The regulation of water content of intact and glycerinated smooth muscle fibers in the ventricle of a fresh-water lamellibranch,Elliptio complanatus

Summary Smooth muscle fibers in the ventricle ofElliptio complanatus, a fresh-water lamellibranch, swell when placed in isosmotic sucrose solution. Swelling is reduced, but not abolished, when tissues are returned to sucrose solution containing monovalent cations. Greater reduction of swelling is observed if tissues are soaked in divalent cation-containing sucrose solution. Tissues exposed to Ca⁺⁺-containing solution return to their original weight, while tissues placed in Ba⁺⁺-containing solution shrink to below their original weight.Glycerinated muscle fibers, which lack a functioning semipermeable cell membrane, swell more in pure sucrose solution than intact muscle. Swelling in glycerinated tissue is reduced when ventricles are returned to sucrose solution containing monovalent cations, and reversed in divalent cationcontaining solution.Based upon such swelling and shrinking, upon analysis of the ion content of tissues exposed to the various solutions, and upon sucrose spaces in the tissues, it is argued that under these conditions, tissue volume is regulated at the cytoplasmic level, as has been suggested for amphibian smooth muscle. Mechanisms by which volume may be regulated by the cytoplasm are discussed.These results were reported in part at the 19th meeting of the Canadian Federation of Biological Societies, Halifax, Canada, June, 1976     

Growth of nonnecrotic tumors in the presence and absence of inhibitors

In this article a model for the evolution of a spherically symmetric, nonnecrotic tumor is presented. The effects of nutrients and inhibitors on the existence and stability of time-independent solutions are studied. With a single nutrient and no inhibitors present, the trivial solution, which corresponds to a state in which no tumor is present, persists for all parameter values, whereas the nontrivial solution, which corresponds to a tumor of finite size, exists for only a prescribed range of parameters, which corresponds to a balance between cell proliferation and cell death. Stability analysis, based on a two-timing method, suggests that, where it exists, the nontrivial solution is stable and the trivial solution unstable. Otherwise, the trivial solution is stable. Modification to these characteristic states brought about by the presence of different types of inhibitors are also investigated and shown to have significant effect. Implications of the model for the treatment of cancer are also discussed.     

Direct Staining of Reticular Fibers with Gold Chloride

Reticular fibers are selectively stained in paraffin sections of formalin-fixed or Bouin's-fixed tissue as follows: 1% aqueous solution of gold chloride for 20 min, followed by a 10 min immersion in an aqueous solution containing 5% Na₂CO₃ and 0.5% KOH. The sections then are placed in a 5% aqueous solution of KI for 2 min. Counterstaining with a 0.25% aqueous solution of methylene blue chloride is optional. The reticular fibers stain dark pink; the collagen bundles are a light pink to straw color without the counterstain, or a light blue color when the methylene blue is used.     

The catalytic domain of MMP-1 studied through tagged lanthanides

Pseudocontact shifts (pcs) and paramagnetic residual dipolar couplings (rdc) provide structural information that can be used to assess the adequacy of a crystallographic structure to represent the solution structure of a protein. This can be done by attaching a lanthanide binding tag to the protein. There are cases in which only local rearrangements are sufficient to match the NMR data and cases where significant secondary structure or domain rearrangements from the solid state to the solution state are needed. We show that the two cases are easily distinguishable. Whereas the use of solution restraints in the latter case is described in the literature, here we deal with how to obtain a better model of the solution structure in a case (the catalytic domain of the matrix metalloproteinase MMP-1) of the former class.     

Evidence from X-ray absorption fine structure spectroscopy for significant differences in the structure of concanavalin A in solution and in the crystal

We have used X-ray absorption fine structure spectroscopy (XAFS) to study and compare the structure of concanavalin A in crystals and in aqueous solution. Significant differences were found between crystal and solution in the configuration of the transition-metal site of the protein. The metal has six ligands in solution but only five in the crystal. The ligand bond lengths are shorter in the crystal than in solution. The vibrational disorder in the crystal and possibly the corresponding bond length show a negative temperature dependence whereas in solution they vary normally with temperature. The anomalous temperature dependence in the crystal suggests that as the temperature decreases the protein molecules are subject to additional stresses, which are transmitted as a tensile stress at the metal site leading to distorted geometry and lengthening and weakening of metal-ligand bonds.     

