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PubMedDate not supplied

Accuracy of an on-line urea monitor compared with urea kinetic model and direct dialysis quantification.

To verify the accuracy of a urea monitor (UM) to assess dialysis adequacy, it was compared with a modified direct dialysis quantification method (mDDQ) and with a Casino modified urea kinetic model (mUKM) algorithm. Simplified Jindal and Daugirdas formulas, an anthropometric body water Watson formula, bioelectric impedance analysis, and the Garred model have also been considered. Concerning urea removal, UM results are close to mDDQ, as are the predialytic blood urea nitrogen values obtained by UM in the initial equilibration test. Urea distribution volume results for UM, mDDQ, and bioelectric impedance analysis are similar, whereas it appears clearly overestimated by the Watson formula. Urea monitor clearances are not significantly different from mDDQ, unlike UM Kt/V, which is slightly higher than mDDQ reference value, although with a satisfactory degree of concordance. Rebound effect must be considered by sampling after the equilibration time (et) when mUKM or simplified Kt/V formulas are used: mUKMet Kt/V results are quite similar to mDDQ, as is the Daugirdas value. Regarding NPCR, UM results are neither significantly different from mDDQ nor from the Garred model, whereas mUKM results are significantly overestimated. When rebound is considered, NPCR by mUKMet and NCPR by mDDQ are identical. The UM approach is simple and practical, with a satisfactory degree of reliability for clinical practice.

Adult↗
PubMed2000

A kinetic model of phosphorus metabolism in growing goats.

The effect of increasing phosphorus (P) intake on P utilization was investigated in balance experiments using 12 Saanen goats, 4 to 5 mo of age and weighing 20 to 30 kg. The goats were given similar diets with various concentrations of P, and 32P was injected to trace the movement of P in the body. A P metabolism model with four pools was developed to compute P exchanges in the system. The results showed that P absorption, bone resorption, and excretion of urinary P and endogenous and fecal P all play a part in the homeostatic control of P. Endogenous fecal output was positively correlated to P intake (P < .01). Bone resorption of P was not influenced by intake of P, and P recycling from tissues to the blood pool was lesser for low P intake. Endogenous P loss occurred even in animals fed an inadequate P diet, resulting in a negative P balance. The extrapolated minimum endogenous loss in feces was .067 g of P/d. The minimum P intake for maintenance in Saanen goats was calculated to be .61 g of P/d or .055 g of P/(kg(.75) x d) at 25 kg BW. Model outputs indicate greater P flow from the blood pool to the gut and vice versa as P intake increased. Intake of P did not significantly affect P flow from bone and soft tissue to blood. The kinetic model and regressions could be used to estimate P requirement and the fate of P in goats and could also be extrapolated to both sheep and cattle.

Animal Nutritional Physiological Phenomena↗
PubMed1992

Kinetic modeling of Sendai virus fusion with PC-12 cells. Effect of pH and temperature on fusion and viral inactivation.

We have studied the fusion activity of Sendai virus, a lipid-enveloped paramyxovirus, towards a line of adherent cells designated PC-12. Fusion was monitored by the dequenching of octadecyl-rhodamine, a fluorescent non-exchangeable probe. The results were analysed with a mass action kinetic model which could explain and predict the kinetics of virus-cell fusion. When the temperature was lowered from 37 degrees C to 25 degrees C, a sharp inhibition of the fusion process was observed, probably reflecting a constraint in the movement of viral glycoproteins at low temperatures. The rate constants of adhesion and fusion were reduced 3.5-fold and 7-fold, respectively, as the temperature was lowered from 37 degrees C to 25 degrees C. The fusion process seemed essentially pH-independent, unlike the case of liposomes and erythrocyte ghosts. Preincubation of the virus in the absence of target cell membranes at neutral and alkaline pH (37 degrees C, 30 min) did not affect the fusion process. However, a similar preincubation of the virus at pH = 5.0 resulted in marked, though slow, inhibition in fusion with the fusion rate constant being reduced 8-fold. Viral preincubation for 5 min in the same acidic conditions yielded a mild inhibition of fusogenic activity, while preincubation in the cold (4 degrees C, 30 min) did not alter viral fusion activity. These acid-induced inhibitory effects could not be fully reversed by further viral preincubation at pH = 7.4 (37 degrees C, 30 min). Changes in internal pH as well as endocytic activity of PC-12 cells had small effect on the fusion process, thus indicating that Sendai virus fuses primarily with the plasma membranes.

