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1

Smith, D. J., E. A. Gaffney, and J. R. Blake. "Mathematical modelling of cilia-driven transport of biological fluids." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2108 (2009): 2417–39. http://dx.doi.org/10.1098/rspa.2009.0018.

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Cilia-driven flow occurs in the airway surface liquid, in the female and male reproductive tracts and enables symmetry-breaking in the embryonic node. Viscoelastic rheology is found in healthy states in some systems, whereas in others may characterise disease, motivating the development of mathematical models that take this effect into account. We derive the fundamental solution for linear viscoelastic flow, which is subsequently used as a basis for slender-body theory. Our numerical algorithm allows efficient computation of three-dimensional time-dependent flow, bending moments, power and par
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2

Purwati, Endah, and Sugiyanto Sugiyanto. "Pengembangan Model Matematika SIRD (Susceptibles-Infected-Recovery-Deaths) Pada Penyebaran Virus Ebola." Jurnal Fourier 5, no. 1 (2016): 23. http://dx.doi.org/10.14421/fourier.2016.51.23-34.

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Ebola is a deadly disease caused by a virus and is spread through direct contact with blood or body fluids such as urine, feces, breast milk, saliva and semen. In this case, direct contact means that the blood or body fluids of patients were directly touching the nose, eyes, mouth, or a wound someone open.
 In this paper examined two mathematical models SIRD (Susceptibles-Infected-Recovery-Deaths) the spread of the Ebola virus in the human population. Both the mathematical model SIRD on the spread of the Ebola virus is a model by Abdon A. and Emile F. D. G. and research development model.
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3

Pietribiasi, Mauro, Jacek Waniewski, and John K. Leypoldt. "Mathematical modelling of bicarbonate supplementation and acid-base chemistry in kidney failure patients on hemodialysis." PLOS ONE 18, no. 2 (2023): e0282104. http://dx.doi.org/10.1371/journal.pone.0282104.

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Acid-base regulation by the kidneys is largely missing in end-stage renal disease patients undergoing hemodialysis (HD). Bicarbonate is added to the dialysis fluid during HD to replenish the buffers in the body and neutralize interdialytic acid accumulation. Predicting HD outcomes with mathematical models can help select the optimal patient-specific dialysate composition, but the kinetics of bicarbonate are difficult to quantify, because of the many factors involved in the regulation of the bicarbonate buffer in bodily fluids. We implemented a mathematical model of dissolved CO2 and bicarbonat
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4

KORNAEVA, E. P., A. V. KORNAEV, I. N. STEBAKOV, S. G. POPOV, D. D. STAVTSEV, and V. V. DREMIN. "CONCEPT OF A MECHATRONIC INSTALLATION FOR RESEARCHING THE RHEOLOGICAL PROPERTIES OF PHYSIOLOGICAL FLUIDS." Fundamental and Applied Problems of Engineering and Technology, no. 1 (2021): 83–95. http://dx.doi.org/10.33979/2073-7408-2021-345-1-83-95.

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The properties of physiological fluids, blood primarily, contain important information about the state of a body. This article deals with the development of a new portable device of inertial viscometer for the physiological fluids. Based on the analysis of mathematical and simulation models of viscous media flows in capillaries, recommendations for the choice of design parameters are formulated. Processing the data of a video capillaroscopy for the intralipid flow under conditions close to the conditions for measuring blood viscosity showed the possibility of using the laser speckle contrast i
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5

Sankar, D. S., and Yazariah Yatim. "Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries." Abstract and Applied Analysis 2012 (2012): 1–34. http://dx.doi.org/10.1155/2012/235960.

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Pulsatile flow of blood in narrow tapered arteries with mild overlapping stenosis in the presence of periodic body acceleration is analyzed mathematically, treating it as two-fluid model with the suspension of all the erythrocytes in the core region as non-Newtonian fluid with yield stress and the plasma in the peripheral layer region as Newtonian. The non-Newtonian fluid with yield stress in the core region is assumed as (i) Herschel-Bulkley fluid and (ii) Casson fluid. The expressions for the shear stress, velocity, flow rate, wall shear stress, plug core radius, and longitudinal impedance t
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6

Sudi Mungkasi. "Modelling And Simulation of Topical Drug Diffusion in The Dermal Layer of Human Body." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 86, no. 2 (2021): 39–49. http://dx.doi.org/10.37934/arfmts.86.2.3949.

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We consider the problem of drug diffusion in the dermal layer of human body. Two existing mathematical models of the drug diffusion problem are recalled. We obtain that the existing models lead to inconsistent equations for the steady state condition. We also obtain that solutions to the existing models are unrealistic for some cases of the unsteady state condition, because negative drug concentrations occur due to the inappropriate assumption of the model. Therefore, in this paper, we propose a modified mathematical model, so that the model is consistent, and the solution is nonnegative for b
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7

Khapalov, Alexander. "The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation." International Journal of Applied Mathematics and Computer Science 23, no. 2 (2013): 277–90. http://dx.doi.org/10.2478/amcs-2013-0021.

