Weakly dissipative predator-prey systems

In the presence of seasonal forcing, predator-prey models with quadratic interaction terms and weak dissipation can exhibit infinite numbers of coexisting periodic attractors corresponding to cycles of different magnitude and frequency. These motions are best understood with reference to the conservative case, for which the degree of dissipation is, by definition, zero. Here one observes the familiar mix of “regular” (neutrally stable orbits and tori) and chaotic motion typical of non-integrable Hamiltonian systems. Perturbing away from the conservative limit, the chaos becomes transitory. In addition, the invariant tori are destroyed and the neutrally stable periodic orbits becomes stable limit cycles, the basins of attraction of which are intertwined in a complicated fashion. As a result, stochastic perturbations can bounce the system from one basin to another with consequent changes in system behavior. Biologically, weak dissipation corresponds to the case in which predators are able to regulate the density of their prey well below carrying capacity.     

Nonlinear dynamics of the distributed biochemical systems functioning in the dissipative structure formation mode

Nonlinear dynamical biomolecular systems can evidently be considered as prototypes of information processing devices at molecular level capable to solve problems of high computational complexity. Keeping in mind this goal the dynamics of biochemical system based on enzymatic oxidation of uric acid was considered. The system was studied in the version of distributed biomolecular structure having predetermined geometry of enzyme distribution on a porous planar medium. Being in the regime of stepwise dissipative structure formation this system demonstrated complicated modes of behaviour.     

Periodic band pattern as a dissipative structure in ion transport systems with cylindrical shape

A theory is presented for appearance of periodic band patterns of ion concentration and electric potential associated with electric current surrounding a unicellular or multicellular system of a cylindrical shape. A flux continuity at the membrane (or the surface) is reduced to a nonlinear equation expressing passive and active fluxes across the membrane and intracellular diffusion flux. It is shown that, when an external parameter is varied from the sub-critical region, i.e. the homogeneous flux state, a symmetry breaking along a longitudinal axis usually appears prior to the one along a circumferential direction. The spectrum analysis shows that the correlation length is longer in the longitudinal direction. Growth of the band pattern from a patch-shaped pattern is demonstrated by the use of numerical calculations of proton concentration on the two-dimensional space of cylindrical surface. An experimental example of formative process of H⁺ banding is given for the internodal cell ofChara. It is shown that small patches on the surface decline or are sometimes gathered to the band surrounding the circle. The resulting pattern is suggested as a kind of dissipative structure appearing far from equilibrium.     

Immunotherapy of cervical cancer as a biological dissipative structure

Cervical cancer can be not only prevented, but also effectively treated. Decreased efficiency of biochemical, neurohormonal and/or immunological mechanisms leads to infectious states which, irrespective of their bacterial, viral or parasitic aetiology, are only the necessary, but not the sufficient causes of neogenesis. The cause of cancer is the natural and common phenomenon of the self-organization of systems, endangered by ending of their existence, into more efficient time-space structures at the expense of their surrounding. Infected cells or infectiously changed tissues in their final phase of existence are often recognized as a precancerous state, but their genome does not differ from other organism cells, and that is why the carcinogenesis can still be prevented by direct fighting of pathogenic microorganisms, and indirectly by strengthening the body by neurohormonal therapy or vaccine immunopotentialization. Primary prophylaxis of neoplasms requires that not only the dissipathogenic state of cells be prevented, but also their tissue surrounding be normalized to head off the risk of the self-organization of neoplastic forms of life, differing in their genetic identity from the surrounding cells. Lactovaginal immunopotentialization complements the conservative and operative methods of oncological treatment, as well as has prophylactic application in women with the history of miscarriages, premature deliveries, lack of or significantly shortened lactation, neurohormonal menstruating disorders, chronic and recurrent inflammations of the reproductive organs, long-term hormonal contraception and hormone replacement therapy during menopause, or only deficiency of Lactobacillus vaginalis, as indicators of risk of cervical cancer.     

