Cell cycle control at the first restriction point and its effect on tissue growth

Cell cycle is controlled at two restriction points, R ₁ and R ₂. At both points the cell will commit apoptosis if it detects irreparable damage. But at R ₁ an undamaged cell also decides whether to proceed to the S phase or go into a quiescent mode, depending on the environmental conditions (e.g., overpopulation, hypoxia). We consider the effect of this decision at the population level in a spherical tissue {r < R(t)}. We prove that if the cells have full control at R ₁, they can manipulate the size of R(t) to ensure that 0 < c ≤ R(t) ≤ C < ∞; simulations further show that R(t) can be made nearly stationary. In the absence of such control, R(t) will either increase to ∞ or decrease to 0. The mathematical model and analysis involve a system of PDEs in {r < R(t)}.     

Helical segment analysis of α-helical regions in proteins

The methods suggested earlier for the analysis and representation of protein structural data are now extended to the helical regions in finer details. These enable better handling of characterization of bends and distortions, for which statistical parameters are also developed. Using latest myoglobin data, best experimental parameters for the α-helix are deduced to be r_N = 1.55 (0.13) Å, r = 2.28 (0.12) Å, r_C′ = 1.70 (0.10) Å, r₀ = 2.02 (0.12) Å, ? = 100.5 (2.3)°, and t = 1.495 (0.055) Å.     

Preparation,structure and spectroscopic studies of the palladium mercaptides Pd8(S-nPr)16 and Pd6(S-nPr)12

Various palladium salts react with n-propane thiol to form a mixture of the cyclic mercaptides Pd₈(S-nPr)₁₆ (I) and the known Pd₆(S-nPr)₁₂ (II). I is described as an octagonal toroid, containing a planar ring of palladium atoms, each being bridged by four mercapto groups in approximately square planar geometry. The pendant n-propyl groups radiate outward in approximately axial and equatorial orientations with respect to the ring, which was also observed in solution by ¹H and ¹³C NMR. Crystal data: space group C2/c, a=22.251(15), b=27.623(6), c=14.621(17) Å, β=116.35°(4), V=8053(4) ų. Least-squares refinement based on 3103 observed reflections led to an R value of 0.078. I and II failed to complex any appropriate guest species, as evidenced by the UV-Vis spectra. I was found to have a reversible oxidation wave at E/2= 0.77 V, and a irreversible oxidation wave of 1.09 V. II displayed two irreversible peak potentials at 0.77 and 1.09 V. In each case, the waves were one electron processes, in which the reversibility was not enhanced at low temperatures.     

Effect of copper on peroxidase activity and lignin content in Raphanus sativus

Copper (Cu²⁺) significantly inhibits the growth of radish (Raphanus sativus) seedlings at the concentration of 1 μM. As far as the relationship between the growth of radish roots and peroxidase (POD) activity is concerned, the reduction of radish roots is correlated with the induction of cationic and anionic PODs. The data show that the increase of cationic PODs (pI 8.6 and pI 9.3) and anionic PODs (pI 5.1 and pI 3.5) activities was correlated with the rise in lignin content in Cu-treated tissues. In our investigation, among the radish root PODs, the cationic pI 8.6 POD isozyme displayed a high affinity (K_m of 57.9 μM) for syringaldazine and the similar value of catalytic efficiency jointly with the anionic pI 5.1 POD, 0.14 and 0.12 μM^–1 s^–1, respectively. The results suggest that the increase of cationic POD (pI 8.6) induced by Cu treatment can be a good candidate for lignification in radish roots.     

Photosynthesis in dynamic light: systems biology of unconventional chlorophyll fluorescence transients in Synechocystis sp. PCC 6803

