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1

Larson, T. K., and R. A. Dimenna. "Preservation of Natural Circulation Similarity Criteria in Mathematical Models." Nuclear Science and Engineering 100, no. 1 (September 1988): 21–32. http://dx.doi.org/10.13182/nse88-a29011.

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2

Murthy, C. R., and W. M. Schertzer. "Physical Limnology and Water Quality Modelling of North American Great Lakes." Water Quality Research Journal 29, no. 2-3 (May 1, 1994): 157–84. http://dx.doi.org/10.2166/wqrj.1994.012.

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Abstract (sommario):
Abstract Incorporation of physical limnological processes within the water quality/contaminant modelling framework of large lake systems is fundamental for accurate simulation of transport, distribution and pathways of pollutants. Specific examples of water quality/contaminant model applications to the North American Great Lakes are presented with emphasis on models which incorporate physical processes to solve eutrophic and toxic contaminant problems. Examples of circulation and transport model application to lakes and coastal areas as well as thermocline models are briefly described. Water q
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3

Guseynov, Sharif E., and Jekaterina V. Aleksejeva. "Mathematical Modelling of Aquatic Ecosystem." Environment. Technology. Resources. Proceedings of the International Scientific and Practical Conference 3 (June 16, 2015): 92. http://dx.doi.org/10.17770/etr2015vol3.192.

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Abstract (sommario):
<p class="R-AbstractKeywords"><span lang="EN-US">In present paper we consider the complete statements of initial-boundary problems for the modelling of various aspects of aqueous systems in Latvia. All the proposed models are the evolutionary models: all they are nonstationary and continuous qualitative models having the dynamic parameters and aimed at analysis, evaluation and forecast of aqueous systems (reservoirs, lakes and seas). In constructing these mathematical models as research tools classic apparatus of differential equations (both ODE and PDE) as well as apparatus of mat
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4

Leon, L. F., D. Lam, W. Schertzer, and D. Swayne. "Lake and climate models linkage: a 3-D hydrodynamic contribution." Advances in Geosciences 4 (August 9, 2005): 57–62. http://dx.doi.org/10.5194/adgeo-4-57-2005.

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Abstract. Under a Canadian Foundation for Climate and Atmospheric Sciences (CFCAS) project, targeted to study the feasibility to link regional climate models with lake models, one of the tasks was to consider such a coupling in large lakes. The objective is to provide detailed information on temperature and circulation distributions of the lake to take into account the spatial variability for temperature and the heat exchange through the water's surface. The major contribution of this work is focused on realistic representation of the heat fluxes and temperature distributions to and from lakes
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5

Leshchinskii, L. A., I. G. Rusyak, S. B. Ponomarev, and A. G. Petrov. "Algorithm for construction of mathematical models of coronary circulation disorders." Biomedical Engineering 33, no. 4 (July 1999): 163–66. http://dx.doi.org/10.1007/bf02385333.

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6

Cai, Xiao, Boyun Guo, Qingfeng Guo, and Hongwei Jiang. "Mathematical Simulation of Lost Circulation in Fracture and Its Control." Geofluids 2021 (March 12, 2021): 1–14. http://dx.doi.org/10.1155/2021/6691385.

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Abstract (sommario):
Lost circulation has been one of the major problems that impede efficient and cost-saving drilling operations. The nature of lost circulation and its control is not yet fully understood. A method to characterize the mud loss in fracture and the plugging process of lost circulation materials is highly desired to obtain a thorough understanding of mud losses in fracture and provide reference for lost circulation control. This paper presents an easy-to-use method to identify types of lost circulation in fracture and the corresponding control. Three analytical models are presented based on three l
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7

Victorov, Alexey S., and Olga N. Trapeznikova. "Stochastic Models Of Dynamic Balance State For The Morphological Patterns Of Cryolithozone Landscapes." GEOGRAPHY, ENVIRONMENT, SUSTAINABILITY 12, no. 3 (October 3, 2019): 6–15. http://dx.doi.org/10.24057/2071-9388-2018-68.

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The paper deals with mathematical modeling of a morphological pattern for a broad spectrum of cryolithozone landscapes in a state of a dynamic balance. The state of the dynamic balance means that all the elements of this morphological pattern are in continuous changing while its general parameters as a whole are stable. Two contradirectional processes at the same territory is a precondition for a state of dynamic balance.We developed a morphological pattern model for lacustrine thermokarst plains with fluvial erosion on the base of the mathematical morphology of landscape using the random proc
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8

John, V. Chandy, M. G. Satish, and D. H. Waller. "Development and evaluation of numerical hydrodynamic models for small lakes and reservoirs." Canadian Journal of Civil Engineering 22, no. 2 (April 1, 1995): 270–82. http://dx.doi.org/10.1139/l95-036.