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We introduce and investigate the well-posedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, typically associated with low Reynolds numbers. It is assumed that the swimmer’s body consists of finitely many subsequently connected parts, identified with the fluid they occupy, linked by rotational and elastic Hooke forces. Models like this are of interest in biological and engineering applications dealing with the study and design of propulsion systems in fluids.
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8

Vispute, Devarsh M., Prem K. Solanki, and Yoed Rabin. "Large surface deformation due to thermo-mechanical effects during cryopreservation by vitrification – mathematical model and experimental validation." PLOS ONE 18, no. 3 (2023): e0282613. http://dx.doi.org/10.1371/journal.pone.0282613.

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This study presents a simplified thermal-fluids (TF) mathematical model to analyze large surface deformations in cryoprotective agents (CPA) during cryopreservation by vitrification. The CPA deforms during vitrification due to material flow caused by the combined effects of thermal gradients within the domain, thermal contraction due to temperature, and exponential increase in the viscosity of the CPA as it is cooled towards glass transition. While it is well understood that vitrification is associated with thermo-mechanical stress, which might lead to structural damage, those large deformatio
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9

Yakovlev, A. A., S. G. Postupaeva, V. N. Grebennikov, and N. V. Fedorova. "DEVELOPMENT OF TECHNICAL SYSTEMS BASED ON HEURISTIC MODELING OF THE PHYSICAL OPERATION PRINCIPLE." IZVESTIA VOLGOGRAD STATE TECHNICAL UNIVERSITY, no. 8(243) (August 28, 2020): 83–86. http://dx.doi.org/10.35211/1990-5297-2020-8-243-83-86.

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A logical-mathematical model has been developed to represent the physical principles of the operation of technical systems with a fluid and gas working body. Example of modeling a gas turbine twin-shaft installation. Heuristic modification methods for developing improved models of the physical principle of action are proposed.
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10

Knezevic, Darko, Aleksandar Milasinovic, Zdravko Milovanovic, and Sasa Lalos. "The influence of thermodynamic state of mineral hydraulic oil on flow rate through radial clearance at zero overlap inside the hydraulic components." Thermal Science 20, suppl. 5 (2016): 1461–71. http://dx.doi.org/10.2298/tsci16s5461k.

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In control hydraulic components (servo valves, LS regulators, etc.) there is a need for precise mathematical description of fluid flow through radial clearances between the control piston and body of component at zero overlap, small valve opening and small lengths of overlap. Such a mathematical description would allow for a better dynamic analysis and stability analysis of hydraulic systems. The existing formulas in the literature do not take into account the change of the physical properties of the fluid with a change of thermodynamic state of the fluid to determine the flow rate through rad
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11

Guyton, A. C. "Long-term arterial pressure control: an analysis from animal experiments and computer and graphic models." American Journal of Physiology-Regulatory, Integrative and Comparative Physiology 259, no. 5 (1990): R865—R877. http://dx.doi.org/10.1152/ajpregu.1990.259.5.r865.

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Long-term arterial pressure control is very different from acute control, because many of the acute control systems are overridden by a single long-term mechanism that has little to do with short-term control. This is the renal fluid volume mechanism for pressure control. It is based on a simple functional property of the kidney: as the arterial pressure rises, the kidney output of water and electrolytes increases dramatically. When the output rises above the net intake of water and electrolytes, negative body fluid balance occurs, causing both the body fluid volume and the pressure to decreas
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12

Eshetu, Dadi Gurmu, Kumsa Bole Boka, and Rao Koya Purnachandra. "A Mathematical Modelling of HIV/AIDS Transmission Dynamics with Optimal Control Strategy." International Journal of Mathematics And Computer Research 09, no. 04 (2021): 2237–54. https://doi.org/10.5281/zenodo.4698298.

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Human Immunodeficiency Virus is the causative agent of Acquired Immunodeficiency Syndrome. HIV can be transmitted to person through the exchange of a variety of body fluids from infected individuals, such as blood, breast milk, semen, and vaginal secretions. In this paper, mathematical model for HIV/AIDS transmission dynamics was formulated and analyze using the stability theory of differential equations.The basic reproduction number that represents the epidemic indicator is obtained by using next generation matrix.Both local and global stability of the disease free equilibrium and endemic equ
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13

FRIEDMAN, AVNER. "MATHEMATICAL ANALYSIS AND CHALLENGES ARISING FROM MODELS OF TUMOR GROWTH." Mathematical Models and Methods in Applied Sciences 17, supp01 (2007): 1751–72. http://dx.doi.org/10.1142/s0218202507002467.