Photosynthetic organisms live in a dynamic environment where light typically fluctuates around a mean level that is slowly drifting during the solar day. We show that the far-from-equilibrium photosynthesis occurring in a rapidly fluctuating light differs vastly from the stationary-flux photosynthesis attained in a constant or slowly drifting light. Photosynthetic organisms in a static or slowly drifting light can be characterized by a steady-state quantum yield of chlorophyll fluorescence emission F′ that is changing linearly with small and slow variations of the incident irradiance I+ΔI(t): F′(I+ΔI(t))≈ F_mean^′(dF)/(dI)·ΔI(t). In Synechocystis sp. PCC 6803, the linear approximation holds for an extended interval covering largely the static irradiance range experienced by the cyanobacteria in nature. The photosynthetic dynamism and, consequently, the dynamism of the chlorophyll fluorescence emission change dramatically when exposing the organism to a fluctuating irradiance. Harmonically-modulated irradiance I+ΔI · sin(2πt/T), T ≈ 1–25 s induces perpetual, far-from-equilibrium forced oscillations that are strongly non-linear, exhibiting significant hysteresis with multiple fluorescence levels corresponding to a single instantaneous level of the incident irradiance. We propose that, in nature, the far-from-equilibrium dynamic phenomena represent a significant correction to the steady-state photosynthetic activity that is typically investigated in laboratory. Analysis of the forced oscillations by the tools of systems biology suggests that the dynamism of photosynthesis observed in fluctuating light can be explained by a delayed action of regulatory agents.     

Water Import Rate in Tomato Fruit: A Resistance Model

A model of the water import rate in tomato fruit is proposed.It compares the fruit to a hollow sphere (P) with external radiusR and internal radius R_G, corresponding to pericarp, and containingan internal spherical part (G). The pathway limiting water inputrate at any point I at a distance r from the fruit centre wasassumed to be proportional: (a) in P, to the length of the arcwhich has a radius r and which goes from I to the pedicel extension;(b) in G, to r. The water input rate at I was modelled basedon a law similar to Darcy's law which takes into account thedifference between the water potential at entry of fruit andthe water potential at point I. This latter potential was thesum of fruit osmotic potential and pressure potential due toresistance of tissue to deformation. This potential was proportionalto R-r or R_G -r. The model was expressed at fruit level by alaw such that water mass imported per unit time per unit surfacearea of fruit (f_rw) was a linear function of R. The model wascompared to linear regressions of this rate in terms of R whichhad been found during fruit swelling from published results,and which were obtained at different values of nutrient solutionsalinity. The results suggested that water input in tomato fruitis conditioned by passive forces depending on fruit size.Copyright1994, 1999 Academic Press Fruit, growth, model, resistance, salinity, size, tomato, transfer, water     

Analysis of a mathematical model for the growth of tumors

 In this paper we study a recently proposed model for the growth of a nonnecrotic, vascularized tumor. The model is in the form of a free-boundary problem whereby the tumor grows (or shrinks) due to cell proliferation or death according to the level of a diffusing nutrient concentration. The tumor is assumed to be spherically symmetric, and its boundary is an unknown function r=s(t). We concentrate on the case where at the boundary of the tumor the birth rate of cells exceeds their death rate, a necessary condition for the existence of a unique stationary solution with radius r=R ₀ (which depends on the various parameters of the problem). Denoting by c the quotient of the diffusion time scale to the tumor doubling time scale, so that c is small, we rigorously prove that (i) lim inf _t→∞ s(t)>0, i.e. once engendered, tumors persist in time. Indeed, we further show that (ii) If c is sufficiently small then s(t)→R ₀ exponentially fast as t→∞, i.e. the steady state solution is globally asymptotically stable. Further, (iii) If c is not “sufficiently small” but is smaller than some constant γ determined explicitly by the parameters of the problem, then lim sup _t→∞ s(t)<∞; if however c is “somewhat” larger than γ then generally s(t) does not remain bounded and, in fact, s(t)→∞ exponentially fast as t→∞. Received: 25 February 1998 / Revised version: 30 April 1998     

Analysis of an SEIRS epidemic model with two delays

 A disease transmission model of SEIRS type with exponential demographic structure is formulated. All newborns are assumed susceptible, there is a natural death rate constant, and an excess death rate constant for infective individuals. Latent and immune periods are assumed to be constants, and the force of infection is assumed to be of the standard form, namely proportional to I(t)/N(t) where N(t) is the total (variable) population size and I(t) is the size of the infective population. The model consists of a set of integro-differential equations. Stability of the disease free proportion equilibrium, and existence, uniqueness, and stability of an endemic proportion equilibrium, are investigated. The stability results are stated in terms of a key threshold parameter. More detailed analyses are given for two cases, the SEIS model (with no immune period), and the SIRS model (with no latent period). Several threshold parameters quantify the two ways that the disease can be controlled, by forcing the number or the proportion of infectives to zero. Received 8 May 1995; received in revised form 7 November 1995     

