Delay decomposition approach to $$\mathcal {H}_{\infty }$$ filtering analysis of genetic oscillator networks with time-varying delays

In this paper, the \(\mathcal {H}_{\infty }\) filtering problem is treated for N coupled genetic oscillator networks with time-varying delays and extrinsic molecular noises. Each individual genetic oscillator is a complex dynamical network that represents the genetic oscillations in terms of complicated biological functions with inner or outer couplings denote the biochemical interactions of mRNAs, proteins and other small molecules. Throughout the paper, first, by constructing appropriate delay decomposition dependent Lyapunov–Krasovskii functional combined with reciprocal convex approach, improved delay-dependent sufficient conditions are obtained to ensure the asymptotic stability of the filtering error system with a prescribed \(\mathcal {H}_{\infty }\) performance. Second, based on the above analysis, the existence of the designed \(\mathcal {H}_{\infty }\) filters are established in terms of linear matrix inequalities with Kronecker product. Finally, numerical examples including a coupled Goodwin oscillator model are inferred to illustrate the effectiveness and less conservatism of the proposed techniques.     

Numerical integration of the equations of motion describing the acceleration of plasma particles in Syrovatski $$\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} $$ 's model of the dynamic current sheet

The acceleration of solar-wind protons in a current sheet in the Earth's magnetotail, in which the geomagnetic field lines reconnect, is investigated numerically using the dynamic current sheet model proposed by S.I. Syrovatski $\overset{\lower0.5em\hbox{$\overset{\lower0.5em\hbox{ . The dynamics of current sheets in the Earth's magnetotail is analyzed. In addition to the known solutions, the solution describing a contracting current sheet is derived. The time evolution of the magnetic field structure in Syrovatski $\overset{\lower0.5em\hbox{$\overset{\lower0.5em\hbox{ 's model is calculated numerically. The energy spectrum of the protons that are accelerated in the sheet by induction electric fields during rapid changes in the sheet topology is calculated and analyzed. A study is made of proton acceleration up to the time when the current sheet ruptures in the course of its evolution.     

The human V pre B gene is located on chromosome 22 near a cluster of {\text{V}}_{\lambda _1 } gene segments

The chromosomal location of the human V _pre B gene was determined by Southern blotting analysis of restriction enzyme-digested DNAs from a panel of 17 mouse-human somatic cell hybrids. The pattern of hybridization of a V_preB-specific probe in conjunction with earlier analysis of several marker genes allowed the following conclusions: 1) V _pre B is on human chromosome 22 within band 22q11.2 distal to the bcr-like gene, bcr-2 and proximal to the bcr-like gene, bcr-4. 2) V_preB has been localized relative to several constitutional and tumor-specific breakpoints within 22q 11.2, segregates in hybrids retaining 22q^–chromosomes with some but not with all members of the subgroup of the V genes, and is amplified with these genes in K562 cells. 3) The order of the loci on chromosome 22 is centromerebcr-2, V _preB, .     

Influence of {\text{NH - }}{{\text{S}}^\gamma } bonding interactions on the structure and dynamics of metallothioneins

Mammalian metallothioneins ( \textM₇^\textIIMTs {\text{M}}_7^{\text{IIMTs}} ) show a clustered arrangement of the metal ions and a nonregular protein structure. The solution structures of Cd₃-thiolate cluster containing β-domain of mouse β-MT-1 and rat β-MT-2 show high structural similarities, but widely differing structure dynamics. Molecular dynamics simulations revealed a substantially increased number of \textNH - \textS^g {\text{NH - }}{{\text{S}}^\gamma } hydrogen bonds in β-MT-2, features likely responsible for the increased stability of the Cd₃-thiolate cluster and the enfolding protein domain. Alterations in the \textNH - \textS^g {\text{NH - }}{{\text{S}}^\gamma } hydrogen-bonding network may provide a rationale for the differences in dynamic properties encountered in the β-domains of MT-1, -2, and -3 isoforms, believed to be essential for their different biological function.     

