Effets des supplémentations en calcium et vitamine D sur la maladie cardiovasculaire. [Effects of calcium and vitamin D supplementations on cardiovascular disease: review article].

Studies exploring the effect of calcium supplementation on cardiovascular risk suggest that systolic blood pressure decreases with supplementation. A lower calcium intake has been associated with an increased risk of stroke. By contrast, calcium supplementation may increase the risk of myocardial infarction. The effect of vitamin D supplementation on blood pressure is still unclear and no effect of vitamin D supplementation on coronary heart disease or stroke has been clearly demonstrated. There is a lack of randomized clinical trials primarily addressing the effect of these parameters on CVD. Currently, the use of calcium and vitamin D supplementations for the prevention of cardiovascular disease is not justified.

Association of calcemia and serum vitamin D with 24H-urinary calcium excretion in a swiss population-based study

Background: Elevated urinary calcium excretion is associated with reduced bone mineral density. Population-based data on urinary calcium excretion are scarce. We explored the association of serum calcium and circulating levels of vitamin D (including 25(OH)D2 and 25(OH)D3) with urinary calcium excretion in men and women in a population-based study. Methods: We used data from the "Swiss Survey on Salt" conducted between 2010 and 2012 and including people aged 15 years and over. Twenty-four hour urine collection, blood analysis, clinical examination and anthropometric measures were collected in 11 centres from the 3 linguistic regions of Switzerland. Vitamin D was measured centrally using liquid chromatography - tandem mass spectrometry. Hypercalciuria was defined as urinary calcium excretion >0.1 mmol/kg/24h. Multivariable linear regression was used to explore factors associated with 24-hour urinary calcium excretion (mmol/24h) squared root transformed, taken as the dependant variable. Vitamin D was divided into monthspecific tertiles with the first tertile having the lowest value and the third tertile having the highest value. Results: The 669 men and 624 women had mean (SD) age of 49.2 (18.1) and 47 (17.9) years and a prevalence of hypercalciuria of 8.9% and 8.0%, respectively. In adjusted models, the association of urinary calcium excretion with protein-corrected serum calcium was (β coefficient } standard error, according to urinary calcium squared root transformed) 1.125 } 0.184 mmol/L per square-root (mmol/24h) (P<0.001) in women and 0.374 } 0.224 (P=0.096) in men. Men in the third month-specific vitamin D tertile had higher urinary calcium excretion than men in the first tertile (0.170 } 0.05 nmol/L per mmol/24h, P=0.001) and the corresponding association was 0.048 } 0.043, P= 0.272 in women. Conclusion: About one in eleven person has hypercalciuria in the Swiss population. The positive association of serum calcium with urinary calcium excretion was steeper in women than in men, independently of menopausal status. Circulating vitamin D was associated positively with urinary calcium excretion only in men. The reasons underlying the observed sex differences in the hormonal control of urinary calcium excretion need to be explored in further studies.

Seismic Wave Velocity as a Means of In-Place Density Measurement, Part 1, HR-114

Velocity-density tests conducted in the laboratory involved small 4-inch diameter by 4.58-inch-long compacted soil cylinders made up of 3 differing soil types and for varying degrees of density and moisture content, the latter being varied well beyond optimum moisture values. Seventeen specimens were tested, 9 with velocity determinations made along two elements of the cylinder, 180 degrees apart, and 8 along three elements, 120 degrees apart. Seismic energy was developed by blows of a small tack hammer on a 5/8-inch diameter steel ball placed at the center of the top of the cylinder, with the detector placed successively at four points spaced 1/2-inch apart on the side of the specimen involving wave travel paths varying from 3.36 inches to 4.66 inches in length. Time intervals were measured using a model 217 micro-seismic timer in both laboratory and field measurements. Forty blows of the hammer were required for each velocity determination, which amounted to 80 blows on 9 laboratory specimens and 120 blows on the remaining 8 cylinders. Thirty-five field tests were made over the three selected soil types, all fine-grained, using a 2-foot seismic line with hammer-impact points at 6-inch intervals. The small tack hammer and 5/8-inch steel ball was, again, used to develop seismic wave energy. Generally, the densities obtained from the velocity measurements were lower than those measured in the conventional field testing. Conclusions were reached that: (1) the method does not appear to be usable for measurement of density of essentially fine-grained soils when the moisture content greatly exceeds the optimum for compaction, and (2) due to a gradual reduction in velocity upon aging, apparently because of gradual absorption of pore water into the expandable interlayer region of the clay, the seismic test should be conducted immediately after soil compaction to obtain a meaningful velocity value.

