Neurons in the pre-B6tzinger complex within the mammalian brain stem play important roles in the generation of respiratory rhythms. Experimental observations show that some neurons can exhibit novel mixed bursting act...Neurons in the pre-B6tzinger complex within the mammalian brain stem play important roles in the generation of respiratory rhythms. Experimental observations show that some neurons can exhibit novel mixed bursting activities. In this paper, based on a mathematical model proposed by Butera, we show how the mixed bursting activities depend on the potassium current in the coupled pre-Botzinger complex. Using fast-slow decomposition and bifurcation analysis, we investigate the dynamics of mixed bursting, as well as the mechanisms of transition between different mixed bursting patterns. We find that mixed bursting involves different bistability, and it is the transition state of two types of regular burstings.展开更多
Let M and N be two factor von Neumann algebras that their dimensions are large than 1,η≠-1 a non zero complex number and Φa(not necessary linear)bijection between two factor von Neumann algebras satisfying Φ(I)=I....Let M and N be two factor von Neumann algebras that their dimensions are large than 1,η≠-1 a non zero complex number and Φa(not necessary linear)bijection between two factor von Neumann algebras satisfying Φ(I)=I.For all A,B∈M,define by A■B=AB+BA the Jordan product of A and B,A·_(η)B=AB+ηBA^(*)the Jordan η-*-product of A and B,respectively.Let Φ and Φ^(-1)preserve the mixed Jordan triple η-*-products.It is proved that Φ is a linear *-isomorphism if η is not real and Φ is the sum of a linear *-isomorphism and a conjugate linear *-isomorphism if η is real.展开更多
The mononuclear copper（Ⅱ） complex [Cu（L）（2-AP）] 1 and binuclear copper（Ⅱ） complex [Cu（L）（py）]2 2 （L = C10H11O5NS, taurine o-vanillin, py = prydine, 2-AP = 2-aminopyridine） with mixed ligand have been s...The mononuclear copper（Ⅱ） complex [Cu（L）（2-AP）] 1 and binuclear copper（Ⅱ） complex [Cu（L）（py）]2 2 （L = C10H11O5NS, taurine o-vanillin, py = prydine, 2-AP = 2-aminopyridine） with mixed ligand have been synthesized and characterized by X-ray diffraction method. Crystal data for 1： orthorhombic, space group Pbca with a = 11.921（4）, b = 15.816（6）, c = 17.076（6） A, V= 3219.7（19） A^3, C15H17CuN3O5S, Z = 8, Mr = 414.92, De = 1.712 g/cm^3,μ（MoKα） = 1.520 mm^-1, F（000） = 1704, the final R = 0.0300 and wR = 0.0705 for 2840 observed reflections with I 〉 2σ（I）; and crystal data for 2： monoclinic, space group P21/c with a = 7.929（3）, b = 17.038（5）, c = 11.734（4） A, β = 98.162（6）°, V = 1569.1（9） A^3, C15H16CuN2O5S, Z = 4, Mr = 399.90, Dc = 1.693 g/cm^3, F（000） = 820,μ（MoKα） = 1.554 mm^-1, the final R = 0.0351 and wR = 0.0848 for 2767 observed reflections （I 〉 2σ（I））. The molecular structure of complex 1 consists of one tetra-coordinated Cu（Ⅱ） atom generating a slightly distorted square plane, and a one-dimensional chain structure is formed by intermolecular hydrogen bonds. Complex 2 consists of a diphenolic hydroxyl O-bridged binuclear copper（Ⅱ） structure. The crystal structures of complexes 1 and 2 reveal that the coordinate copper centers are bound to both nitrogen and oxygen atom donors. The usual N,O-trans arrangement of ligands is observed in both cases.展开更多
The pre-B?tzinger complex(pre-B?tC) in mammalian brainstem is essential for the generation of respiratory rhythms.Most dynamic studies on the pre-B?tC neuron have been focused on its firing activities modulated by the...The pre-B?tzinger complex(pre-B?tC) in mammalian brainstem is essential for the generation of respiratory rhythms.Most dynamic studies on the pre-B?tC neuron have been focused on its firing activities modulated by the ion conductances rather than that by the electromagnetic radiation or the external forcing current. In this paper, by adding the electromagnetic radiation and external forcing current to Park and Rubin’s model, we mainly investigate the influences of those two factors on the mixed bursting(MB) of single pre-B?tC neuron. First, we explore how the variation of external forcing current affects the MB patterns of the system with non-vanishing magnetic flux. We classify the MB patterns and show their dynamic mechanism through fast-slow decomposition and bifurcation analysis. Then, by modifying the feedback coefficient, we further analyze the sole effect of electromagnetic radiation on the firing activities of the system. Our results may be instructive in understanding the dynamical behavior of pre-B?tC neuron.展开更多
Six new transition metal complexes, [Zn（HBTC）（PYTPY）]n·n PYTPY（1）, [Cu（HBTC）（PYTPY）]n·n PYTPY（2）, [Co（HBTC）（PYTPY）]n·n DMF（3）, [Mn（HBTC）（PYTPY）]n·n DMF（4）, [Cd（HBTC）（PYTP...Six new transition metal complexes, [Zn（HBTC）（PYTPY）]n·n PYTPY（1）, [Cu（HBTC）（PYTPY）]n·n PYTPY（2）, [Co（HBTC）（PYTPY）]n·n DMF（3）, [Mn（HBTC）（PYTPY）]n·n DMF（4）, [Cd（HBTC）（PYTPY）（H2O）]n·2nH2O（5）, and [Co（HBTC）（PYTPY）（H2O）2]（6）,（H3BTC = 1,3,5-benzenetricarboxylic acid, PYTPY = 4＇-（4-pyridyl）-2,2＇：6＇,2＇＇-terpyridine, DMF = N,N？-dimethylformamide）, have been synthesized and characterized by elemental analysis, IR and X-ray single-crystal diffraction. Complexes 1~5 all feature one-dimensional chain structures, and complex 6 exhibits a zero-dimensional structure. Complexes 1~5 present three-dimensional（3D） supramolecular frameworks via π-π stacking interactions, whenas 6 has also a 3D supramolecular structure assembled by hydrogen bonding. Meanwhile, complexes 1 ~ 6 exhibit the thermal stabilities and photoluminescent properties.展开更多