Three phases of energy-dependent induction of $${\text{P}}_{{700}}^{+}$$ P 700 + and Chl a fluorescence in Tradescantia fluminensis leaves

Photosynthesis Research - In plants, the short-term regulation (STR, seconds to minute time scale) of photosynthetic apparatus is associated with the energy-dependent control in the chloroplast...     

Times to exhaustion at 100% of velocity at [(V)\dot]\textO\text2 \dot V{\text{O}}_{\text{2}} max and modelling of the time-limit / velocity relationship in elite long-distance runners

The aim of this study was to measure running times to exhaustion (Tlim) on a treadmill at 100% of the minimum velocity which elicits _{max max} in 38 elite male long - distance runners _max = 71.4 ± 5.5 ml.kg^–1.min^–1 and _max = 21.8 ± 1.2 km.h^–1). The lactate threshold (LT) was defined as a starting point of accelerated lactate accumulation around 4 mM and was expressed in _max. Tlim value was negatively correlated with _max (r = -0.362, p< 0.05) and _max (r = –0.347, p< 0.05) but positively with LT (%v _max) (r = 0.378, p < 0.05). These data demonstrate that running time to exhaustion at _max in a homogeneous group of elite male long-distance runners was inversely related to _max and experimentally illustrates the model of Monod and Scherrer regarding the time limit-velocity relationship adapted from local exercise for running by Hughson et al. (1984) .     

ROS Scavenging and $${\text{NH}}_{4}^{ + }$$ Nitrogen Fertilizer Roles in Alleviation of Cd-Induced Oxidative Stress in Arabidopsis thaliana

Russian Journal of Plant Physiology - Arabidopsis thaliana (L.) Heynh. receiving ammonium, were transferred on modified Hoagland nutrient solution containing Cd (25 µM) alone or supplemented...     

Growth of Wolinella succinogenes with polysulphide as terminal acceptor of phosphorylative electron transport

Polysulphide was formed according to reaction (1), when tetrathionate was (1) $${\text{S}}_4 {\text{O}}_6^{2 - } + {\text{HS}}^ - \to 2{\text{S}}_2 {\text{O}}_3^{2 - } + {\text{S(O)}} + {\text{H}}^ + $$ added to an anaerobic buffer (pH 8.5) containing excess sulphide. S(O) denotes the zero oxidation state sulphur in the polysulphide mixture S _infn ^sup2- . The addition of formate to the polysulphide solution in the presence of Wolinella succinogenes caused the reduction of polysulphide according to reaction (2). The bacteria grew in a medium containing formate and sulphide, (2) $${\text{HCO}}_2^ - + {\text{S(O)}} + {\text{H}}2{\text{O}} \to {\text{HCO}}_3^ - + {\text{HS}}^ - + {\text{H}}^ + $$ when tetrathionate was continuously added. The cell density increased proportional to reaction (3) which represents the sum of reactions (1) and (3) $${\text{HCO}}_2^ - + {\text{S}}_{\text{4}} {\text{O}}_6^{2 - } + {\text{H}}2{\text{O}} \to {\text{HCO}}_3^ - + 2{\text{S}}_{\text{2}} {\text{O}}_3^{2 - } + 2{\text{H}}^ + $$ (2). The cell yield per mol formate was nearly the same as during growth on formate and elemental sulphur, while the velocity of growth was greater. The specific activities of polysulphide reduction by formate measured with bacteria grown with tetrathionate or with elemental sulphur were consistent with the growth parameters. The results suggest that W. succinogenes grow at the expense of formate oxidation by polysulphide and that polysulphide is an intermediate during growth on formate and elemental sulphur.     

Nutritional strategy for the preferential uptake of $${{\text{NO}}_{3}}^{ - } {\text{{-}N}}$$ NO 3 - -N by Phaeocystis globosa

Hydrobiologia - Phytoplankton productivity standardized to chlorophyll a and photon flux (mg C mg chl. a−1 mol photons−1) of natural communities from northern Bothnian Sea under dynamic...     

