Comparison of amide proton exchange in reduced and oxidizedRhodobacter capsulatus cytochrome c2: A1H−15N NMR study

Summary The hydrogen-deuterium exchange rates of the reduced and oxidized forms ofRhodobacter' capsulatus cytochrome c₂ were studied by¹H–¹⁵N homonuclear multiple quantum correlation spectroscopy. Minimal differences were observed for the N- and C-terminal helices on changing redox state suggesting that although these helices are structurally important they do not affect the relative stability of the two redox states and hence may not be important in determining the redox potential differences observed amongst the class I c-type cytochromes. However, significant differences were observed for other regions of the protein. For example, all slow exchanging protons of the helix spanning Phe⁸² to Asp⁸⁷ are similarly affected on reduction indicating that the unfolding equilibrium of this helix is altered between the two redox states. Other regions are not as simple to interpret; however, the difference in NH exchange rates between the redox states for a number of residues including His¹⁷, Leu³⁷, Arg⁴³, Ala⁴⁵, Gly⁴⁶, Ile⁵⁷, Val⁵⁸, Leu⁶⁰, Gly⁶¹ and Leu¹⁰⁰ suggest that interactions affecting the causes of these differences may be important factors in determining redox potential.Abbreviations NMR nuclear magnetic resonance - HMQC homonuclear multiple quantum correlation - NOESY nuclear Overhauser effect spectroscopy     

A model of cell firing patterns during epileptic seizures

A simplified model is presented of the dynamics of excitatory and inhibitory neurons in the cerebral cortex. A key feature of the model is that neurons may cease to fire when strongly depolarized (spike inactivation). Computer simulations for different parameters reveal five classes of solutons: a) steady states in which neither excitatory nor inhibitory cells are active, b) steady states in which one or both types of cells fire repetitively, c) states in which one type of cell fluctuates rapidly between bursts of action potentials and inactivity due to strong depolarization, d) rhythmic activity in which both types of cells fire in unison followed by a period of spike inactivation and e) states similar to d but in which the inhibitory cells never produce action potentials. Solutions b, c, d, and e qualitatively resemble the different firing patterns observed during experimental seizures. It is shown that changes in those parameters that are functions of potassium concentration can induce changes in the type of solution. It is therefore proposed that the increase in extracellular potassium concentration during seizures may be responsible for the progressive changes observed in firing patterns and particularly for the transition from tonic to clonic patterns. A method is also outlined for testing the predictions of the model.     

An Extended Gibbs Ensemble

Abstract

A general extended Gibbs ensemble, obtained by augmenting the standard Gibbs ensemble by intermediate states in the spirit of the scaled particle method of Nezbeda and Kolafa [Molec. Simul., 5, 391 (1991)], is introduced. The intermediate states span the states with different number of particles in the simulation boxes and facilitate the transfer of particles even in such complex systems as e.g., mixtures of very different components, systems of flexible polymeric molecules, or systems at very high densities. A general formulation of the ensemble is given and two implementations are considered in detail. The method is very general and is exemplified by studying the fluid-fluid coexistence in a dense binary mixture of the hard-sphere and square-well fluids. It is found that its efficiency is about by factor three greater in comparison with the standard Gibbs ensemble simulations.     

An hypothesis of freese and the DNA-protein coding problem

Freese’s Hypothesis states that a single specific alteration in the sequence of nucleotides of an information-bearing DNA molecule results in a specific mutational effect. Within the framework of the DNA-protein coding problem developed elsewhere, and assuming the quasi-ergodicity of the general coding process, it is shown that Freese’s Hypothesis allows us to derive expressions for the length of the smallest mutable DNA molecule and to obtain a bound for the maximal number of allelic molecules of fixed length. To illustrate these ideas, calculations are carried out on appropriate data from bacternophage and man, and the results are shown to differ by a factor of 10 (modulo the rather crude approximations used). It is further shown that, if ρ(N) and ϱ(N) are respectively the number of information-bearing words of lengthN in a given code and the number of words of lengthN, then the number lim ρ(N)/ϱ(N) depends sensitively on the parameter ∈ which specifiesN→∞ the given code. The implications of this result for the spontaneous aggregation of a sufficient number of information-bearing words to characterize an organism are discussed. This research was supported by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command, under Contract No. AF 49(638)-917.     

Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees

The nonlinear behavior of a particular Kolmogorov-type exploitation differential equation system assembled by May (1973,Stability and Complexity in Model Ecosystems, Princeton University Press) from predator and prey components developed by Leslie (1948,Biometrica 35, 213–245) and Holling (1973,Mem. Entomol. Soc. Can. 45, 1–60), respectively, is re-examined by means of the numerical bifurcation code AUTO 86 with model parameters chosen appropriately for a temperature dependent mite interaction on fruit trees. The most significant result of this analysis is that, in addition to the temperature ranges over which the single community equilibrium point of the system iseither globally stableor gives rise to a globally stable limit cycle, there can also exist a range wherein multiple stable states occur. These stable states consist of a focus (spiral point) and a limit cycle, separated from each other in the phase plane by an unstable limit cycle. The ecological implications of such metastability, hysteresis and threshold behavior for the occurrence of outbreaks, the persistence of oscillations, the resiliency of the system and the biological control of mite populations are discussed. It is further suggested that a model of this sort which possesses a single community equilibrium point may be more useful for representing outbreak phenomena, especially in the presence of oscillations, than the non-Kolmogorov predator-prey systems possessing three community equilibrium points, two of which are stable and the other a saddle point, traditionally employed for this purpose.     

Monocyclic β-lactam and unexpected oxazinone formation: synthesis,crystal structure,docking studies and antibacterial evaluation

Novel monocyclic β-lactam derivatives bearing aryl, phenyl and heterocyclic rings were synthesized as possible antibacterial agents. Cyclization of imines (3h, 3t) with phenylacetic acid in the presence of phosphoryl chloride and triethyl amine did not afford the expected β-lactams. Instead, highly substituted 1,3-oxazin-4-ones (4h, 4t) were isolated as the only product and confirmed by single crystal X-ray analysis of 4t. The results of antibacterial activity showed that compound 4l exhibited considerable antibacterial activity with MIC and MBC values of 62.5?µg/mL against Klebsiella pneumoniae. Cytotoxicity assay on Chinese Hamster Ovary (CHO) cell line revealed non-cytotoxic behavior of compounds 4d, 4h, 4k and 4l up to 200?μg/mL conc. Molecular docking was performed for compound 4l with penicillin binding protein-5 to identify the nature of interactions. The results of both in silico and in vitro evaluation provide the basis for compound 4l to be carried as a potential lead molecule in the drug discovery pipeline against bacterial infections.     

Contributions to relational biology

The principle of biotopological mapping (Rashevsky, 1954,Bull. Math. Biophysics,16, 317–48) is given a generalized formulation, as the principle of relational epimorphism in biology. The connection between this principle and Robert Rosen’s representation of organisms by means of categories (1958,Bull. Math. Biophysics,20, 317–41) is studied. Rosen’s theory of (M,R)-systems, (1958,Bull. Math. Biophysics,20, 245–60) is generalized by dropping the assumption that only terminalM _i components are sending inputs into theR _i components. It is shown that, if the primordial organism is an (M,R)-system, then the higher organisms, obtained by a construction well discussed previously (1958,Bull. Math. Biophysics,20, 71–93), are also (M,R)-systems. Several theorems about such derived (M,R)-systems are demonstrated. It is shown that Rosen’s concept of an organism as a set of mappings throws light on phenomena of synesthesia and also leads to the conclusion that Gestalt phenomena must occur not only in the fields of visual and auditory perception but in perceptions of any modality.     

A Computer Graphics Study of Sequence-Directed Bending in DNA

Abstract

We present theoretical results to account for the unusual physical properties of a 423 bp DNA restriction fragment isolated from the kinetoplast of the trypanosomatid Leishmania tarentolae. This fragment has an anomalously low electrophoretic mobility in Polyacrylamide gels and a rotational relaxation time smaller than that of normally-behaved control fragments of the same molecular weight. Our earlier work (Proc. Natl. Acad. Sci. USA 79, 7664, 1982) has attributed these anomalies to the highly periodic distribution of the dinucleotide ApA in the DNA sequence. As originally proposed by Trifonov and Sussman (Proc. Natl. Acad. Sci. USA 77, 3816,1980) local features of the DNA structure such as a small bend at ApA, if repeated with the periodicity of the helix, will cause systematic bending of the molecule.

Computer graphics representations of DNA chain trajectories are presented for different structural models. It is shown that the structural model of Calladine (J. Mol. Biol. 161, 343, 1982) which is based on crystallographic data, is unsuccessful in predicting the systematic bending of DNA in solution.     