TRPM5-mediated calcium uptake regulates mucin secretion from human colon goblet cells

Mucin 5AC (MUC5AC) is secreted by goblet cells of the respiratory tract and, surprisingly, also expressed de novo in mucus secreting cancer lines. siRNA-mediated knockdown of 7343 human gene products in a human colonic cancer goblet cell line (HT29-18N2) revealed new proteins, including a Ca(2+)-activated channel TRPM5, for MUC5AC secretion. TRPM5 was required for PMA and ATP-induced secretion of MUC5AC from the post-Golgi secretory granules. Stable knockdown of TRPM5 reduced a TRPM5-like current and ATP-mediated Ca(2+) signal. ATP-induced MUC5AC secretion depended strongly on Ca(2+) influx, which was markedly reduced in TRPM5 knockdown cells. The difference in ATP-induced Ca(2+) entry between control and TRPM5 knockdown cells was abrogated in the absence of extracellular Ca(2+) and by inhibition of the Na(+)/Ca(2+) exchanger (NCX). Accordingly, MUC5AC secretion was reduced by inhibition of NCX. Thus TRPM5 activation by ATP couples TRPM5-mediated Na(+) entry to promote Ca(2+) uptake via an NCX to trigger MUC5AC secretion

Role of CLOCK and circadian rhythms in calcium homeostasis

Le maintien d'une concentration sanguine constante de calcium est d'une importance cruciale et trois organes participent à la balance calcique normale : les reins, les intestins et les os. La concentration plasmatique de calcium est strictement régulée par l'hormone parathyroïdienne (PTH) et par la vitamine D. Des variations circadiennes de la PTH, de la vitamine D ainsi que du calcium plasmatique ont été décrites précédemment chez l'humain ainsi que chez le rat. Ces rythmes de PTH dans le sérum sont importants pour la régulation du remodelage de l'os. En effet, il a été montré chez les souris C57BL/6J que des injections de PTH une fois par jour mènent à une augmentation de la densité minérale de l'os alors que l'infusion en continu de PTH est associée à une diminution de cette densité. La vitamine D joue également un rôle fondamental dans la physiologie osseuse, car un déficit en vitamine D peut conduire à une ostéomalacie. Cependant la fonction des oscillations de vitamine D au niveau de l'homéostasie osseuse reste inconnue. L'horloge circadienne est un système interne de contrôle biologique du temps générant des rythmes de 24 heures dans l'expression des gènes, ainsi que dans la physiologie et le comportement. Ce contrôle s'opère par des boucles rétroactives positives et négatives de l'expression de gènes circadiens tels que CLOCK, BMAL1, CRY1 et 2 ou PERI et 2. Dans ce travail, nous avons émis l'hypothèse que l'homéostasie calcique est sous le contrôle de l'horloge circadienne. Dans un premier temps, nous avons montré chez les souris C57BL/6J des variations journalières des concentrations de calcium, de PTH et de vitamine D dans le sang, ainsi que de calcium dans les urines. Nous avons également démontré des changements au niveau de l'expression rénale des gènes importants dans l'homéostasie du calcium, tant au niveau de l'ARN messager que des protéines. Ensuite, pour analyser le rôle du système de l'horloge circadienne dans l'homéostasie du calcium, nous avons étudié des souris dans lesquelles a été supprimé le gène CLOCK crucial pour la fonction de l'horloge et nous avons comparé ces souris à des souris de type sauvage de même portée. Les souris CLOCK-I- étaient hypercalciuriques à chaque moment de la journée. Cependant le rythme circadien de l'excrétion de calcium était préservé. Le taux de calcium plasmatique ne différait pas entre les génotypes, mais les souris CLOCK -/- ne montraient pas de variations journalières de ce paramètre. Une perte du rythme journalier était également observée pour les niveaux de vitamine D, perte