Mathematical Modeling of Cell Damage and Death due to Hyperthermic Stress With Reaction Kinetic Formulation

2008 ◽  
Author(s):  
Hiroshi Ishiguro ◽  
Masakazu Nozawa
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Low Temperatures ◽  
Reaction Kinetic ◽  
Cell Damage ◽  
Bioheat Transfer ◽  
Kinetic Formulation ◽  
Design And Optimization ◽  
High And Low Temperatures ◽  
Cell Lethality

In the applications of bioheat transfer, cells and tissues are exposed to various stresses from high and low temperatures, freezing, drying and chemicals, and resultantly they are damaged and dead However, the mechanism of cell damage and death due to the stresses is not sufficiently understood quantitatively. Also, mathematical model of cell damage and death for the prediction of cell lethality and viability is undeveloped. The prediction could contribute to design and optimization of the relevant devises and processes.

Proposal of Reaction Kinetic Model for Cell Differentiation With Cell Growth

2012 ◽  
Author(s):  
Makoto Uemura ◽  
Hiroshi Ishiguro
Keyword(s):  
Cell Differentiation ◽  
Cell Growth ◽  
Cell Damage ◽  
Medical Application ◽  
Bioheat Transfer ◽  
Biological Processes ◽  
Evaluation Design ◽  
Design And Optimization ◽  
Biological Studies ◽  
Response To Stress

Mathematical description of biological processes, including cell growth, cell differentiation, cell response to stress, and cell damage and death, could be beneficial to the characterization, quantitative evaluation, design, and optimization of the relevant processes. Phenomenological modeling based on experiments would be a promising method for the abovementioned description, although modeling should ideally be based on the outcome of system biological studies. Mathematical models have been developed for characterizing cell damage and death by hyperthermic stress and hypertonic electrolyte solution stress in relation to the medical application of bioheat transfer [1,2].

scholarly journals Example of A Kinetic Mathematical Modeling in Food Engineering

2018 ◽  
Vol 22 ◽  
pp. 01029
Author(s):  
Özlem ERTEKİN
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Differential Equations ◽  
Chemical Reaction ◽  
Function Method ◽  
Reaction Kinetic ◽  
Food Engineering ◽  
Systems Of Differential Equations ◽  
Reaction Processes ◽  
Kinetics Of

Mathematical modeling of biochemical, chemical reaction processes facilitates understanding. The kinetics of these reaction processes can be analyzed mathematically and kinetics are presented as systems of differential equations. Mathematical model of a reaction kinetic is studied in this study. Bernoulli-Sub equation function method is used in this study. This example can be new model for food engineering applications.

Application of the method of mathematical modeling for forecasting channel deformations at the underwater crossing of the main pipeline

2020 ◽  
Vol 10 (6) ◽  
pp. 599-609
Author(s):  
Valery А. Gruzdev ◽  
◽  
Georgy V. Mosolov ◽  
Ekaterina A. Sabayda ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Roughness Coefficient ◽  
Computational Domain ◽  
Channel Deformations ◽  
Geological Surveys ◽  
Kuban River ◽  
The Stability ◽  
Protective Structures

In order to determine the possibility of using the method of mathematical modeling for making long-term forecasts of channel deformations of trunk line underwater crossing (TLUC) through water obstacles, a methodology for performing and analyzing the results of mathematical modeling of channel deformations in the TLUC zone across the Kuban River is considered. Within the framework of the work, the following tasks were solved: 1) the format and composition of the initial data necessary for mathematical modeling were determined; 2) the procedure for assigning the boundaries of the computational domain of the model was considered, the computational domain was broken down into the computational grid, the zoning of the computational domain was performed by the value of the roughness coefficient; 3) the analysis of the results of modeling the water flow was carried out without taking the bottom deformations into account, as well as modeling the bottom deformations, the specifics of the verification and calibration calculations were determined to build a reliable mathematical model; 4) considered the possibility of using the method of mathematical modeling to check the stability of the bottom in the area of TLUC in the presence of man-made dumping or protective structure. It has been established that modeling the flow hydraulics and structure of currents, making short-term forecasts of local high-altitude reshaping of the bottom, determining the tendencies of erosion and accumulation of sediments upstream and downstream of protective structures are applicable for predicting channel deformations in the zone of the TLUC. In all these cases, it is mandatory to have materials from engineering-hydro-meteorological and engineering-geological surveys in an amount sufficient to compile a reliable mathematical model.