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The response of a small lake or reservoir system to wind and streamflow forcing is examined in this paper using a numerical model based on Navier–Stokes equation and a numerical hydraulic model using the segment-node approach. The main mass transport in the lake has been found to be due to wind; the circulation caused by stream inflow and outflow of the lake contributes a relatively small fraction of the total transport. The above-mentioned models have been applied to different wind regimes and constant or variable inflow–outflow conditions of Long Lake (Nova Scotia). Comparisons are made betw
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9

Ziemińska-Stolarska, Aleksandra, and Jerzy Skrzypski. "Review of Mathematical Models of Water Quality." Ecological Chemistry and Engineering S 19, no. 2 (January 1, 2012): 197–211. http://dx.doi.org/10.2478/v10216-011-0015-x.

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Abstract (sommario):
Review of Mathematical Models of Water Quality Water is one of the main elements of the environment which determine the existence of life on the Earth, affect the climate and limit the development of civilization. Water resources management requires constant monitoring in terms of its qualitative-quantitative values. Proper assessment of the degree of water pollution is the basis for conservation and rational utilization of water resources. Water quality in lakes and dams is undergoing continuous degradation caused by natural processes resulting from eutrophication and due to anthropogenic rea
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10

Sudakov, I. A., and S. A. Vakulenko. "Mathematical modelling of positive carbon-climate feedback: permafrost lake methane emission case." Earth System Dynamics Discussions 3, no. 1 (April 4, 2012): 235–57. http://dx.doi.org/10.5194/esdd-3-235-2012.

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Abstract. The permafrost methane emission problem is in the focus of attention of different climate models. We present new approach to the permafrost methane emission modeling. The tundra permafrost lakes is potential source of methane emission. Typically, tundra landscape contains a number of small lakes and warming leads to lake extension. We are making use of this process by the nonlinear theory of phase transitions. We find that climate catastrophe possibility depends on a feedback coefficient connecting the methane concentration in atmosphere and temperature, and on the tundra permafrost
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11

Guven, Basak, and Alan Howard. "A review and classification of the existing models of cyanobacteria." Progress in Physical Geography: Earth and Environment 30, no. 1 (January 2006): 1–24. http://dx.doi.org/10.1191/0309133306pp464ra.

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Bloom-forming and toxin-producing cyanobacteria remain a persistent nuisance across the world. Modelling of cyanobacteria in freshwaters is an important tool for understanding their population dynamics and predicting bloom occurrence in lakes and rivers. In this paper existing key models of cyanobacteria are reviewed, evaluated and classified. Two major groups emerge: deterministic mathematical and artificial neural network models. Mathematical models can be further subcategorized into those models concerned with impounded water bodies and those concerned with rivers. Most existing models focu
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12

Ojimadu, U. H., A. O. Oluwole, A. O. Olasupo, M. A. Usman, T. J. Odule, O. O. Olubanwo, O. Oyewole, and M. A. Ayodele. "MATHEMATICAL ANALYSIS OF ELECTROPHYSIOLOGICAL CARDIAC TISSUE MEMBRANE MODELS." FUDMA JOURNAL OF SCIENCES 6, no. 2 (May 11, 2022): 138–43. http://dx.doi.org/10.33003/fjs-2022-0602-931.

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This paper presents some cardiac electrophysiological models. Proper mathematical analysis was done on the proposed models. In the cause of the analysis, several assumptions were made which helped in providing a parallel platform for making qualitative solutions so as to reduce any form of bias. Graphical analysis was adopted in solving the cardiac electrophysiological models using conservation and dispersions equations. The results obtained were derived from computer simulation by observing ring lengths on a valid restitution curve. The restitution curves helps us to subject three different t
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13

Leon, Luis F., Jason P. Antenucci, Yerubandi R. Rao, and Craig McCrimmon. "Summary performance of the Estuary and Lake Computer Model (ELCOM): application in the Laurentian and other Great Lakes." Water Quality Research Journal 47, no. 3-4 (August 1, 2012): 252–67. http://dx.doi.org/10.2166/wqrjc.2012.022.

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Abstract (sommario):
The use of sophisticated three-dimensional (3D) hydrodynamic models is often required to simulate the spatial and temporal variability of water quality in large lakes. Recently, coupled lake–atmosphere models have also been developed to resolve the spatial distribution of the thermal behavior in lakes and to assess the feedback mechanisms at the air–water interface. In the studies summarized in this paper, the 3D Estuary and Lake Computer Model (ELCOM) acts as the hydrodynamic driver that provides temperature, salinity, and the transport fields that, if coupled with the Computational Aquatic E
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14

Novitsky, Nikolay N. "Mathematical models and methods for analyzing flow properties in hydraulic circuits with closed circulation circuits." E3S Web of Conferences 219 (2020): 01004. http://dx.doi.org/10.1051/e3sconf/202021901004.