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In the last four decades, various cancer models have been developed in which the evolution of the densities of cells (abnormal, normal, or dead) and the concentrations of biochemical species are described in terms of differential equations. In this paper, we deal with tumor models in which the tumor occupies a well-defined region in space; the boundary of this region is held together by the forces of cell-to-cell adhesion. We shall refer to such tumors as "solid" tumors, although they may sometimes consist of fluid-like tissue, such as in the case of brain tumors (e.g. gliomas) and breast tumo
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14

Sharma, Sunil Kumar, Rakesh Chandmal Sharma, Yeongil Choi, and Jaesun Lee. "Experimental and Mathematical Study of Flexible–Rigid Rail Vehicle Riding Comfort and Safety." Applied Sciences 13, no. 9 (2023): 5252. http://dx.doi.org/10.3390/app13095252.

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This paper analyses the dynamic behavior of a rail vehicle using experimental and simulation analysis on a multi-rigid–flex body model. The mathematical models are developed considering the car body, bogie frame, and wheel axle for rail vehicles of rigid–flexible and multi-rigid formulations, taking the car body as rigid for the rigid body analysis and the flexible car body for flex–rigid analysis. A finite element model of the car body was developed in ANSYS, and substructure and modal analyses were performed. The mathematical model is validated through an experiment conducted by the Research
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15

Meyer, Aurelien G. "Measuring Simplified Pore-Throat Angularity Using Automated Mathematical Morphology." SPE Journal 24, no. 01 (2018): 243–53. http://dx.doi.org/10.2118/194193-pa.

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Summary Fluid flow in sedimentary rocks is controlled mainly by the morphology of pore-connecting throats. Pore throats (PTs) typically exhibit diverse converging/diverging morphologies such as biconic, parabolic, or hyperbolic geometries. These different geometries are defined by variable opening angle, or angularity, between the throat walls from the narrowest point of the throat toward the pore body. Importantly, each of these geometries imposes different constraints on fluid flow. However, current pore-level flow models usually favor simple cylindrical or biconic throat morphologies, in pa
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16

Thomas, S. Randall, Pierre Baconnier, Julie Fontecave, et al. "SAPHIR: a physiome core model of body fluid homeostasis and blood pressure regulation." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1878 (2008): 3175–97. http://dx.doi.org/10.1098/rsta.2008.0079.

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We present the current state of the development of the SAPHIR project (a Systems Approach for PHysiological Integration of Renal, cardiac and respiratory function). The aim is to provide an open-source multi-resolution modelling environment that will permit, at a practical level, a plug-and-play construction of integrated systems models using lumped-parameter components at the organ/tissue level while also allowing focus on cellular- or molecular-level detailed sub-models embedded in the larger core model. Thus, an in silico exploration of gene-to-organ-to-organism scenarios will be possible,
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17

Obertyukh, Roman, Andrіі Slabkyі, Leonid Polishchuk, Oleksandr Povstianoi, Saule Kumargazhanova, and Maxatbek Satymbekov. "DYNAMIC AND MATHEMATICAL MODELS OF THE HYDROIMPULSIVE VIBRO-CUTTING DEVICE WITH A PRESSURE PULSE GENERATOR BULT INTO THE RING SPRING." Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska 12, no. 3 (2022): 54–58. http://dx.doi.org/10.35784/iapgos.3049.

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Structural calculation scheme of the hydropulse device for vibration cutting with built-in ring with pressure pulse generator (PPG) is considered. On the basis of the structural scheme and cyclogram of the working cycle of the device, its dynamic and mathematical models were developed, in which the hydraulic link is represented by a visco-elastic model of the working fluid (energy carrier) composed of the inertial elastic and dissipative elements (Kelvin-Foyga's body).
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18

Tanveer, Shakera, and V. P. Rathod. "Gravity flow of pulsatile blood through a porous medium under periodic body acceleration and magnetic field in an inclined tube." International Journal of Biomathematics 09, no. 02 (2016): 1650025. http://dx.doi.org/10.1142/s179352451650025x.

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Mathematical model for the pulsatile blood flow through a porous medium under the influence of periodic body acceleration for gravity flow along an inclined tube by considering blood as a couple stress, incompressible and electrically conducting fluid in the presence of magnetic field has been investigated. Analytical expressions for axial velocity, flow rate, fluid acceleration and shear stress are obtained by applying the Laplace and finite Hankel’s transforms. The velocity profiles for various values of Hartmann number, couple stress parameters and the angle of inclination are shown graphic
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19

Andreassen, S., and S. E. Rees. "Mathematical Models of Oxygen and Carbon Dioxide Storage and Transport: Interstitial Fluid and Tissue Stores and Whole-Body Transport." Critical Reviews in Biomedical Engineering 33, no. 3 (2005): 265–98. http://dx.doi.org/10.1615/critrevbiomedeng.v33.i3.20.

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20

Yudenkov, A. V., and A. M. Volodchenkov. "Stability of mathematical models of the main problems of the anisotropic theory of elasticity." Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 30, no. 1 (2020): 112–24. http://dx.doi.org/10.35634/vm200108.