qui pourrait être une cause de l'altération de la micro-architecture osseuse révélée chez les souris CLOCK-/-. En effet, ces souris montrent une diminution du nombre de trabécules, de leur volume ainsi que de leur surface, ce qui suggère la présence d'ostéoporose. Nous avons également trouvé que le rythme de l'expression de l'ARN messager de CYP27B1 était aboli dans les reins des souris CLOCK -/-, ce qui peut expliquer l'altération du rythme de la vitamine D. Les taux sanguins de PTH étaient comparables entre les souris CLOCK -/- et de type sauvage. Dans les reins, une augmentation de l'expression de l'ARN messager de TRPV5 et NCX1 a été constatée, ce qui suggérerait une augmentation de la réabsorption de calcium dans le tubule convoluté distal et dans le tubule connecteur. Dans les intestins, la réabsorption calcique était diminuée, chez les souris CLOCK-I-, fait confirmé par une diminution des niveaux d'ARN messager de TRPV6 et PMCAL. En résumé, la suppression du gène CLOCK chez les souris a conduit à une hypercalciurie, une altération du rythme des taux plasmatiques de calcium et de vitamine D et à une détérioration de l'architecture osseuse. Pour conclure, ces résultats montrent que l'horloge circadienne est essentielle à l'homéostasie calcique ainsi qu'à la physiologie des os. - L'ostéoporose affecte environ 22 millions de femmes et 5.5 millions d'hommes en Europe, réduisant significativement leur qualité de vie et a causé 3.5 millions de nouvelles fractures en 2010. Les dépenses totales liées à ces fractures ont atteint 37 milliards d'euro et ce coût devrait augmenter de 25% d'ici à 2025. Le nombre de nouvelles fractures dues à l'ostéoporose à travers le monde est estimé à environ 1000 par heure. Parmi les causes de l'ostéoporose, le déficit én calcium et/ou en vitamine D joue un rôle important, mais il existe également des causes génétiques ou liées à des facteurs comme les hormones sexuelles (estrogènes, testostérone), l'âge, le tabac, le poids corporel, certains médicaments,... La vie est rythmique : ceci est dû à l'alternance naturelle du jour et de la nuit et de ses effets sur le corps. La prise alimentaire, par exemple, est un processus qui a lieu pendant la phase active, qui est prévisible (il se produit toujours au même moment) et qui peut être anticipé par le corps. Pour cela, une horloge interne est présente dans chaque cellule du corps et est synchronisée par la lumière du jour, entre autres stimuli. Cette horloge indique la phase du jour et régule l'expression de gènes impliqués dans les différents processus qui nécessitent une anticipation. Pendant mon travail de thèse, je me suis demandé si des îythmes circadiens (c'est-à-dire d'une durée d'environ 24 heures et indépendants des stimuli externes) étaient observables'pour les gènes régulant les flux de calcium dans le corps et si l'interruption de ces rythmes pouvait mener à des altérations de la qualité de l'os. J'ai d'abord travaillé avec des souris normales et j'ai pu montrer la présence de rythmes au niveau du calcium sanguin et urinaire, mais également au niveau des hormones et gènes qui contrôlent le métabolisme du calcium dans le corps, comme la vitamine D et l'hormone parathyroidienne. De manière intéressante, j'ai observé que la plupart de ces gènes ont un rythme synchronisé. J'ai ensuite utilisé un modèle de souris dans lequel l'horloge interne a été génétiquement invalidée et j'ai montré que ces souris présentent une augmentation de leur excrétion urinaire de calcium et un rythme circadien altéré de la vitamine D dans le sang. Ces souris absorbent aussi moins bien le calcium intestinal et présentent une ostéoporose marquée. Ce travail montre donc que l'horloge interne est nécessaire pour établir un rythme circadiens de