Further studies of some aspects of a neurobiophysical model of schizophrenia

The neurobiophysical model of schizophrenia discussed previously (Bull. Math. Biophysics,26, 167–185, 1964;27, 21–26, 1965) is generalized further, to include catatonic and stuporous states. It is concluded that the development of schizophrenia will proceed through different stages of catatonic and non-catatonic states, depending on parameters which characterize on one hand the general inhibition of the individual, on the other hand what may be called his “stability.” Suggestions for possible clinical verifications of the conclusions are made.     

A new tribe,Bryantheae (Ericoideae: Ericaceae), composed of disjunct genera from South America and Japan

Bryantheae, a new tribe, is proposed within the Ericoideae (Ericaceae). Bryantheae is composed of Bryanthus (Japan) and Ledothamnus (South America). This clade was discovered during a larger study of the Ericoideae, and is based on multiple analyses of six genes. Several morphological characters are shared among members of this clade, but more study is needed in order to establish whether the character states are synapomorphic.     

A note on the development of organismic sets

It is suggested that the development of organismic sets is governed not by the maximalization of the integral survival value, as suggested previously (Bull. Math. Biophysics,28, 283–308, 1966;29, 139–152, 1967;30, 163–174, 1968), but by maximizing the number of new relations which appear as an organismic set develops.     

Decay processes of electric birefringence in chemically reacting system

Analytical and numerical calculations of the decay processes of the electric birefringence in an isomerizing system have been performed. Two modes of isomerization are considered: in the first mode, the direction of the axis (of the optical anisotropy) of a molecule is conserved during isomerization; in the second mode, it is not. In the first mode, if G_Ais not equal to G_B, and that, if k_A^op_A² is not equal to k_B^op_B² (when the orienting electric field is weak), in which G_A, G_B and p_A, p_b are the optical anisotropy and permanent electric dipole moments, of the molecule in two states A and B of the isomerization, and k_A^o and k_B^o are the rate constants for the transitions A → B and B → A, respectively, and if diffusion rates are very much slower than the chemical rates, the relaxation due to the chemical reaction can be detected in the decay of the electric birefringence. In the second mode, if diffusion rates are somewhat slower than the chemical rates, the relaxation due to the chemical reaction appears in the decay, even though there are no differences in optical anisotropy and electric moments in the two states. When the rotary diffusion coefficients are different in the two states, the decay process becomes almost one-component, bringing the chemical rate about ten times higher to diffusion coefficients in both modes.     

Possible Molecular Detent in the DNA Structure at Regulatory Sequences

Abstract

A common feature that appears in a number of DNA sites where proteins interact is the sequence GTG/CAC. In the lac operator this sequence leads to a region with a higher imino proton exchange rate well below the optical melting temperature. It is suggested that this reflects a structural feature recognized by proteins that bind specific sites on the DNA molecule.     

Comparison of inactivation and unfolding of green crab (Scylla serrata) alkaline phosphatase during denaturation by guanidinium chloride

Green crab (Scylla serrata) alkaline phosphatase (EC 3.1.3.1) is a metalloenzyme, each active site in which contains a tight cluster of two zinc ions and one magnesium ion. Unfolding and inactivation of the enzyme during denaturation in guanidinium chloride (GuHCl) solutions of different concentrations have been compared. The kinetic theory of the substrate reaction during irreversible inhibition of enzyme activity previously described by Tsou [(1988),Adv. Enzymol. Related Areas Mol. Biol. 61, 381–436] has been applied to a study on the kinetics of the course of inactivation of the enzyme during denaturation by GuHCl. The rate constants of unfolding and inactivation have been determined. The results show that inactivation occurs before noticeable conformational change can be detected. It is suggested that the active site of green crab alkaline phosphatase containing multiple metal ions is also situated in a limited region of the enzyme molecule that is more fragile to denaturants than the protein as a whole.     

Analysis of tracer experiments: IV. The kinetics of generalN compartment systems

The methods of C. W. Sheppard and A. S. Householder (Jour. App. Physcis,22, 510–20, 1951), H. D. Landahl (Bull. Math. Biophysics,16, 151–54, 1954) and H. E. Hart (Bull. Math. Biophysics,17, 87–94, 1955;ibid.,19, 61–72, 1957;ibid.,20, 281–87, 1958) are employed in studying the kinetics of generalN compartment systems. It is shown that the nature of the transfer processes occurring in fluid flow systems and the chemical processes occurring in quadratic systems and in catalyzed quadratic systems can in principle be completely determined for all polynomial dependencies. Systems involving three-body and higher-order interactions can be completely solved, however, only if supplementary information is available. Research supported by the Atomic Energy Commission, Contract AT (30-1)-1551.     

