Determination of Metabolic Fluxes by Mathematical Analysis of 13C-Labeling Kinetics

2006 ◽  
pp. 99-116
Author(s):  
John C. Chatham ◽  
Edwin M. Chance
Keyword(s):  
Mathematical Analysis ◽  
13C Labeling ◽  
Metabolic Fluxes

scholarly journals Determination of the steady-state turnover rates of the metabolically active pools of phosphatidylinositol 4-phosphate and phosphatidylinositol 4,5-bisphosphate in human erythrocytes

1989 ◽  
Vol 259 (3) ◽  
pp. 893-896 ◽  
Author(s):  
C E King ◽  
P T Hawkins ◽  
L R Stephens ◽  
R H Michell
Keyword(s):  
Steady State ◽  
Rate Constants ◽  
Human Erythrocytes ◽  
Turnover Rates ◽  
Metabolic Fluxes ◽  
Metabolic Pool ◽  
Phosphatidylinositol 4 ◽  
Kinetics Of ◽  
Phosphate Groups

When intact human erythrocytes are incubated at metabolic steady state in a chloride-free medium containing [32P]Pi, there is rapid labelling of the gamma-phosphate of ATP, followed by a slower labelling of the monoester phosphate groups of phosphatidylinositol 4-phosphate (PtdIns4P) and phosphatidylinositol 4,5-bisphosphate [PtdIns(4,5)P2] [King, Stephens, Hawkins, Guy & Michell (1987) Biochem. J. 244, 209-217]. We have analysed the early kinetics of the labelling of these phosphate groups, in order to determine: (a) the steady-state rates of the interconversions of phosphatidylinositol, PtdIns4P and PtdIns(4,5)P2; and (b) the fractions of the total cellular complement of PtdIns4P and PtdIns(4,5)P2 that participate in this steady-state turnover. The experimental data most closely fit a pattern of PtdIns4P and PtdIns(4,5)P2 turnover in which one-quarter of the total cellular complement of each lipid is in the metabolic pool that participates in rapid metabolic turnover, with rate constants of 0.028 min-1 for the interconversion of PtdIns and PtdIns4P, and of 0.010 min-1 for the PtdIns4P/PtdIns(4,5)P2 cycle. These rate constants represent metabolic fluxes of approx. 2.1 nmol of lipid/h per ml of packed erythrocytes between PtdIns and PtdIns4P and of approx. 5.7 nmol/h per ml of cells between PtdIns4P and PtdIns(4,5)P2.

scholarly journals Computing support for testing equal values of the figurative numbers in the Pascal triangle

2020 ◽  
Vol 2 (7) ◽  
pp. 36-41
Author(s):  
Miroslava Mihajlov Carević ◽  
Miloš Ilić ◽  
Milena Petrović ◽  
Nebojša Denić
Keyword(s):  
Programming Language ◽  
Mathematical Analysis ◽  
Computer Laboratory ◽  
C Programming Language ◽  
Pascal Triangle ◽  
C Programming ◽  
Computing Support

In this paper we deal with a method for the determination of numbers in a Pascal triangle that are simultaneously triangular, tetrahedral and pentaedroidni. The collected results, obtained by mathematical analysis, were verified by computer. For this purpose, we used the C# programming language as well as the computer laboratory within our University in order to test the results. The results collected by computer confirmed the accuracy of the results obtained by mathematical analysis.

Determination of metabolic fluxes in a non-steady-state system

2007 ◽  
Vol 68 (16-18) ◽  
pp. 2313-2319 ◽  
Author(s):  
C.J. Baxter ◽  
J.L. Liu ◽  
A.R. Fernie ◽  
L.J. Sweetlove
Keyword(s):  
Steady State ◽  
State System ◽  
Metabolic Fluxes

Application of spin-echo techniques to the determination of 13C labeling using proton NMR spectroscopy

1983 ◽  
Vol 48 (20) ◽  
pp. 3613-3615 ◽  
Author(s):  
David M. Doddrell ◽  
Horst C. Uzar ◽  
Alan R. Battersby
Keyword(s):  
Nmr Spectroscopy ◽  
Spin Echo ◽  
Proton Nmr ◽  
Proton Nmr Spectroscopy ◽  
13C Labeling

Theoretical Considerations and Equilibrium Conditions in Analytical Potentiometry. Computer Facilitated Mathematical Analysis of Equilibria in a Multicomponent System

1973 ◽  
Vol 51 (21) ◽  
pp. 3541-3548 ◽  
Author(s):  
Bihudhendra Sarkar ◽  
Theo P. A. Kruck
Keyword(s):  
Metal Ions ◽  
Mathematical Analysis ◽  
Metal Ion ◽  
Binary Systems ◽  
Accurate Determination ◽  
Multicomponent System ◽  
Glass Electrode ◽  
Complex Species ◽  
Ligand Coordination

A method entitled "analytical potentiometry" is described which permits the accurate determination of the stability constants and of the distribution of simultaneously existing complex species in multi-component systems. A series of computer programs are introduced to facilitate the otherwise tedious mathematical analysis of data. Besides simple binary systems, this method is capable of dealing with mixed ligand coordination complexes and can be adapted to polynuclear systems. For many metal ions, there are no electrodes permitting the accurate determination of those ions over a wide enough concentration range. This method eliminates the need for metal ion specific electrodes. The concentration of free metal ions is determined indirectly by the use of a weak base and the glass electrode. These features bear great significance in resolving complex systems containing multiple species simultaneously which cannot be solved by the commonly known classical methods.

scholarly journals Fault modeling and parametric fault detection in analog VLSI circuits using discretization

2019 ◽  
Vol 9 (3) ◽  
pp. 1598
Author(s):  
Baldev Raj ◽  
G. M. Bhat ◽  
Sandeep Thakur
Keyword(s):  
Detailed Analysis ◽  
Mathematical Analysis ◽  
Tolerance Analysis ◽  
Analog Vlsi ◽  
Vlsi Circuits ◽  
Vlsi Circuit ◽  
Strong Base ◽  
Parametric Fault ◽  
Analog Vlsi Circuits

<p>In this article we describe new model for determination of fault in circuit and also we provide detailed analysis of tolerance of circuit, which is considered one of the important parameter while designing the circuit. We have done mathematical analysis to provide strong base for our model and also done simulation for the same. This article describes detailed analysis of parametric fault in analog VLSI circuit. The model is tested for different frequencies for compactness and its flexibility. The tolerance analysis is also done for this purpose. All the simulation are done in MATLAB software.</p>

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