A model of evolutionary appearance of dissipative structure in ecosystems

The interrelation between autonomous oscillations in local systems and stable dissipative structures in spatially distributed systems is analyzed. Darwinian evolution in populations comprising the ecosystem is shown to be able to cause the qualitative rearrangements of dynamic modes and smooth appearance of oscillations in local systems. The same evolutionary mechanisms analyzed within bilocal systems, may lead to appearance of dissipative structures (both smooth and sharp).     

Determination of pair interaction potential of particles in nonideal dissipative systems

A new method is proposed for reconstructing physical characteristics of nonideal systems by solving of an inverse problem in which the motion of interacting particles is described by a set of Langevin equations. The method allows one to simultaneously determine the interaction potential between dust grains, the friction coefficients, and the external confining potential. The method was verified by solving the problem numerically in a wide range of parameters typical of laboratory dusty plasmas.     

The structure of 2-carboxyquinolinatobis(triphenylphosphite)rhodium(I)

2-Carboxyquinolinatobis(triphenylphosphite)rhodium (I) was prepared by means of the following reaction: [Rh(Qin)(CO)₂] + 2P(OPh)₃→ [Rh(Qin)(P(OPh)₃)₂] + 2CO It crystallizes in the triclinic space groupP] witha = 12.406,b = 18.702,c = 9.547 Å, α = 76.36, β = 111.35, γ = 97.88^o and Z = 2. The structure was determined from 4520 observed reflections. the final R value was 0.051. The RhP bond distances may indicate (although the difference is only about 3σ) that the nitrogen atom the chelate ring has the largest trans influence. The chelate ring is significantly folded along the N---O axis.     

The solution structure of bis(acetylacetonato)oxovanadium(IV)

The behaviour of the bis-chelated oxovanadium(IV) complexes formed by acetylacetone (acac) and five of its derivatives was re-examined through a combination of spectroscopic methods in different solvents. It has been found that the complexes are penta-coordinated with a geometry close to the square pyramid and maintain in solution the same structure as in the solid state. The results rule out a cis-trans isomerism of the species VOL₂S (L = acac or derivative, S = solvent) in solution. Depending on the coordinating ability of the solvent a sixth molecule can be bound, more or less strongly, to the free axial position of the complexes. The combined application of the electronic absorption and IR spectroscopies allows to establish if the complexes in solution are penta- or hexa-coordinated.     

The influence of inductive ligand electronics on the metrical parameters and redox potentials of a series of manganese(II) compounds

In order to assess the changes in the redox activity of a metal ion that result from inductive effects, three electronically modified derivatives of the ligand, N-benzyl-N,N′-bis(2-pyridylmethyl)-1,2-ethanediamine (L^H), have been prepared: N-(4-nitro)benzyl-N,N′-bis(2-pyridylmethyl)-1,2-ethanediamine (L^NO2), N-(4-chloro)benzyl-N,N′-bis(2-pyridylmethyl)-1,2-ethanediamine (L^Cl), and N-(4-methoxy)benzyl-N,N′-bis(2-pyridylmethyl)-1,2-ethanediamine (L^OMe). Due to the lack of a fully conjugated π-system between the 4-benzyl substituent and the N-donors, the electronic perturbation should influence a bound metal ion’s redox properties through primarily inductive pathways. The organic ligands react with MnCl₂ to form mononuclear complexes with the general formula [Mn(L^R)Cl₂]. The parent ligand, L^H, and its three derivatives each coordinate Mn(II) ions in a cis-α conformation, with the amine N-donors installed trans to the Mn-Cl bonds. Despite its distance from the metal ion, the electron-donating or - withdrawing group has a notable impact on both the metrical parameters of the Mn(II) compounds and the Mn(III/II) reduction potential. A single inductive perturbation can vary the reduction potential by as much as 50 mV.     