Seismic inversion performed in the time or frequency domain cannot always recover the long-wavelength background of subsurface parameters due to the lack of low-frequency seismic records. Since the low-frequency respo...Seismic inversion performed in the time or frequency domain cannot always recover the long-wavelength background of subsurface parameters due to the lack of low-frequency seismic records. Since the low-frequency response becomes much richer in the Laplace mixed domains, one novel Bayesian impedance inversion approach in the complex Laplace mixed domains is established in this study to solve the model dependency problem. The derivation of a Laplace mixed-domain formula of the Robinson convolution is the first step in our work. With this formula, the Laplace seismic spectrum, the wavelet spectrum and time-domain reflectivity are joined together. Next, to improve inversion stability, the object inversion function accompanied by the initial constraint of the linear increment model is launched under a Bayesian framework. The likelihood function and prior probability distribution can be combined together by Bayesian formula to calculate the posterior probability distribution of subsurface parameters. By achieving the optimal solution corresponding to maximum posterior probability distribution, the low-frequency background of subsurface parameters can be obtained successfully. Then, with the regularization constraint of estimated low frequency in the Laplace mixed domains, multi-scale Bayesian inversion inthe pure frequency domain is exploited to obtain the absolute model parameters. The effectiveness, anti-noise capability and lateral continuity of Laplace mixed-domain inversion are illustrated by synthetic tests. Furthermore,one field case in the east of China is discussed carefully with different input frequency components and different inversion algorithms. This provides adequate proof to illustrate the reliability improvement in low-frequency estimation and resolution enhancement of subsurface parameters, in comparison with conventional Bayesian inversion in the frequency domain.展开更多
Copper (Ⅱ) α-methacrylate reacts with triphenylphosphine to form whxed-valence copper (Ⅰ,Ⅱ) complex Cu4(CH2=C(CH3)COO)6(PPh3)4(CH3OH）2 in methanol solution. The crystal and molecular structure of the complex has ...Copper (Ⅱ) α-methacrylate reacts with triphenylphosphine to form whxed-valence copper (Ⅰ,Ⅱ) complex Cu4(CH2=C(CH3)COO)6(PPh3)4(CH3OH）2 in methanol solution. The crystal and molecular structure of the complex has been detendned by single crystal X-ray structural analysis. This material forms pale green crystals with triclinic symmetry, space group Pi, a=1 .3567(2) nm, b=1.3946 (3) nm, c=1.4569 (3) nm, α=66.069 (14)0, β=84.234 (14)0 γ=69.975 (13)0,R=0.0536.展开更多
A novel trinuclear nickel（II） complex [Ni3（bushz）z（Himdz）2（H20）2].2DMF （1, bushz = N-butylsalicylhydrazide, Himdz = imidazole, DMF = N,N-dimethyl-forrnamide） has been synthesized and characterized by X-ray s...A novel trinuclear nickel（II） complex [Ni3（bushz）z（Himdz）2（H20）2].2DMF （1, bushz = N-butylsalicylhydrazide, Himdz = imidazole, DMF = N,N-dimethyl-forrnamide） has been synthesized and characterized by X-ray single-crystal diffraction characterization. Complex 1 crystallizes in the monoclinic system, space group P2 1/c with a = 7.706（7）, b = 14.882（6）, c = 18.639（6） A, β = 108.08（2）°, V= 2032（1） A3, Dc = 1.525 g/cm3, Mr = 932.95, Z= 2, F（000） = 972,μ = 1.442 mm-1, the final R = 0.0359 and wR = 0.0771. The three nickel（II） atoms in 1 are arranged in a strictly linear structure and exhibit alternating square-planar and octahedral geometries. The complex is connected to form a supramolecule with an infinite three-dimensional network through intermolecular hydrogen bonds. The electrochemical studies reveal that redox of Ni3＋/Ni2＋ in the complex is a quasi-reversible process. The thermal stability of the title complex was also studied.展开更多
A series of novel quaternary mixed anion complexes of lanthanide containing 1,10 phenanthroline(phen) were synthesized from the water/ethanol solution with slightly acidic solution and characterized by elemental anal...A series of novel quaternary mixed anion complexes of lanthanide containing 1,10 phenanthroline(phen) were synthesized from the water/ethanol solution with slightly acidic solution and characterized by elemental analysis, IR and UV spectra, thermal analysis and single crystal X ray diffraction analysis. The crystal of [Ce(CH 3COO) 2(NO 3)(phen)] 2 belongs to monoclinic system, lattice type C centered, space group C 2/m, a =1 5444(6) nm, b =1 2273(5) nm, c =1 2776(5) nm, β =131 89(2)°, V =1 802(1) nm 3, Z =2, R =0 024, R w =0 032.展开更多
This paper considers the Riemann-Hilbert problem for linear mixed（elliptichyperbolic） complex equations of first order with degenerate curve in a simply connected domain. We first give the representation theorem and...This paper considers the Riemann-Hilbert problem for linear mixed（elliptichyperbolic） complex equations of first order with degenerate curve in a simply connected domain. We first give the representation theorem and uniqueness of solutions for such boundary value problem. Then by using the methods of successive iteration and parameter extension, the existence of solutions for this problem is proved.展开更多