certains facteurs influant les flux de calcium dans l'organisme, comme la vitamine D, et que la perturbation de ces rythmes mène à une dérégulation du métabolisme osseux. Ainsi, la perturbation de l'horloge interne peut causer une ostéoporose et une hypercalciurie qui pourraient aboutir à la formation de fractures et de calculs rénaux. L'extrapolation de ces observations chez l'homme ou à des changements plus subtiles des rythmes circadiens, comme le décalage horaire, restent à montrer. Cette recherche a démontré que les rythmes circadiens des mécanismes de régulation des flux de calcium dans l'organisme sont essentiels au maintien d'un squelette normal et suggère que les perturbations des rythmes circadiens pourraient être une nouvelle cause de l'ostéoporose. - Maintaining constant calcium concentration in the plasma is of a crucial importance and three organs participate in normal calcium balance - kidney, gut and bone. Plasma calcium concentration is strictly regulated by parathyroid hormone (PTH) and vitamin D. Circadian variations of PTH, vitamin D and plasma calcium were previously described in humans, as well as in rats. Rhythms in serum PTH are important for balanced bone remodelling. Indeed in C57BL/6J mice, PTH injection once per day leads to an increase in bone mineral density (BMD), whilst continuous infusion is associated with decreased BMD. Vitamin D also plays a crucial role in bone physiology, since the deficiency in vitamin D can lead to rickets/osteomalacia. However, the role of vitamin D rhythms in bone homeostasis remains unknown. The circadian clock is an. internal time-keeping system generating rhythms in gene expression with 24h periodicity, in physiology and in behaviour. It is operated by positive- and negative-feedback loops of circadian genes, such as CLOCK, BMAL1, CRY1 and 2 or PERI and 2. In this work, we hypothesized, that calcium homeostasis is under the control of the circadian clock. First, we showed daily variations in urinary calcium and serum calcium, PTH and l,25(OH)2 vitamin D, together with renal mRNA and protein levels of genes involved in calcium homeostasis in C57BL/6J mice. Second, and to investigate the role of the circadian clock system in calcium handling, we studied mice lacking the gene CLOCK crucial for fonction of the clock system and compared them to the WT littermates. CLOCK-/- mice were hypercalciuric at all timepoints of the day. However, the circadian rhythm of calcium excretion was preserved. Serum calcium levels did not differ between the genotypes, but CLOCK-/- mice did not exhibit daily variation for this parameter. Loss of rhythm was observed also for serum l,25(OH)2 vitamin D levels, which may be one of the causes of altered bone microarchitecture that was revealed in CLOCK-/- mice. They displayed increased trabecular separation and decreased trabecular number, trabecular bone volume and trabecular bone surface, suggestive of osteoporosis. We found that the rhythm of the mRNA expression of CYP27B1 was abolished in the kidney of CLOCK-/- mice, which could induce the altered rhythm of l,25(OH)2 vitamin. Serum PTH levels were comparable between CLOCK-/- and WT mice. In the kidney, increased mRNA expression of TRPV5 and NCX1 suggests increased calcium reabsorption in the distal convoluted and connecting tubule. In the gut, intestinal calcium absorption was decreased in CLOCK¬/- mice, confirmed by decreased mRNA levels of TRPV6 and PMCA1. In summary, deletion of the CLOCK gene in mice conducts to hypercalciuria, alteration of the rhythm in serum calcium and l,25(OH)2D levels, and impainnent of their bone microarchitecture. In conclusion, these data show that the circadian clock system is essential in calcium homeostasis and bone physiology.