Crystallization and preliminary X-ray diffraction studies of formylmethanofuran: Tetrahydromethanopterin formyltransferase from Methanopyrus kandleri

Formylmethanofuran:tetrahydromethanopterin formyltransferase from the hyperthermophilic methanogenic Archaeon Methanopyrus kandleri (growth temperature optimum 98°C) was crystallized by vapor diffusion methods. Crystal form M obtained with 2-methyl-2,4-pentanediol as precipitant displayed the space group P2₁ with unit cell parameters of a = 87.0 Å, b = 75.4 Å, c = 104.7 Å, and β = 113.9° and diffracted better than 2 Å resolution. Crystal form P grown from polyethylene glycol 8000 belonged to the space group I4₁22 and had unit cell parameters of 157.5 Å and 242.1 Å. Diffraction data to 1.73 Å were recorded. Crystal form S which was crystallized from (NH₄)₂SO₄in the space group I4₁22 with unit cell parameters of 151.3 Å and 249.5 Å diffracted at least to 2.2 Å resolution. All crystal forms probably have four molecules per asymmetric unit and are suitable for X-ray structure analysis. © 1996 Wiley-Liss, Inc.     

Calcium complexation with a highly calcium selective chelator: crystal structure of ca(CaFBAPTA) ·5H2O

The structure of the complex of calcium ions with 5,5'-difluoro-1,2-bis(o-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid (FBAPTA) has been determined. The calcium complex, with stoichiometry Ca(CaFBAPTA) · 5H₂O crystallizes in a monoclinic space group P2₁/c with 4 formula units/unit cell with a(Å) = 9.767, b(Å) = 26.309,c(Å) = 11.769; β (deg) = 111.57. The structure may be considered as the calcium salt of a CaFBAPTA2- complex in which the octacoordinate calcium ion is complexed with the two ether oxygen atoms, the two nitrogens, and coordinated in a unidentate manner with the four acetate carboxyl groups. The geometry of the nitrogen atoms is nearly tetrahedral and provides a basis for the interpretation of the optical perturbations which result from calcium complexation with BAPTA type ligands. In addition, it is clear from the distance and relative orientation of the aromatic rings that ring current contributions to the fluorine chemical shifts are of negligible importance, so that such effects cannot be used in the design of NMR active indictators. Although BAPTA and analogs such as PBAPTA and quin2 have found extensive physiological applications as a consequence of the high degree of selectivity for calcium ions over magnesium ions which they exhibit, this is the first reported structural data for any of these complexes.     

A systematic comparison of summary characteristics for quantifying point patterns in ecology

Many functional summary characteristics such as Ripley's K function have been used in ecology to describe the spatial structure of point patterns to aid understanding of the underlying processes. However, their use is poorly guided in ecology because little is understood how well single summary characteristics, or a combination of them, capture the spatial structure of real world patterns. Here, we systematically tested the performance of combinations of eight summary characteristics [i.e. pair correlation function g(r), K‐function K(r), the proportion E(r) of points with no neighbor at distance r, the nearest neighbor distribution function D(r), the spherical contact distribution H_s(r), the kth nearest‐neighbor distribution functions D_k(r), the mean distance nn(k) to the kth neighbor, and the intensity function λ( x )]. To this end we used point pattern data covering a wide range of spatial structures including simulated (stationary) as well as real, possibly non‐stationary, patterns on tree species in a tropical forest in Panamá. To measure the information contained in a given combination of summary characteristics we used simulated annealing to reconstruct the observed patterns based only on the limited information provided by this combination and assessed how well other characteristics of the observed pattern were recovered. We found that the number of summary characteristics required to capture the spatial structure of stationary patterns varied between one (for patterns with near random structures) and three (for patterns with complex cluster and superposition structures), but with a robust ranking g(r), D_k(r), and H_s(r) that was largely independent on pattern idiosyncrasies. Stationary summary characteristics [with ranking g(r), D_k(r), H_s(r), E(r)] captured small‐ to intermediate scale properties of non‐stationary patterns, but for describing large‐scale spatial structures the intensity function was required. Our finding revealed that the current practice in ecology of using only one or two summary characteristics bears danger that essential characteristics of more complex patterns would not be detected. The technique of pattern reconstruction presented here has wide applications in ecology.     