Control of struvite precipitation by selective removal of $${\text{NH}}^{{\text{ + }}}_{{\text{4}}} $$ with dialyzer/zeolite in an anaerobic membrane bioreactor

This study focused on the mitigation of membrane fouling caused by struvite precipitation using a dialyzer/zeolite (D/Z) unit in an anaerobic membrane bioreactor. The D/Z unit was designed to selectively remove NH(4)+ ions, one of the main components of the inorganic foulant, struvite. The maximum mass transfer coefficient for NH(4)+ through the dialyzer was estimated to be 0.92 l m(-2)h(-1), whereas the Na-substituted zeolite had the highest ion exchange capacity with respect to ammonium among intact or differently pretreated zeolites. During a single passage of dialysate through the zeolite column, substantial NH(4)+ removal (in excess of 90%) was achieved, leading to the reduction in struvite precipitation in the digester. The D/Z unit played a significant role in controlling struvite precipitation, thereby enhancing permeate flux for the case of the ceramic membrane, in which struvite fouling would be more pronounced compared to the polymeric membrane. For the polymeric membrane, however, no significant improvement in flux was observed even with the D/Z unit because the fouling of the polymeric membrane was mainly due to the deposition of biomass rather than the struvite precipitation.     

Endor characterization and D2O exchange in the \begin{array}{*{20}c} {\mathop Z\nolimits^{\begin{array}{*{20}c} + \\ . \\ \end{array} } } \\ \end{array} /{\kern 1pt} \begin{array}{*{20}c} {\mathop D\nolimits^{\begin{array}{*{20}c} + \\ . \\ \end{array} } } \\ \end{array} radical in photosystem II

The early suggestion by Lozier and Butler (Photochem. Photobiol. 17, 133–137 (1973)) that EPR Signal II arises from radicals associated with the water-splitting process in PSII has been confirmed and extended over the intervening years. Recent work has identified the Signal II radicals, \(\begin{array}{*{20}c} {\mathop D\nolimits^{\begin{array}{*{20}c} + \\ . \\ \end{array} } } \\ \end{array}\) and \(\begin{array}{*{20}c} {\mathop Z\nolimits^{\begin{array}{*{20}c} + \\ . \\ \end{array} } } \\ \end{array}\) , with plastosemiquinone cation species. In the experiments presented here we have used ENDOR spectroscopy and D₂O/H₂O exchange to characterize these paramagnets in more detail. The ENDOR matrix region, which arises from protons which interact weakly with the unpaired electron spin, is well-resolved at 4 K and at least seven resonances are apparent. A number of hyperfine couplings in the 3–8 MHz range are observed and are suggested to arise from methyl or hydroxyl protons which occur as substituents on the plastosemiquinone cation ring or from amino acid protons hydrogen-bonded to the 1,4-hydroxyl groups. Orientation selection experiments are consistent with these possibilities. D₂O/H₂O exchange shows that the D⁺/Z⁺ site is accessible to solvent. However, the exchange occurs slowly and is not complete even after 72 hours which suggests that the free radicals are functionally isolated from solvent water.     

Attenuation of Zn-Induced Acute Pancreatitis in Wistar Rat Fed on Cu- and Mg- Enriched Modified Poultry Egg^{\Psi }

Zinc (Zn) consumption has increased in many populations either due to the increased intake of Zn-fortified foods as in the USA or in agricultural food stuffs as in some Indian states during the last decade. Its excessive intake has been reported to induce acute pancreatitis (AP) in many studies due to increase in oxidative stress that was further reported to cause Cu and Mg deficiencies. This led us to design a modified poultry egg (ME^Ψ) enriched with Cu and Mg along with other antioxidants, and its efficacy on Zn-induced AP was studied in male Wistar rats. In one set, the rats were fed on equacaloric semi-synthetic basal diet containing 20 mg Zn/kg diet (control, group I), and Zn-induced AP-I diet and AP-II diet containing 40 and 80 mg Zn/kg diet (groups II and III) for 180 days, respectively. In another set, the rats were initially fed on Zn-induced AP-I and AP-II diets for 90 days and then shifted to -mixed Zn-induced AP-I and AP-II diets in groups IIME and IIIME for another 90 days. At the end of the experiment, data displayed increased serum and urinary Zn, Cu, and Mg levels in groups II and III rats, which were reduced and approached closer to control group I after feeding in groups IIME and IIIME rats. Transmission electron microscopic studies of acinar cells revealed progressive dilation, vesicularization, and degeneration of endoplasmic reticulum (ER), and decrease in zymogen granules (ZG) in groups II and III rats in contrast to their curvilinear or concentric long parallel running cisternal profile of ER in control group I. The treatment of helped in the restoration of the ER profile and ZG number, approaching closer to the control group I. The degree of recovery was dependent upon the degree of toxicity caused by the amount of Zn given in the diet. The results of this study suggest that -mixed diet can protect the acinar cells from the deleterious effects of Zn by decreasing the oxidative stress. Indian patent application no. 2264/Del/2005.     

