Mathematical modeling of dynamic decisions; priorities and hierarchies with time dependence

1979 ◽  
Vol 21 (4) ◽  
pp. 352-358 ◽  
Author(s):  
Thomas L. Saaty
Keyword(s):  
Mathematical Modeling ◽  
Time Dependence ◽  
Dynamic Decisions

scholarly journals Mathematical Modeling of the Pandemic Peak

2022 ◽  
Vol 10 (E) ◽  
pp. 22-26
Author(s):  
Nadezhda Cherkunova
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Differential Equations ◽  
Time Dependence

BACKGROUND:  The article examines the history and statistics of the pandemic spread. AIM: The study aimed to  develop a mathematical model reflecting the time dependence of the parameters characterizing the spread of the pandemic. MATERIALS AND METHODS: Differential equations were used to study the spread of the pandemic. RESULTS:  The case, where the coefficients of morbidity and recovery are different is considered. The patterns of change in the number of people susceptible to the disease and the number of infectious patients are revealed as a function of time. Using the developed model, the peak of the pandemic is found, i.e., the time at which the number of infectious patients will be the maximum.

On the DNA Kink Motion Under the Action of Constant Torque

2016 ◽  
Vol 11 (1) ◽  
pp. 81-90 ◽  
Author(s):  
Л.В. Якушевич ◽  
L.V. Yakushevich
Keyword(s):  
Mathematical Modeling ◽  
Time Dependence ◽  
External Action ◽  
Constant Torque ◽  
Torsion Moment

The influence of the torsion moment on the DNA kink motion is studied by the methods of mathematical modeling. Time dependence of the kink coordinate, velocity, size, and energy on the different values of the parameters of the external torsion moment have been found. It has been shown that by changing the parameters, by switching on and off of the external action, one could regulate the velocity and the direction of the kink movement. Estimation of the torque value necessary for the kink (open state) movement with the velocity comparable to the transcription velocity, has been made.

scholarly journals Dose- and time-dependence of the host-mediated response to paclitaxel therapy: a mathematical modeling approach

Oncotarget ◽  
2017 ◽  
Vol 9 (2) ◽  
pp. 2574-2590 ◽  
Author(s):  
Madeleine Benguigui ◽  
Dror Alishekevitz ◽  
Michael Timaner ◽  
Dvir Shechter ◽  
Ziv Raviv ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Time Dependence ◽  
Modeling Approach

scholarly journals Investigation of the Effect of Temperature Stabilization in Radiation–Heat Converters Based on a Strong Absorbing Coating

Photonics ◽  
2021 ◽  
Vol 8 (10) ◽  
pp. 423
Author(s):  
Natalia Sapogova ◽  
Vladimir Bredikhin ◽  
Andrey Afanasiev ◽  
Vladislav Kamensky ◽  
Nikita Bityurin
Keyword(s):  
Mathematical Modeling ◽  
Laser Ablation ◽  
Time Dependence ◽  
Laser Surgery ◽  
Effect Of Temperature ◽  
Temperature Stabilization ◽  
Radiation Heat ◽  
Cw Laser ◽  
Absorbing Layer ◽  
Further Development

Light–heat converters are promising for further development of contact laser surgery. The simplest converter consists of an optical fiber with a strong absorbing layer at the tip. We studied the time dependence of the tip temperature at different CW laser powers and revealed that, in several seconds, the temperature evolution becomes almost power-independent. Mathematical modeling showed that laser ablation of the tip coating is the main reason for this phenomenon.

The O–C diagrams of minor planets − a new approach to modelling the rotation

1999 ◽  
Vol 173 ◽  
pp. 185-188
Author(s):  
Gy. Szabó ◽  
K. Sárneczky ◽  
L.L. Kiss
Keyword(s):  
Error Analysis ◽  
Time Dependence ◽  
Theoretical Work ◽  
Minor Planet ◽  
Minor Planets ◽  
New Approach ◽  
Preliminary Results ◽  
Ccd Observations

AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.

Influence of the hyperfine structure on the time-dependence of Mössbauer transmission

1985 ◽  
Vol 46 (8) ◽  
pp. 1387-1393 ◽  
Author(s):  
D.L. Balabanski ◽  
E.I. Vapirev ◽  
P.S. Kamenov
Keyword(s):  
Time Dependence ◽  
Hyperfine Structure

Cerebral Blood Circulation in Premature Infants by Means of Mathematical Modeling

2015 ◽  
Vol 46 (S 01) ◽  
Author(s):  
R. Lampe ◽  
N. Botkin ◽  
V. Turova ◽  
T. Blumenstein ◽  
A. Alves-Pinto
Keyword(s):  
Mathematical Modeling ◽  
Premature Infants ◽  
Blood Circulation ◽  
Cerebral Blood Circulation

Time Dependence of Whole Blood Aggregation in Response to Platelet Activating Factor (PAF)

1988 ◽  
Vol 59 (02) ◽  
pp. 162-163 ◽  
Author(s):  
R R Taylor ◽  
J Strophair ◽  
M Sturm ◽  
R Vandongen ◽  
L J Beilin
Keyword(s):  
Time Dependence ◽  
Whole Blood ◽  
Platelet Rich Plasma ◽  
Platelet Activating Factor ◽  
Sampling Time ◽  
Blood Sampling ◽  
Impedance Aggregometry

SummaryThe aggregation/adhesion response to platelet activating factor (PAF) was studied in diluted whole blood by impedance aggregometry. The extent of aggregation varied directly with the interval between blood sampling and aggregation measurement over the first 30 minutes from sampling, then remained stable for the next 60 minutes of observation. This is an effect opposite to that described for aggregation to PAF in platelet rich plasma which, however, cannot be studied soon after sampling. Time dependence of aggregation is important and comparative measurements should be made during the period of stable aggregability.

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