During maintainability demonstration,the maintenance time for complex systems consisting of mixed technologies generally conforms to a mixture distribution.However existing maintainability standards and guidance do no...During maintainability demonstration,the maintenance time for complex systems consisting of mixed technologies generally conforms to a mixture distribution.However existing maintainability standards and guidance do not explain explicitly how to deal with this situation.This paper develops a comprehensive maintainability demonstration method for complex systems with a mixed maintenance time distribution.First of all,a K-means algorithm and an expectation-maximization(EM)algorithm are used to partition the maintenance time data for all possible clusters.The Bayesian information criterion(BIC)is then used to choose the optimal model.After this,the clustering results for equipment are obtained according to their degree of membership.The degree of similarity for the maintainability of different kinds of equipment is then determined using the projection method.By using a Bootstrap method,the prior distribution is obtained from the maintenance time data for the most similar equipment.Then,a test method based on Bayesian theory is outlined for the maintainability demonstration.Finally,the viability of the proposed approach is illustrated by means of an example.展开更多
<span style="font-family:Verdana;">Coordination compounds of 2-amino-3-methylbutanoic acid were synthesized with chromium(III) and oxovanadium(IV) ions. M:L;1:2. Adducts of these complexes using 1,10-p...<span style="font-family:Verdana;">Coordination compounds of 2-amino-3-methylbutanoic acid were synthesized with chromium(III) and oxovanadium(IV) ions. M:L;1:2. Adducts of these complexes using 1,10-phenantroline and ethylenediamine were further synthesized, M:L, (1:2). These compounds were characterized using electronic, infra-red spectrophotometry, magnetic susceptibility measurement and percentage metal analyses. The zones of inhibition and minimum inhibitory concentrations of the compounds against eight microbes were studied. The results obtained indicated an octahedral geometry for the Cr(III) complexes, indicative of additional coordination of two water molecules. On the other hand a square pyramid geometry was obtained for the binary oxovanadium complex and its 1,10-phenantroline adduct. However</span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">,</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> for the oxovanadium ethylenediamine adduct a distorted octahedral geometry was proposed. The result for the antibacterial studies indicated that both mixed ligand complexes of 1,10-phenantroline exhibited good antibacterial activity, and in some cases better activity than the standard, streptomycin.</span></span></span>展开更多
Complex salt Co_2Cl_5(py)_5 (py=pyridine) was obtained by the reaction of CoCl_2·6H_2O with Bu_4NMnO_4 in pyridine in the presence of benzoic acid. It is monoclinic and crystallizes in space group P2_1/n, fw=690....Complex salt Co_2Cl_5(py)_5 (py=pyridine) was obtained by the reaction of CoCl_2·6H_2O with Bu_4NMnO_4 in pyridine in the presence of benzoic acid. It is monoclinic and crystallizes in space group P2_1/n, fw=690.64, a=28.652(5), b=14.108(4), c=7.424(3) ;β=90.09(1); V=3001(2)~3; Z=4, Dc=1.53g/cm^3. Final R factor is 0.041. The structure consists of a discrete cation [Co~ⅢCl_2(py)_4]^+ and an anion [Co~Ⅱ Cl_3(py)]^-. The Co~Ⅲ ion is coordinated by two Cl^- and four pyridine nitrogen atoms to form an octahedral geometry, and Co~Ⅱ is coordinated by three Cl^- and one pyridine nitrogen atom to form the apices of a tetrahedron. The variable-temperature magnetic susceptility measurement shows no magnet-exchange interaction between Co~Ⅲ and Co~Ⅱ ions.展开更多
In an acidic solution the mixed polynuclear complexes could be formed by association of rareearth-arsenazo Ⅲ complexing anions with copper o-phenanthrolinate cations.In this paper the formationconditions of lanthanum...In an acidic solution the mixed polynuclear complexes could be formed by association of rareearth-arsenazo Ⅲ complexing anions with copper o-phenanthrolinate cations.In this paper the formationconditions of lanthanum-arsenazo Ⅲ-copper-o-phenanthroline complex and its related reaction mechanismhave been studied in detail.The complex exhibits an absorption maximum at 663 nm and its apparent molarabsorptivity is found to be 1.22×105L·mol-1·cm-1.The molar ratio of the components in the complex isestimated to be La:arsenazo Ⅲ:Cu:Phen=1:1:1:3.Its possible molecular formula can expressed as[Cu（Phen）3]（La-arsenazo Ⅲ）.The reaction is used to determine micro amounts of lanthanum（or rareearths）in copper containning synthetic samples and satisfactory results are obtained.展开更多
