scholarly journals Mathematical Model for Computer-Assisted Modification of Medication Dosing Rules

2019 ◽  
Vol 11 ◽  
pp. 117822261982907 ◽  
Author(s):  
Michael Z Grabel ◽  
Benjamin L Vaughan ◽  
Judith W Dexheimer ◽  
Eric S Kirkendall
Keyword(s):  
Mathematical Model ◽  
Computer Assisted

Effects of Surgical Placement of Components in Unicompartmental Knee Arthroplasty Evaluated With a Planar Mathematical Model

2010 ◽  
Author(s):  
Ahmed Imran
Keyword(s):  
Mathematical Model ◽  
Knee Arthroplasty ◽  
Sagittal Plane ◽  
Modern Technology ◽  
Elastic Fibers ◽  
Computer Assisted ◽  
Model Calculations ◽  
Clinical Observations ◽  
Straight Lines ◽  
Improve Patient

The use of modern technology in knee arthroplasty, like minimally invasive surgery and computer assisted systems, can help in standardization of surgical procedures and improve patient recovery. However, such procedures can affect the surgeon’s ability to properly place and orient the prosthetic components on the bones. In the present study, the effects of surgical placement of components on mechanics of the joint are evaluated. A sagittal plane mathematical model of the knee with unicompartmental replacement is developed. Anatomical data and geometries of the prosthetic components were taken similar to those in literature. Ligaments were represented as bundles of elastic fibers. Net muscle forces were represented along straight lines. The prosthetic components were placed on the bones such that selected fibers in the cruciate ligaments remained nearly isometric and no ligament stretched during flexion. This defined the passive motion of the joint. The effects of external load, muscle activity and variations in component placement or size were superimposed. Component mal-placement or in-appropriate size resulted in stretched/slackened ligaments, influenced the relative positions of bones, and affected joint laxity. The model calculations show general agreement with and explain the experimental/clinical observations reported in literature.

scholarly journals Mathematical modelling of the CHP plant-10 power unit No 5 of “Baikal Energy Company” LLC to assess the efficiency of its modernisation

2021 ◽  
Vol 25 (2) ◽  
pp. 183-195
Author(s):  
F. V. Zabuga ◽  
V. E. Alekseyuk
Keyword(s):  
Mathematical Model ◽  
Power Plant ◽  
Mathematical Modelling ◽  
Power Unit ◽  
Low Pressure ◽  
Operating Conditions ◽  
Computer Assisted ◽  
Model Parameters ◽  
Programming System ◽  
Energy Company

The work aims to study the effect of changes in the drain scheme of the low-pressure regeneration on the energy and economic efficiency of the CHP plant-10 power unit No 5 of “Baikal Energy Company” LLC. In this study, we used a mathematical model of the power unit adjusted to the measurements results. The mathematical modelling of the power unit was performed using the “Computer-assisted programming system” application package. The created matematical model of the heat and power plant was tailored to the current state of the study object according to the three-stage identification procedure of the mathematical model parameters. We proposed a cycle arrangement under which three streams of the low-pressure drainages were redirected to the pump suction of the low-pressure heater. The improved mathematical model of the power unit allows the calculation of the parameters of both the existing and proposed cycle arrangements. According to the calculations, the temperature difference between the main condensate after the low-pressure heater 1 and the investigated drains after mixing is minimal and amounts to 3.2 °C. The suggested modernisation increases the energy efficiency of the power unit by 0.007% under the nominal operating conditions of the existing and proposed thermal circuit. In addition, the specific standard fuel consumption for electric generation is reduced by 0.052 g.s.s.f./kWh. The operating costs to implement the proposed engineering solutions amounted to 34,191 roubles. Considering the annual power plant extensive consumption factor, the payback period of the proposed modernisation will be 5.5 months. The savings for the first operation year are estimated at 18,423 roubles, based on the rate of return and depreciation expenses. The proposed approach combines mathematical modelling of operating power plants with a technique of increasing the efficiency of technical decision-making. The proposed versatile approach can be used for the modernisation of CHPs and other plants.

The application of 3D volume investigation methods to serial confocal and serial EM data: Distribution of microtubules in PC12 cells

1991 ◽  
Vol 49 ◽  
pp. 146-147
Author(s):  
John K. Stevens ◽  
Judy Trogadis
Keyword(s):  
Mathematical Model ◽  
Cross Sections ◽  
Computer Assisted ◽  
Clinical Settings ◽  
Resonance Imaging ◽  
Computer Assisted Design ◽  
Investigation Methods ◽  
Computer Workstation ◽  
3D Volume ◽  
Serial Electron Microscopy