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The article is devoted to the problems of calculating the distribution of flow quality parameters over the elements of the hydraulic system. The main attention is paid to the problem of such a calculation in the presence of closed circulation circuits in the system, when traditional methods and algorithms become ineffective. Mathematical models of the distribution of quality parameters are given, the results of the analysis of their properties in the presence of closed circulation circuits are presented. Against the background of the analysis of the applicability of general mathematical method
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15

Rzaev, E. A., S. R. Rasulov, and A. G. Rzaev. "Developing mathematical models for cardiovascular system functional assessments." Kazan medical journal 96, no. 4 (August 15, 2015): 681–85. http://dx.doi.org/10.17750/kmj2015-681.

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Aim. Development of mathematical models of circulation (considering anomaly in hemorheology) allowing to diagnose functional condition of vessels/cardiovascular system.
 Methods. Echocardiography, mathematical modeling, sedimentation and rheology laws, human mechanics and physiology methods were used for developing mathematical models.
 Results. The following mathematical models were obtained: for determination of colloid dispersive blood system viscosity, considering concentration of dispersive phase (blood cells) and blood structure formation; velocity of inconvenient blood cells s
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16

Perrone, Michela, Massimiliano Scalici, Luisa Conti, David Moravec, Jan Kropáček, Maria Sighicelli, Francesca Lecce, and Marco Malavasi. "Water Mixing Conditions Influence Sentinel-2 Monitoring of Chlorophyll Content in Monomictic Lakes." Remote Sensing 13, no. 14 (July 8, 2021): 2699. http://dx.doi.org/10.3390/rs13142699.

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Prompt estimation of phytoplankton biomass is critical in determining the ecological quality of freshwaters. Remote Sensing (RS) may provide new opportunities to integrate with situ traditional monitoring techniques. Nonetheless, wide regional and temporal variability in freshwater optical constituents makes it difficult to design universally applicable RS protocols. Here, we assessed the potential of two neural networks-based models, namely the Case 2 Regional CoastColour (C2RCC) processor and the Mixture Density Network (MDN), applied to MSI Sentinel-2 data for monitoring Chlorophyll (Chl) c
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17

Brown, Laura C., and Claude R. Duguay. "The response and role of ice cover in lake-climate interactions." Progress in Physical Geography: Earth and Environment 34, no. 5 (July 8, 2010): 671–704. http://dx.doi.org/10.1177/0309133310375653.

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This paper reviews the current state of knowledge pertaining to the interactions of lake ice and climate. Lake ice has been shown to be sensitive to climate variability through observations and modelling, and both long-term and short-term trends have been identified from ice records. Ice phenology trends have typically been associated with variations in air temperatures while ice thickness trends tend to be associated more to changes in snow cover. The role of ice cover in the regional climate is less documented and with longer ice-free seasons possible as a result of changing climate conditio
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18

Reed-Andersen, Tara, Stephen R. Carpenter, Dianna K. Padilla, and Richard C. Lathrop. "Predicted impact of zebra mussel (Dreissena polymorpha) invasion on water clarity in Lake Mendota." Canadian Journal of Fisheries and Aquatic Sciences 57, no. 8 (August 1, 2000): 1617–26. http://dx.doi.org/10.1139/f00-094.

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Lake Mendota, which is plagued by periodic cyanobacterial blooms, is typical of many lakes in the Laurentian Great Lakes region that are vulnerable to zebra mussels (Dreissena polymorpha) but have yet to be invaded. We coupled removal estimates with chlorophyll production estimates in a dynamic model to predict the likely impact of mussel-mediated removal of phytoplankton on water clarity across a range of hypothetical zebra mussel densities. Models were fit to chlorophyll and temperature data collected biweekly from Lake Mendota during 1977-1993. When we assumed daily epilimnetic circulation,
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19

Moldasheva, R., A. Ismailova, and A. Zadagali. "SIGNS OF STABILITY OF AQUATIC ECOSYSTEMS IN MATHEMATICAL MODELS." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 85, no. 3 (September 15, 2022): 43–48. http://dx.doi.org/10.47533/2020.1606-146x.178.

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Abstract (sommario):
To date, various data on water resources have been accumulated, but hydrobiological and hydrochemical indicators remain available to assess the current state of aquatic ecosystems, which can be the basis for assessing the environmental situation within the water body. Systematization of multiyear and diverse data on the lakes and rivers of the country, the use of mathematical tools for assessing and forecasting the state of the aquatic ecosystem is impossible without the use of information and communication technologies. Quality mathematical modeling of aquatic ecosystems and the development o
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20

Koutitas, Christopher, and Maria Gousidou-Koutita. "A comparative study of three mathematical models for wind-generated circulation in coastal areas." Coastal Engineering 10, no. 2 (July 1986): 127–38. http://dx.doi.org/10.1016/0378-3839(86)90013-x.