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The boundary problems of the complex-variable function theory are effectively used while investigating equilibrium of homogeneous elastic mediums. The most complicated systems of the boundary value problems correspond to the case when an elastic body exhibits anisotropic properties. Anisotropy of the medium results in the drift of boundary conditions of the function that in general disrupts analyticity of the functions of interest. The paper studies systems of the boundary value problems with drift for analytic vectors corresponding to the primal elastic problems (first, second and mixed probl
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21

Griffith, Boyce E., and Neelesh A. Patankar. "Immersed Methods for Fluid–Structure Interaction." Annual Review of Fluid Mechanics 52, no. 1 (2020): 421–48. http://dx.doi.org/10.1146/annurev-fluid-010719-060228.

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Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales. Immersed methods provide mathematical and computational frameworks for modeling fluid–structure systems. These methods, which typically use an Eulerian description of the fluid and a Lagrangian description of the structure, can treat thin immersed boundaries and volumetric bodies, and they can model structures that are flexible or rigid or that move with prescribed deformational kinematics. Immersed formulations do not require body-fitted discretizations and thereby avoid the frequent grid regeneration tha
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22

Epstein, Yoram, and Lawrence E. Armstrong. "Fluid-Electrolyte Balance during Labor and Exercise: Concepts and Misconceptions." International Journal of Sport Nutrition 9, no. 1 (1999): 1–12. http://dx.doi.org/10.1123/ijsn.9.1.1.

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Body water and electrolyte balance are essential to optimal physiological function and health. During exercise, work, or high temperatures, a significant level of dehydration can develop, and the ratio of extracellular to intracellular fluid can change, despite an ample supply of water. Physical and cognitive performance are impaired at 1-2% dehydration, and the body can collapse when water loss approaches 7%. Because fluid needs and intakes vary, formulating one general guideline for fluid replacement is difficult. Knowing the amount of water lost in sweat may enable predicting fluid needs vi
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23

YASHINA, M. V., and M. T. ALEROEV. "ON PROBLEM OF PROPERTIES OPTIMIZING FOR VISCOELASTIC MATERIALS USING THE BEGLEY-TORVIK EQUATION." T-Comm 17, no. 8 (2023): 63–68. http://dx.doi.org/10.36724/2072-8735-2023-17-8-63-68.

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Recently, fractional calculus has been the focus of attention of many researchers in the field of science and technology, since a more detailed study of physical processes leads to the need to complicate the mathematical models that describe them, and, consequently, to the study of the behavior of solutions of differential equations containing, along with " ordinary", or "classical", derivative, also fractional. Processes of this kind can include: studies of continuous media with memory, fluid filtration in media with fractal geometry, physical aspects of stochastic transfer and diffusion, mat
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24

Velmisov, Petr A., and Andrey V. Ankilov. "Mathematical modeling in problems about dynamics and stability of elastic elements of wing profiles." Cybernetics and Physics, Volume 10, 2021, Number 3 (November 30, 2021): 201–12. http://dx.doi.org/10.35470/2226-4116-2021-10-3-201-212.

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The mathematical models describing the dynamics of elastic elements of wing structures and representing the initial-boundary value problems for systems of partial differential equations are proposed. The dynamics and stability of elastic elements of wings, flown around by a gas or liquid stream in a model of an incompressible medium, are investigated. To study the dynamics of elastic elements and a gas-liquid medium, both linear and nonlinear models of the mechanics of a solid deformable body and linear models of the mechanics of liquid and gas are used. On the basis of the constructed functio
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25

Yang, Lin Jia, and Yi Han Tao. "CFD-Based Calculation of Regular Transverse Wave Force in the Maneuvering Mathematical Modeling Group (MMG) Model." Applied Mechanics and Materials 380-384 (August 2013): 1716–20. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.1716.

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The accuracy of mathematical model has a great effect on the prediction of ships maneuverability. Wave disturbing force is an important element of the Maneuvering Mathematical Modeling Group (MMG). Building regression formula of wave disturbing force acting on the ship hull can not only increase ship mathematical models accuracy but also help to predict ships maneuverability. The wave force can be calculated by the Computational Fluid Dynamics (CFD) method, which is more accurate and economical. The 3D model of M/V YUKUN was established and the cut-cell mesh was made. A numerical wave tank was
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souza, Nikhil D. "Physics Based Animation Using Computer Graphics." INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT 08, no. 04 (2024): 1–5. http://dx.doi.org/10.55041/ijsrem30046.

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Physics-based animation is a multidisciplinary area that uses ideas from physics, computer science, and mathematics to create realistic and dynamic movements in virtual settings. The basic ideas and methods of physics-based animation are introduced in this research paper, with an emphasis on how mathematical models and physical laws are used to produce realistic motion in computer-generated images. To construct realistic virtual environments, key disciplines covered include fluid simulation, fabric simulation, rigid body dynamics, and soft body dynamics. The report highlights recent developmen
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27

Lamtiuhova, Svitlana. "R-Functions Method for the Mass Exchange Problem of a Cylindrical Body Formed by Lame Curve with a Viscous Incompressible Fluid." Mathematical and computer modelling. Series: Physical and mathematical sciences 25 (September 30, 2024): 107–13. http://dx.doi.org/10.32626/2308-5878.2024-25.107-113.

