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Biofouling
The Journal of Bioadhesion and Biofilm Research
Volume 22, 2006 - Issue 6
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Original Articles

A review of surface roughness in antifouling coatings illustrating the importance of cutoff length

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Pages 401-410 | Received 15 May 2006, Accepted 13 Sep 2006, Published online: 11 Jan 2007

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Read on this site (14)

Ali Ansari, Mohammad Saadatbakhsh, Mehdi Sohrabi, Shahin Jamali Asl & Nowrouz Mohammad Nouri. (2023) Antifouling activity of superhydrophobic PDMS/hydrophobic silica coating. Surface Engineering 39:1, pages 35-48.
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T. Subba Rao, P. S. Murthy, P. Veeramani, D. S. Narayanan, R. Ramesh, B. N. Jyothi, D. Muthukumaran, M. Murugesan, A. Vadivelan, G. Dharani, J. Santhanakumar & G. A. Ramadass. (2021) Assessment of biogrowth assemblages with depth in a seawater intake system of a coastal power station. Biofouling 37:5, pages 506-520.
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Elisa Guazzelli, Elisa Martinelli, Lucile Pelloquet, Jean-François Briand, André Margaillan, Robert Bunet, Giancarlo Galli & Christine Bressy. (2020) Amphiphilic hydrolyzable polydimethylsiloxane-b-poly(ethyleneglycol methacrylate-co-trialkylsilyl methacrylate) block copolymers for marine coatings. II. Antifouling laboratory tests and field trials. Biofouling 36:4, pages 378-388.
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Sukanya Pradhan, Sudheer Kumar, Smita Mohanty & Sanjay K. Nayak. (2019) Environmentally Benign Fouling-Resistant Marine Coatings: A Review. Polymer-Plastics Technology and Materials 58:5, pages 498-518.
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M. P. Schultz, J. M. Walker, C. N. Steppe & K. A. Flack. (2015) Impact of diatomaceous biofilms on the frictional drag of fouling-release coatings. Biofouling 31:9-10, pages 759-773.
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L. Holly Sweat & Kevin B. Johnson. (2013) The effects of fine-scale substratum roughness on diatom community structure in estuarine biofilms. Biofouling 29:8, pages 879-890.
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N. Mitik-Dineva, J. Wang, V.K. Truong, P.R. Stoddart, M.R. Alexander, D.J. Albutt, C. Fluke, R.J. Crawford & E.P. Ivanova. (2010) Bacterial attachment on optical fibre surfaces. Biofouling 26:4, pages 461-470.
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J. Verran, A. Packer, P. J. Kelly & K. A. Whitehead. (2010) Use of the Atomic Force Microscope to Determine the Strength of Bacterial Attachment to Grooved Surface Features. Journal of Adhesion Science and Technology 24:13-14, pages 2271-2285.
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N. Mitik-Dineva, J. Wang, V.K. Truong, P.R. Stoddart, F. Malherbe, R.J. Crawford & E.P. Ivanova. (2009) Differences in colonisation of five marine bacteria on two types of glass surfaces. Biofouling 25:7, pages 621-631.
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S.M. Olsen, L.T. Pedersen, M.H. Laursen, S. Kiil & K. Dam-Johansen. (2007) Enzyme-based antifouling coatings: a review. Biofouling 23:5, pages 369-383.
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M.R. A. Koehl. (2007) Mini review: Hydrodynamics of larval settlement into fouling communities. Biofouling 23:5, pages 357-368.
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J.C. Beaumont, C.J. Brown & M.D. J. Sayer. (2007) Evaluation of techniques used in the assessment of subtidal epibiotic assemblage structure. Biofouling 23:5, pages 343-356.
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MichaelP. Schultz. (2007) Effects of coating roughness and biofouling on ship resistance and powering. Biofouling 23:5, pages 331-341.
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Amreeta Sarjit, Sin Mei Tan & Gary A. Dykes. (2015) Surface modification of materials to encourage beneficial biofilm formation. AIMS Bioengineering 2:4, pages 404-422.
Crossref
Hermann EhrlichHermann Ehrlich. 2015. Biological Materials of Marine Origin. Biological Materials of Marine Origin 237 262 .
Karen A. Flack & Michael P. Schultz. (2014) Roughness effects on wall-bounded turbulent flows. Physics of Fluids 26:10.
Crossref
Hong Chen, Mingzhen Zhang, Jintao Yang, Chao Zhao, Rundong Hu, Qiang Chen, Yung Chang & Jie Zheng. (2014) Synthesis and Characterization of Antifouling Poly( N -acryloylaminoethoxyethanol) with Ultralow Protein Adsorption and Cell Attachment . Langmuir 30:34, pages 10398-10409.
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Wangyao Ge, Qian Yu, Gabriel P. López & Adrienne D. Stiff-Roberts. (2014) Antimicrobial oligo(p-phenylene-ethynylene) film deposited by resonant infrared matrix-assisted pulsed laser evaporation. Colloids and Surfaces B: Biointerfaces 116, pages 786-792.