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21

Brands, Judith, Hans Vink, and Jurgen W. G. E. Van Teeffelen. "Comparison of four mathematical models to analyze indicator-dilution curves in the coronary circulation." Medical & Biological Engineering & Computing 49, no. 12 (November 18, 2011): 1471–79. http://dx.doi.org/10.1007/s11517-011-0845-9.

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22

Kumar, Aadesh, Dr Ram avtar, and Dr Deepti Seth. "Mathematical Modeling of Oxygen Transport in Retinal Layers." International Journal of Emerging Science and Engineering 6, no. 6 (October 25, 2019): 1–4. http://dx.doi.org/10.35940/ijese.f2304.106619.

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The retina contains maximum oxygen ( consumption making it particular valuneric to vascular in fults, diminishing oxygen and circulation of nutrients. The goel of this paper to develop a mathematical model for quantitative analysis of transportation of oxygen and consumption in each retinal layer. Such models allows us to predict the effect of qualitatative change in retinal vasculature on oxygen supply in retinal layers. A differential equation , which used in this paper describing how the oxygen transport and cosumpt by the retinal layers.
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23

Vieira, J. M. P., J. L. S. Pinho, N. Dias, D. Schwanenberg, and H. F. P. van den Boogaard. "Parameter estimation for eutrophication models in reservoirs." Water Science and Technology 68, no. 2 (July 1, 2013): 319–27. http://dx.doi.org/10.2166/wst.2013.248.

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Excessive eutrophication is a major water quality issue in lakes and reservoirs worldwide. This complex biological process can lead to serious water quality problems. Although it can be adequately addressed by applying sophisticated mathematical models, the application of these tools in a reservoir management context requires significant amounts of data and large computation times. This work presents a simple primary production model and a calibration procedure that can efficiently be used in operational reservoir management frameworks. It considers four state variables: herbivorous zooplankto
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24

Muñoz, Ángel G., Xiaosong Yang, Gabriel A. Vecchi, Andrew W. Robertson, and William F. Cooke. "A Weather-Type-Based Cross-Time-Scale Diagnostic Framework for Coupled Circulation Models." Journal of Climate 30, no. 22 (October 17, 2017): 8951–72. http://dx.doi.org/10.1175/jcli-d-17-0115.1.

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Abstract This study proposes an integrated diagnostic framework based on atmospheric circulation regime spatial patterns and frequencies of occurrence to facilitate the identification of model systematic errors across multiple time scales. To illustrate the approach, three sets of 32-yr-long simulations are analyzed for northeastern North America and for the March–May season using the Geophysical Fluid Dynamics Laboratory’s Low Ocean–Atmosphere Resolution (LOAR) and Forecast-Oriented Low Ocean Resolution (FLOR) coupled models; the main difference between these two models is the horizontal reso
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25

Fenocchi, Andrea, Gabriella Petaccia, and Stefano Sibilla. "Modelling flows in shallow (fluvial) lakes with prevailing circulations in the horizontal plane: limits of 2D compared to 3D models." Journal of Hydroinformatics 18, no. 6 (May 14, 2016): 928–45. http://dx.doi.org/10.2166/hydro.2016.033.

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The numerical modelling of circulations in shallow lakes is a relevant tool for all environmental applications in which flow advection processes are of interest, e.g. for studies on nutrients, microorganisms, pollutants and sediment dynamics. While three-dimensional (3D) models are needed to properly describe the flow fields of basins with the main circulations in the vertical plane, two-dimensional (2D) models are commonly deemed to yield adequate results for lakes with prevailing horizontal circulations. However, the depth-averaged approximation is more limiting for wind-driven flows than fo
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26

Bueno, Guilherme Wolff, Dominique Bureau, James Owen Skipper-Horton, Rodrigo Roubach, Flávia Tavares de Mattos, and Francisco Ernesto Moreno Bernal. "Mathematical modeling for the management of the carrying capacity of aquaculture enterprises in lakes and reservoirs." Pesquisa Agropecuária Brasileira 52, no. 9 (September 2017): 695–706. http://dx.doi.org/10.1590/s0100-204x2017000900001.

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Abstract: Flooded areas of reservoirs and artificial lakes have been increasingly used for fish production; however, the waste generated by aquaculture has become a concern for the sustainable development of this activity. One of the main strategies adopted by management and regulatory agencies is the use of hydrodynamic models that calculate the carrying or nutrient load capacity of a particular water body and the effect of fish farming. These models are precise in the development of optimal strategies for feeding and waste calculation. This review paper addresses this topic and describes the
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27

Bennington, Val, Michael Notaro, and Kathleen D. Holman. "Improving Climate Sensitivity of Deep Lakes within a Regional Climate Model and Its Impact on Simulated Climate." Journal of Climate 27, no. 8 (April 10, 2014): 2886–911. http://dx.doi.org/10.1175/jcli-d-13-00110.1.