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The problem of stationary mass exchange of a cylindrical body with viscous incompressible fluid flow is reduced to solving the equation for concentration with the corresponding boundary conditions on the surface of the body and at infinity. Applying the constructive apparatus of the R-functions theory allows us to accurately take into account the geometry of the domain, as well as the boundary conditions together with the condition at infinity. The R-function method was proposed by V. L. Rvachev, Ukraine National Academy of Sciences academician. For boundary value problems of mathematical phys
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Velmisov, Petr A., Yuliya A. Tamarova, and Yuliya V. Pokladova. "Investigation of the dynamic stability of bending-torsional deformations of the pipeline." Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 23, no. 1 (2021): 72–81. http://dx.doi.org/10.15507/2079-6900.23.202101.72-81.

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Nonlinear mathematical models are proposed that describe the dynamics of a pipeline with a fluid flowing in it: a) the model of bending-torsional vibrations with two degrees of freedom; b) the model describing flexural-torsional vibrations taking into account the nonlinearity of the bending moment and centrifugal force; c) the model that takes into account joint longitudinal, bending (transverse) and torsional vibrations. All proposed models are described by nonlinear partial differential equations for unknown strain functions. To describe the dynamics of a pipeline, the nonlinear theory of a
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Afanaseva, Anna, and Alexander Starchenko. "Numerical Study of the Influence of Changes in Electrical Conductivity on the Solution of the Direct Problem of Electrical Impedance Tomography." Mathematical Physics and Computer Simulation, no. 3 (October 2023): 76–90. http://dx.doi.org/10.15688/mpcm.jvolsu.2023.3.6.

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Electrical Impedance Tomography (EIT) uses electrical stimulation and measurement at the body surface to image the electrical properties of internal tissues. It has the advantage of non-invasiveness and high temporal resolution but suffers from poor spatial resolution and sensitivity to electrode movement and contact quality. EIT can be useful to applications where there are conductive contrasts between tissues, fluids or gases, such as imaging of cancerous or ischemic tissue or functional monitoring of breathing, blood flow, gastric motility and neural activity. The work uses a complete elect
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Rabadjieva, Diana, Rumiana Gergulova, Kostadinka Sezanova, Daniela Kovacheva, and Rositsa Titorenkova. "Mg, Zn Substituted Calcium Phosphates—Thermodynamic Modeling, Biomimetic Synthesis in the Presence of Low-Weight Amino Acids and High Temperature Properties." Materials 16, no. 20 (2023): 6638. http://dx.doi.org/10.3390/ma16206638.

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The preparation of specially doped calcium phosphates (CaPs) is receiving a great deal of attention from researchers due to CaPs’ enhanced capabilities for application in medicine. Complexation and precipitation in a complicated electrolyte system including simulated body fluids that are enriched with Mg2+ and Zn2+ ions and modified with glycine, alanine and valine were first evaluated using a thermodynamic equilibrium model. The influence of the type and concentration of amino acid on the incorporation degree of Mg and Zn into the solid phases was predicted. Experimental studies, designed on
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31

Ndiaye, Jean François, Fahima Nekka, and Morgan Craig. "Understanding the Mechanisms and Treatment of Heart Failure: Quantitative Systems Pharmacology Models with a Focus on SGLT2 Inhibitors and Sex-Specific Differences." Pharmaceutics 15, no. 3 (2023): 1002. http://dx.doi.org/10.3390/pharmaceutics15031002.

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Heart failure (HF), which is a major clinical and public health challenge, commonly develops when the myocardial muscle is unable to pump an adequate amount of blood at typical cardiac pressures to fulfill the body’s metabolic needs, and compensatory mechanisms are compromised or fail to adjust. Treatments consist of targeting the maladaptive response of the neurohormonal system, thereby decreasing symptoms by relieving congestion. Sodium–glucose co-transporter 2 (SGLT2) inhibitors, which are a recent antihyperglycemic drug, have been found to significantly improve HF complications and mortali
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32

Cao, Yihua, Shuai Nie, and Zhenlong Wu. "Numerical simulation of parachute inflation: A methodological review." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 2 (2017): 736–66. http://dx.doi.org/10.1177/0954410017705900.

