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Several Equations (several + equation)
Selected AbstractsPredictive Equations for Dielectric Properties of NaCl, D-sorbitol and Sucrose Solutions and Surimi at 2450 MHzJOURNAL OF FOOD SCIENCE, Issue 6 2002P. Yaghmaee And ABSTRACT: Variation in dielectric properties of aqueous solutions with different concentrations and ratios of NaCl, D-sorbitol, and sucrose were investigated at 21 °C using the open-ended coaxial probe technique at 2450 MHz. Several equations to estimate dielectric properties of mixed or pure solutions were formulated. The equations were tested with other concentrations of solutions and surimi as a food sample containing the solutes. The correlation between the new measured dielectric properties and the calculated values were analyzed using a General Linear Model. The resultant prediction equations are suitable for pure and mixed aqueous solutions of (0 to 6%) NaCl, (0 to 18%) D-sorbitol and (0 to 60%) sucrose. For surimi, only loss factor was successfully predicted. [source] Noninvasive assessment of energy expenditure in childrenAMERICAN JOURNAL OF HUMAN BIOLOGY, Issue 5 2006Isabelle Sarton-Miller This study establishes an affordable, simple, and noninvasive method to assess energy expenditure (EE) in children, an underrepresented group. The method is based on regression modeling, where prediction of oxygen consumption (VO2), a proxy of EE, was deduced from heart rate (HR) and several variables that adjusted for interindividual variability. Limb activities (arms vs. legs) and posture (sitting vs. standing) were represented in the regression as dichotomous covariates. The order of activities and intensities was randomized. Seventy-four children (aged 7,10 years), raised at sea-level (Seattle, WA), comprised the sample. Anthropometric measures were taken, and VO2 and HR were measured for activities using the arms in sitting and standing positions (mixing and punching), as well as walking at different velocities on a treadmill. Repeated measures and least square regression estimation were used. HR, body mass, number of hours of physical activity per week (HPA), an interaction term between sitting and standing resting HR, and the two dichotomous variables, sex and limbs, were significant covariates; posture was not. Several equations were developed for various field uses. The equations were built from sea-level data, but ultimately this method could serve as a baseline for developing a similar approach in other populations, where noninvasive estimation of EE is imperative in order to gain a better understanding of children's energetic issues. Am. J. Hum. Biol. 18:600,609, 2006. © 2006 Wiley-Liss, Inc. [source] In Situ Measurement of Pinna nobilis Shells for Age and Growth Studies: A New DeviceMARINE ECOLOGY, Issue 3 2002José Rafael García-March Abstract. Pinna nobilis Linnaeus 1758 is an endemic bivalve mollusc in the Mediterranean Sea, where it inhabits seagrass meadows, especially Posidonia oceanica (L.) Delile. It is the largest bivalve in the Mediterranean, reaching lengths up to 120,cm. In its natural habitat, P. nobilis lives with the anterior part of the valve buried in the seabed, attached to Posidonia rhizomes by byssus threads. This habit makes it impossible to measure its total length directly in situ. As the only way to determine the individual age is the relationship between age and total length, several equations have been proposed to estimate total length by relating it to the unburied parts of the shell. Such measurements are essential to ecological studies that consider age, growth, and population dynamics, and that evaluate the environmental factors that affect this species. Accurately estimating total length depends on the accuracy and precision of the method employed to measure the unburied shell parts. In this paper, we point out the lack of precision of the instruments and methods used until now; we also demonstrate the reason for this imprecision. A new device to measure unburied parts of Pinna nobilis with a precision comparable to that obtained when measuring extracted valves is described. This device is unaffected by substratum type and reduces measurement time. The latter is a very important feature, because these procedures are usually performed whilst SCUBA diving. Finally, a growth equation has been fitted to the measurements obtained with the new device from a population located in Moraira (Alicante, western Mediterranean). [source] Designing for topical delivery: Prodrugs can make the differenceMEDICINAL RESEARCH REVIEWS, Issue 6 2003Kenneth B. Sloan Abstract It has been shown for homologous series of prodrugs that those members who were the more water soluble ones gave the greatest enhancement in topical delivery of the parent drug and not the more lipophilic ones. However, until recently models for topical delivery and equations to predict topical delivery focused only on lipid solubility (SLIPID) or partition coefficient (KOCT:AQ) and molecular volume (or molecular weight, MW) as parameters. Now several equations (transformed Potts,Guy or Series/Parallel) have been developed which include aqueous solubility (SAQ) as a parameter for predicting flux through skin. Experimental fluxes, solubilities, and MW from seven series of prodrugs have been fit to the transformed Potts,Guy equation to give coefficients for log solubility in isopropyl myristate (log SIPM) and log solubility in water (log SAQ) (0.53 and 0.47, respectively) which show, for parent drugs delivered by prodrugs from IPM in vitro through hairless mouse skin, that water solubility is almost as important as lipid solubility. When the transformed Potts,Guy equation was fit to data for the delivery of NSAID from mineral oil (MO) in vivo through human skin, the coefficients were 0.72 log SMO and 0.28 log SAQ. When the transformed Potts,Guy equation was fit to data for the delivery of their parent drugs by three series of prodrugs from water in vitro through hairless mouse skin the coefficients were 0.66 log SIPM and 0.34 log SAQ. Numerous recent examples are also given where more water-soluble members of homologous series of prodrugs give higher flux values from water vehicles in vitro through human skin than the more lipid soluble ones. © 2003 Wiley Periodicals, Inc. Med Res Rev, 23 No. 6, 763,793, 2003 [source] Residuated logics based on strict triangular norms with an involutive negationMLQ- MATHEMATICAL LOGIC QUARTERLY, Issue 3 2006Petr Cintula Abstract In general, there is only one fuzzy logic in which the standard interpretation of the strong conjunction is a strict triangular norm, namely, the product logic. We study several equations which are satisfied by some strict t-norms and their dual t-conorms. Adding an involutive negation, these equations allow us to generate countably many logics based on strict t-norms which are different from the product logic. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source] | |||||||||||||