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Abstract Regional climate models aim to improve local climate simulations by resolving topography, vegetation, and land use at a finer resolution than global climate models. Lakes, particularly large and deep lakes, are local features that significantly alter regional climate. The Hostetler lake model, a version of which is currently used in the Community Land Model, performs poorly in deep lakes when coupled to the regional climate of the International Centre for Theoretical Physics (ICTP) Regional Climate Model, version 4 (RegCM4). Within the default RegCM4 model, the lake fails to properly
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28

Schwab, D. J., and K. W. Bedford. "Initial Implementation of the Great Lakes Forecasting System: A Real-Time System for Predicting Lake Circulation and Thermal Structure." Water Quality Research Journal 29, no. 2-3 (May 1, 1994): 203–20. http://dx.doi.org/10.2166/wqrj.1994.014.

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Abstract The Great Lakes Forecasting System is a real-time coastal prediction system for forecasting, on a daily basis, the physical state of each of the Great Lakes for the next two days. Forecast variables include the surface water level fluctuation, horizontal and vertical structure of temperature and currents, and turbulence. The system uses meteorological observations, satellite data, and forecasts from numerical weather prediction models as input. Lake circulation and thermal structure are calculated using a three-dimensional hydrodynamic prediction model. Output from the model is used t
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29

Carley, D. W., and D. C. Shannon. "A minimal mathematical model of human periodic breathing." Journal of Applied Physiology 65, no. 3 (September 1, 1988): 1400–1409. http://dx.doi.org/10.1152/jappl.1988.65.3.1400.

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Numerous mathematical models of periodic breathing (PB) currently exist. These models suggest mechanisms that may underlie many known causes of PB. However, each model that has been shown to simulate PB under reasonable conditions contains greater than 15 physiological parameters. Because some parameters exhibit a wide range of values in a population, such simulations cannot test a model's ability to account for the breathing patterns of individuals. Furthermore it is impractical to perform a direct experimental validation study that would require the estimation of each of 15 or more parameter
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30

Run-Peng, Qiao, He Jun-Neng, Liang Qian-Chao, Yang Fan, and Fu Da-Wang. "Comparative analysis of SOFC-MGT top-level and new bottom-level system performance." E3S Web of Conferences 271 (2021): 04013. http://dx.doi.org/10.1051/e3sconf/202127104013.

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In order to make the SOFC-MGT system more widely used, the mathematical simulation models of the SOFC-MGT top-level circulatory system and the new bottom circulatory system were first established, and then the performance of the two systems was analyzed and compared using Matlab/Simulink simulation software. The research results show that the output performance of the SOFC-MGT top-level circulation system is due to the new bottom-level circulation system, and the stack output performance of the two systems is not much different.
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Charusombat, Umarporn, Ayumi Fujisaki-Manome, Andrew D. Gronewold, Brent M. Lofgren, Eric J. Anderson, Peter D. Blanken, Christopher Spence, et al. "Evaluating and improving modeled turbulent heat fluxes across the North American Great Lakes." Hydrology and Earth System Sciences 22, no. 10 (October 26, 2018): 5559–78. http://dx.doi.org/10.5194/hess-22-5559-2018.

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Abstract. Turbulent fluxes of latent and sensible heat are important physical processes that influence the energy and water budgets of the North American Great Lakes. These fluxes can be measured in situ using eddy covariance techniques and are regularly included as a component of lake–atmosphere models. To help ensure accurate projections of lake temperature, circulation, and regional meteorology, we validated the output of five algorithms used in three popular models to calculate surface heat fluxes: the Finite Volume Community Ocean Model (FVCOM, with three different options for heat flux a
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32

Jones, Michael L., Brian J. Shuter, Yingming Zhao, and Jason D. Stockwell. "Forecasting effects of climate change on Great Lakes fisheries: models that link habitat supply to population dynamics can help." Canadian Journal of Fisheries and Aquatic Sciences 63, no. 2 (February 1, 2006): 457–68. http://dx.doi.org/10.1139/f05-239.

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Abstract (sommario):
Future changes to climate in the Great Lakes may have important consequences for fisheries. Evidence suggests that Great Lakes air and water temperatures have risen and the duration of ice cover has lessened during the past century. Global circulation models (GCMs) suggest future warming and increases in precipitation in the region. We present new evidence that water temperatures have risen in Lake Erie, particularly during summer and winter in the period 1965–2000. GCM forecasts coupled with physical models suggest lower annual runoff, less ice cover, and lower lake levels in the future, but
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33

Uchiyama, Tadayasu, Bruce P. Finney, and Milo D. Adkison. "Effects of marine-derived nutrients on population dynamics of sockeye salmon (Oncorhynchus nerka)." Canadian Journal of Fisheries and Aquatic Sciences 65, no. 8 (August 2008): 1635–48. http://dx.doi.org/10.1139/f08-085.