Stability analysis for a peri-implant osseointegration model

We investigate stability of the solution of a set of partial differential equations, which is used to model a peri-implant osseointegration process. For certain parameter values, the solution has a ‘wave-like’ profile, which appears in the distribution of osteogenic cells, osteoblasts, growth factor and bone matrix. This ‘wave-like’ profile contradicts experimental observations. In our study we investigate the conditions, under which such profile appears in the solution. Those conditions are determined in terms of model parameters, by means of linear stability analysis, carried out at one of the constant solutions of the simplified system. The stability analysis was carried out for the reduced system of PDE’s, of which we prove, that it is equivalent to the original system of equations, with respect to the stability properties of constant solutions. The conclusions, derived from the linear stability analysis, are extended for the case of large perturbations. If the constant solution is unstable, then the solution of the system never converges to this constant solution. The analytical results are validated with finite element simulations. The simulations show, that stability of the constant solution could determine the behavior of the solution of the whole system, if certain initial conditions are considered.     

Comparison of analytically and numerically derived hydrogen exchange-rate distribution functions

Hydrogen exchange-rate probability density functions for lysozyme have been derived by numerical Laplace inversion with the computer program CONTIN. The resulting solution set includes a smooth bimodal solution in agreement with previous analytical results together with a smooth three-peak solution. Numerical analysis of lysozyme hydrogen-exchange data in glycerol/water cosolvent mixtures confirms the previous assignment of the slow-exchange peak to an exchange mechanism involving reversible unfolding. Physicochemical constrations that can reduce the size of the solution set are described. The results are compared with those obtained from previous analytical methods and the limitations of the discrete class and analytical appraches are discussed.     

A Trichrome Stain for Insect Material

Deparaffinized insect sections are brought down to water and overstained in a 0.1% solution of azocarmine G in 1% acetic acid. They are then destained in a saturated solution of orange G until the azocarmine G is removed from the endocuticle and the latter is colored pale yellow. After washing, the sections are transferred to a 5.0 % solution of phosphotungstic acid in water for 3 min. They are then rinsed in distilled water and stained in a 0.1% solution of methyl green in 1% acetic acid until the endocuticle is green. Differentiation is done in 2 changes of 95% alcohol. The sections are then dehydrated either in absolute alcohol or dioxane, cleared in a mixture of “camsal”, eucalyptol, dioxane, and paraldehyde (1:2:2:1), and mounted in Mohr and Wehrle's medium, a mountant of the Euparal type.     

G-electrode-loading method for isoelectric focusing, enabling separation of low-abundance and high-molecular-mass proteins

The G-electrode-loading method (GELM) is a technique enabling a large number of proteins from rat liver to enter an immobilized pH gradient (IPG) gel strip for isoelectric focusing (IEF). In this method, three slips containing the sample solution are placed on the cathodic edge of an IPG gel strip and a slip containing Chaps solution, a filtration membrane, and an electrode slip are placed on top. Finally, a G-electrode is placed on these slips. The Chaps solution (an amphoteric compound) is supplied gently to the sample solution during IEF and helps the proteins in the sample solution to enter the IPG gel strips with a high solubilization capacity. This method was compared with traditional slip-loading and in-gel rehydration, and it showed the best results for protein separation, including high-molecular-mass proteins.     

The ability of an electric current to carry information for crystal growth patterns

When a current from a 1.5- dry cell is passed successively through two vessels containing 0.15 M sodium chloride solution the crystal pattern of the salt dried from the second vessel in the series is of the usual cubic symmetry. When the first vessel contains salt solution to which albumen has been added the crystal pattern in the second vessel changes to a more ornate form of a type found when albumen is present in the solution. Reasons are discussed for viewing the current as a carrier of properties of the protein solution able to induce some of those properties in pure salt solution.     