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The parachute inflation process involves fluid–structure interaction problems posing several mathematical and engineering challenges, e.g. accurate aerodynamics calculations for bluff-body geometries involving with moving boundary, appropriate structural models in predicting the behavior of canopy, and realization of the coupling between the fluid and structure. These challenges attract the attention of scholars worldwide, and considerable achievements have been obtained in applying numerical methods and simulations to design multifarious parachutes. In this paper, the authors highlight the ad
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BIGDELI, MOHAMMAD REZA, SOHRAB HAJIZADEH, BEHZAD BANIEGHBAL, and MOHAMMAD REZA MASJDI. "A COMPREHENSIVE SIMULATOR OF THE HUMAN PULMONARY SYSTEM: VALIDATION WITH DETERMINATION OF TOTALCO2AND DIAGNOSIS OF ACID-BASE ABNORMALITIES." Journal of Biological Systems 17, no. 01 (2009): 153–71. http://dx.doi.org/10.1142/s0218339009002818.

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In previous models, heart-lung-blood interactions and their physicochemical properties have not been considered in comprehensive simulators and an integrated mathematical model has not been presented. The aim of the present study is to combine different phenomena involved in the cardiopulmonary function, which are often considered separately. In this study, the variables that constitute a comprehensive model; which includes physicochemical reactions of O2and CO2in the blood and fluid compartments, V/Q, pH , body temperature and diffusion limitation in the adult human and its ability to provide
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Dey, Indrakshi, and Nicola Marchetti. "Channel Emulator Framework for Underwater Acoustic Communications." Applied Sciences 13, no. 9 (2023): 5818. http://dx.doi.org/10.3390/app13095818.

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In this paper, we develop a tractable mathematical model and an emulation framework for communicating information through water using acoustic signals. Water is considered one of the most complex media to model due to its vastness and variety of characteristics, which depend on the scenario, the type of water body (lakes, rivers, tanks, sea, etc.), and the geographical location of the water body being considered. Our proposed mathematical model involves the concept of damped harmonic oscillators to represent the medium (water); Milne’s oscillator technique is used to map the interaction betwee
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Holechek, Susan, Lizbeth Nieves, Megan McAfee, et al. "Using the lymphocytic choriomeningitis virus mouse model of infection to link specific immune responses with epidemiological outcomes (P6318)." Journal of Immunology 190, no. 1_Supplement (2013): 182.11. http://dx.doi.org/10.4049/jimmunol.190.supp.182.11.

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Abstract The adaptive immune system can act to prevent infection, reduce disease, and/or prevent shedding of viral pathogens. However, little is known about which specific adaptive immune responses affect each of these epidemiologic outcomes. Lymphocytic choriomeningitis virus (LCMV) is a natural pathogen of both mice and humans. We have shown that transmission from congenitally infected carrier mice occurs at high frequency while transmission from adult persistently infected mice is relatively inefficient. The major difference between these two groups is the presence (in adult infected) or ab
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Погудин, Андрей Владимирович. "МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ЭЛЕКТРОНАГРЕВНОЙ ДВИГАТЕЛЬНОЙ УСТАНОВКИ В ФОРМИРОВАНИИ МИКРОСПУТНИКОВОЙ ГРУППИРОВКИ". Aerospace technic and technology, № 3 (27 червня 2018): 45–51. http://dx.doi.org/10.32620/aktt.2018.3.06.

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The subject of the study in the article is the mathematical model of the propulsion system. It is built on the basis of the formed transfer functions of the elements. The goal is to rationalize the process of heating the onboard propulsion system on the basis of mathematical model under given constraints. Tasks: formalization of processes in an electric heating engine with a working body ammonia; formalization of the model of the onboard propulsion system; formation of the structural scheme; consideration of physical processes occurring in the nodes of the propulsion system; description of gas
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Kurysheva, Natalia I., Oxana Y. Rodionova, Alexey L. Pomerantsev, Galina A. Sharova, and Olga Golubnitschaja. "Machine learning–couched treatment algorithms tailored to individualized profile of patients with primary anterior chamber angle closure predisposed to the glaucomatous optic neuropathy." EPMA Journal 14, no. 3 (2023): 527–38. http://dx.doi.org/10.1007/s13167-023-00337-1.

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Abstract Background Primary angle closure glaucoma (PACG) is still one of the leading causes of irreversible blindness, with a trend towards an increase in the number of patients to 32.04 million by 2040, an increase of 58.4% compared with 2013. Health risk assessment based on multi-level diagnostics and machine learning–couched treatment algorithms tailored to individualized profile of patients with primary anterior chamber angle closure are considered essential tools to reverse the trend and protect vulnerable subpopulations against health-to-disease progression. Aim To develop a methodology
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Goswami, Nandu, Jerry J. Batzel, Jack A. Loeppky, and Helmut Hinghofer-Szalkay. "Teaching fluid shifts during orthostasis using a classic paper by Foux et al." Advances in Physiology Education 35, no. 4 (2011): 330–35. http://dx.doi.org/10.1152/advan.00071.2011.