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The effects of marine-derived nutrients (MDN) on the productivity of sockeye salmon ( Oncorhynchus nerka ) stocks in Alaska, USA, were examined through nitrogen stable isotope analysis of smolts and mathematical models of the sockeye stock–recruit relationship. Smolt δ15N was used to infer the degree to which smolts depend on MDN for their growth. We found that characteristics of sockeye nursery lakes and watersheds significantly affected the availability of MDN to juvenile sockeye. The magnitude of escapement and water residence time were the most important factors affecting the MDN availabil
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Medvinsky, Alexander B., Alexey V. Rusakov, Boris V. Adamovich, Tamara M. Mikheyeva, and Nailya I. Nurieva. "Determinism versus randomness in plankton dynamics: The analysis of noisy time series based on the recurrence plots." Russian Journal of Numerical Analysis and Mathematical Modelling 34, no. 4 (August 27, 2019): 187–96. http://dx.doi.org/10.1515/rnam-2019-0016.

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Abstract The quantitative analysis of recurrence plots while applied to mathematical models was shown to be an effective tool in recognizing a frontier between deterministic chaos and random processes. In nature, however, unlike mathematical models, deterministic processes are closely intertwined with random influences. As a result, the non-structural distributions of points on the recurrence plots, which are typical of random processes, are inevitably superimposed on the aperiodic structures characteristic of chaos. Taking into account that the stochastic impacts are an inherent feature of th
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Munroe, Jeffrey S., and Benjamin J. C. Laabs. "Multiproxy lacustrine records of post-glacial environmental change from the Uinta Mountains, Utah, USA." GSA Bulletin 132, no. 1-2 (May 2, 2019): 48–64. http://dx.doi.org/10.1130/b35056.1.

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Abstract Twenty-one sediment cores were obtained from 20 lakes in the Uinta Mountains, Utah, USA. Depth-age models were developed using 14C dating, and sediments were analyzed for loss-on-ignition (LOI), carbon-nitrogen ratio (C:N), and grain size distribution. Although some of these cores have been considered individually in previous studies, here the entire set of cores is evaluated collectively to identify consistent patterns, commonalities, and trends in the post-glacial interval. All lakes accumulated substantially greater amounts of submicron-size clastic material before ca. 9.5 ka BP. T
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36

Quarteroni, A., A. Manzoni, and C. Vergara. "The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications." Acta Numerica 26 (May 1, 2017): 365–590. http://dx.doi.org/10.1017/s0962492917000046.

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Mathematical and numerical modelling of the cardiovascular system is a research topic that has attracted remarkable interest from the mathematical community because of its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. In this review article we will address the two principal components of the cardiovascular system: arterial circulation and heart function. We will systematically describe all aspects of the problem, ranging from data imaging acquisition, stating the basic physical principles, analysing the associated mathematical models that com
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37

Papadimos, Dimitris, Kleoniki Demertzi, and Dimitris Papamichail. "Assessing Lake Response to Extreme Climate Change Using the Coupled MIKE SHE/MIKE 11 Model: Case Study of Lake Zazari in Greece." Water 14, no. 6 (March 15, 2022): 921. http://dx.doi.org/10.3390/w14060921.

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Lakes, either artificial or natural, are greatly important as a component in their catchments’ hydrology, but also as ecosystem service providers. However, due to climate change, they have begun to face numerous problems with their water quality and quantity. Furthermore, general circulation models (GCMs) show future climate change with a reduction in rainfall and increase in temperature. The aim of the current study is to present an application where GCMs and state-of-the-art hydrological modelling system MIKE SHE/MIKE 11 are combined for assessing the response of a Greek lake in terms of its
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38

Grzywacz, Robert. "Continuous mathematical models of airlift bioreactors: Families, affinity, diversity and modelling for single-substrate kinetics." Chemical and Process Engineering 33, no. 2 (June 1, 2012): 291–309. http://dx.doi.org/10.2478/v10176-012-0027-9.

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Continuous mathematical models of airlift bioreactors: Families, affinity, diversity and modelling for single-substrate kinetics This paper presents a method of describing an airlift bioreactor, in which biodegradation of a carbonaceous substrate described by single-substrate kinetics takes place. Eight mathematical models based on the assumption of liquid plug flow and axial dispersion flow through the riser and the downcomer in the reactor were proposed. Additionally, the impact of degassing zone with assumed complete mixing on the obtained results was analyzed. Calculations were performed f
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39

Thoma, M., K. Grosfeld, C. Mayer, and F. Pattyn. "Interaction between ice sheet dynamics and subglacial lake circulation: a coupled modelling approach." Cryosphere Discussions 3, no. 3 (September 29, 2009): 805–29. http://dx.doi.org/10.5194/tcd-3-805-2009.

