Single-molecule pulling experiments: when the stiffness of the pulling device matters

Using Langevin modeling, we investigate the role of the experimental setup on the unbinding forces measured in single-molecule pulling experiments. We demonstrate that the stiffness of the pulling device, K_eff, may influence the unbinding forces through its effect on the barrier heights for both unbinding and rebinding processes. Under realistic conditions the effect of K_eff on the rebinding barrier is shown to play the most important role. This results in a significant increase of the mean unbinding force with the stiffness for a given loading rate. Thus, in contrast to the phenomenological Bell model, we find that the loading rate (the multiplicative value K_effV, V being the pulling velocity) is not the only control parameter that determines the mean unbinding force. If interested in intrinsic properties of a molecular system, we recommend probing the system in the parameter range corresponding to a weak spring and relatively high loading rates where rebinding is negligible.     

The ionic environment determines ribozyme cleavage rate by modulation of nucleobase pK a

Several small ribozymes employ general acid–base catalysis as a mechanism to enhance site-specific RNA cleavage, even though the functional groups on the ribonucleoside building blocks of RNA have pK_a values far removed from physiological pH. The rate of the cleavage reaction is strongly affected by the identity of the metal cation present in the reaction solution; however, the mechanism(s) by which different cations contribute to rate enhancement has not been determined. Using the Neurospora VS ribozyme, we provide evidence that different cations confer particular shifts in the apparent pK_a values of the catalytic nucleobases, which in turn determines the fraction of RNA in the protonation state competent for general acid–base catalysis at a given pH, which determines the observed rate of the cleavage reaction. Despite large differences in observed rates of cleavage in different cations, mathematical models of general acid–base catalysis indicate that k₁, the intrinsic rate of the bond-breaking step, is essentially constant irrespective of the identity of the cation(s) in the reaction solution. Thus, in contrast to models that invoke unique roles for metal ions in ribozyme chemical mechanisms, we find that most, and possibly all, of the ion-specific rate enhancement in the VS ribozyme can be explained solely by the effect of the ions on nucleobase pK_a. The inference that k₁ is essentially constant suggests a resolution of the problem of kinetic ambiguity in favor of a model in which the lower pK_a is that of the general acid and the higher pK_a is that of the general base.     

On a formal definition of organization

A mathematic definition is proposed to account for the intuitive features of what is usually meant by organization. To account for both functional and structural aspects of organization the rate at which information content of a system changes in time is examined. It can be shown that Shannon's expression for ambiguity in a channel has two different meanings according to whether one is interested in the information transmitted in the channel or in the information transmitted to the observer from a whole system in which the channel is a part of a redundant communication network. This was applied in a previous work to show that the effects of noise on the information content H of a system result in two kinds of ambiguities, “autonomy-producing” and “destructive” leading to increase and decrease in H, respectively. By making use of this observation and Shannon's definition of redundancy R, a single equation for $\text{d}\text{H}\text{dt}$ is proposed to define organization on the basis of a kinetics of change of information content of a system under the effects of environmental noise-producing factors accumulated in time. It is shown how these factors, obviously responsible for a decrease in H, i.e. a “disorganizing” effect, can be responsible also—under certain conditions and up to a certain time or “dose” of noise—for an initial increase in H interpreted as a process of “self”-organization. The autonomy-producing ambiguity is expressed by a term of decrease in redundancy, while a second term in the equation, of decrease in maximum-non-redundant-information content expresses the destructive ambiguity. A given organization is defined at least by three parameters, which determine the main features of its characteristic function H(t). One of them is the initial information content H₀ and has a structural meaning. A second parameter, with a dimension of time, has the meaning of a functional reliability, related to the overall resistance of the system to noise-producing factors. The third parameter, namely the initial redundancy R₀, is both structural and functional in character, since structural redundancy is known to help insure reliability. Various conditions on these parameters lead to various kinds of organizations, with and without self-organizing properties.     

