Bifurcations in a mathematical model for circadian oscillations of clock genes

Circadian oscillations with a period of about 24h are observed in nearly all living organisms as conspicuous biological rhythms. In this paper, we investigate various kinds of bifurcation phenomena produced in a circadian oscillator model of Drosophila. In Drosophila, it is known that circadian oscillations in the levels of two proteins, PER and TIM, result from the negative feedback exerted by a PER-TIM complex on the expression of the per and tim genes that code for the two proteins. For studying circadian oscillations of proteins in Drosophila, a mathematical model has been proposed. The model cannot only account for regular circadian oscillations in environmental conditions such as constant darkness, but also give rise to more complex oscillatory phenomena including chaos and birhythmicity. By calculating bifurcations using Kawakami's method, we obtain detailed bifurcation diagrams related to stable and unstable invariant sets, and identify parameter regions in which the model generates complex oscillations as well as regular circadian oscillations. Moreover, we study bifurcations observed in the model incorporating the effect on a light-dark (LD) cycle and show that the waveform of the periodic variation in the light-induced parameter has a marked influence on the global bifurcation structure or the type of dynamic behavior resulting from the forcing term of the circadian oscillator by the LD cycles.     

Bidirectional modulation of neuronal responses by depolarizing GABAergic inputs

The reversal potential of GABAA receptor channels is known to be less negative than the resting membrane potential under some cases. Recent electrophysiological experiments revealed that a GABAergic unitary conductance with such a depolarized reversal potential could not only prevent but also facilitate action potential generation depending on the timing of its application relative to the excitatory unitary conductance. Using a two-dimensional point neuron model, we simulate the experiments regarding the integration of unitary conductances, and execute bifurcation analysis. Then we extend our analysis to the case in which the neuron receives two kinds of periodic input trains-an excitatory one and a GABAergic one. We show that the periodic depolarizing GABAergic input train can modulate the output time-averaged firing rate bidirectionally, namely as an increase or a decrease, in a devil's-staircase-like manner depending on the phase difference with the excitatory input train. Bifurcation analysis reveals the existence of a wide variety of phase-locked solutions underlying such a graded response of the neuron. We examine how the input time-width and the value of the GABAA reversal potential affect the response. Moreover, considering a neuronal population, we show that depolarizing GABAergic inputs bidirectionally modulate the amplitude of the oscillatory population activity.     

Inhibitors for expression of IgE receptor on human mast cell from Puerariae Flos

Bioassay-guided separation of the extract of the medicinal plant, Puerariae Flos, disclosed the two isoflavones tectorigenin (1) and genistein (2) as the inhibitors for expression of IgE receptor (FcεRI), the key molecule triggering the allergic reactions, on human mast cells. As a result of analysis of structure–activity relationship of the naturally occurring and synthesized isoflavones, 7-O-methyl glycitein (11) was disclosed as the more potent inhibitor than tectorigenin (1). These isoflavone ingredients suppressed expression of FcεRI more potently than the active flavonoids found previously. In addition, tectorigenin (1) was clarified to particularly reduce generation of γ-chain subunit to suppress expression of FcεRI among the three subunits.     

Roles of subcellular Na+ channel distributions in the mechanism of cardiac conduction

The gap junction and voltage-gated Na⁺ channel play an important role in the action potential propagation. The purpose of this study was to elucidate the roles of subcellular Na⁺ channel distribution in action potential propagation. To achieve this, we constructed the myocardial strand model, which can calculate the current via intercellular cleft (electric-field mechanism) together with gap-junctional current (gap-junctional mechanism). We conducted simulations of action potential propagation in a myofiber model where cardiomyocytes were electrically coupled with gap junctions alone or with both the gap junctions and the electric field mechanism. Then we found that the action potential propagation was greatly affected by the subcellular distribution of Na⁺ channels in the presence of the electric field mechanism. The presence of Na⁺ channels in the lateral membrane was important to ensure the stability of propagation under conditions of reduced gap-junctional coupling. In the poorly coupled tissue with sufficient Na⁺ channels in the lateral membrane, the slowing of action potential propagation resulted from the periodic and intermittent dysfunction of the electric field mechanism. The changes in the subcellular Na⁺ channel distribution might be in part responsible for the homeostatic excitation propagation in the diseased heart.     

On the Substrate Specificity of the Lipase Produced by Candida paralipolytica

The lipase from Candida paralipolytica required activating factors for the hydrolysis of synthetic triglycerides, methyl esters of fatty acid and so on. Of the saturated monoacid triglycerides tested, tricaprylin was hydrolyzed most quickly. On the other hand, the lipase was hardly able to hydrolyze methyl butyrate, methyl caproate, monoolein, Tween 20 and Span 20.