Crossref
Felicia Wong Yen Myan, James Walker & Odette Paramor. (2013) The interaction of marine fouling organisms with topography of varied scale and geometry: a review. Biointerphases 8:1, pages 30.
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Sokunrotanak Srey, Iqbal Kabir Jahid & Sang-Do Ha. (2013) Biofilm formation in food industries: A food safety concern. Food Control 31:2, pages 572-585.
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Kai Muffler, Christin Schlegel, Christiane Ziegler, Jan C. Aurich & Roland Ulber. (2013) Produktive Biofilme. BIOspektrum 19:2, pages 216-217.
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Petra Ditsche-Kuru, Wilhelm Barthlott & Jochen H.E. Koop. (2012) At which surface roughness do claws cling? Investigations with larvae of the running water mayfly Epeorus assimilis (Heptageniidae, Ephemeroptera). Zoology 115:6, pages 379-388.
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Marlène Lejars, André Margaillan & Christine Bressy. (2012) Fouling Release Coatings: A Nontoxic Alternative to Biocidal Antifouling Coatings. Chemical Reviews 112:8, pages 4347-4390.
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Chang-Hwan Choi & Chang-Jin Kim. 2012. Green Tribology. Green Tribology 79 103 .
Kamila Myszka & Katarzyna Czaczyk. (2011) Bacterial Biofilms on Food Contact Surfaces - a Review. Polish Journal of Food and Nutrition Sciences 61:3, pages 173-180.
Crossref
Chad M. Eliason & Matthew D. Shawkey. (2011) Decreased hydrophobicity of iridescent feathers: a potential cost of shiny plumage. Journal of Experimental Biology 214:13, pages 2157-2163.
Crossref
Kateryna Bazaka, Mohan Jacob, Vi Khanh Truong, Russell J. Crawford & Elena P. Ivanova. (2011) The Effect of Polyterpenol Thin Film Surfaces on Bacterial Viability and Adhesion. Polymers 3:1, pages 388-404.
Crossref
V.R. Kearns, R.J. Mcmurray & M.J. Dalby. 2011. Surface Modification of Biomaterials. Surface Modification of Biomaterials 169 201 .
Dérick Rousseau, Sopark Sonwai & Rizwan Khan. (2010) Microscale Surface Roughening of Chocolate Viewed with Optical Profilometry. Journal of the American Oil Chemists' Society 87:10, pages 1127-1136.
Crossref
Natalia Bellotti, Cecilia Deyá, Beatriz del Amo & Roberto Romagnoli. (2010) Antifouling Paints with Zinc “Tannate”. Industrial & Engineering Chemistry Research 49:7, pages 3386-3390.
Crossref
Karen A. Flack & Michael P. Schultz. (2010) Review of Hydraulic Roughness Scales in the Fully Rough Regime. Journal of Fluids Engineering 132:4.
Crossref
Chelsea M. Magin, Scott P. Cooper & Anthony B. Brennan. (2010) Non-toxic antifouling strategies. Materials Today 13:4, pages 36-44.
Crossref
Jelmer Sjollema, Prashant K. Sharma, Rene J.B. Dijkstra, Gooitzen M. van Dam, Henny C. van der Mei, Anton F. Engelsman & Henk J. Busscher. (2010) The potential for bio-optical imaging of biomaterial-associated infection in vivo. Biomaterials 31:8, pages 1984-1995.
Crossref
Xiaofei Huang, Subir Bhattacharjee & Eric M. V. Hoek. (2009) Is Surface Roughness a “Scapegoat” or a Primary Factor When Defining Particle−Substrate Interactions?. Langmuir 26:4, pages 2528-2537.
Crossref
Natasa Mitik-Dineva, Russell J. Crawford & Elena P. Ivanova. (2010) Bacterial interactions with optical fibre surfaces. Bacterial interactions with optical fibre surfaces.
Dean C. Webster & Bret J. Chisholm. 2009. Biofouling. Biofouling 366 387 .
Christian Hannig & Matthias Hannig. (2009) The oral cavity—a key system to understand substratum-dependent bioadhesion on solid surfaces in man. Clinical Oral Investigations 13:2, pages 123-139.
Crossref
Kirill EfimenkoJohn FinlayMaureen E. CallowJames A. CallowJan Genzer. (2009) Development and Testing of Hierarchically Wrinkled Coatings for Marine Antifouling. ACS Applied Materials & Interfaces 1:5, pages 1031-1040.
Crossref
Natasa Mitik-Dineva, James Wang, Vi Khanh Truong, Paul Stoddart, Francois Malherbe, Russell J. Crawford & Elena P. Ivanova. (2008) Escherichia coli, Pseudomonas aeruginosa, and Staphylococcus aureus Attachment Patterns on Glass Surfaces with Nanoscale Roughness. Current Microbiology 58:3, pages 268-273.
Crossref
A.J. Scardino. 2009. Advances in Marine Antifouling Coatings and Technologies. Advances in Marine Antifouling Coatings and Technologies 664 692 .
D. Howell. 2009. Advances in Marine Antifouling Coatings and Technologies. Advances in Marine Antifouling Coatings and Technologies 422 442 .
Shiliang (Johnathan) Tan, Chi Siang Ong & Jia Wei Chew. (2022) Atomistic-Scale Energetic Heterogeneity on a Membrane Surface. SSRN Electronic Journal.
Crossref
Joana Moreira, Margarida M. Fernandes, Estela Carvalho, Ana Nicolau, Vesna Lazic, Vesna Lazic, Jovan Nedeljković & S. Lanceros-Méndez. (2021) Exploring Electroactive Microenvironments in Polymer-Based Nanocomposites to Sensitize Bacterial Cells to Low Doses of Antimicrobials. SSRN Electronic Journal.
Crossref

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