The intramolecular aromatic-ring stacking interaction of mixed- ligand complex Pd(A)(UTP)^(2-)in the system pd^(2+)-A-UTP^(4-)has been determined by ~1HNMR,where A=1,10-phenanthroline(phen),2,2'-bipyridyl(bpy)and ...The intramolecular aromatic-ring stacking interaction of mixed- ligand complex Pd(A)(UTP)^(2-)in the system pd^(2+)-A-UTP^(4-)has been determined by ~1HNMR,where A=1,10-phenanthroline(phen),2,2'-bipyridyl(bpy)and DL- tryptophan(trp^-);UTP^(4-)=uridine 5-triphosphate.The result indicates that it is the partial stacking between the uracil ring of UTP^(4-)and the heterocyclic ring of A that makes H(5),H(6)and H(1')in the UTP^(4-)shift upfield signifi- cantly.Accordingly,the order of aromatic-ring interaction in the mixed- ligand complex has been obtained as follows:Pd(phen)(UTP)^(2-)(?)Pd(bpy)(UTP)^(2-) Pd(trp)(UTP)^(3-).展开更多
<span style="font-family:Verdana;">Coordination compounds of 3-hydroxy-2-methyl-4</span><i><span style="font-family:Verdana;">H</span></i><span style="fo...<span style="font-family:Verdana;">Coordination compounds of 3-hydroxy-2-methyl-4</span><i><span style="font-family:Verdana;">H</span></i><span style="font-family:Verdana;">-pyran-4-one with </span><span style="font-family:Verdana;">iron(III), cobat(III) and chromium(III) were synthesized with M:L (1:2)</span><span style="font-family:Verdana;">. Mixed ligand coordination compounds of 3-hydroxy-2-methyl-4</span><i><span style="font-family:Verdana;">H</span></i><span style="font-family:Verdana;">-pyran-4-one and 1,2-diaminocyclohexane using the same metal ions were also synthesized </span><b><span style="font-family:Verdana;">M:L1</span></b><span style="font-family:Verdana;">:</span><b><span style="font-family:Verdana;">L2</span></b><span style="font-family:Verdana;"> (1:1:1) where </span><b><span style="font-family:Verdana;">L1</span></b><span style="font-family:Verdana;"> is 3-hydroxy-2-methyl-4</span><i><span style="font-family:Verdana;">H</span></i><span style="font-family:Verdana;">-pyran-4-one and </span><b><span style="font-family:Verdana;">L2</span></b><span style="font-family:Verdana;"> is 1,2-diaminocyclohexane. The coordination compounds obtained were characterized using electronic and infrared spectral analyses, magnetic susceptibility and percentage metal analysis. They were also evaluated for their cytotoxic and antioxidant activities. The result obtained suggested that octahedral geometry was obtained for all the compounds, as a result of additional two molecules of the solvent coordinated to the metal ions. Both the primary and secondary ligands coordinated in a bidentate fashion. The synthesized compounds exhibited moderate cytotoxicity, although none was as active as the standard. The cobalt(III) mixed ligand complex elicited the highest activity. The synthesized compounds all exhibited good to moderate antioxidant activity.</span>展开更多
Reaction of the ligand dmpt（dmpt=6,7-dimethylbenzo[f][1,10]phenanthroline）with CuCl2 afforded mixed valent Cu（Ⅰ）/Cu（Ⅱ） discrete tetranuclear complexes[Cu（Ⅱ）Cl2（dmpt）Cu（Ⅰ）Cl]（1）,while the reaction of ...Reaction of the ligand dmpt（dmpt=6,7-dimethylbenzo[f][1,10]phenanthroline）with CuCl2 afforded mixed valent Cu（Ⅰ）/Cu（Ⅱ） discrete tetranuclear complexes[Cu（Ⅱ）Cl2（dmpt）Cu（Ⅰ）Cl]（1）,while the reaction of ligand dppz（dppz = dipyrido[3,2-a：20,30-c]phenazine） with divalent halogen copper salt CuX2（X=Cl,Br） gave one-dimensional chain mixed valent Cu（Ⅰ）/Cu（Ⅱ） complexes [Cu（Ⅱ）Cl2（dppz）Cu（Ⅰ）Cl]n（2） and discrete mixed valent Cu（Ⅰ）/Cu（Ⅱ）complexes [Cu（Ⅱ）Br2（dppz）（DMF）Cu（Ⅰ）Br]（3）. Complex 2 consists of a one-dimensional chain-dppzC u（Ⅱ）-Clμ2-Cu（Ⅰ）-Cl-dppzC u（Ⅱ）-Clμ2-Cu（Ⅰ）-with Cu（Ⅱ） and Cu（Ⅰ） atoms linked together by chloride anion. Complex 3 is a discrete complex,which is the same as complexes 1 and 2 involving two different copper valent Cu（Ⅰ） and Cu（Ⅱ）. The Cu（Ⅰ） ion presents a pseudo-trihedral geometry,while the Cu（Ⅱ） ion presents a slightly distorted square-pyramidal geometry. This fact proved that halogen ions play a vital role in the assembly procedure. Our research results demonstrate the structural diversification that can be achieved by halogen ions mediated. Moreover,halogen ions-mediated self-assembly may provide useful information for further design of compounds with novel structures and properties.展开更多
Five polynuclear monovalent and mixed-valence complexes of copper with 2-thiouracil were synthesized. They were characterized by the molar conductivity, electromc spectra, infrared spectroscopy, thermogravimetric and ...Five polynuclear monovalent and mixed-valence complexes of copper with 2-thiouracil were synthesized. They were characterized by the molar conductivity, electromc spectra, infrared spectroscopy, thermogravimetric and magnetic susceptibility measurements. Their coordination properties and tentative structures were discussed.展开更多
Two novel mixed-ligand complexes, [M（phen）2（ans）2]·H2O （M = Cd（Ⅱ） 1, Zn（Ⅱ） 2; phen is 1, 10-phenanthroline, and ans is 4-aminonaphthalene-1-sulfonate）, were obtained from the reaction of 1, 10-phenant...Two novel mixed-ligand complexes, [M（phen）2（ans）2]·H2O （M = Cd（Ⅱ） 1, Zn（Ⅱ） 2; phen is 1, 10-phenanthroline, and ans is 4-aminonaphthalene-1-sulfonate）, were obtained from the reaction of 1, 10-phenanthroline, sodium 4-aminonaphthalene-1-sulfonate tetrahydrate and acetate in mixed solvents. Interaction of the complexes with calf thymus DNA （ctDNA） were investigated using UV-vis absorption spectra, luminescence titrations, steady-state emission quenching by [Fe（CN）6]4 , DNA competitive binding with ethidium bromide （EB） and viscosity measurements. The experimental results indicate that there exist two interaction modes between the complexes and DNA, namely the electrostatic interaction and intercalation, with the binding constants of 1.82 × 10^5 M-1 for 1 and 4.78 ×10^4 M^- 1 for 2 in buffer of 50 mM NaCl and 5 mM Tris-HCI （pH 7.0）.展开更多