Human blood plasma did not act as an activator, but act rather as an inhibitor of the lipase. Therefore, it seems that the lipase does not belong to the group of lipoprotein lipase.     

Nonlinear dynamics and bifurcations of a coupled oscillator model for calling behavior of Japanese tree frogs (Hyla japonica)

Synchronization has been observed in various systems, including living beings. In a previous study, we reported a new phenomenon with antisynchronization in calling behavior of two interacting Japanese tree frogs. In this paper, we theoretically analyse nonlinear dynamics in a system of three coupled oscillators, which models three interacting frogs, where the oscillators of each pair have the property of antisynchronization; in particular, we perform bifurcation analysis and Lyapunov function analysis.     

Overexpression of TRPC1 enhances pulmonary vasoconstriction induced by capacitative Ca2+ entry

Transient receptor potential (TRP) cation channels are a critical pathway for Ca2+ entry during pulmonary artery (PA) smooth muscle contraction. However, whether canonical TRP (TRPC) subunits and which TRP channel isoforms are involved in store depletion-induced pulmonary vasoconstriction in vivo remain unclear. This study was designed to test whether overexpression of the human TRPC1 gene (hTRPC1) in rat PA enhances pulmonary vasoconstriction due to store depletion-mediated Ca2+ influx. The hTRPC1 was infected into rat PA rings with an adenoviral vector. RT-PCR and Western blot analyses confirmed the mRNA and protein expression of hTRPC1 in the arterial rings. The amplitude of active tension induced by 40 mM K+ (40K) in PA rings infected with an empty adenoviral vector (647 +/- 88 mg/mg) was similar to that in PA rings infected with hTRPC1 (703 +/- 123 mg/mg, P = 0.3). However, the active tension due to capacitative Ca2+ entry (CCE) induced by cyclopiazonic acid was significantly enhanced in PA rings overexpressing hTRPC1 (91 +/- 13% of 40K-induced contraction) compared with rings infected with an empty adenoviral vector (61 +/- 14%, P < 0.001). Endothelial expression of hTRPC1 was not involved since the CCE-induced vasoconstriction was also enhanced in endothelium-denuded PA rings infected with the adenoviral vector carrying hTRPC1. These observations demonstrate that hTRPC1 is an important Ca(2+)-permeable channel that mediates pulmonary vasoconstriction when PA smooth muscle cell intracellular Ca2+ stores are depleted.     

Construction of a screening system for selecting lysozyme mutants unable to form a stable structure from random mutants.

To collect folding information, we screened and analyzed the recombinant hen lysozyme mutants which were not secreted from yeast. As model mutants, Leu8Arg, Ala10Gly, and Met12Arg were prepared by site-directed mutagenesis and analyzed as to whether they were secreted from yeast or not. Consequently, Ala10Gly was found to be secreted from yeast, but Leu8Arg and Met12Arg were not. Next, these mutants were expressed in Escherichia coli and refolded in vitro. As a result, Ala10Gly folded as the wild-type did. Leu8Arg efficiently refolded in renaturation buffer containing glycerol. Met12Arg did not refold even in the presence of glycerol. These results show that the Ala10Gly mutation does not affect folding or stability, that Leu8Arg is too unstable to be secreted from yeast, and that Met12Arg may be very unstable or the mutation affects the folding pathway. We screened the mutants that were not secreted by yeast from a randomly mutated lysozyme library, and obtained Asp18His/Leu25Arg and Ala42Val/Ser50Ile/Leu56Gln. These two mutants were expressed in E. coli and then refolded in the presence of urea or glycerol. These mutants were refolded only in the presence of glycerol. Each single mutant of Asp18His/Leu25Arg and Ala42Val/Ser50Ile/Leu56Gln was independently prepared and folded in vitro. The results showed that Leu25Arg and Leu56Gln were the dominant mutations, respectively, which cause destabilization. These results show that the mutant lysozymes which were not secreted from yeast may be unstable or have a defect in the folding pathway. Thus, we established a screening system for selecting mutants which are unable to form a stable structure from random mutants.     

Degradation of 1,4-Dioxane and Cyclic Ethers by an Isolated Fungus

By using 1,4-dioxane as the sole source of carbon, a 1,4-dioxane-degrading microorganism was isolated from soil. The fungus, termed strain A, was able to utilize 1,4-dioxane and many kinds of cyclic ethers as the sole source of carbon and was identified as Cordyceps sinensis from its 18S rRNA gene sequence. Ethylene glycol was identified as a degradation product of 1,4-dioxane by the use of deuterated 1,4-dioxane-d₈ and gas chromatography-mass spectrometry analysis. A degradation pathway involving ethylene glycol, glycolic acid, and oxalic acid was proposed, followed by incorporation of the glycolic acid and/or oxalic acid via glyoxylic acid into the tricarboxylic acid cycle.