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Hypovolemic and orthostatic challenge can be simulated in humans by the application of lower body negative pressure (LBNP), because this perturbation leads to peripheral blood pooling and, consequently, central hypovolemia. The classic paper by Foux and colleagues clearly shows the effects of orthostasis simulated by LBNP on fluid shifts and homeostatic mechanisms. The carefully carried out experiments reported in this paper show the interplay between different physiological control systems to ensure blood pressure regulation, failure of which could lead to critical decreases in cerebral blood
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Masselot, A., and B. Chopard. "A Multiparticle Lattice-Gas Model for Hydrodynamics." International Journal of Modern Physics C 09, no. 08 (1998): 1221–30. http://dx.doi.org/10.1142/s0129183198001102.

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Cellular automata (CA) and lattice-Boltzmann (LB) models are two possible approaches to simulate fluid-like systems. CA models keep track of the many-body correlations and provide a description of the fluctuations. However, they lead to a noisy dynamics and impose strong restrictions on the possible viscosity values. On the other hand, LB models are numerically more efficient and offer much more flexibility to adjust the fluid parameters, but they neglect fluctuations. Here we discuss a multiparticle lattice model which reconciles both approaches. Our method is tested on Poiseuille flows and o
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Afanasiy, Li, Burkhan Utepov, and Satniyaz Allaniyazov. "The spraying process simulation of the low-volume sprayer working body." E3S Web of Conferences 264 (2021): 04004. http://dx.doi.org/10.1051/e3sconf/202126404004.

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The article presents the developed mathematical models that describe the process of spraying the working body of a low-volume sprayer. Theoretical studies show that with an increase in the supply of working fluid to the atomizing disc, the rotational speed of the pneumatic disc atomizer decreases, and in order to ensure the effect of the air flow on the droplet formation process, the radius of the disc should be larger than the radius of the base of the cone-shaped fairing, but less than its maximum critical value and for obtaining a monodisperse spray with the main droplet diameter d = 80 … 1
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Zúñiga, Paulo, Marcelo Aravena, Silvia Ponce, and Jacobo Hernandez-Montelongo. "A Finite Element Method for Modeling Diffusion and Drug Release from Nanocellulose/Nanoporous Silicon Composites." Pharmaceutics 17, no. 1 (2025): 120. https://doi.org/10.3390/pharmaceutics17010120.

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Background and Objective: A previous study investigated the in vitro release of methylene blue (MB), a widely used cationic dye in biomedical applications, from nanocellulose/nanoporous silicon (NC/nPSi) composites under conditions simulating body fluids. The results showed that MB release rates varied significantly with the nPSi concentration in the composite, highlighting its potential for controlled drug delivery. To further analyze the relationship between diffusion dynamics and the MB concentration, this study developed a finite element (FE) method to solve Fick’s equations governing the
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Dziurzyński, Wacław, Andrzej Krach, and Teresa Pałka. "COMPUTER SIMULATION OF THE PROPAGATION OF HEAT IN ABANDONED WORKINGS INSULATED WITH SLURRIES AND MINERAL SUBSTANCES." Archives of Mining Sciences 59, no. 1 (2014): 3–23. http://dx.doi.org/10.2478/amsc-2014-0001.

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Abstract In the paper the results of investigations aimed at further identification of the phenomena occurring in abandoned workings and connected with the flow of air-gas (methane, carbon dioxide, nitrogen, oxygen and carbon oxidation products) mixture with taking into consideration the impact of supplied mineral substances on the processes of self-heating of the coal left in goaves were presented. The known and successfully used method for the prevention of fires in abandoned workings is the technology of filling goaf with an ash-air mixture, which also raises the issue of the effective use
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Yu Yudina, N., R. V. Yudin, and A. I. Maksimenkov. "Simulation of loading dynamics and hydrodynamics of drives of forest machine working bodies." IOP Conference Series: Earth and Environmental Science 875, no. 1 (2021): 012060. http://dx.doi.org/10.1088/1755-1315/875/1/012060.

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Abstract The need to take into account the dynamic processes that occur when performing technological operations using the working bodies of forest machines with a hydraulic drive is due to the fact that its absence leads to a distortion of the obtained results, since the kinematic schemes do not take into account the influence of hydraulic fluid in the elements of the hydraulic system. In this regard, it became necessary to develop models that take into account the dynamics of working body loading and the hydrodynamics of its drives. It is recommended to consider the influence of the process
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Postlethwaite, Claire M., Tiffany M. Psemeneki, Jangir Selimkhanov, Mary Silber, and Malcolm A. MacIver. "Optimal movement in the prey strikes of weakly electric fish: a case study of the interplay of body plan and movement capability." Journal of The Royal Society Interface 6, no. 34 (2008): 417–33. http://dx.doi.org/10.1098/rsif.2008.0286.