Two mixed metal complexes [Cr2Fe(μ3-O) (μ-O2CC2H5)6Py3]Cl (A)and [CrFe2 (μ3-O) (μ-O2CC2H5 )6Py3] Cl (B) have been prepared in non-aqueous sol-vents. Crystal (A) is monoclinic, space group C2/c, with a= 13. 782(3),...Two mixed metal complexes [Cr2Fe(μ3-O) (μ-O2CC2H5)6Py3]Cl (A)and [CrFe2 (μ3-O) (μ-O2CC2H5 )6Py3] Cl (B) have been prepared in non-aqueous sol-vents. Crystal (A) is monoclinic, space group C2/c, with a= 13. 782(3), b= 18. 381(4), c= 16. 643(2) A, β= 92. 84(5)°, V=4211. 1 (4) A3, Z=4, Mr= 887. 03, Dc= 1. 40 g/cm3, μ= 5. 0 cm-1, F(000) = 1836 and R(Rw) = 0. 057(0. 062) for 2134 unique reflections with I> 3δ(I). Crystal (B) is also monoclinic, space group C2/c ,with a= 13. 793(4), b= 18. 401 (6), c= 16. 657(5) A’, β= 93. 18(3)°, V=4221. 3(5) A3, Z= 4, Mr=890. 88, Dc= 1. 40 g/cm3, μ= 10. 5 cm-1, F(000) = 1844 and R(Rw) = 0. 067 (0. 069) for 2131 unique reflections with I>3δ(I). Both (A) and (B)have been characterized by IR spectra. Besides, the relations between the structuresand IR are discussed.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11472009)Construction Plan for Innovative Research Team of North China University of Technology(Grant No.XN018010)Scientific Research for Undergraduate of North China University of Technology
文摘Neurons in the pre-B6tzinger complex within the mammalian brain stem play important roles in the generation of respiratory rhythms. Experimental observations show that some neurons can exhibit novel mixed bursting activities. In this paper, based on a mathematical model proposed by Butera, we show how the mixed bursting activities depend on the potassium current in the coupled pre-Botzinger complex. Using fast-slow decomposition and bifurcation analysis, we investigate the dynamics of mixed bursting, as well as the mechanisms of transition between different mixed bursting patterns. We find that mixed bursting involves different bistability, and it is the transition state of two types of regular burstings.
文摘Let M and N be two factor von Neumann algebras that their dimensions are large than 1,η≠-1 a non zero complex number and Φa(not necessary linear)bijection between two factor von Neumann algebras satisfying Φ(I)=I.For all A,B∈M,define by A■B=AB+BA the Jordan product of A and B,A·_(η)B=AB+ηBA^(*)the Jordan η-*-product of A and B,respectively.Let Φ and Φ^(-1)preserve the mixed Jordan triple η-*-products.It is proved that Φ is a linear *-isomorphism if η is not real and Φ is the sum of a linear *-isomorphism and a conjugate linear *-isomorphism if η is real.
基金This work was supported by the Scientific Research Common Program of Beijing Municipal Commission of Education (KM20051028005)
文摘The mononuclear copper（Ⅱ） complex [Cu（L）（2-AP）] 1 and binuclear copper（Ⅱ） complex [Cu（L）（py）]2 2 （L = C10H11O5NS, taurine o-vanillin, py = prydine, 2-AP = 2-aminopyridine） with mixed ligand have been synthesized and characterized by X-ray diffraction method. Crystal data for 1： orthorhombic, space group Pbca with a = 11.921（4）, b = 15.816（6）, c = 17.076（6） A, V= 3219.7（19） A^3, C15H17CuN3O5S, Z = 8, Mr = 414.92, De = 1.712 g/cm^3,μ（MoKα） = 1.520 mm^-1, F（000） = 1704, the final R = 0.0300 and wR = 0.0705 for 2840 observed reflections with I 〉 2σ（I）; and crystal data for 2： monoclinic, space group P21/c with a = 7.929（3）, b = 17.038（5）, c = 11.734（4） A, β = 98.162（6）°, V = 1569.1（9） A^3, C15H16CuN2O5S, Z = 4, Mr = 399.90, Dc = 1.693 g/cm^3, F（000） = 820,μ（MoKα） = 1.554 mm^-1, the final R = 0.0351 and wR = 0.0848 for 2767 observed reflections （I 〉 2σ（I））. The molecular structure of complex 1 consists of one tetra-coordinated Cu（Ⅱ） atom generating a slightly distorted square plane, and a one-dimensional chain structure is formed by intermolecular hydrogen bonds. Complex 2 consists of a diphenolic hydroxyl O-bridged binuclear copper（Ⅱ） structure. The crystal structures of complexes 1 and 2 reveal that the coordinate copper centers are bound to both nitrogen and oxygen atom donors. The usual N,O-trans arrangement of ligands is observed in both cases.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11772069 and 11872003)
文摘The pre-B?tzinger complex(pre-B?tC) in mammalian brainstem is essential for the generation of respiratory rhythms.Most dynamic studies on the pre-B?tC neuron have been focused on its firing activities modulated by the ion conductances rather than that by the electromagnetic radiation or the external forcing current. In this paper, by adding the electromagnetic radiation and external forcing current to Park and Rubin’s model, we mainly investigate the influences of those two factors on the mixed bursting(MB) of single pre-B?tC neuron. First, we explore how the variation of external forcing current affects the MB patterns of the system with non-vanishing magnetic flux. We classify the MB patterns and show their dynamic mechanism through fast-slow decomposition and bifurcation analysis. Then, by modifying the feedback coefficient, we further analyze the sole effect of electromagnetic radiation on the firing activities of the system. Our results may be instructive in understanding the dynamical behavior of pre-B?tC neuron.
