Characterization of objects arrangement in image analysis of physical systems

Novotný, Dušan; Hrach, R.; Kostern, M

doi:10.1016/j.vacuum.2007.07.007

Cited by 5 publications

(1 citation statement)

References 6 publications

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“…In order to quantitatively analyze the shifts in the distribution patterns, a mean radii weighted by the mitochondrial volume density (MWr), similar to that used to evaluate radial distribution functions (Bhattacharjee, 2003; Novotny et al, 2008), was calculated for all the cases. The number of mitochondria present at different radii of the cell was counted and normalized by the area of the shell containing those mitochondria.…”

Section: Modeling Approach and Formulationmentioning

confidence: 99%

Influence of reaction and diffusion on spatial organization of mitochondria and effectiveness factors in skeletal muscle cell design

Pathi

Kinsey

Locke

2011

Biotech & Bioengineering

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A mathematical model is developed to analyze the influence of chemical reaction and diffusion processes on the intracellular organization of mitochondria in skeletal muscle cells. The mathematical modeling approach uses a reaction-diffusion analysis of oxygen, ATP, and ADP involved in energy metabolism and mitochondrial function as governed by oxygen supply, volume fraction of mitochondria, and rates of reaction. Superimposed upon and coupled to the continuum species material balances is a cellular automata (CA) approach governing mitochondrial life cycles in response to the metabolic state of the cell. The effectiveness factor (η), defined as the ratio of reaction rate in the system with finite rates of diffusion to those in the absence of any diffusion limitation is used to assess diffusional constraints in muscle cells. The model shows the dramatic effects that the governing parameters have on the mitochondrial cycle of life and death and how these effects lead to changes in the distribution patterns of mitochondria observed experimentally. The model results showed good agreement with experimental results on mitochondrial distributions in mammalian muscle fibers. The η increases as the mitochondrial population is redistributed toward the fiber periphery in response to a decreased availability of oxygen. Modification of the CA parameters so that the mitochondrial lifecycle is more sensitive to the oxygen concentration caused larger mitochondrial shifts to the edge of the cell with smaller changes in oxygen concentration, and thus also lead to increased values of η. The present study shows that variation in oxygen supply, muscle activity and mitochondrial ATP supply influence the η and are the important parameters that can cause diffusion limitations. In order to prevent diffusion constraints, the cell resorts to shifts in their mitochondrial population towards the cell periphery, thus increasing η.

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Section: Modeling Approach and Formulationmentioning

confidence: 99%