A mathematical model and numerical investigation for determining the hydraulic conductivity of rocks

1997 ◽  
Vol 34 (5) ◽  
pp. 741-759 ◽  
Author(s):  
D. Lesnic ◽  
L. Elliott ◽  
D.B. Ingham ◽  
B. Clennell ◽  
R.J. Knipe
Keyword(s):  
Mathematical Model ◽  
Hydraulic Conductivity ◽  
Numerical Investigation

Deregulation of p53-dependent microRNAs: the results of mathematical modeling

2017 ◽  
Vol 12 (1) ◽  
pp. 151-175 ◽  
Author(s):  
О.Ф. Воропаева ◽  
O.F. Voropaeva
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Numerical Analysis ◽  
Neurodegenerative Disease ◽  
Numerical Investigation ◽  
Tumor Markers ◽  
Critical Properties ◽  
Laboratory Studies ◽  
The Mathematical Model ◽  
Good Agreement

The mathematical model of the dynamics of the tumor markers network p53–Mdm2–microRNA for microRNA class with a direct positive connection with p53 was formulated. Numerical investigation of the microRNA functioning in conditions of the deregulation of p53 and p53–Mdm2-network was carried out. The deregulation of microRNA in detail was studied. The situations in which p53, its inhibitor Mdm2 and microRNAs exhibit critical properties for the patient's status and can be identified as diagnostic markers of cancer and neurodegenerative disease were studied. The results of numerical analysis are in good agreement with the data of clinical and laboratory studies of known microRNAs.

Nonlinear regular dynamics of a single-degree robot model

Robotica ◽  
1996 ◽  
Vol 14 (4) ◽  
pp. 423-431 ◽  
Author(s):  
V. Paar ◽  
N. Pavin ◽  
N. Paar ◽  
B. Novaković
Keyword(s):  
Mathematical Model ◽  
Numerical Investigation ◽  
Control Parameter ◽  
Degree Of Freedom ◽  
Transient Chaos ◽  
Parameter Region ◽  
Single Degree ◽  
Engineering Significance ◽  
Arnold Tongues ◽  
Upper Boundary

SUMMARYThis paper presents a mathematical model of a robot with one degree of freedom and numerical investigation of its dynamics in a particular parameter scan which is close to the upper boundary of the estimates for the parameters of rigidity and friction, while the length parameter L is treated as a free control parameter. In this L-scan the quasiperiodic and frequency locked solutions, their pattern and order of appearance are studied in the interval from the parameter range of immediate engineering significance to the point of appearance of transient chaos. In particular, a fractaltype multiple splitting of Arnold tongues is found in the parameter region bordering the range of engineering significance.

scholarly journals Numerical Investigation of One Sobolev Type Mathematical Model

2015 ◽  
Vol 2 (3) ◽  
pp. 72-80 ◽  
Author(s):  
A.A. Zamyshlyaeva ◽  
◽  
S.V. Surovtsev ◽  
Keyword(s):  
Mathematical Model ◽  
Numerical Investigation ◽  
Sobolev Type

scholarly journals Determination of critical flow velocity for tube-bundle with application of numerical investigation method

Energetika ◽  
2016 ◽  
Vol 61 (3-4) ◽  
Author(s):  
Alexey Samolysov ◽  
Saveliy Kaplunov ◽  
Natalia Vales ◽  
Olga Marchevskaya ◽  
Elena Dronova
Keyword(s):  
Mathematical Model ◽  
Numerical Investigation ◽  
Tube Bundle ◽  
Connection Matrix ◽  
Investigation Method ◽  
Elastic Tubes ◽  
Tube Bundles ◽  
The Creation ◽  
The Stability

The work is devoted to the creation and application of mathematical models for the most dangerous oscillation excitation mechanisms of tubes and cylindrical form bluff structures in liquid or gas flow, as well as to the creation of efficient computational methods for description of these models. A numerical investigation method of hydrodynamic forces arising from a  separated flow and tube-bundle oscillations excited by these forces was developed by the authors. The method is based on the  application of created original tube-bundle hydroelastic oscillation excitation in a cross-flow mathematical model. Hydroelastic excitation problem is reduced to the stability analysis of undisturbed state of elastic tubes. Analysis is conducted with the assumption of linearity of the destabilizing forces. On the basis of the mathematical model, the necessary and sufficient condition for the  stability, expressed through the  dimensionless system parameters (mass, damping, velocity), was obtained. Numerical identification of the  linear hydrodynamic connection matrix algorithm for particular tube-bundles was elaborated. Verification of algorithm and programs based on it was performed by results of simulations and available experimental data correlation. A method for determination of a linear hydrodynamic connection matrix for tube-bundles with a regular arrangement of the cross-section was offered. It is based on computation of a relatively small, but sufficient for reliable results, part of the tube-bundle.

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