Gériatrie [Geriatry]

This review discuss several studies published in 2007 that will modify current therapeutic attitudes. New evidence confirm that antipsychotics increase mortality in demented elderly persons with behavioral symptoms. Unfortunately, donepezil was no more effective than placebo to treat agitation in these patients. Aspirine, nonsteroidal anti-inflammatories, as well as supplementation with folate, vitamines B6 and B12 did not prove beneficial to prevent cognitive decline. Hormonal substitution with DHEA, testosterone, and growth hormone is ineffective as anti-aging medicine, while calcium and vitamin d'effectiveness was confirmed in fracture prevention. Finally, several studies report prognostic information that will prove important to improve preparation plan for future heat wave.

Alkaline mineral water lowers bone resorption even in calcium sufficiency: alkaline mineral water and bone metabolism.

BACKGROUND: Dietary acid charge enhances bone loss. Bicarbonate or alkali diet decreases bone resorption in humans. We compared the effect of an alkaline mineral water, rich in bicarbonate, with that of an acid one, rich in calcium only, on bone markers, in young women with a normal calcium intake. METHODS: This study compared water A (per litre: 520 mg Ca, 291 mg HCO(3)(-), 1160 mg SO(4)(-), Potential Renal Acid load (PRAL) +9.2 mEq) with water B (per litre: 547 mg Ca, 2172 mg HCO(3)(-), 9 mg SO(4)(-), PRAL -11.2 mEq). 30 female dieticians aged 26.3 yrs (SD 7.3) were randomized into two groups, followed an identical weighed, balanced diet (965 mg Ca) and drank 1.5 l/d of the assigned water. Changes in blood and urine electrolytes, C-telopeptides (CTX), urinary pH and bicarbonate, and serum PTH were measured after 2 and 4 weeks. RESULTS: The two groups were not different at baseline, and showed a similar increase in urinary calcium excretion. Urinary pH and bicarbonate excretion increased with water B, but not with water A. PTH (p=0.022) and S-CTX (p=0.023) decreased with water B but not with water A. CONCLUSION: In calcium sufficiency, the acid calcium-rich water had no effect on bone resorption, while the alkaline water rich in bicarbonate led to a significant decrease of PTH and of S-CTX.

Selection of common bean lines with high agronomic performance and high calcium and iron concentrations

The objective of this work was to evaluate the genetic variability of common bean lines for cycle, weight of 100 grains, grain yield, cooking time, and grain calcium and iron concentrations. Twenty-four common bean lines were evaluated in two crop cycles (2010 and 2011). The ¯Z index was used for the selection of superior lines for most of the traits. The DF 06-19, DF 06-03, DF 06-17, DF 06-20, DF 06-11, DF 06-14, DF 06-01, DF 06-08, DF 06-22, and DF 06-04 lines showed high grain yield. All lines were of semi-early cycle and of fast cooking. The DF 06-08 and DF 06-23 lines showed high calcium concentration in grains (>1.4 g kg-1 dry matter - DM), and the DF 06-09, DF 06-03, DF 06-04, and DF 06-06 lines presented high iron concentration in grains (>0.95 g kg-1 DM) in the two crop cycles. The DF 06-09 and DF 06-03 carioca lines present high agronomic performance and high iron concentration in grains. The DF 06-17 and DF 06-08 black lines present high agronomic performance and high calcium concentration in grains. The selection of the DF 06-09, DF 06-03, DF 06-17, and DF 06-08 lines is recommended.