Floral activity in solutions of deoxyribonucleic Acid extracted from tobacco stems

For Nicotiana tabacum cv. Wis. 38 plants, the capabilities of solutions containing DNA, extracted from either homogenates of stems in a floral state or nuclei of stems in a vegetative state, to effect flowering of vegetative plants have been studied. Previous work indicates that the DNA from homogenates of stems in a floral state is mainly nuclear. If DNA solutions are supplied to axillary buds of vegetative plants and if the axillary buds are defoliated every 4th day for 12 days, the buds supplied a solution of DNA from stems in a floral state initiate flowers under noninductive conditions, and the buds supplied a solution of DNA from stems in a vegetative state remain vegetative. Heating and rapidly cooling a solution of DNA from stems in a floral state enhances its floral activity. Heating and cooling a DNA solution also results in novel flowers showing up in many treated plants. Novel flowers are more striking in the offspring than in the parents. The capabilities of heated-cooled DNA solution to initiate flowers in noninductive conditions and to cause novel flowers are eliminated completely by treating (before heating and cooling) the DNA solution with deoxyribonuclease. Heated-cooled solutions of DNA extracted from nuclei of either vegetative stems or vegetative leaves contain no floral activity.     

On the dependence of molecular conformation on the type of solvent environment: a molecular dynamics study of cyclosporin A

The dependence of the conformation of cyclosporin A (CPA), a cyclic undecapeptide with potent immunosuppressive activity, on the type of solvent environment is examined using the computer simulation method of molecular dynamics (MD). Conformational and dynamic properties of CPA in aqueous solution are obtained from MD simulations of a CPA molecule dissolved in a box with water molecules. Corresponding properties of CPA in apolar solution are obtained from MD simulations of CPA in a box with carbontetrachloride. The results of these simulations in H2O and in CCl4 are compared to each other and to those of previous simulations of crystalline CPA and of an isolated CPA molecule. The conformation of the backbone of the cyclic polypeptide is basically independent of the type of solvent. In aqueous solution the beta-pleated sheet is slightly weaker and the gamma-turn is a bit less pronounced than in apolar solution. Side chains may adopt different conformations in different solvents. In apolar solution the hydrophobic side chain of the MeBmt residue is in an extended conformation with its hydroxyl group hydrogen bonded to the backbone carbonyl group. In aqueous solution this hydrophobic side chain folds over the core of the molecule and the mentioned hydrogen bond is broken in favor of hydrogen bonding to water molecules. The conformation obtained from the MD simulation in CCl4 nicely agrees with experimental atom-atom distance data as obtained from nmr experiments in chloroform. In aqueous solution the relaxation of atomic motion tends to be slower than in apolar solution.     

Effect of organic substrates on available elemental contents in nutrient solution

In this paper, the changes of available elemental contents in the nutrient solution extracts of organic substrates (peat moss, charred rice husk, chicken manure, sawdust, turfgrass clipping and weathered coal) were studied and compared with that in the water extracts. Results showed that available elemental contents in the nutrient solution extracts are significantly different between organic substrates, whereas ionic concentrations are basically under steady condition after treatment for 36-108 h. Ionic contents in the nutrient solution extracts are not equal to the value of adding ionic concentrations in the supplied nutrient solution to that in the water extract. Thus, a mathematical model was proposed for adjusting the composition of supplied nutrient solution to match plant requirements in the organic soilless culture system.     

An exact analysis for a solute transport,due to simultaneous dialysis and ultrafiltration,in a hollow-fibre artificial kidney

Transport of a uremic solute effected by a combined dialysis and ultrafiltration procedure in a hollow-fibre artificial kidney, is investigated theoretically under standard assumptions. An exact analytical solution for the concentration profile in a blood channel is obtained by using the method of separation of variables. The necessary requirement that the solution must tend to that of pure dialysis, in the limit ultrafiltration tending to zero, is fulfilled. Exact analytical expressions are derived for the eigenconstants of the solution. In using the solution, the solute clearance is emphasized. Diffusive and ultrafiltration components of the solute clearance are defined and studied. The combined procedure is examined for middle versus small molecules and for polyacrylonitrile versus cuprophan hollow-fibres.     