Animals↗
PubMed1967

Enhancement of photosynthesis by alternated light beams and a kinetic model.

Using the alga Chlorella and 2 light beams of defined wavelength, we have found that short period (1 sec) alternation gives all characteristics of enhancement of net oxygen evolution observed when the beams are superimposed. With increasing period of alternation (1-20 see) decay in enhancement is more rapid at higher intensities. We have developed a kinetic model for the current hypothesis of 2 photoacts operating in series and separated by electron transport reactions. The model is applicable at low light intensity such that rate is governed only by intensities and the fractions of reaction centers open for each photoact. Potentials and pool sizes of intermediates were taken from current estimates. Wavelength dependency of the 2 photoacts was taken from enhancement spectra for superimposed light beams. Analog computer treatment of the kinetic equations gave predictions of chromatic transients and alternated enhancement which are in reasonable but not complete agreement with experimental observations.

Chemical Phenomena↗
PubMed1993

Microcomputer-assisted kinetic modeling of mammalian gene expression.

New software for microcomputers enables predictive, quantitative models of genetic systems to be produced that can account for the elements of time, scale, and feedback control of hierarchical systems. The flow of genetic information during protein synthesis can be addressed by treating each intermediate as a kinetic element in a linked series of reactions. When the rate of transcription changes, the time required to achieve a new level of the encoded protein is expected to be a function of the conversion rates or half-lives of all intermediates. Kinetic modeling may be used to make predictions and integrate primary data concerning rates of transcription, nuclear mRNA dynamics, nucleocytoplasmic transport, translational control, and other processes that govern the rate of synthesis for specific proteins.

Animals↗
PubMed2003

System design of a bioartificial liver with a high performance hemodialyzer as an immunoisolator using a mathematical kinetic model.

We propose a new bioartificial liver (BAL) system equipped with a high performance hemodialyzer to act as an immunoisolation device. We discuss the design of the BAL system using a mathematical kinetic model with the experimentally obtained mass-transfer performances of various hemodialyzers. The mass transfer resistances of the hemodialyzers did not adversely influence the ammonia-removal and bioactive-substance-supply performances of the BAL system. A suitable hemodialyzer for the BAL system is available even at present using an engineering design. The remaining problems to be overcome before realizing clinical use of the BAL system are to increase the rate constant of the first order reaction of the BAL for ammonia metabolism and to develop a new method of blood access that can be used safely with long term reliability at a high blood flow rate (ca. 556 ml/min).

Cell Separation↗
PubMedDate not supplied

Development of a kinetic model to describe the effective rate of antibody oxidation by periodate.

The oxidation of antibody carbohydrate residues by periodate is a common approach used for site-specific antibody modification and immobilization. This study sought to develop a general kinetic model that could be used to describe the effective rate of this oxidation for process control. A detailed analysis of previous data collected for rabbit immunoglobulin G in the presence of excess periodate indicated that the reaction followed a pseudo-first-order mechanism in which two general classes of sites were being oxidized. The first class of sites was oxidized fairly rapidly (i.e., within 15-30 min), while the second class of sites reacted over the course of several hours. From these results, an equation was developed that gave a good fit under a variety of reaction conditions to the production of oxidized sites available for coupling with a hydrazide label. On the basis of this equation, data obtained at several periodate concentrations under the same pH and temperature conditions were used to estimate the apparent rate and equilibrium constants for the oxidation of each class of sites. The values obtained by using this approach could be used not only to predict the effective rate of oxidation at other periodate concentrations but also to provide information on the individual steps involved in the oxidation process.

Animals↗
PubMed2000

A possible steady state kinetic model for the atomization and excitation processes during inductively coupled plasma atomic emission spectrometry: application to interference effects of lithium on calcium.

