Manuel Laso. "Confined Polymers as Self-Avoiding Random Walks on Restricted Lattices." Polymers 10, no. 12 (December 15, 2018): 1394. http://dx.doi.org/10.3390/polym10121394.

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Polymers in highly confined geometries can display complex morphologies including ordered phases. A basic component of a theoretical analysis of their phase behavior in confined geometries is the knowledge of the number of possible single-chain conformations compatible with the geometrical restrictions and the established crystalline morphology. While the statistical properties of unrestricted self-avoiding random walks (SAWs) both on and off-lattice are very well known, the same is not true for SAWs in confined geometries. The purpose of this contribution is (a) to enumerate the number of SAWs on the simple cubic (SC) and face-centered cubic (FCC) lattices under confinement for moderate SAW lengths, and (b) to obtain an approximate expression for their behavior as a function of chain length, type of lattice, and degree of confinement. This information is an essential requirement for the understanding and prediction of entropy-driven phase transitions of model polymer chains under confinement. In addition, a simple geometric argument is presented that explains, to first order, the dependence of the number of restricted SAWs on the type of SAW origin.
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49

Romm, Freddy A., and Oleg L. Figovsky. "Statistical polymer method: Modeling of macromolecules and aggregates with branching and crosslinking, formed in random processes." Discrete Dynamics in Nature and Society 2, no. 3 (1998): 203–8. http://dx.doi.org/10.1155/s1026022698000181.

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The statistical polymer method is based on the consideration of averaged structures of all possible macromolecules of the same weight. One has derived equations allowing evaluation of all additive parameters of macromolecules and their systems. The statistical polymer method allows modeling of branched crosslinked macromolecules and their systems in equilibrium or non-equilibrium. The fractal consideration of statistical polymer allows modeling of all kinds of random fractal and other objects studied by fractal theory. The statistical polymer method is applicable not only to polymers but also to composites, gels,associates in polar liquids and other aggregates.
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50

Raccosta, Samuele, Fabio Librizzi, Alistair M. Jagger, Rosina Noto, Vincenzo Martorana, David A. Lomas, James A. Irving, and Mauro Manno. "Scaling Concepts in Serpin Polymer Physics." Materials 14, no. 10 (May 15, 2021): 2577. http://dx.doi.org/10.3390/ma14102577.

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α1-Antitrypsin is a protease inhibitor belonging to the serpin family. Serpin polymerisation is at the core of a class of genetic conformational diseases called serpinopathies. These polymers are known to be unbranched, flexible, and heterogeneous in size with a beads-on-a-string appearance viewed by negative stain electron microscopy. Here, we use atomic force microscopy and time-lapse dynamic light scattering to measure polymer size and shape for wild-type (M) and Glu342→Lys (Z) α1-antitrypsin, the most common variant that leads to severe pathological deficiency. Our data for small polymers deposited onto mica and in solution reveal a power law relation between the polymer size, namely the end-to-end distance or the hydrodynamic radius, and the polymer mass, proportional to the contour length. We use the scaling concepts of polymer physics to assess that α1-antitrypsin polymers are random linear chains with a low persistence length.
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