基金Supported by the National Natural Science Foundation of China(No.21576112)Natural Science Foundation of Jilin Province(20150623024TC-19,20170520147JH)the Science and Technology Development Plan of Siping City(2015049)
文摘Six new transition metal complexes, [Zn（HBTC）（PYTPY）]n·n PYTPY（1）, [Cu（HBTC）（PYTPY）]n·n PYTPY（2）, [Co（HBTC）（PYTPY）]n·n DMF（3）, [Mn（HBTC）（PYTPY）]n·n DMF（4）, [Cd（HBTC）（PYTPY）（H2O）]n·2nH2O（5）, and [Co（HBTC）（PYTPY）（H2O）2]（6）,（H3BTC = 1,3,5-benzenetricarboxylic acid, PYTPY = 4＇-（4-pyridyl）-2,2＇：6＇,2＇＇-terpyridine, DMF = N,N？-dimethylformamide）, have been synthesized and characterized by elemental analysis, IR and X-ray single-crystal diffraction. Complexes 1~5 all feature one-dimensional chain structures, and complex 6 exhibits a zero-dimensional structure. Complexes 1~5 present three-dimensional（3D） supramolecular frameworks via π-π stacking interactions, whenas 6 has also a 3D supramolecular structure assembled by hydrogen bonding. Meanwhile, complexes 1 ~ 6 exhibit the thermal stabilities and photoluminescent properties.
基金the sponsorship of National Natural Science Foundation Project(U1562215,41604101)National Grand Project for Science and Technology(2016ZX05024-004,2017ZX05032-003)+2 种基金the Post-graduate Innovation Program of China University of Petroleum(YCX2017005)Science Foundation from SINOPEC Key Laboratory of Geophysics(wtyjy-wx2016-04-10)the Fundamental Research Funds for the Central Universities
文摘Seismic inversion performed in the time or frequency domain cannot always recover the long-wavelength background of subsurface parameters due to the lack of low-frequency seismic records. Since the low-frequency response becomes much richer in the Laplace mixed domains, one novel Bayesian impedance inversion approach in the complex Laplace mixed domains is established in this study to solve the model dependency problem. The derivation of a Laplace mixed-domain formula of the Robinson convolution is the first step in our work. With this formula, the Laplace seismic spectrum, the wavelet spectrum and time-domain reflectivity are joined together. Next, to improve inversion stability, the object inversion function accompanied by the initial constraint of the linear increment model is launched under a Bayesian framework. The likelihood function and prior probability distribution can be combined together by Bayesian formula to calculate the posterior probability distribution of subsurface parameters. By achieving the optimal solution corresponding to maximum posterior probability distribution, the low-frequency background of subsurface parameters can be obtained successfully. Then, with the regularization constraint of estimated low frequency in the Laplace mixed domains, multi-scale Bayesian inversion inthe pure frequency domain is exploited to obtain the absolute model parameters. The effectiveness, anti-noise capability and lateral continuity of Laplace mixed-domain inversion are illustrated by synthetic tests. Furthermore,one field case in the east of China is discussed carefully with different input frequency components and different inversion algorithms. This provides adequate proof to illustrate the reliability improvement in low-frequency estimation and resolution enhancement of subsurface parameters, in comparison with conventional Bayesian inversion in the frequency domain.
文摘Copper (Ⅱ) α-methacrylate reacts with triphenylphosphine to form whxed-valence copper (Ⅰ,Ⅱ) complex Cu4(CH2=C(CH3)COO)6(PPh3)4(CH3OH）2 in methanol solution. The crystal and molecular structure of the complex has been detendned by single crystal X-ray structural analysis. This material forms pale green crystals with triclinic symmetry, space group Pi, a=1 .3567(2) nm, b=1.3946 (3) nm, c=1.4569 (3) nm, α=66.069 (14)0, β=84.234 (14)0 γ=69.975 (13)0,R=0.0536.
基金Supported by the Foundation of Fujian Educational Committee, China (No. JB10007 and JB10004)
文摘A novel trinuclear nickel（II） complex [Ni3（bushz）z（Himdz）2（H20）2].2DMF （1, bushz = N-butylsalicylhydrazide, Himdz = imidazole, DMF = N,N-dimethyl-forrnamide） has been synthesized and characterized by X-ray single-crystal diffraction characterization. Complex 1 crystallizes in the monoclinic system, space group P2 1/c with a = 7.706（7）, b = 14.882（6）, c = 18.639（6） A, β = 108.08（2）°, V= 2032（1） A3, Dc = 1.525 g/cm3, Mr = 932.95, Z= 2, F（000） = 972,μ = 1.442 mm-1, the final R = 0.0359 and wR = 0.0771. The three nickel（II） atoms in 1 are arranged in a strictly linear structure and exhibit alternating square-planar and octahedral geometries. The complex is connected to form a supramolecule with an infinite three-dimensional network through intermolecular hydrogen bonds. The electrochemical studies reveal that redox of Ni3＋/Ni2＋ in the complex is a quasi-reversible process. The thermal stability of the title complex was also studied.
文摘A series of novel quaternary mixed anion complexes of lanthanide containing 1,10 phenanthroline(phen) were synthesized from the water/ethanol solution with slightly acidic solution and characterized by elemental analysis, IR and UV spectra, thermal analysis and single crystal X ray diffraction analysis. The crystal of [Ce(CH 3COO) 2(NO 3)(phen)] 2 belongs to monoclinic system, lattice type C centered, space group C 2/m, a =1 5444(6) nm, b =1 2273(5) nm, c =1 2776(5) nm, β =131 89(2)°, V =1 802(1) nm 3, Z =2, R =0 024, R w =0 032.