A possible steady state kinetic model is presented for the atomization and excitation processes during inductively coupled plasma atomic emission spectrometry. The model takes into account the relative rates of (a) thermal dissociation of analyte salt, (b) recombination of counter atom and analyte atoms, (c) charge transfer between analyte and interferent species, (d) charge transfer between analyte and argon species, and (e) ion/electron collisional de-ionization. Number density ratio data, n(u)'/n(u), where n(u) denotes the excited state and the prime denotes the presence of an interferent element, are presented showing that the predictions of the model are consistent with the signal enhancement observed at low analyte concentrations when Ca is determined by ICP in the presence of excess Li.

Journal Article↗
PubMedDate not supplied

Haemodialysis adequacy in children: urea kinetic modelling.

The delivered dialysis dose is quantified by KT/V, the normalized whole body urea clearance. Calculations of KT/V are most often performed in single pool urea kinetic modelling, from the post and predialysis serum values. Although the exact levels of KT/V required is a matter of some debate, a minimum KT/V level of 1.2-1.4 is now thought to be necessary.

Age Factors↗
PubMed1995

Kinetic modelling of liposome degradation in peritoneal macrophages.

The objective of this study was to quantify and model the degradation process of liposomes in peritoneal macrophages (PMs). Iodinated albumin (125I-alb) was chosen to be the marker of liposome degradation. The time course of the degradation of free 125I-alb after pinocytosis by PMs followed first-order kinetics with a half-life of 23 min. The degradation of liposomally encapsulated 125I-alb was also quantified. Kinetic modelling of liposome degradation indicated the existence of two kinetically different processes, one with a half-life of 13 min and the other with a half-life of 7.5 h. Comparing the degradation of liposomal and free 125I-alb suggested that 125I-alb was delivered to lysosomes much faster through phagocytosis than pinocytosis. These results indicate that the intracellular degradation kinetics of pinosomes and phagosomes is different. This method can quantify the rate and extent of liposomal degradation in macrophages and provide kinetic information on the intracellular destiny of liposomally encapsulated compounds.

Albumins↗
PubMed2026

Kinetic model of E-P condensates dynamics reveals transcriptional speed, noise, and energy trade-offs.

Gene regulation emerges from the interplay between chromatin architecture and the molecular interactions that connect enhancers to promoters. To study how these interactions shape transcriptional dynamics, we developed a kinetic model that incorporates multivalent enhancer-promoter binding, transcription factor competition, steric constraints, and chromatin accessibility. The model shows that competition among regulatory factors can generate bistable promoter states at the expense of increased transcriptional noise, revealing a direct relationship between bistability and noise levels. It further predicts that promoter response times are fastest in parameter regimes where bistability appears, suggesting that regulatory dynamics supporting two promoter states may intrinsically enable rapid activation. Extending this analysis, we find that intermediate chromatin accessibility and competition between activators and repressors both promote bistable enhancer-bound promoter clusters and fast switching at the cost of higher noise, whereas very high or low accessibility and noncompetitive transcription factors result in monostable expression states. The model also offers a quantitative framework to compare the energetic costs of different regulatory strategies, indicating that, under energy constraints, cells may favor adjusting transcription factor concentrations rather than altering chromatin accessibility, thereby linking energy expenditure to regulatory flexibility and robustness.

Kinetics↗
PubMed1985

Glucose metabolic rate kinetic model parameter determination in humans: the lumped constants and rate constants for [18F]fluorodeoxyglucose and [11C]deoxyglucose.

The rate constants and lumped constants (LCs) for [18F]fluorodeoxyglucose ([18F]FDG) and [11C]deoxyglucose ([11C]DG) were determined in humans for the glucose metabolic rate kinetic model used to measure local cerebral glucose consumption. The mean values (+/- SE) of the LCs for [18F]FDG and [11C]DG are 0.52 +/- 0.028 (n = 9) and 0.56 +/- 0.043 (n = 6), respectively. The mean values (+/- SE) of the rate constants k*1, k*2, k*3, and k*4 for [18F]FDG for gray matter are 0.095 +/- 0.005, 0.125 +/- 0.002, 0.069 +/- 0.002, and 0.0055 +/- 0.0003, respectively. The corresponding values for white matter are 0.065 +/- 0.005, 0.126 +/- 0.003, 0.066 +/- 0.002, and 0.0054 +/- 0.0006, respectively. Using these values and previously published values for the rate constants for [11C]DG, the average whole-brain metabolic rates for glucose in normal subjects measured with [18F]FDG and [11C]DG are 5.66 +/- 0.37 (n = 6) and 4.99 +/- 0.23 (n = 6) mg/100 g/min, respectively. These values are not significantly different (t = 1.56, p greater than 0.10) and agree well with reported values in the literature determined by means of the Kety-Schmidt technique.