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Animal behaviour arises through a complex mixture of biomechanical, neuronal, sensory and control constraints. By focusing on a simple, stereotyped movement, the prey capture strike of a weakly electric fish, we show that the trajectory of a strike is one which minimizes effort. Specifically, we model the fish as a rigid ellipsoid moving through a fluid with no viscosity, governed by Kirchhoff's equations. This formulation allows us to exploit methods of discrete mechanics and optimal control to compute idealized fish trajectories that minimize a cost function. We compare these with the measur
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Abrate, Serge. "Resin flow in fiber preforms." Applied Mechanics Reviews 55, no. 6 (2002): 579–99. http://dx.doi.org/10.1115/1.1506323.

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In a number of manufacturing processes for composite structures, resin flows through fiber reinforcement that is prearranged in a mold or a die. This article presents a review of mathematical models used to study the flow of resin through fiber reinforcement. The general approach is to consider the resin as a fluid propagating through a porous medium: the mold (or die) cavity partially filled with fiber reinforcement and other filler material. The resistance of the reinforcement to fluid flow is characterized by the permeability tensor and many analytical, numerical, and experimental technique
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Yang, Shi-Bin, Li-Bao Wang, and Dan Xu. "Computational analysis on actuator failures of flexible aircraft." International Journal of Computational Materials Science and Engineering 07, no. 01n02 (2018): 1850014. http://dx.doi.org/10.1142/s2047684118500148.

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A coupled model of aeroservoelasticity and hydraulic actuator used for failure simulation is presented. The mathematical model composites rigid-body modes, elastic modes, control surface modes, unsteady aerodynamic forces and failure models (jam, loss of control (LOC), oscillatory failure, and hydraulic fluid leakage). A clear framework of coupling method of airplane aeroelastic equation and control surface dynamic equation is provided to study the impacts of surface failures on rigid-elastic motion of airplane. The coupled model is shown to be effective in evaluation of gust response in both
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Mechighel, F., S. Ben Aoua, and S. Dost. "Lattice Boltzmann Equations-Based Model of the Convection Melt Flow Driven by the Combined Effects of Buoyancy, Surface Tension and Magnetic Body Forces with Heat Generation." Defect and Diffusion Forum 390 (January 2019): 133–50. http://dx.doi.org/10.4028/www.scientific.net/ddf.390.133.

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The main topic of this paper is the development of a mathematical model, based on the Lattice Boltzmann equations (LBE), which is proposed for the simulation of the complex convective flow, held in an electrically conducting melt, driven by the combined action of buoyancy, surface-tension, and electromagnetic forces. The lattice Boltzmann method (LBM) is relatively novel and contrasts with the usual well-known methods to physical modeling in the domain of computational fluid dynamics (CFD). Indeed, the LBM describes the fluid (i.e. lattice fluid) at a microscopic level (molecular) and proposes
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Zhang, Qi, Ruo Fei Liu, Hao Liu, and Ru Wu Wang. "Numerical Simulation and Performance Study of Adjustable Steam Ejector Using CFD." Advanced Materials Research 562-564 (August 2012): 1150–54. http://dx.doi.org/10.4028/www.scientific.net/amr.562-564.1150.

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A djustable ejector flow control can be achieved to export in a stable area, thus reducing the jet inlet parameters on the export parameters as well as the impact of the entire system, widening of the jet's effective operating range. In this paper, the establishment of an effective mathematical models and computational methods to commercial CFD software FLUENT 6.3 as a platform for the adjustable jet to simulate the internal flow process and performance research, exploration and analysis of the main needle is moved (ie the nozzle throat orifice area change) operating parameters (including the
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Bissenas, Ashley, Chance Fleeting, Drashti Patel, et al. "CSF Dynamics: Implications for Hydrocephalus and Glymphatic Clearance." Current Research in Medical Sciences 1, no. 1 (2022): 24–42. http://dx.doi.org/10.56397/crms.2022.12.04.

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Beyond its neuroprotective role, CSF functions to rid the brain of toxic waste products through glymphatic clearance. Disturbances in the circulation of CSF and glymphatic exchange are common among those experiencing HCP syndrome, which often results from SAH. Normally, the secretion of CSF follows a two-step process, including filtration of plasma followed by the introduction of ions, bicarbonate, and water. Arachnoid granulations are the main site of CSF absorption, although there are other influencing factors that affect this process. The pathway through which CSF is through to flow is from
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Zhang, Qianwen, Chuqi Su, Yi Zhou, Chengcai Zhang, Jiuyang Ding, and Yiping Wang. "Numerical Investigation on Handling Stability of a Heavy Tractor Semi-Trailer under Crosswind." Applied Sciences 10, no. 11 (2020): 3672. http://dx.doi.org/10.3390/app10113672.

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Due to the large lateral area of the trailer and variable road conditions, the handling stability of a heavy tractor semi-trailer under crosswind is very important for road safety. In this present work, numerical simulation is performed to study the crosswind effects on handling stability of a tractor semi-trailer. The aerodynamic characteristics of the tractor semi-trailer under different crosswind were computed by computational fluid dynamics (CFD). Then, mathematical models to reveal the relationship between the aerodynamic forces and crosswind were constructed to serve as inputs of the mul
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