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Abstract. Subglacial lakes in Antarctica influence to a large extent the flow of the ice sheet. In this study we use an idealised lake geometry to study this impact. We employ a) an improved three-dimensional full Stokes ice flow model with a nonlinear rheology, b) a three-dimensional fluid dynamics model with eddy diffusion to simulate basal mass balance, and c) a newly developed coupler to exchange boundary conditions between individual models. Different boundary conditions are applied over grounded ice and floating ice. This results in significantly increased temperatures within the ice on
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40

Gendelis, Staņislavs, and Andris Jakovičs. "APPLICATION OF MATHEMATICAL MODELS FOR THE SIMULATION OF THERMAL COMFORT CONDITIONS IN A LIVING ROOM." Environment. Technology. Resources. Proceedings of the International Scientific and Practical Conference 1 (June 18, 2005): 11. http://dx.doi.org/10.17770/etr2005vol1.2124.

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The paper deals with the distributions of temperature and averaged turbulent airflows in living rooms in 2D and 3D approximations using Ansys/Flotran and Ansys/CFX software respectively. The distributions are calculated depending on the placement and temperature of heaters, heat transfer coefficients of the building structures and ventilation conditions. The authors analyse the influence of these factors on the air circulation and the related heat flows through building structures. The thermal balance of a room and its dependence on various external factors is also considered. As thermal comfo
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41

McBean, E., and H. Motiee. "Assessment of impact of climate change on water resources: a long term analysis of the Great Lakes of North America." Hydrology and Earth System Sciences 12, no. 1 (February 11, 2008): 239–55. http://dx.doi.org/10.5194/hess-12-239-2008.

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Abstract. In the threshold of the appearance of global warming from theory to reality, extensive research has focused on predicting the impact of potential climate change on water resources using results from Global Circulation Models (GCMs). This research carries this further by statistical analyses of long term meteorological and hydrological data. Seventy years of historical trends in precipitation, temperature, and streamflows in the Great Lakes of North America are developed using long term regression analyses and Mann-Kendall statistics. The results generated by the two statistical proce
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42

White, Ronald J. "A note regarding the mathematical treatment of a class of steady-state compartmental models of the circulation." Physiological Reports 4, no. 17 (September 2016): e12945. http://dx.doi.org/10.14814/phy2.12945.

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43

Durga Prasad, G. V., G. Gopa Kishor, Manmohan Pandey, and Uday S. Dixit. "Numerical Simulations and Design Optimization of the PHT Loop of Natural Circulation BWR." Science and Technology of Nuclear Installations 2008 (2008): 1–12. http://dx.doi.org/10.1155/2008/690357.

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Abstract (sommario):
Mathematical modeling and numerical simulation of natural circulation boiling water reactor (NCBWR) are very important in order to study its performance for different designs and various off-design conditions and for design optimization. In the present work, parametric studies of the primary heat transport loop of NCBWR have been performed using lumped parameter models and RELAP5/MOD3.4 code. The lumped parameter models are based on the drift flux model and homogeneous equilibrium mixture (HEM) model of two-phase flow. Numerical simulations are performed with both models. Compared to the resul
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Kozlov, V. A., O. Yu Dmitrieva, G. P. Itkin, A. S. Ivanov, A. P. Kuleshov, E. A. Volkova, and T. N. Govorova. "The optimization of an accomodation in the thoracic cavity child the axial pump don-3 (the mathematical model research)." Russian Journal of Transplantology and Artificial Organs 20, no. 3 (September 17, 2018): 40–44. http://dx.doi.org/10.15825/1995-1191-2018-3-40-44.

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We have developed and tested a technique for constructing 3D models of the chest and thoracic cavity organs. Due to the obtained results, the mathematical model was successfully used in the development of classification of variants of placement of implantable auxiliary circulation systems, and also for building 3D models for other purposes. In particular, the patients were graded according to the variants of placing the children’s axial pump DON-3 inside the patient’s chest cavity. Based on the data, the first fitting of the DON-3 pump was performed on a patient aged 7 years.
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45

Thoma, M., K. Grosfeld, C. Mayer, and F. Pattyn. "Interaction between ice sheet dynamics and subglacial lake circulation: a coupled modelling approach." Cryosphere 4, no. 1 (January 8, 2010): 1–12. http://dx.doi.org/10.5194/tc-4-1-2010.