A new hydroxo-bridged thorium(IV) dimer: Preparation and structure of di-μ-hydroxo-bis[aquanitrato(2,6-diacetylpyridinedisemicarbazone)thorium(IV)] nitrate tetrahydrate

The pentadentate ligand 2,6-diacetylpyridinedisemicarbazone, DAPSC, reacts with Th(NO₃)₄ in ethanolwater mixture and a di-μ-hydroxo Th(IV) dimer is formed. The compound [Th₂(OH)₂(DAPSC)₂(NO₃)₂(H₂O)₂](NO₃)₄·4H₂O (I) is monoclinic, space group P2₁/n with a = 10.705(1), b = 19.008(2), c = 11.782(1) Å, β = 107.82(2)°, V = 2282(1) ų and Z = 2. Detailed X-ray structural analysis showed that each thorium atom in the complex is coordinated to one pentadentate DAPSC ligand, which is subjected to a considerable distortion, one bidentate nitrate group, one water ligand and two bridging hydroxo groups. The coordination number is ten and the best presentation of the polyhedron is that of a distorted bicapped square antiprism. The ThTh separation is 4.0181(6) Å and the average ThO(H) bridge is 2.366 Å. The structure was refined using 3185 reflections to an R value of 5.0%.     

Density functional theory molecular modelling,DNA interactions,antioxidant, antimicrobial,anticancer and biothermodynamic studies of bioactive water soluble mixed ligand complexes

A novel series of bioactive water soluble mixed ligand complexes (1–5) [M^II(L)(phen)AcO]. nH₂O {where M?=?Cu (1) n?=?2; Co (2), Mn (3), Ni (4), n?=?4 and Zn (5) n?=?2} were synthesized from 2-(2-Morpholinoethylimino) methyl)phenol Schiff base ligand (LH), 1, 10-phenanthroline and metal(II) acetate salt in a 1:1:1 stoichiometric ratio and characterized by several spectral techniques. The obtained analytical and spectral data suggest the octahedral geometry around the central metal ion. Density functional theory calculations have been further supportive to explore the optimized structure and chemical reactivity of these complexes from their frontier molecular orbitals. Gel electrophoresis result indicates that complex (1) manifested an excellent DNA cleavage property than others. The observed binding constants with free energy changes by electronic absorption technique and DNA binding affinity values by viscosity measurements for all compounds were found in the following order (1)?>?(2)?>?(4)?>?(5)?>?(3) > (LH). The binding results and thermodynamic parameters are described the intercalation mode. In vitro antioxidant properties disclose that complex (1) divulges high scavenging activity against DPPH^?, ^?OH, O₂^?? NO^?, and Fe³⁺. The antimicrobial reports illustrate that the complexes (1–5) were exhibited well defined inhibitory effect than ligand (LH) against the selected different pathogenic species. The observed percentage growth inhibition against A549, HepG2, MCF-7, and NHDF cell lines suggest that complex (1) has exhibited superior anticancer potency than others. Thus, the complex (1) may contribute as potential anticancer agent due to its unique interaction mode with DNA.GRAPHICAL ABSTRACT

Communicated by Ramaswamy H. Sarma     

Studies on the inhibition of fumarase and malate dehydrogenase by second generation platinum antitumor drugs

Reaction of equimolar amounts of Cd₂I₄(PPr₃)₂ and Hg₂I₄(PPr₃)₂ leads to formation of the complex CdHgI₄(PPr₃)₂. Phosphorus-31 and mercury-199 nmr studies show both phosphines to be co-ordinated to mercury in solution, and a single crystal X-ray analysis confirms the unsymmetrical nature of the complex in the solid state also: I₂Cd(μ-I)₂Hg(PPr₃)₂. The crystals of the complex are monoclinic, space group P2₁/c, with a = 10.694(6), b = 13.794(7), c = 22.415(9) Å, β = 96.25(5)°. The structure was solved via the heavy-atom method and refined to an R value of 0.048 for 3053 observed diffractometer data. The [CdI₂Hg] ring is almost planar and each metal atom is four co-ordinate. The coordination polyhedron about mercury is highly irregular and the large PHgP angle of 152.8(1)° is attributed both to the presence of two strong σ-donor phoshines and to the bridging nature of the halogen atoms attached to mercury. The far-i.r. spectrum of the complex is discussed.     