基金Supported by the National Natural Science Foundation of China (10971224)
文摘This paper considers the Riemann-Hilbert problem for linear mixed（elliptichyperbolic） complex equations of first order with degenerate curve in a simply connected domain. We first give the representation theorem and uniqueness of solutions for such boundary value problem. Then by using the methods of successive iteration and parameter extension, the existence of solutions for this problem is proved.
基金supported by the National Defense Pre-research Funds(9140A27010215JB34422)
文摘During maintainability demonstration,the maintenance time for complex systems consisting of mixed technologies generally conforms to a mixture distribution.However existing maintainability standards and guidance do not explain explicitly how to deal with this situation.This paper develops a comprehensive maintainability demonstration method for complex systems with a mixed maintenance time distribution.First of all,a K-means algorithm and an expectation-maximization(EM)algorithm are used to partition the maintenance time data for all possible clusters.The Bayesian information criterion(BIC)is then used to choose the optimal model.After this,the clustering results for equipment are obtained according to their degree of membership.The degree of similarity for the maintainability of different kinds of equipment is then determined using the projection method.By using a Bootstrap method,the prior distribution is obtained from the maintenance time data for the most similar equipment.Then,a test method based on Bayesian theory is outlined for the maintainability demonstration.Finally,the viability of the proposed approach is illustrated by means of an example.
文摘<span style="font-family:Verdana;">Coordination compounds of 2-amino-3-methylbutanoic acid were synthesized with chromium(III) and oxovanadium(IV) ions. M:L;1:2. Adducts of these complexes using 1,10-phenantroline and ethylenediamine were further synthesized, M:L, (1:2). These compounds were characterized using electronic, infra-red spectrophotometry, magnetic susceptibility measurement and percentage metal analyses. The zones of inhibition and minimum inhibitory concentrations of the compounds against eight microbes were studied. The results obtained indicated an octahedral geometry for the Cr(III) complexes, indicative of additional coordination of two water molecules. On the other hand a square pyramid geometry was obtained for the binary oxovanadium complex and its 1,10-phenantroline adduct. However</span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">,</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;"> for the oxovanadium ethylenediamine adduct a distorted octahedral geometry was proposed. The result for the antibacterial studies indicated that both mixed ligand complexes of 1,10-phenantroline exhibited good antibacterial activity, and in some cases better activity than the standard, streptomycin.</span></span></span>
文摘Complex salt Co_2Cl_5(py)_5 (py=pyridine) was obtained by the reaction of CoCl_2·6H_2O with Bu_4NMnO_4 in pyridine in the presence of benzoic acid. It is monoclinic and crystallizes in space group P2_1/n, fw=690.64, a=28.652(5), b=14.108(4), c=7.424(3) ;β=90.09(1); V=3001(2)~3; Z=4, Dc=1.53g/cm^3. Final R factor is 0.041. The structure consists of a discrete cation [Co~ⅢCl_2(py)_4]^+ and an anion [Co~Ⅱ Cl_3(py)]^-. The Co~Ⅲ ion is coordinated by two Cl^- and four pyridine nitrogen atoms to form an octahedral geometry, and Co~Ⅱ is coordinated by three Cl^- and one pyridine nitrogen atom to form the apices of a tetrahedron. The variable-temperature magnetic susceptility measurement shows no magnet-exchange interaction between Co~Ⅲ and Co~Ⅱ ions.
文摘In an acidic solution the mixed polynuclear complexes could be formed by association of rareearth-arsenazo Ⅲ complexing anions with copper o-phenanthrolinate cations.In this paper the formationconditions of lanthanum-arsenazo Ⅲ-copper-o-phenanthroline complex and its related reaction mechanismhave been studied in detail.The complex exhibits an absorption maximum at 663 nm and its apparent molarabsorptivity is found to be 1.22×105L·mol-1·cm-1.The molar ratio of the components in the complex isestimated to be La:arsenazo Ⅲ:Cu:Phen=1:1:1:3.Its possible molecular formula can expressed as[Cu（Phen）3]（La-arsenazo Ⅲ）.The reaction is used to determine micro amounts of lanthanum（or rareearths）in copper containning synthetic samples and satisfactory results are obtained.
文摘The intramolecular aromatic-ring stacking interaction of mixed- ligand complex Pd(A)(UTP)^(2-)in the system pd^(2+)-A-UTP^(4-)has been determined by ~1HNMR,where A=1,10-phenanthroline(phen),2,2'-bipyridyl(bpy)and DL- tryptophan(trp^-);UTP^(4-)=uridine 5-triphosphate.The result indicates that it is the partial stacking between the uracil ring of UTP^(4-)and the heterocyclic ring of A that makes H(5),H(6)and H(1')in the UTP^(4-)shift upfield signifi- cantly.Accordingly,the order of aromatic-ring interaction in the mixed- ligand complex has been obtained as follows:Pd(phen)(UTP)^(2-)(?)Pd(bpy)(UTP)^(2-) Pd(trp)(UTP)^(3-).