On the displacements of the contours of the optic-electronic space images. Mathematical modeling of displacement

2017 ◽  
Vol 992 (4) ◽  
pp. 32-38 ◽  
Author(s):  
E.G. Voronin
Keyword(s):  
Mathematical Modeling ◽  
Remote Sensing ◽  
Mathematical Model ◽  
Point Of View ◽  
Design Features ◽  
Space Images ◽  
Electronic Imaging ◽  
Measuring Accuracy ◽  
Physical Laws

The article opens a cycle of three consecutive publications dedicated to the phenomenon of the displacement of the same points in overlapping scans obtained adjacent CCD matrices with opto-electronic imagery. This phenomenon was noticed by other authors, but the proposed explanation for the origin of displacements and the resulting estimates are insufficient, and developed their solutions seem controversial from the point of view of recovery of the measuring accuracy of opticalelectronic space images, determined by the physical laws of their formation. In the first article the mathematical modeling of the expected displacements based on the design features of a scanning opto-electronic imaging equipment. It is shown that actual bias cannot be forecast, because they include additional terms, which may be gross, systematic and random values. The proposed algorithm for computing the most probable values of the additional displacement and ways to address some of the systematic components of these displacements in a mathematical model of optical-electronic remote sensing.

Simple Systems

2017 ◽  
Author(s):  
Jochen Rau
Keyword(s):  
Magnetic Field ◽  
Low Temperatures ◽  
General Framework ◽  
Gibbs State ◽  
Macroscopic System ◽  
Basic Model ◽  
System A ◽  
Paramagnetic Salt ◽  
High And Low Temperatures ◽  
Simple Systems

Even though the general framework of statistical mechanics is ultimately targeted at the description of macroscopic systems, it is illustrative to apply it first to some simple systems: a harmonic oscillator, a rotor, and a spin in a magnetic field. These applications serve to illustrate how a key function associated with the Gibbs state, the so-called partition function, is calculated in practice, how the entropy function is obtained via a Legendre transformation, and how such systems behave in the limits of high and low temperatures. After discussing these simple systems, this chapter considers a first example where multiple constituents are assembled into a macroscopic system: a basic model of a paramagnetic salt. It also investigates the size of energy fluctuations and how—in the case of the paramagnet—these fluctuations scale with the number of constituents.

Low temperature acclimation and legacy effects of summer water deficits in olive freezing resistance

2021 ◽  
Author(s):  
Nadia S Arias ◽  
Fabián G Scholz ◽  
Guillermo Goldstein ◽  
Sandra J Bucci
Keyword(s):  
Plant Growth ◽  
Water Deficit ◽  
Low Temperatures ◽  
Cell Damage ◽  
Leaf Water ◽  
Leaf Nitrogen Content ◽  
Legacy Effects ◽  
Freezing Resistance ◽  
Lower Growth ◽  
Water Deficits

Abstract Low temperatures and drought are the main environmental factors affecting plant growth and productivity across most of the terrestrial biomes. The objective of this study was to analyze the effects of water deficits before the onset of low temperatures in winter to enhance freezing resistance in olive trees. The study was carried out near the coast of Chubut, Argentina. Plants of five olive cultivars were grown out-door in pots and exposed to different water deficit treatments. We assessed leaf water relations, ice nucleation temperature (INT), cell damage (LT50), plant growth and leaf nitrogen content during summer and winter in all cultivars and across water deficit treatments. Leaf INT and LT50 decreased significantly from summer to winter within each cultivar and between treatments. We observed a trade-off between resources allocation to freezing resistance and vegetative growth, such that an improvement in resistance to sub-zero temperatures was associated to lower growth in tree height. Water deficit applied during summer increased the amount of osmotically active solutes and decreased the leaf water potentials. This type of legacy effects persists during the winter after the water deficit even when treatment was removed, because of natural rainfalls.

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