Hyperbolic Function (hyperbolic + function)

Distribution by Scientific Domains


Selected Abstracts


The retrograde inhibition of IPSCs in rat cerebellar Purkinje cells is highly sensitive to intracellular Ca2+

EUROPEAN JOURNAL OF NEUROSCIENCE, Issue 3 2000
Maike Glitsch
Abstract The Ca2+ -dependent retrograde inhibition of inhibitory postsynaptic currents (depolarization-induced-suppression of inhibition; DSI) was investigated using fura-2 Ca2+ measurements and whole-cell patch-clamp recordings in rat cerebellar Purkinje cells. DSI was studied in cells loaded with different concentrations of the Ca2+ chelators BAPTA and EGTA. A concentration of 40 m m BAPTA was required to significantly interfere with DSI, whereas 10 m m BAPTA was almost ineffective. 40 m m EGTA reduced DSI, but was less effective than 40 m m BAPTA. Ratiometric Ca2+ measurements indicated that the extent of DSI depended critically on the changes in intracellular calcium ([Ca2+]i). The relationship between DSI and peak ,[Ca2+]i could be approximated by a hyperbolic function, with apparent half-saturation concentrations of 200 and 40 n m for dendritic and somatic [Ca2+]i, respectively. It is suggested that DSI is due to somatodendritic exocytosis of a retrograde messenger, and that this exocytosis is highly sensitive to [Ca2+]i. [source]


Modelling of cement suspension flow in granular porous media

INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 7 2005
Z. Saada
Abstract A theoretical model of cement suspensions flow in granular porous media considering particle filtration is presented in this paper. Two phenomenological laws have been retained for the filtration rate and the intrinsic permeability evolution. A linear evolution with respect to the volume fraction of cement in the grout has been retained for the filtration rate. The intrinsic permeability of the porous medium is looked for in the form of a hyperbolic function of the porosity change. The model depends on two phenomenological parameters only. The equations of this model are solved analytically in the one-dimensional case. Besides, a numerical resolution based on the finite element method is also presented. It could be implemented easily in situations where no analytical solution is available. Finally, the predictions of the model are compared to the results of a grout injection test on a long column of sand. Copyright © 2005 John Wiley & Sons, Ltd. [source]


Social discounting and delay discounting

JOURNAL OF BEHAVIORAL DECISION MAKING, Issue 1 2008
Howard Rachlin
Abstract Social discounting was measured as the amount of money a participant was willing to forgo to give a fixed amount (usually $75) to another person. In the first experiment, amount forgone was a hyperbolic function of the social distance between the giver and receiver. In the second experiment, degree of social discounting was an increasing function of reward magnitude whereas degree of delay discounting was a decreasing function of reward magnitude. In the third experiment, the shape of the function relating delayed rewards to equally valued immediate rewards for another person was predicted from individual delay and social discount functions. All in all, the studies show that the social discount function, like delay and probability discount functions, is hyperbolic in form. Copyright © 2007 John Wiley & Sons, Ltd. [source]


Hydrogen cyanide release during feeding of generalist and specialist lepidopteran larvae on a cyanogenic plant, Passiflora capsularis

PHYSIOLOGICAL ENTOMOLOGY, Issue 4 2006
MIGUEL E. ALONSO AMELOT
Abstract The hydrogen cyanide-based interaction of a strongly cyanogenic plant, Passiflora capsularis, and larvae of two insect herbivores, a generalist (Spodoptera frugiperda) and a specialist (Heliconius erato), is examined in terms of the combined kinetics of the feeding process and the simultaneous hydrogen cyanide (HCN) liberation, as compared with the natural kinetics of hydrogen cyanide evolution by plant-leaf tissue. There are marked differences in acceptance of P. capsularis by third-instar larvae of specialist and generalist species. The former, H. erato, display a parsimonious ingestion rate of 0.74 ± 0.15 mg (fresh weight) min,1 comprising 18% active feeding time, whereas S. frugiperda larvae show a more erratic and restrained feeding involving 4% of the time at 0.45 ± 0.14 mg min,1. These S. frugiperda larvae ingest 124.4 ± 8.3 mg (fw) of the non-cyanogeneic Spinacia oleracea leaves in 24 h compared with only 74.7 ± 20.1 mg of P. capsularis in the same period. The total hydrogen cyanide released naturally from wild specimens of P. capsularis plants is in the range 326,3901 ,g g,1. Hydrogen cyanide evolution from macerated P. capsularis leaves takes place along a hyperbolic function with time and initial velocities of cyanide evolution are a linear function of total hydrogen cyanide. When feeding on P. capsularis leaves, H. erato releases only a minor fraction relative to total hydrogen cyanide (0.09%) and to the anticipated cyanide from the initial velocity (7%). By contrast, S. frugiperda evokes 5.8-fold more than the anticipated hydrogen cyanide release from the plant. The findings are interpreted as diverging strategies by generalist and specialist insects in the utilization of hydrogen cyanide in cyanogenic plants. [source]


Delay discounting determines delivery fees in an e-commerce simulation: A behavioral economic perspective

PSYCHOLOGY & MARKETING, Issue 2 2005
Donald A. Hantula
Participants ordered music CDs and bargained for delivery time and fees in a simulated on-line store. After ordering a CD, participants engaged in a delivery-fee bargaining task that was embedded in a psychophysical up,down staircase titration procedure in which options of next-day delivery for a fee and delayed free delivery were made more or less attractive based on previous choices. A hyperbolic function derived from the matching law fit the data. These results are consistent with a behavioral-economic account of intertemporal choice in which delivery fees are seen as a swap of money for time. © 2005 Wiley Periodicals, Inc. [source]