Logical identification of all steady states: The concept of feedback loop characteristic states

Biological regulatory systems can be described in terms of non-linear differential equations or in logical terms (using an “infinitely non-linear” approximation). Until recently, only part of the steady states of a system could be identified on logical grounds. The reason was that steady states frequently have one or more variable located on a threshold (see below); those steady states were not detected because so far no logical status was assigned to threshold values. This is why we introduced logical scales with values 0,¹θ, 1²θ, 2, ..., in which¹θ,²θ, ... are the logical values assigned to the successive thresholds of the scale. We thus have, in addition to the regular logical states,singular states in which one or more variables is located on a threshold. This permits identifyingall the steady states on logical grounds. It was noticed that each feedback loop (or reunion of disjointed loops) can be characterized by a logical state located at the thresholds at which the variables of the loop operate. This led to the concept ofloop-characteristic state, which, as we will see, enormously simplifies the analysis.The core of this paper is a formal demonstration that among the singular states of a system, only loop-characteristic states can be steady. Reciprocally, given a loop-characteristic state, there are parameter values for which this state is steady; in this case, the loop is effective (i.e. it generates multistationarity if it is a positive loop, homeostasis if it is a negative loop). This not only results in the above-mentioned radical simplification of the identification of the steady states, but in an entirely new view of the relation between feedback loops and steady states.     

Does K-selection imply prudent predation?

Competition models are derived from predator-prey models. The population parameters r and K are thus expressed as composites of quantities measuring properties of the individual. This enables us to show that the idea that K-selection maximizes K is not valid as a general principle and is equivalent to asserting that selection on predators leads to prudent predation. Models of density-dependent selection, which predict maximization of K, implicitly assume no evolution of hunting efficiency. A valid general principle instead states that K-selection minimizes the equilibrium density of prey or food resource. It is then shown that the phenotypic profiles of r- and K-selected organisms are often identical. They diverge only if there are genetic constraints of a particular kind between the various evolving traits. Furthermore, divergence is in opposite direction to that which is commonly expected.     

Comparison of the Antioxidant Properties and the Toxicity of <Emphasis Type="Italic">p</Emphasis>,<Emphasis Type="Italic">p</Emphasis>′-Dichlorodiphenyl Ditelluride with the Parent Compound,Diphenyl Ditelluride

The hypothesis to be tested in this study is whether the introduction of the chloro group into diphenyl ditelluride molecule (p,p′-dichlorodiphenyl ditelluride, compound 1b) alters the antioxidant and scavenging activity of diphenyl ditelluride (compound 1a) in vitro. The results revealed that 1a and 1b had a potent antioxidant activity in vitro. However, the introduction of a functional group, chloro, into diphenyl ditelluride molecule (1b) did not cause great alterations in the antioxidant action of diphenyl ditelluride against lipid peroxidation, protein carbonyl, and scavenging of 2,2′-azinobis-(3-ethylbenzothiazoline-6-sulfonate) and 2,2′-diphenyl-1-picrylhydrazyl radicals. Based on the in vitro results, different doses (0.25 and 0.75 μmol/kg) of 1a and 1b or vehicle (canola oil, 1 ml/kg) were administered to rats to investigate if the presence of chloro into diphenyl ditelluride molecule reduces its toxicity. The data demonstrate that the chloro group introduced into diphenyl ditelluride molecule did not alter the acute oral toxicity in rats. The administration of compound 1a in rats only altered the urea level, while compound 1b caused alterations in all toxicological parameters analyzed (alanine aminotransferase and aspartate aminotransferase activities, urea and creatinine levels) in plasma of rats. The results of the present investigation support similar antioxidant and scavenging activities of 1a and 1b in rat liver homogenate in vitro. Furthermore, the presence of chloro into diphenyl ditelluride molecule did not alter the mortality index but increased toxicity of diphenyl ditelluride in rats.     

An application of the segregation model for septation of Escherichia coli

A diffusion process moving in an attractive environment is segregated if it reaches one of several excited states. This segregation model is applied to the problem of septation of a mutant Escherichia coli, which shows its interesting character at high temperature (41°C) and after temperature shift down. An Escherichia coli is considered as a distribution of a diffusion process (= a molecule in the Escherichia coli), and an environment potential which produces an attractive centre in the Escherichia coli is assumed.