On Circuit Functionality in Boolean Networks

It has been proved, for several classes of continuous and discrete dynamical systems, that the presence of a positive (resp. negative) circuit in the interaction graph of a system is a necessary condition for the presence of multiple stable states (resp. a cyclic attractor). A positive (resp. negative) circuit is said to be functional when it “generates” several stable states (resp. a cyclic attractor). However, there are no definite mathematical frameworks translating the underlying meaning of “generates.” Focusing on Boolean networks, we recall and propose some definitions concerning the notion of functionality along with associated mathematical results.     

Is Fe deficiency rather than P deficiency the cause of cluster root formation in Casuarina species?

When subjected, directly (through nutritional deficiencies) or indirectly (through alkaline constraints leading to such deficiencies) to nutrient deficiencies, certain plants respond by developing special root structures called cluster roots. This phenomenon can be considered as an ecophysiological response to a specific nutrient deficiency enabling plants to enhance nutrient uptake. Experiments conducted on an alkaline and an acid soil showed that Casuarina glauca (Sieber ex Spreng.) produced cluster roots only in the alkaline soil and not in the acid soil. In addition, iron (Fe) and phosphorus (P) deficiencies were examined separately or together to determine their effect on cluster root formation in C. glauca seedlings grown hydroponically. Results from experiments carried out on three Casuarina species (C. glauca, C. cunninghamiana Miq. and C. equisetifolia L.) indicated that Fe is involved in cluster root formation. In nutrient media lacking P but containing Fe, no cluster roots formed while seedlings receiving P and lacking Fe developed cluster roots. When incubated on chrome-azurol S-agar on blue plates (CAS assay), a technique used routinely to detect the production of siderophores by micro-organisms, the root system of Fe-deficient plants exhibited orange halos around cluster roots, indicating production of a ferric-chelating agent. It is concluded that the capacity of cluster roots of C. glauca to chelate Fe allows the plant to grow normally on alkaline soils.     

Purification and characterization of SepII a new restriction endonuclease from Staphylococcus epidermidis

A Type II restriction enzyme SepII has been purified to apparent homogeneity from the gram-positive coccus, Staphylococcus epidermidis. The purification included an ammonium sulfate precipitation followed by Q-sepharose, heparin-sepharose and MonoQ column chromatography on an FPLC system. SDS-PAGE analysis showed a denatured molecular weight of 29 kDa. The effects of temperature, pH, NaCl, Mn(2+), Ca(2+), and Mg(2+) ion concentrations were studied to determine the optimal reaction conditions. The enzyme exhibits near maximal levels of activity between pH 8-10, at 10-20mM MgCl(2), 100-150 mM NaCl and 1mM DTT. The results also show that in NEB Buffer 3 the enzyme is active over a broad temperature range from 0 to 70 °C, and in the absence of DNA, enzyme thermostability is observed up to 50 °C for 20 min, while most of the original activity is conserved in 50% glycerol for weeks at room temperature. Single and double digestion in presence of commercial restriction enzymes of known DNA substrates (lambda, pBR322, pET21, pTrcHisB, pPB67) showed that the purified SepII recognized and cleaved the same site as EcoRV. Genomic DNA modification status was also determined.     

Purification and characterization of the Streptococcus salivarius methionine aminopeptidase (MetAP)

Streptococcus salivarius methionine aminopeptidase (MetAP) was purified from a recombinant Escherichia coli strain containing the S. salivarius map gene, which codes for MetAP. S. salivarius map coded for a protein of 286 amino acids with a calculated molecular mass of 31,723 Da and a pI of 4.6. The native enzyme eluted from a Superdex column as a protein with a molecular mass of 30.6 kDa and cleaved N-terminal Met of peptide only when the penultimate amino acid was Gly, Ala, Ser, Val, Pro, or Thr. The enzyme was more active against tetrapeptides than tripeptides and did not recognize dipeptides. It required the presence of a metal cation for activity, with a preference for Co(2+) over Mn(2+). S. salivarius MetAP has a pH optimum of 8.0 and an optimal temperature at 50 degrees C. The S. salivarius protein had an extra sequence of 24 amino acids between two conserved aspartate residues involved in the coordination of the metal ion. A similar extra sequence is present in MetAP from other streptococci and from Lactococcus lactis, but not from other bacteria or eukaryotes.     

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.     

Strong and tough cellulose nanopaper with high specific surface area and porosity

In order to better understand nanostructured fiber networks, effects from high specific surface area of nanofibers are important to explore. For cellulose networks, this has so far only been achieved in nonfibrous regenerated cellulose aerogels. Here, nanofibrillated cellulose (NFC) is used to prepare high surface area nanopaper structures, and the mechanical properties are measured in tensile tests. The water in NFC hydrogels is exchanged to liquid CO2, supercritical CO2, and tert-butanol, followed by evaporation, supercritical drying, and sublimation, respectively. The porosity range is 40-86%. The nanofiber network structure in nanopaper is characterized by FE-SEM and nitrogen adsorption, and specific surface area is determined. High-porosity TEMPO-oxidized NFC nanopaper (56% porosity) prepared by critical point drying has a specific surface area as high as 482 m(2) g(-1). The mechanical properties of this nanopaper structure are better than for many thermoplastics, but at a significantly lower density of only 640 kg m(-3). The modulus is 1.4 GPa, tensile strength 84 MPa, and strain-to-failure 17%. Compared with water-dried nanopaper, the material is softer with substantiallly different deformation behavior.     

Metal ion dependence of DNA cleavage by SepMI and EhoI restriction endonucleases

Most of type II restriction endonucleases show an absolute requirement for divalent metal ions as cofactors for DNA cleavage. While Mg²⁺ is the natural cofactor other metal ions can substitute it and mediate the catalysis, however Ca²⁺ (alone) only supports DNA binding. To investigate the role of Mg²⁺ in DNA cleavage by restriction endonucleases, we have studied the Mg²⁺ and Mn²⁺ concentration dependence of DNA cleavage by SepMI and EhoI. Digestion reactions were carried out at different Mg²⁺ and Mn²⁺ concentrations at constant ionic strength. These enzymes showed different behavior regarding the ions requirement, SepMI reached near maximal level of activity between 10 and 20 mM while no activity was detected in the presence of Mn²⁺ and in the presence of Ca²⁺ cleavage activity was significantly decreased. However, EhoI was more highly active in the presence of Mn²⁺ than in the presence of Mg²⁺ and can be activated by Ca²⁺. Our results propose the two-metal ion mechanism for EhoI and the one-metal ion mechanism for SepMI restriction endonuclease. The analysis of the kinetic parameters under steady state conditions showed that SepMI had a K_m value for pTrcHisB DNA of 6.15 nM and a V_max of 1.79 × 10^?2 nM min^?1, while EhoI had a K_m for pUC19 plasmid of 8.66 nM and a V_max of 2 × 10^?2 nM min^?1.