文摘<span style="font-family:Verdana;">Coordination compounds of 3-hydroxy-2-methyl-4</span><i><span style="font-family:Verdana;">H</span></i><span style="font-family:Verdana;">-pyran-4-one with </span><span style="font-family:Verdana;">iron(III), cobat(III) and chromium(III) were synthesized with M:L (1:2)</span><span style="font-family:Verdana;">. Mixed ligand coordination compounds of 3-hydroxy-2-methyl-4</span><i><span style="font-family:Verdana;">H</span></i><span style="font-family:Verdana;">-pyran-4-one and 1,2-diaminocyclohexane using the same metal ions were also synthesized </span><b><span style="font-family:Verdana;">M:L1</span></b><span style="font-family:Verdana;">:</span><b><span style="font-family:Verdana;">L2</span></b><span style="font-family:Verdana;"> (1:1:1) where </span><b><span style="font-family:Verdana;">L1</span></b><span style="font-family:Verdana;"> is 3-hydroxy-2-methyl-4</span><i><span style="font-family:Verdana;">H</span></i><span style="font-family:Verdana;">-pyran-4-one and </span><b><span style="font-family:Verdana;">L2</span></b><span style="font-family:Verdana;"> is 1,2-diaminocyclohexane. The coordination compounds obtained were characterized using electronic and infrared spectral analyses, magnetic susceptibility and percentage metal analysis. They were also evaluated for their cytotoxic and antioxidant activities. The result obtained suggested that octahedral geometry was obtained for all the compounds, as a result of additional two molecules of the solvent coordinated to the metal ions. Both the primary and secondary ligands coordinated in a bidentate fashion. The synthesized compounds exhibited moderate cytotoxicity, although none was as active as the standard. The cobalt(III) mixed ligand complex elicited the highest activity. The synthesized compounds all exhibited good to moderate antioxidant activity.</span>
基金Supported by the Science and Technology Planning Project of Shengli College China University of Petroleum(No.13070316)
文摘Reaction of the ligand dmpt（dmpt=6,7-dimethylbenzo[f][1,10]phenanthroline）with CuCl2 afforded mixed valent Cu（Ⅰ）/Cu（Ⅱ） discrete tetranuclear complexes[Cu（Ⅱ）Cl2（dmpt）Cu（Ⅰ）Cl]（1）,while the reaction of ligand dppz（dppz = dipyrido[3,2-a：20,30-c]phenazine） with divalent halogen copper salt CuX2（X=Cl,Br） gave one-dimensional chain mixed valent Cu（Ⅰ）/Cu（Ⅱ） complexes [Cu（Ⅱ）Cl2（dppz）Cu（Ⅰ）Cl]n（2） and discrete mixed valent Cu（Ⅰ）/Cu（Ⅱ）complexes [Cu（Ⅱ）Br2（dppz）（DMF）Cu（Ⅰ）Br]（3）. Complex 2 consists of a one-dimensional chain-dppzC u（Ⅱ）-Clμ2-Cu（Ⅰ）-Cl-dppzC u（Ⅱ）-Clμ2-Cu（Ⅰ）-with Cu（Ⅱ） and Cu（Ⅰ） atoms linked together by chloride anion. Complex 3 is a discrete complex,which is the same as complexes 1 and 2 involving two different copper valent Cu（Ⅰ） and Cu（Ⅱ）. The Cu（Ⅰ） ion presents a pseudo-trihedral geometry,while the Cu（Ⅱ） ion presents a slightly distorted square-pyramidal geometry. This fact proved that halogen ions play a vital role in the assembly procedure. Our research results demonstrate the structural diversification that can be achieved by halogen ions mediated. Moreover,halogen ions-mediated self-assembly may provide useful information for further design of compounds with novel structures and properties.
文摘Five polynuclear monovalent and mixed-valence complexes of copper with 2-thiouracil were synthesized. They were characterized by the molar conductivity, electromc spectra, infrared spectroscopy, thermogravimetric and magnetic susceptibility measurements. Their coordination properties and tentative structures were discussed.
基金Funded by Key Project of the National Natural Science Foundation of China (No. 60537050)
文摘Two novel mixed-ligand complexes, [M（phen）2（ans）2]·H2O （M = Cd（Ⅱ） 1, Zn（Ⅱ） 2; phen is 1, 10-phenanthroline, and ans is 4-aminonaphthalene-1-sulfonate）, were obtained from the reaction of 1, 10-phenanthroline, sodium 4-aminonaphthalene-1-sulfonate tetrahydrate and acetate in mixed solvents. Interaction of the complexes with calf thymus DNA （ctDNA） were investigated using UV-vis absorption spectra, luminescence titrations, steady-state emission quenching by [Fe（CN）6]4 , DNA competitive binding with ethidium bromide （EB） and viscosity measurements. The experimental results indicate that there exist two interaction modes between the complexes and DNA, namely the electrostatic interaction and intercalation, with the binding constants of 1.82 × 10^5 M-1 for 1 and 4.78 ×10^4 M^- 1 for 2 in buffer of 50 mM NaCl and 5 mM Tris-HCI （pH 7.0）.
文摘Two mixed metal complexes [Cr2Fe(μ3-O) (μ-O2CC2H5)6Py3]Cl (A)and [CrFe2 (μ3-O) (μ-O2CC2H5 )6Py3] Cl (B) have been prepared in non-aqueous sol-vents. Crystal (A) is monoclinic, space group C2/c, with a= 13. 782(3), b= 18. 381(4), c= 16. 643(2) A, β= 92. 84(5)°, V=4211. 1 (4) A3, Z=4, Mr= 887. 03, Dc= 1. 40 g/cm3, μ= 5. 0 cm-1, F(000) = 1836 and R(Rw) = 0. 057(0. 062) for 2134 unique reflections with I> 3δ(I). Crystal (B) is also monoclinic, space group C2/c ,with a= 13. 793(4), b= 18. 401 (6), c= 16. 657(5) A’, β= 93. 18(3)°, V=4221. 3(5) A3, Z= 4, Mr=890. 88, Dc= 1. 40 g/cm3, μ= 10. 5 cm-1, F(000) = 1844 and R(Rw) = 0. 067 (0. 069) for 2131 unique reflections with I>3δ(I). Both (A) and (B)have been characterized by IR spectra. Besides, the relations between the structuresand IR are discussed.