Analysis of the electron paramagnetic resonance spectrum of the cobalamin intermediate in ribonucleotide reduction

EPR absorption-derivative lineshapes have been computed and least-squares fitted to the spectrum of the intermediate derived from 5'-deoxy-5'-adenosyl-cobalamin in the ribonucleotide reductase reaction. A Gausian-type intrinsic lineshape was assumed and the effects of inhomogenous broadening, rotation of coordinate axes of the A-tensor relative to the g-tensor, angular dependence of transition probability and ligand hyperfine splitting have also been investigated.When the overall spectrum was computed as the sum of the linshapes corresponding to two distinct Co(II) species, A and B, each having rhombic asymmetry, the least squares procedure converged to a much better fit than with a single species, and matched almost all of the features of the experimental spectrum.The magnetic properties of A and B were compared with those of a series of other Co(II) complexes by a plot of g_|?g₆ versus ∥A₆∥?∥A_|∥. The results eliminate cobalt with 5-coordination to nitrogen for A and B, suggest low-spin cobalt complexes having strongly distorted 6-fold coordination. The possibility that the sixth, symmetry-decreasing ligand is the oxygen molecule is excluded by the chemistry of the system and by the EPR properties of previously reported cob(II)alamins. It is suggested that the sixth ligand is carbonyl, amide or sulfhydryl group of an enzyme sidechain which is inserted off-axis into the coordination position so as to exert the observed symmetry-lowering effect.     

Effects of Different PER Translational Kinetics on the Dynamics of a Core Circadian Clock Model

Living beings display self-sustained daily rhythms in multiple biological processes, which persist in the absence of external cues since they are generated by endogenous circadian clocks. The period (per) gene is a central player within the core molecular mechanism for keeping circadian time in most animals. Recently, the modulation PER translation has been reported, both in mammals and flies, suggesting that translational regulation of clock components is important for the proper clock gene expression and molecular clock performance. Because translational regulation ultimately implies changes in the kinetics of translation and, therefore, in the circadian clock dynamics, we sought to study how and to what extent the molecular clock dynamics is affected by the kinetics of PER translation. With this objective, we used a minimal mathematical model of the molecular circadian clock to qualitatively characterize the dynamical changes derived from kinetically different PER translational mechanisms. We found that the emergence of self-sustained oscillations with characteristic period, amplitude, and phase lag (time delays) between per mRNA and protein expression depends on the kinetic parameters related to PER translation. Interestingly, under certain conditions, a PER translation mechanism with saturable kinetics introduces longer time delays than a mechanism ruled by a first-order kinetics. In addition, the kinetic laws of PER translation significantly changed the sensitivity of our model to parameters related to the synthesis and degradation of per mRNA and PER degradation. Lastly, we found a set of parameters, with realistic values, for which our model reproduces some experimental results reported recently for Drosophila melanogaster and we present some predictions derived from our analysis.     

Circadian regulation of response to oxidative stress in Drosophila melanogaster

Circadian rhythms are fundamental biological phenomena generated by molecular genetic mechanisms known as circadian clocks. There is increasing evidence that circadian synchronization of physiological and cellular processes contribute to the wellness of organisms, curbing pathologies such as cancer and premature aging. Therefore, there is a need to understand how circadian clocks orchestrate interactions between the organism’s internal processes and the environment. Here, we explore the nexus between the clock and oxidative stress susceptibility in Drosophila melanogaster. We exposed flies to acute oxidative stress induced by hydrogen peroxide (H₂O₂), and determined that mortality rates were dependent on time at which exposure occurred during the day/night cycle. The daily susceptibility rhythm was abolished in flies with a null mutation in the core clock gene period (per) abrogating clock function. Furthermore, lack of per increased susceptibility to H₂O₂ compared to wild-type flies, coinciding with enhanced generation of mitochondrial H₂O₂ and decreased catalase activity due to oxidative damage. Taken together, our data suggest that the circadian clock gene period is essential for maintaining a robust anti-oxidative defense.     