P-wave velocities of samples from the Penninic of the western Alps along NFP20-west seismic-reflection profiles

Using the transit pulse method, we have determined compressional wave velocities of rocks from various geological units belonging to the Penninic zone along the NFP20-West profiles of the Swiss western Alps. The velocities have been measured at confining pressures up to 400 MPa, along three orthogonal axes defined by the macrostructure of the rocks. The samples analysed show a degree of metamorphism ranging from greenschist to eclogite facies. This collection includes schists, dolomites, gneisses and ophiolitic rocks. The mean velocities range from 5.9 km/s for a quartzitic calcschist to 7.9 km/s for an eclogitic metagabbro. The velocity anisotropy is as high as 20 %. The range of acoustic impedance is wide, from 15 to 27 10(6) kg/m2s. From these measurements, normal incident reflection coefficients for likely rock assemblages within and between geological units were estimated in order to interpret zone of the strong reflections recorded along the seismic profiles. Reflection coefficients as high as 0.17 could be determined.

Optical evidence for the proximity to a spin-density-wave metallic state in Na0.7CoO2

We present the optical properties of Na0.7CoO2 single crystals, measured over a broad spectral range as a function of temperature (T). The capability to cover the energy range from the far-infrared up to the ultraviolet allows us to perform reliable Kramers-Kronig transformation, in order to obtain the absorption spectrum (i.e., the complex optical conductivity). To the complex optical conductivity we apply the generalized Drude model, extracting the frequency dependence of the scattering rate (Gamma) and effective mass (m*) of the itinerant charge carriers. We find that Gamma(omega) at low temperatures and for similar to omega. This suggests that Na0.7CoO2 is at the verge of a spin-density-wave metallic phase.

T-wave alternans predicts mortality in a population undergoing a clinically indicated exercise test.

Eur Heart J. 2007 Oct;28(19):2332-7. Epub 2007 Jul 25.

Prohexadione calcium on the growth and quality of eggplant seedlings

Abstract:The objective of this work was to evaluate the effects of prohexadione calcium concentrations on the growth and quality of eggplant (Solanum melongena) seedlings. The effects of prohexadione calcium concentrations of 0, 50, 100, or 150 mg L-1 on seedling growth parameters were evaluated in a greenhouse experiment. After the greenhouse experiment, the seedlings were transplanted to the field. During the field experiment, the number of days to flowering, plant height, number of fruits per plant, average fruit weight and yield were evaluated. Both experiments were carried out in a completely randomized design with four replicates. All prohexadione calcium concentrations significantly reduced shoot height and internode length, when compared to the control. The concentrations of 50, 100, and 150 mg L-1 prohexadione calcium reduced shoot height by 27, 32, and 38%, respectively. Prohexadione calcium treatments (except the one with 50 mg L-1) enhanced relative chlorophyll content of leaves in comparison to the control. There were no delays in flowering and no significant differences in number of fruits per plant among treatments with prohexadione calcium. The concentrations of 100 and 150 mg L-1 prohexadione calcium significantly reduced yield per plant and total fruit yield, whereas the concentration of 50 mg L-1 did not cause any change in yield compared to the control. The lowest prohexadione calcium concentration can be used to control excessive elongation of eggplant seedlings without yield loss.

Multi-analyte detection for biological fluids. Towards continous monitoring of glucose, ionized calcium and pH using a viscometric affinity biosensor.

We present a viscometric affinity biosensor that can potentially allow continuous multi-analyte monitoring in biological fluids like blood or plasma. The sensing principle is based on the detection of viscosity changes of a polymeric solution which has a selective affinity for the analyte of interest. The chemico-mechanical sensor incorporates an actuating piezoelectric diaphragm, a sensing piezoelectric diaphragm and a flow-resisting microchannel for viscosity detection. A free-standing Anodic Alumina Oxide (AAO) porous nano-membrane is used as selective interface. A glucose-sensitive sensor was fabricated and extensively assessed in buffer solution. The sensor reversibility, stability and sensitivity were excellent during at least 65 hours. Results showed also a good degree of stability for a long term measurement (25 days). The sensor behaviour was furthermore tested in fetal bovine serum (FBS). The obtained results for glucose sensing are very promising, indicating that the developed sensor is a candidate for continuous monitoring in biological fluids. Sensitive solutions for ionized calcium and pH are currently under development and should allow multi-analyte sensing in the near future.