Adolescent↗
PubMed2025

Biomathematical enzyme kinetics model of prebiotic autocatalytic RNA networks: degenerating parasite-specific hyperparasite catalysts confer parasite resistance and herald the birth of molecular immunity.

Catalysis and specifically autocatalysis are the quintessential building blocks of life. Yet, although autocatalytic networks are necessary, they are not sufficient for the emergence of life-like properties, such as replication and adaptation. The ultimate and potentially fatal threat faced by molecular replicators is parasitism; if the polymerase error rate exceeds a critical threshold, even the fittest molecular species will disappear. Here we have developed an autocatalytic RNA early life mathematical network model based on enzyme kinetics, specifically the steady-state approximation. We confirm previous models showing that these second-order autocatalytic cycles are sustainable, provided there is a sufficient nucleotide pool. However, molecular parasites become untenable unless they sequentially degenerate to hyperparasites (i.e. parasites of parasites). Parasite resistance-a parasite-specific host response decreasing parasite fitness-is acquired gradually, and eventually involves an increased binding affinity of hyperparasites for parasites. Our model is supported at three levels; firstly, ribozyme polymerases display Michaelis-Menten saturation kinetics and comply with the steady-state approximation. Secondly, ribozyme polymerases are capable of sustainable auto-amplification and of surmounting the fatal error threshold. Thirdly, with growing sequence divergence of host and parasite catalysts, the probability of self-binding is expected to increase and the trend towards cross-reactivity to diminish. Our model predicts that primordial host-RNA populations evolved via an arms race towards a host-parasite-hyperparasite catalyst trio that conferred parasite resistance within an RNA replicator niche. While molecular parasites have traditionally been viewed as a nuisance, our model argues for their integration into the host habitat rather than their separation. It adds another mechanism-with biochemical precision-by which parasitism can be tamed and offers an attractive explanation for the universal coexistence of catalyst trios within prokaryotes and the virosphere, heralding the birth of a primitive molecular immunity.

Kinetics↗
PubMed2000

A kinetic model for the degradation of benzothiazole by Fe3+-photo-assisted Fenton process in a completely mixed batch reactor.

The degradation of benzothiazole in aqueous solution by a photo-assisted Fenton reaction has been studied in a batch reactor in the pH range 2.0 - 3.2 and for H2O2 and Fe(III) concentrations respectively between 1.0 x 10(-3) - 1.5 x 10(-1) and 1.0 x 10(-6) - 4.0 x 10(-6) M. A kinetic model has been developed to predict the decay of benzothiazole at varying reaction conditions. The use of kinetic constants from the literature in the model allows to simulate the system behavior by taking into account the influence of pH, hydrogen peroxide, Fe(III) and sulfate concentrations and the ionic strength.

Benzothiazoles↗
PubMed2005

Pharmacodynamic studies of moxifloxacin and erythromycin against intracellular Legionella pneumophila in an in vitro kinetic model.

BACKGROUND: Newer quinolones are highly active against Legionella pneumophila. Since this pathogen is intracellular, standard in vitro susceptibility tests may not accurately predict clinical efficacy. Few models for studies of intracellular Legionella have been described. In this study, we determined the pharmacodynamic activity of moxifloxacin against intracellular L. pneumophila in comparison with erythromycin. METHODS: A kinetic model for intracellular studies was constructed in which human pharmacokinetics could be simulated. The model consisted of a glass chamber with two exits and a metal rack fitting cell culture inserts. The inserts had a bottom membrane where cells could be cultured while nutrients and antibiotics passed through. The inserts were prepared with a monolayer of HEp-2 cells, which were exposed to a culture of L. pneumophila. At regular intervals cells were harvested and lysed, viable intracellular bacteria counted and compared with untreated controls. RESULTS: The MICs were 0.0156 mg/L for moxifloxacin and 0.5 mg/L for erythromycin. The human pharmacokinetics were simulated in the model with a mean initial antibiotic concentration of 2.4 mg/L for moxifloxacin and 8.4 mg/L for erythromycin. The mean half-life was 9 h for moxifloxacin and 3.4 h for erythromycin. At 12 h, a 2 log(10) reduction in bacterial counts was seen in cells treated with moxifloxacin and no regrowth was detected at 24 h. Cells treated with erythromycin showed no reduction in intracellular L. pneumophilia at 12 h or 24 h. In experiments using static concentrations of 9 mg/L of erythromycin, similar results were obtained. CONCLUSIONS: In this model, moxifloxacin exerts a significantly better antibacterial effect against intracellular L. pneumophila compared with erythromycin.