The effects of two physiological salines, Locke's and van Harreveld's, on the midgut red chromatophores of the freshwater shrimp, Caridina denticulata

It was reported previously that the red chromatophores on the midgut of a freshwater shrimp, Caridina denticulata, are affected by Locke's and van Harreveld's solutions differently, i.e., the pigment disperses in Locke's solution and concentrates with the addition of crude eyestalk extract, but in Harreveld's solution the chromatophores do not change in the saline alone nor do they respond to eyestalk extract. The differences were probably due to the osmotic pressure and Mg ion concentrations of the two solutions not being the same. Harreveld's solution is commonly used as a physiological saline for freshwater crustaceans such as crayfish. Consequently, this solution was employed at first in a previous study (Miyawaki and Tsuruda, 1985). But this solution completely inhibited pigment migration in the chromatophores. But when Locke's solution was subsequently tried, migration of the pigment in the midgut chromatophores occurred. It seemed worthwhile to examine further the effects of both solutions on these chromatophores. The results of this study are presented below.     

一类中心型半连续动力系统的周期解

讨论了一类中心型半连续动力系统的阶1周期解和阶2周期解的存在性、个数及其稳定性,给出该中心型系统存在唯一、两个、无穷多个阶1周期解和阶2周期解的条件,并给出了相应理论结果的数值模拟.     

A novel solution for the time-dependent probability of gene fixation or loss under natural selection

Kimura proposed a solution for the time-dependent probability of fixation, or loss, of a gene under selection. Example calculations suggest the formulas are prone to numerical inaccuracies. An alternative solution is proposed; the correctness of the solution is confirmed by numerically solving the Kolmogorov backward equation and by simulation.     

Estimation of the influx and the radius of the depletion zone developing around a root during nutrient uptake

An approximation to the analytical solution of the one-dimensional diffusion equation in cylindrical coordinates is derived. The solution applies to a semi-infinite system with a prescribed concentration at the root surface. From this approximate solution, simple formulas for calculating the radius of the depletion zone and the nutrient flux at the root surface as a function of time are obtained.     

A Trichrome Stain for Insect Material

Deparaffinized insect sections are brought down to water and overstained in a 0.1% solution of azocarmine G in 1% acetic acid. They are then destained in a saturated solution of orange G until the azocarmine G is removed from the endocuticle and the latter is colored pale yellow. After washing, the sections are transferred to a 5.0 % solution of phosphotungstic acid in water for 3 min. They are then rinsed in distilled water and stained in a 0.1% solution of methyl green in 1% acetic acid until the endocuticle is green. Differentiation is done in 2 changes of 95% alcohol. The sections are then dehydrated either in absolute alcohol or dioxane, cleared in a mixture of “camsal”, eucalyptol, dioxane, and paraldehyde (1:2:2:1), and mounted in Mohr and Wehrle's medium, a mountant of the Euparal type.     

Structure and single crystal spectroscopy of Green Fluorescent Proteins

Usually, spectroscopic data on proteins in solution are interpreted at molecular level on the basis of the three-dimensional structures determined in the crystalline state. While it is widely recognized that the protein crystal structures are reliable models for the solution 3D structures, nevertheless it is also clear that sometimes the crystallization process can introduce some "artifacts" that can make difficult or even flaw the attempt to correlate the properties in solution with those in the crystalline state. In general, therefore, it would be desirable to identify some sort of control. In the case of the spectroscopic properties of proteins, the most straightforward check is to acquire data not only in solution but also on the crystals. In this regard, the Green Fluorescent Protein (GFP) is an interesting case in that a massive quantity of data correlating the spectroscopic properties in solution with the structural information in the crystalline state is available in literature. Despite that, a relatively limited amount of spectroscopic studies on single crystals of GFP or related FPs have been described. Here we review and discuss the main spectroscopic (in solution) and structural (in crystals) studies performed on the GFP and related fluorescent proteins, together with the spectroscopic analyses on various FPs members in the crystalline state. One main conclusion is that "in cristallo" spectroscopic studies are useful in providing new opportunities for gathering information not available in solution and are highly recommended to reliably correlate solution properties with structural features. This article is part of a Special Issue entitled: Protein Structure and Function in the Crystalline State.