Drosophila free-running rhythms require intercellular communication

Robust self-sustained oscillations are a ubiquitous characteristic of circadian rhythms. These include Drosophila locomotor activity rhythms, which persist for weeks in constant darkness (DD). Yet the molecular oscillations that underlie circadian rhythms damp rapidly in many Drosophila tissues. Although much progress has been made in understanding the biochemical and cellular basis of circadian rhythms, the mechanisms that underlie the differences between damped and self-sustaining oscillations remain largely unknown. A small cluster of neurons in adult Drosophila brain, the ventral lateral neurons (LN_vs), is essential for self-sustained behavioral rhythms and has been proposed to be the primary pacemaker for locomotor activity rhythms. With an LN_v-specific driver, we restricted functional clocks to these neurons and showed that they are not sufficient to drive circadian locomotor activity rhythms. Also contrary to expectation, we found that all brain clock neurons manifest robust circadian oscillations of timeless and cryptochrome RNA for many days in DD. This persistent molecular rhythm requires pigment-dispersing factor (PDF), an LN_v-specific neuropeptide, because the molecular oscillations are gradually lost when Pdf⁰¹ mutant flies are exposed to free-running conditions. This observation precisely parallels the previously reported effect on behavioral rhythms of the Pdf⁰¹ mutant. PDF is likely to affect some clock neurons directly, since the peptide appears to bind to the surface of many clock neurons, including the LN_vs themselves. We showed that the brain circadian clock in Drosophila is clearly distinguishable from the eyes and other rapidly damping peripheral tissues, as it sustains robust molecular oscillations in DD. At the same time, different clock neurons are likely to work cooperatively within the brain, because the LN_vs alone are insufficient to support the circadian program. Based on the damping results with Pdf⁰¹ mutant flies, we propose that LN_vs, and specifically the PDF neuropeptide that it synthesizes, are important in coordinating a circadian cellular network within the brain. The cooperative function of this network appears to be necessary for maintaining robust molecular oscillations in DD and is the basis of sustained circadian locomotor activity rhythms.     

On the free energy “cost of transition” in intermediary Metabolic processes and the evolution of cellular infrastructure

Certain questions are discussed regarding the evolution of spatial order in cellular metabolism. The treatment focuses on the significance of the transient phase (in steady-state transitions). For the purpose of simple, semi-quantitative analysis, an arbitrary metabolic process (multi-enzyme system) is modeled as a linear sequence of monomolecular reactions, governed by an initial “master reaction”. For such designs, explicit definition of the transient time τ may be obtained from previous studies; it is just a function of the K_m's and V_max's of the individual enzyme reactions. As indicated herein, the free energy “cost of transition” (ΔG)_τ, is related straightforwardly to the individual transient times of the multienzyme system. Using representations for K_m and V_max from a recent molecular enzyme-kinetic model (Somogyi & Damjanovich, 1971, 1975), the present report yields a novel expression for transient time, which depends explicitly on medium viscosity, enzyme concentration, and Boltzmann energy factor. It is seen that τ [and (ΔG)_τ] might be exceedingly large if a given metabolic process be pictured in complete communication with a bulk reaction-diffusion milieu in vivo. In general, excessive time delay and undue energy expenditures might arise from any of the following: (i) metabolic interferences due to pathway competition for common substrates; (ii) bulk motion; (iii) diffusional (viscosity) interference, e.g. that due to generalized Fickian diffusion. The situation would be acute particularly for cases where metabolites must be maintained at low intracellular concentration. It is recognized that living protoplasm may have obviated some of these difficulties and, concomitantly, economized on free energy by compartmentalizing much (if not all) of intermediary metabolism via multi-enzyme complexes and/or membrane-associated schemes. Experimental evidence lends support to such claim. The progression toward increased spatial organization is viewed here from the perspective of the following thermodynamic correlates of biological evolution: (a) increasing free energy dissipation and (b) increasing energetic efficiency. It is suggested that the evolution toward structuralization may be regarded simply as a trend toward increased “energetic profitableness” in cellular metabolism. In this context, a correspondence is proposed between real time and “thermodynamic time”. In conclusion, the basis of the thermodynamic approach to evolution is discussed.     