Aza Compounds↗
PubMed2005

Thermal decomposition of ethylene oxide: potential energy surface, master equation analysis, and detailed kinetic modeling.

The unimolecular decomposition of ethylene oxide (oxirane) and the oxiranyl radial is examined by molecular orbital calculations, Rice-Ramsperger-Kassel-Marcus (RRKM)/Master Equation analysis, and detailed kinetic modeling of ethylene oxide pyrolysis in a single-pulse shock tube. It was found that the largest energy barrier to the decomposition of ethylene oxide lies in its initial isomerization to form acetaldehyde, and in agreement with previous studies, the isomerization was found to proceed through the *CH2CH2O* biradical. Because of the biradical nature of the transition states and intermediate, the energy barriers for the initial C-O rupture in ethylene oxide and the subsequent 1,2-H shift remain highly uncertain. An overall isomerization energy barrier of 59 +/- 2 kcal/mol was found to satisfactorily explain the available single pulse shock tube data. This barrier height is in line with the estimates made from an approximate spin-corrected procedure at the MP4/6-31+G(d) and QCISD(T)/6-31G(d) levels of theory. The dominant channel for the unimolecular decomposition of ethylene oxide was found to form CH3 + HCO at around the ambient pressure. It accounts for >90% of the total rate constant for T > 800 K. The high-pressure limit rate constant for the unimolecular decomposition of ethylene oxide was calculated as k(1,infinity)(s(-1)) = (3.74 x 10(10))T(1.298)e(-29990/T) for 600 < T < 2000 K.

Journal Article↗
PubMed2002

Kinetic model of BiP- and PDI-mediated protein folding and assembly.

A mechanism for heavy chain binding protein (BiP)- and protein disulfide isomerase (PDI)- mediated protein folding and assembly has been proposed. It considers BiP chaperoning action and PDI catalytic activity. A kinetic model has been developed based on the proposed mechanism. The model was used for quantifying the influence of polypeptide concentration and ratio, and the effect of BiP and PDI concentration on the kinetics of folding and assembly. An optimum value for polypeptide concentration that minimizes assembly times was found, and different kinetic behaviors were identified for polypeptide concentrations higher or lower than the optimum. Pulse-chase experiments and the dependence of assembly time on unassembled polypeptides ratio predicted by the model are similar to those found during in vitro and in vivo folding and assembly of antibodies and human chorionic gonadotropin (hCG), as well as bovine pancreatic trypsin inhibitor (BPTI) folding. The model also explains the increase in folding and assembly rates during overexpression of BiP and PDI.

Animals↗
PubMed1979

Thyroid purine nucleoside phosphorylase. II. Kinetic model by alternate substrate and inhibition studies.

Nucleoside analog inhibition studies have been conducted on thyroidal purine nucleoside phosphorylase (purine-nucleoside:orthophosphate ribosyltransferase, EC 2.4.2.1) which catalyzed an ordered bi-bi type mechanism where the first substrate is inorganic phosphate and the last product is ribose 1-phosphate. Heterocyclic- and carbohydrate-modified nucleoside inhibitors demonstrate mixed type inhibition suggesting such analogs show an affinity (Ki) for the free enzyme. A kinetic model is proposed which supports the observed inhibition patterns. These studies together with alternate substrate studies indicate that nucleoside binding requires a functional group capable of hydrogen bonding at the 6-position of the purine ring and that the orientation of the bound substrate may be syn. Proper geometry of the phosphate is dependent upon the 3'-substituent to the orientated below the furanose ring. The 5'-hydroxyl group is required for substrate activity. The proposed rate limiting step of the phosphorylase mechanism is the enzymatic protonation of the 7-N position of the nucleoside.

Animals↗