CAD or Computer Assisted Design uses a computer workstation to create or design new objects. Volume Investigation (VI) uses a computer workstation to understand or analyze existing objects. CAD systems are used to produce a mathematical model of a new object, stored in the workstation's memory. This model is created interactively by the user of the workstation. In contrast, VI systems synthesize a similar mathematical-model automatically from an existing object. The model is usually created or “reconstructed” from a stack of serial cross-sections of the original object. These cross-sections may be collected non-destructively from computerized tomography scans (CT), magnetic resonance imaging scans (MRI), confocal microscopy or destructively from serial light microscopy, serial electron microscopy, or any other source of serial sections. VI workstations are in widespread use in clinical settings, but have not been used at all in scientific research.

scholarly journals Research based on mathematical modeling of CHP-10 power unit No 5 “Baikal Energy Company” LLC to assess the efficiency of its modernization

2021 ◽  
Vol 289 ◽  
pp. 02002
Author(s):  
Fedor Zabuga ◽  
Vitalii Alekseiuk
Keyword(s):  
Mathematical Model ◽  
Power Plant ◽  
Mathematical Modelling ◽  
Power Unit ◽  
Low Pressure ◽  
Operating Conditions ◽  
Computer Assisted ◽  
Model Parameters ◽  
Programming System ◽  
Energy Company

The work aims to study the effect of changes in the drain scheme of the low-pressure regeneration on the energy and economic efficiency of the CHP plant-10 power unit No 5 of “Baikal Energy Company” LLC. In this study, we used a mathematical model of the power unit adjusted to the measurements results. The mathematical modelling of the power unit was performed using the “Computer-assisted programming system” application package. The created mathematical model of the heat and power plant was tailored to the current state of the study object according to the threestage identification procedure of the mathematical model parameters. We proposed a cycle arrangement under which three streams of the low-pressure drainages were redirected to the pump suction of the low-pressure heater. The improved mathematical model of the power unit allows the calculation of the parameters of both the existing and proposed cycle arrangements. According to the calculations, the temperature difference between the main condensate after the low-pressure heater 1 and the investigated drains after mixing is minimal and amounts to 3.2 °C. The suggested modernisation increases the energy efficiency of the power unit by 0.007% under the nominal operating conditions of the existing and proposed thermal circuit. In addition, the specific standard fuel consumption for electric generation is reduced by 0.052 gram of conventional fuel / kW·h. The operating costs to implement the proposed engineering solutions amounted to 34191 roubles. Considering the annual power plant extensive consumption factor, the payback period of the proposed modernisation will be 5.5 months. The savings for the first operation year are estimated at 18423 roubles, based on the rate of return and depreciation expenses. The proposed approach combines mathematical modelling of operating power plants with a technique of increasing the efficiency of technical decision-making. The proposed versatile approach can be used for the modernisation of CHPs and other plants.

scholarly journals CREATION OF A COMPUTER-ASSISTED MATHEMATICAL MODEL FOR THE RAW MATERIALS BIOLOGICAL PROCESSING

2020 ◽  
Vol 17 (35) ◽  
pp. 640-654
Author(s):  
Manat B. TLEBAYEV ◽  
Bolotbek I. BIIBOSUNOV ◽  
Zhazira K. TASZHUREKOVA ◽  
Marina A. BAIZHARIKOVA ◽  
Zamira K. AITBAYEVA
Keyword(s):  
Mathematical Model ◽  
Alternative Energy ◽  
Methane Concentration ◽  
Anaerobic Fermentation ◽  
Biogas Production ◽  
Raw Materials ◽  
Computer Assisted ◽  
Operational Parameters ◽  
Fermentation Time ◽  
Biogas Yield

During anaerobic fermentation, the alternation of liquid and solid substances in the substrate makes the bacteria adapt to changing conditions, which significantly reduces the biogas yield, reduces the methane concentration in it, and increases the retention time of the substrate in the bioreactor. The solution to this problem when using cavitation destruction can not only minimize temperature nonuniformity but also solve the problem of the same load on the biocenosis and maximum contact surface of bacteria during anaerobic fermentation in the bioreactor. Studies have shown that the composition and quantity of biogas are not constant and depend on the type of substrate being processed and the biogas production technology. To stabilize the composition of the resulting biogas and bring it to a high-quality, independent alternative energy source, it is possible using membrane destruction or crushing of organic raw materials. The energy consumption, fermentation time, and methane concentration in the final biogas output depend on the primary treatment. This work proposes a mathematical model of the process of crushing, dispersing, and blending waste from dairy and fattening farms, which allows to determine and optimize its operating parameters, as well as to promote effective anaerobic fermentation of the substrate in the bioreactor. To determine the mathematical model for the raw materials biological processing with known theoretical or experimental parameters, numerical methods were used, which are one of the powerful mathematical tools for solving the problem. The results of the operational parameters of the studied processes were obtained using the Mathcad environment and tested in the SCADA Trace Mode 6.10.1 automated process control and monitoring software package.

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