The Munc13 proteins differentially regulate readily releasable pool dynamics and calcium-dependent recovery at a central synapse.

The Munc13 gene family encodes molecules located at the synaptic active zone that regulate the reliability of synapses to encode information over a wide range of frequencies in response to action potentials. In the CNS, proteins of the Munc13 family are critical in regulating neurotransmitter release and synaptic plasticity. Although Munc13-1 is essential for synaptic transmission, it is paradoxical that Munc13-2 and Munc13-3 are functionally dispensable at some synapses, although their loss in other synapses leads to increases in frequency-dependent facilitation. We addressed this issue at the calyx of Held synapse, a giant glutamatergic synapse that we found to express all these Munc13 isoforms. We studied their roles in the regulation of synaptic transmission and their impact on the reliability of information transfer. Through detailed electrophysiological analyses of Munc13-2, Munc13-3, and Munc13-2-3 knock-out and wild-type mice, we report that the combined loss of Munc13-2 and Munc13-3 led to an increase in the rate of calcium-dependent recovery and a change in kinetics of release of the readily releasable pool. Furthermore, viral-mediated overexpression of a dominant-negative form of Munc13-1 at the calyx demonstrated that these effects are Munc13-1 dependent. Quantitative immunohistochemistry using Munc13-fluorescent protein knock-in mice revealed that Munc13-1 is the most highly expressed Munc13 isoform at the calyx and the only one highly colocalized with Bassoon at the active zone. Based on these data, we conclude that Munc13-2 and Munc13-3 isoforms limit the ability of Munc13-1 to regulate calcium-dependent replenishment of readily releasable pool and slow pool to fast pool conversion in central synapses.

Isentropic Exergy and Pressure of the Shock Wave Caused by the Explosion of a Pressure Vessel

An accidental burst of a pressure vessel is an uncontrollable and explosion-like batch process. In this study it is called an explosion. The destructive effectof a pressure vessel explosion is relative to the amount of energy released in it. However, in the field of pressure vessel safety, a mutual understanding concerning the definition of explosion energy has not yet been achieved. In this study the definition of isentropic exergy is presented. Isentropic exergy is the greatest possible destructive energy which can be obtained from a pressure vessel explosion when its state changes in an isentropic way from the initial to the final state. Finally, after the change process, the gas has similar pressure and flow velocity as the environment. Isentropic exergy differs from common exergy inthat the process is assumed to be isentropic and the final gas temperature usually differs from the ambient temperature. The explosion process is so fast that there is no time for the significant heat exchange needed for the common exergy.Therefore an explosion is better characterized by isentropic exergy. Isentropicexergy is a characteristic of a pressure vessel and it is simple to calculate. Isentropic exergy can be defined also for any thermodynamic system, such as the shock wave system developing around an exploding pressure vessel. At the beginning of the explosion process the shock wave system has the same isentropic exergyas the pressure vessel. When the system expands to the environment, its isentropic exergy decreases because of the increase of entropy in the shock wave. The shock wave system contains the pressure vessel gas and a growing amount of ambient gas. The destructive effect of the shock wave on the ambient structures decreases when its distance from the starting point increases. This arises firstly from the fact that the shock wave system is distributed to a larger space. Secondly, the increase of entropy in the shock waves reduces the amount of isentropic exergy. Equations concerning the change of isentropic exergy in shock waves are derived. By means of isentropic exergy and the known flow theories, equations illustrating the pressure of the shock wave as a function of distance are derived. Amethod is proposed as an application of the equations. The method is applicablefor all shapes of pressure vessels in general use, such as spheres, cylinders and tubes. The results of this method are compared to measurements made by various researchers and to accident reports on pressure vessel explosions. The test measurements are found to be analogous with the proposed method and the findings in the accident reports are not controversial to it.