The crystal and molecular structure of O-ethylxanthato-bis(quinolin-8-olato)antimony(III) and a redetermination for tris(O-ethylxanthato)antimony(III)

The crystal structures of the title compounds Sb(C₉H₆NO)₂(S₂COC₂H₅) (1) and Sb(S₂COC₂H₅)₃ (2) have been determined by three dimensional X-ray diffraction techniques and refined by a least squares method; final R 0.049 for 2911 reflections [I ? 3σ(I)] for (1) and R 0.047, R_w 0.046 for 846 reflections [I ? 2σ(I)] for (2). Crystals of (1) are triclinic, space group P1, a = 10.825(2), b = 11.131(2), c = 8.911(1) Å, α = 109.45(1), β = 95.92(1) and γ = 93.02(1)° with Z = 2. Crystals of (2) are rhombohedral, space group R$\text{3}$, a_rhomb = 10.138(3) Å and α = 103.43(2)°. The environment of the Sb atom in (1) is based on a pentagonal bipyramidal geometry consisting of the six donor atoms of the three chelating ligands and a stereochemically active lone-pair of electrons which occupies the remaining axial position. The xanthate ligand chelates the Sb atom almost symmetrically with two long SbS bonds of 3.059(2) and 3.171(2) Å. In contrast the xanthate ligands in (2) chelate the Sb atom with asymmetric SbS bonds of 2.511(2) and 3.002(3) Å.     

Crystallization and preliminary X-ray investigation of the recombinant Trypanosoma brucei rhodesiense calmodulin

Bipyramidal crystals of the recombinant calmodulin from Trypanosoma brucei rhodesiense were obtained by vapor diffusion against 55% (v/v) 2-methyl-2,4-pentanediol in 0.05 M cacodylate buffer, pH 5.6. When few nucleation events occurred, crystals grew to 0.25 × 0.25 × 1.20 mm. The space group of the crystal is I4₁22, with unit cell dimensions a = b = 56.88 Å, c = 230.11 Å, α = β = γ = 90°, z = 16. The molecular mass and volume of the unit cell suggest that there is one molecule in the asymmetric unit. The I/σ(I) ratio for data at 3.0 Å resolution was 3.67, indicating that the final structure can be refined at higher resolution. Molecular replacement methods and the PC-refinement technique have not yet yielded the structure under a variety of search conditions. We are currently investigating the multiple isomorphous replacement approach to determine this crystal structure. © 1995 Wiley-Liss, Inc.     

The synthesis and molecular structure of diiodooctacarbonyldiosmium(I), [Os2(CO)8I2]

The compound, diiodooctacarbonyldiosmium(I), [Os₂(CO)₈I₂], has been prepared by a route involving only atmospheric pressures. Its structure has been determined by X-ray crystallography. The crystals are tetragonal with a = 11.791(2), c = 23.583(4) Å, Z = 8, D_c = 3.48 Mg m⁻³. A total of 1637 reflections were collected out to θ = 25° on a CAD4 diffractometer in ω—2θ mode using Mo Kα (λ = 0.7107 Å) radiation. Lp and empirical absorption corrections were applied. The structure was solved in the space group I4₁cd using conventional heavy atom methods and refined to R = 0.0477 [R_w = 0.0424, w = (σ²F)⁻¹]. The molecule of [Os₂(CO)₈l₂] has two crystallographically equivalent halves joined by a single OsOs bond of length 2.947(3) )Å. There are no bridging ligands. The geometry about each osmium is pseudo-octahedral and the iodine atoms occupy equatorial positions with an OsI distance of 2.767(3) Å. The equatorial ligands on one osmium atom are staggered with respect to the equatorial ligands on the other osmium atom.