The development and initial validation of a virtual dripping sweat rate and a clothing wetness ratio for use in predictive heat strain models

This paper applies the heat balance equation (HBE) for clothed subjects as a linear function of mean skin temperature (t _sk ) by a new sweating efficiency (η _sw ) and an approximation for the thermoregulatory sweat rate. The equation predicting t _sk in steady state conditions was derived as the solution of the HBE and used for a predictive heat strain scale. The heat loss from the wet clothing (WCL) area was identified with a new variable of ‘virtual dripping sweat rate VDSR’ (S _wdr ). This is a subject’s un-evaporated sweat rate in dry clothing from the regional sweat rate exceeding the maximum evaporative capacity, and adds the moisture to the clothing, reducing the intrinsic clothing insulation. The S _wdr allowed a mass balance analysis of the wet clothing area identified as clothing wetness (w _cl ). The w _cl was derived by combining the HBE at the WCL surface from which the evaporation rate and skin heat loss from WCL region are given. Experimental results on eight young male subjects wearing typical summer clothing, T-shirt and trousers verified the model for predicting t _sk with WCL thermal resistance (R _cl,w ) identified as 25 % of dry clothing (R _cl,d ).     

Cryptochrome Mediates Light-Dependent Magnetosensitivity of Drosophila's Circadian Clock

Since 1960, magnetic fields have been discussed as Zeitgebers for circadian clocks, but the mechanism by which clocks perceive and process magnetic information has remained unknown. Recently, the radical-pair model involving light-activated photoreceptors as magnetic field sensors has gained considerable support, and the blue-light photoreceptor cryptochrome (CRY) has been proposed as a suitable molecule to mediate such magnetosensitivity. Since CRY is expressed in the circadian clock neurons and acts as a critical photoreceptor of Drosophila's clock, we aimed to test the role of CRY in magnetosensitivity of the circadian clock. In response to light, CRY causes slowing of the clock, ultimately leading to arrhythmic behavior. We expected that in the presence of applied magnetic fields, the impact of CRY on clock rhythmicity should be altered. Furthermore, according to the radical-pair hypothesis this response should be dependent on wavelength and on the field strength applied. We tested the effect of applied static magnetic fields on the circadian clock and found that flies exposed to these fields indeed showed enhanced slowing of clock rhythms. This effect was maximal at 300 μT, and reduced at both higher and lower field strengths. Clock response to magnetic fields was present in blue light, but absent under red-light illumination, which does not activate CRY. Furthermore, cry^b and cry^OUT mutants did not show any response, and flies overexpressing CRY in the clock neurons exhibited an enhanced response to the field. We conclude that Drosophila's circadian clock is sensitive to magnetic fields and that this sensitivity depends on light activation of CRY and on the applied field strength, consistent with the radical pair mechanism. CRY is widespread throughout biological systems and has been suggested as receptor for magnetic compass orientation in migratory birds. The present data establish the circadian clock of Drosophila as a model system for CRY-dependent magnetic sensitivity. Furthermore, given that CRY occurs in multiple tissues of Drosophila, including those potentially implicated in fly orientation, future studies may yield insights that could be applicable to the magnetic compass of migratory birds and even to potential magnetic field effects in humans.     

Temperature Compensation of Circadian Period Length in Clock Mutants of Neurospora crassa

Temperature compensation of circadian period length in 12 clock mutants of Neurospora crassa has been examined at temperatures between 16 and 34°C. In the wild-type strain, below 30°C (the “breakpoint” temperature), the clock is well-compensated (Q₁₀ = 1), while above 30°C, the clock is less well-compensated (Q₁₀ = 1.3). For mutants at the frq locus, mutations that shorten the circadian period length (frq-1, frq-2, frq-4, and frq-6) do not alter this temperature compensation response. In long period frq mutants (frq-3, frq-7, frq-8), however, the breakpoint temperature is lowered, and the longer the period length of the mutants the lower the breakpoint temperature. Long period mutants at other loci exhibit other types of alterations in temperature compensation—e.g. chr is well-compensated even above 30°C, while prd-3 has a Q₁₀ significantly less than 1 below 30°C. Prd-4, a short period mutant, has several breakpoint temperatures. Among four double mutants examined, the only unusual interaction between the individual mutations occurred with chr prd, which had an unusually low Q₁₀ value of 0.86 below 27°C. There was no correlation between circadian period length and growth rate. These strains should be useful tools to test models for the temperature compensation mechanism.     