Topography of nucleic acid helices in solutions. 3. Interactions of spermine and spermidine derivatives with polyadenylic-polyuridylic and polyinosinic-polycytidylic acid helices

The synthesis of spermine derivatives (II), \documentclass{article}\pagestyle{empty}\begin{document}$ {\rm R}_1 {\rm R}_{\rm 2} {\rm R}_{\rm 3} \mathop {\rm N}\limits^ + \left( {{\rm CH}_2 } \right)_3 \mathop {\rm N}\limits^ + {\rm R}_{\rm 1} {\rm R}_{\rm 2} \left( {{\rm CH}_2 } \right)_2 ]_2 \cdot 4{\rm X}^ - $\end{document}, and spermidine derivatives (III), \documentclass{article}\pagestyle{empty}\begin{document}$ {\rm R}_1 {\rm R}_{\rm 2} {\rm R}_{\rm 3} \mathop {\rm N}\limits^ + \left( {{\rm CH}_2 } \right)_4 \mathop {\rm N}\limits^ + {\rm R}_{\rm 1} {\rm R}_{\rm 2} \left( {{\rm CH}_2 } \right)_3 \mathop {\rm N}\limits^ + {\rm R}_{\rm 1} {\rm R}_{\rm 2} {\rm R}_3 \cdot 3{\rm X}^ - $\end{document}, are reported. The effects of these salts on the helix–coil transition of rA–rU and rI–rC helices were examined. Increasing the size of the hydrophobic substituents, R¹, R², and R³ lowers the degree of stabilization of the helical structure. The disproportionation reaction, 2rA–rU→rA–rU₂ + rA occurs readily with salts II and III, especially when the substituents, R₁, R₂, and R₃ are small, i.e., H or Me. Spermine is found to stabilize the rA–rU² and rI–rC helices to approximately the same extent; however, large differences between the degree of stabilization of rA–rU₂ and rI-rC helices are observed when the substituents R₁, R₂, and R₃ are large hydrophobic groups. Similar results are also obtained for the spermidine series. Finally, differences in the interactions of the salts II and III with rA–rU₂ and rI–rC helices suggest that the latter helix is denser.     

V. B. Krasovitski $\overset{\lower0.5em\hbox{$\overset{\lower0.5em\hbox{, Nonlinear regular oscillations in nonequilibrium plasma and gaseous media (Folio, Kharkov, 2000), vols. 1, 2

New Books

V. B. Krasovitski $\overset{\lower0.5em\hbox{$\overset{\lower0.5em\hbox{ , Nonlinear regular oscillations in nonequilibrium plasma and gaseous media (Folio, Kharkov, 2000), vols. 1, 2     

The mechanism and kinetics of decomposition of 5-aminotetrazole

The pathway and ab initio direct kinetics of the decomposition 5-aminotetrazole (5-ATZ) to HN₃ and NH₂CN was investigated. Reactant, products and transition state were optimized with MP2 and B3LYP methods using 6–311G** and aug-cc-pVDZ basis sets. The intrinsic reaction coordinate curve of the reaction was calculated using the MP2 method with 6–311G** basis set. The energies were refined using CCSD(T)/6–311G**. Rate constants were evaluated by conventional transition-state theory (CVT) and canonical variational transition-state theory (TST), with tunneling effect over 300 to 2,500 K. The results indicated that the tunneling effect and the variational effect are small for the calculated rate constants. The fitted three-parameter expression calculated using the CVT and TST methods are and , respectively. Figure The mechanism of the decomposition process of 5-ATZ to HN₃ and NH₂CN