Functional role of the fractal morphology of corals: A full model of the nutrient turbulent diffusion fluxes to a coral reef |
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| Affiliation: | 1. Department of Vascular Surgery, The Second Affiliated Hospital of Nanchang University, Nanchang, Jiangxi, China;2. Key Laboratory of Molecular Medicine of Jiangxi Province, Nanchang, Jiangxi, China;3. Department of Laboratory Medicine, The Second Affiliated Hospital of Nanchang University, Nanchang, Jiangxi, China;1. Faculty of Engineering, University of Jaffna, Sri Lanka;1. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333 Moscow, Russia;2. Moscow Center for Fundamental and Applied Mathematics at INM RAS, 119333 Moscow, Russia;3. Sechenov First Moscow State Medical University, 119991 Moscow, Russia;4. IRTA, Centre de Recerca en Sanitat Animal (IRTA-CReSA), Campus de la Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain;5. Infection Biology Laboratory, Department of Experimental and Health Sciences, Universitat Pompeu Fabra, 08003 Barcelona, Spain;6. ICREA, Pg. Lluís Companys 23, 08010 Barcelona, Spain;1. Liverpool Hope University, Psychology, Action and Learning of Movement Group, School of Health Sciences, Hope Park, Liverpool L16 9JD, United Kingdom of Great Britain and Northern Ireland;2. School of Sport, Health and Exercise Sciences, Institute for the Psychology of Elite Performance, Bangor University, George Building, Bangor LL57 2PZ, United Kingdom of Great Britain and Northern Ireland |
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| Abstract: | We present for the first time a dynamic model relating the functional role played by a fractal morphology: the effect of the fractal texture of adsorbents on the turbulent diffusion flux enhancement is quantified. The resulting law is extrapolated to a set of fractal dimensions of coral colonies. Thus, we reach the conclusion that previous modelisation of a reef nutrient uptake did not match with field values, because it only took the colony scale roughness into account, whereas our multiscale fractal approach matches real data very well. |
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