Testo completo
Abstract (sommario):
Abstract. Subglacial lakes in Antarctica influence to a large extent the flow of the ice sheet. In this study we use an idealised lake geometry to study this impact. We employ a) an improved three-dimensional full-Stokes ice flow model with a nonlinear rheology, b) a three-dimensional fluid dynamics model with eddy diffusion to simulate the basal mass balance at the lake-ice interface, and c) a newly developed coupler to exchange boundary conditions between the two individual models. Different boundary conditions are applied over grounded ice and floating ice. This results in significantly inc
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46

Belov, Alexander, Dmitry Shaforost, and Viktor Chebotarev. "Mathematical Models for Assessing the Thermal Engineering Reliability of Boiler Units of Power Complexes." Известия высших учебных заведений. Электромеханика 64, no. 6 (2021): 88–93. http://dx.doi.org/10.17213/0136-3360-2021-6-88-93.

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Abstract (sommario):
The analysis is carried out and the definitions of the concept of thermal engineering reliability, the determining parameter and the determining function of boiler units, are given. A classification has been developed for the determining parameters of steam and hot water boilers by level in the chain of cause-and-effect relationships in the event of a thermal failure. It is proposed to divide the determining parameters and functions of boilers according to their spatial localization into integral and local. A lot of models for defining functions with different mathematical properties (for exam
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47

Yang, Mou, Yingfeng Meng, Gao Li, Yongjie Li, Ying Chen, Xiangyang Zhao, and Hongtao Li. "Estimation of Wellbore and Formation Temperatures during the Drilling Process under Lost Circulation Conditions." Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/579091.

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Abstract (sommario):
Significant change of wellbore and surrounding formation temperatures during the whole drilling process for oil and gas resources often leads by annulus fluid fluxes into formation and may pose a threat to operational security of drilling and completion process. Based on energy exchange mechanisms of wellbore and formation systems during circulation and shut-in stages under lost circulation conditions, a set of partial differential equations were developed to account for the transient heat exchange process between wellbore and formation. A finite difference method was used to solve the transie
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48

Samoilov, A. M., A. A. Sataev, A. A. Blokhin, and V. V. Ivanov. "Development of circuit model with natural circulation of coolant under conditions of ship motion." Vestnik IGEU, no. 6 (December 28, 2021): 19–26. http://dx.doi.org/10.17588/2072-2672.2021.6.019-026.

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Abstract (sommario):
Safety is the key requirement to any nuclear power installation. Various factors affect safety during operation of the nuclear power installation. These factors are difficult to study due to the high economic costs. This problem can be solved by developing prototype models to conduct the research of many complex processes. Dynamic impact on the ship installation is one of these processes. The most significant impact is the impact on the natural circulation of the coolant, that is one of the basic emergency safety systems. Also, it is a promising way to ensure movement in the main circulation c
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49

Reis, Renata C. dos, Ivano A. Devilla, Diego P. R. Ascheri, Ana C. O. Servulo, and Athina B. M. Souza. "Kinetics of drying of basil leaves (Ocimum basilicum L.) in the infrared." Revista Brasileira de Engenharia Agrícola e Ambiental 16, no. 12 (December 2012): 1346–52. http://dx.doi.org/10.1590/s1415-43662012001200012.

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Abstract (sommario):
The objective of this paper was to model the drying curves of the leaves of basil (Ocimum basilicum L.) in the infrared at temperatures of 50, 60, 70 and 80 ºC and to evaluate the influence of drying temperature on the color of dried leaves. Drying was conducted in infrared dryer with temperature and greenhouse air circulation. Experimental data were fitted to eight mathematical models. The magnitude of the coefficient of determination (R²), the mean relative error (P), the estimated mean error (SE) and chisquare test (χ2) were used to verify the degree of fitness of the models. From the study
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Lopes, Sarah Meier, Nicole Machuca Brassac De Arruda, and Thomaz Aurélio Pagioro. "STUDY OF THE STRATIFICATION PROCESS AT THE RESERVOIR OF THE HYDROELECTRIC POWER PLANT GOV. PEDRO VIRIATO PARIGOT DE SOUZA (CAPIVARI-CACHOEIRA), PARANÁ, BRAZIL." Eclética Química Journal 43, no. 2 (August 23, 2018): 23. http://dx.doi.org/10.26850/1678-4618eqj.v43.2.2018.p23-31.

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Abstract (sommario):
The study of the stratification processes in reservoirs is important because they happen along with several physical and chemical changes in the water, as in the distribution of dissolved gases and nutrients. The aim of this work was to study the stratification process of the Capivari-Waterfall Hydroelectric Power Plant, based on the data of the vertical profiles of dissolved oxygen and temperature, as well as the comparison of them with the calculation of Froude's Densimetric Number, and reservoir residence time. The data used are part of the self-monitoring program carried out by COPEL. Thes
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