A Mechanistic Model of the Regulation of Division Timing by the Circadian Clock in Cyanobacteria

The cyanobacterium Synechococcus elongatus possesses a circadian clock in the form of a group of proteins whose concentrations and phosphorylation states oscillate with daily periodicity under constant conditions. The circadian clock regulates the cell cycle such that the timing of the cell divisions is biased toward certain times during the circadian period, but the mechanism underlying this phenomenon remains unclear. Here, we propose a mechanism in which a protein limiting for division accumulates at a rate proportional to the cell volume growth and is modulated by the clock. This “modulated rate” model, in which the clock signal is integrated over time to affect division timing, differs fundamentally from the previously proposed “gating” concept, in which the clock is assumed to suppress divisions during a specific time window. We found that although both models can capture the single-cell statistics of division timing in S. elongatus, only the modulated rate model robustly places divisions away from darkness during changes in the environment. Moreover, within the framework of the modulated rate model, existing experiments on S. elongatus are consistent with the simple mechanism that division timing is regulated by the accumulation of a division limiting protein in a phase with genes whose activity peaks at dusk.     

Circadian control of permethrin-resistance in the mosquito Aedes aegypti

Daily fluctuation of permethrin-resistance was found in adult mosquito Aedes aegypti, the major vector of dengue viruses in Taiwan. We hypothesized there is a relationship between resistance and the circadian clock. To test our hypothesis we correlated changes in the knock-down time (KT₅₀) response to permethrin with the expression of the pyrethroid-resistant gene CYP9M9 and the clock gene period (per) during a 12:12 h photoperiodic cycle. Rhythmic expression of per peaked at early scotophase of the light-dark cycle and at early subjective night in constant darkness. The values of KT₅₀ and the expression of CYP9M9 also exhibited circadian rhythms in both susceptible and permethrin-resistant mosquito strains, from which we inferred a link to the circadian clock. The KT₅₀ was significantly longer in the light than in the dark phase, and the level of CYP9M9 mRNA was maximal in early scotophase, dropped to a minimum in the midnight and then slowly increased through the photophase. Existence of a clock control over mosquito sensitivity to permethrin was further indicated by reduced expression of CYP9M9 and reduced mosquito resistance to permethrin after temporal silencing of the per gene. These data provide the first evidence on the circadian control of insect resistance to permethrin.     

A High-Throughput In Vitro Drug Screen in a Genetically Engineered Mouse Model of Diffuse Intrinsic Pontine Glioma Identifies BMS-754807 as a Promising Therapeutic Agent

Diffuse intrinsic pontine gliomas (DIPGs) represent a particularly lethal type of pediatric brain cancer with no effective therapeutic options. Our laboratory has previously reported the development of genetically engineered DIPG mouse models using the RCAS/tv-a system, including a model driven by PDGF-B, H3.3K27M, and p53 loss. These models can serve as a platform in which to test novel therapeutics prior to the initiation of human clinical trials. In this study, an in vitro high-throughput drug screen as part of the DIPG preclinical consortium using cell-lines derived from our DIPG models identified BMS-754807 as a drug of interest in DIPG. BMS-754807 is a potent and reversible small molecule multi-kinase inhibitor with many targets including IGF-1R, IR, MET, TRKA, TRKB, AURKA, AURKB. In vitro evaluation showed significant cytotoxic effects with an IC₅₀ of 0.13 μM, significant inhibition of proliferation at a concentration of 1.5 μM, as well as inhibition of AKT activation. Interestingly, IGF-1R signaling was absent in serum-free cultures from the PDGF-B; H3.3K27M; p53 deficient model suggesting that the antitumor activity of BMS-754807 in this model is independent of IGF-1R. In vivo, systemic administration of BMS-754807 to DIPG-bearing mice did not prolong survival. Pharmacokinetic analysis demonstrated that tumor tissue drug concentrations of BMS-754807 were well below the identified IC₅₀, suggesting that inadequate drug delivery may limit in vivo efficacy. In summary, an unbiased in vitro drug screen identified BMS-754807 as a potential therapeutic agent in DIPG, but BMS-754807 treatment in vivo by systemic delivery did not significantly prolong survival of DIPG-bearing mice.