The inflorescence structure of Campylotropis (Leguminosae)

Racemose inflorescences were investigated organographically and ontogenetically in three species of Campylotropis. An additional phyllome was found to be borne at the base of the pedicel in C. hirtella and C. giraldii but not in C. polyantha. Organographic observations revealed that the additional phyllome is the prophyll on the reduced lateral branch borne in the axil of the phyllome on the central inflorescence axis, and that the additional phyllome subtends the pedicel terminating in a flower. The flower presents its abaxial side to the additional phyllome in accordance with the organographic observations. Ontogenetic observations, moreover, revealed the presence of a rudimentary apex of the reduced branch in earlier stages of development. On the basis of such evidence, the central inflorescence axis of Campylotropis is interpreted as being composed of reduced lateral branches each of which usually bears only one flower in the additional phyllome axil. The inflorescence structure is kept in spite of the loss of the additional phyllome. In comparison with allied genera, the inflorescence of Campylotropis is regarded as a reduced pseudoraceme. An evolutionary trend in the inflorescence structure of the genus is inferred.     

Transport properties of quasi-two-dimensional dissipative systems with a screened Coulomb potential

Results are presented from numerical investigations of the dynamics of quasi-two-dimensional systems in the form of a monolayer of dust grains interacting by means of a screened Coulomb potential and suspended in the Earth’s gravitational field by an external electric field. The structural and transport characteristics of such a system, including the pair correlation functions and the viscosity and diffusion coefficients, were investigated over a broad parameter range corresponding to the conditions under which dust structures are observed in RF capacitive discharge plasmas. An analysis of the results obtained revealed that there is a specific topological transition typical of systems having a low spatial dimension.     

The crystal structure of alpha-chitin (poly-N-acetyl-D-glucosamine)

A detailed model for the crystal structure of the fibrous polysaccharide chitin is proposed. The structure determination has been carried out by using an optical analogue instrument which proved to be an adequate and rapid tool for the derivation of Fourier transforms, signs of amplitudes and the production of optical Fourier syntheses. The new model of chitin accounts properly for known chemical and physical properties, including the infrared absorption as well as for x-ray data, but because of the limited resolution of the diffraction patterns it can only be regarded as a good approximation. The stereochemical configuration of the polysaccharide chains has certain implications for the structure of cellulose.     

The three-dimensional structure of primary phloem systems

Summary A method has been developed for staining the phloem so that its ramifications can be observed directly in thick preparations. This method is based on clearing the material with lactic acid, staining with lacmoid and observing it in sodium lactate. Phloem anastomoses between the primary vascular strands of stem internodes were found to be common in many plant species (18 out 26 studied). These anastomoses are possible channels for the lateral distribution of materials in the stem and for movement of assimilates upwards from the leaves.     

Fine structure of photo-kinetic systems in Dinobryon cylindricum var. Alpinum (chrysophyceae)

The ultrastructure of the stigma and associated flagellar-microtubular systems in Dinobryon cylindricum var. alpinum is described in detail and compared with observations on comparable photo-kinetic systems in other chrysophycean organisms. The chloroplastidic stigma of D. cylindricum var. alpinum is shown to lie in a particular positional relationship to the flagellar swelling in the anterior furrow and to several other organelles, to consist of a monolayer of c. 40 pigmented granules, each c. 250–500 nm diameter, arranged in a definite pattern, and to be overlain by several membrane systems. Other cytoplasmic pigmented bodies with dense crystalline contents surrounded by a single “unit membrane” aggregate near the anterior furrow on the side opposite the stigma. The swelling on the proximal portion of the smooth flagellum is separated from the plasmalemma of the anterior furrow by a nearly constant distance of 75–100 nm, has a multilamellate substructure that is linked by fine radiating interconnections to the axoneme doublets, and is connected to the plasmalemma by a system of fibrillar interconnections. A transitional helix in the basal body region is described as similar to structures reported in other chrysophycean flagellates. A striated rhizoplast with a periodicity of c. 90 nm extends from basal body I to the nuclear envelope. A seven-stranded microtubular root extends from the same basal body. Other fibrous and microtubular root systems are also described. The inter-relationships and possible functions of the aforementioned structures are discussed.