An enzymatic model of the growth hormone-releasing hormone oscillator incorporating neuronal synchronization.

Models of growth hormone (GH) rhythmogenesis which we and others have presented suggest that the GH pulses in the circulation are generated by a GH-releasing hormone (GHRH) oscillator with a 1h periodicity. Here we examine the possibility that this is an intrinsic neuronal rhythm resulting from enzymatic reactions occurring in the axon terminals. A "Baselator" feedback reaction sequence can generate an hourly chemical burst of a primer (presumably a low molecular weight peptide) regulating Ca(2+)-triggered exocytosis of GHRH-loaded vesicles. Accordingly we propose that the priming species is largely immobilized by binding within the terminals. Free unbound primer is able to diffuse and is alternately phosphorylated and dephosphorylated by a kinase and a phosphatase (or undergoes a similar pair of complementary reactions). Under appropriate conditions involving feedback control of one or other of the enzymes the levels of both unreacted and reacted free primer peak sharply at hourly intervals. It is self-evident that synchronization between the packed terminals of the GHRH neurons at the median eminence is necessary to generate highly ordered in vivo pulses of GH release. Gap junctions provide a means of interterminal communication for the primer. Simulations of clusters of 4 adjacent axon terminals in a linear array were performed to assess whether and when synchrony can occur. With gap junctions closed the axons were set to be 90 degrees out of phase, i.e. their chemical bursts were separated by 15 min. Opening the gap junctions, assuming either that only the unphosphorylated species permeates, or that both species permeate, resulted in rapid overall synchronization. The oscillatory systems undergo mutual entrainment and all peaks appeared simultaneously at an intermediate hourly interval. This result was independent of the mode of chemical feedback, whether positive or negative. Closing the gap junctions led to a gradual, but not immediate, loss of synchrony.

Analysis of chemotaxis when the fraction of responsive cells is small--application to mammalian sperm guidance.

The detection of chemotaxis-related changes in the swimming behavior of mammalian spermatozoa in a spatial chemoattractant gradient has hitherto been an intractable problem. The difficulty is that the fraction of responsive cells in the sperm population is very small and that the large majority of the cells, though non-responsive, are motile too. Assessment of the chemotactic effects in a spatial gradient is also very sensitive to the quality of sperm tracking. To overcome these difficulties we propose a new approach, based on the analysis of the distribution of instantaneous directionality angles made by spermatozoa in a spatial gradient versus a no-gradient control. Although the use of this parameter does not allow identification of individual responding cells, it is a reliable measure of directionality, independent of errors in cell tracking caused by cell collisions, track crossings, and track splitting. The analysis identifies bias in the swimming direction of a population relative to the gradient direction. It involves statistical chi2 tests of the very large sample of measured angles, where the critical chi2 values are adjusted to the sample size by the bootstrapping procedure. The combination of the newly measured parameter and the special analysis provides a highly sensitive method for the detection of a chemotactic response, even a very small one.

Bacterial flagellar motor and H(+)/ATP synthase: two proton-driven rotary molecular devices with different functions.

Both the bacterial flagellar motor and the H(+)/ATP synthase are membrane-bound macromolecular complexes in which the movement of protons through channels across the membrane is coupled to the rotation of a part of the complex around an axis perpendicular to the membrane. Despite this similarity, the two devices are designed for quite different functions. The flagellar motor is responsible for a practically smooth rotation of the flagellar filament in order to propel the cell. Smooth rotation is not essential for the H(+)/ATP synthase, which accumulates torque by twisting a rod-shaped structure. Possible mechanisms for generating torque in the two devices are presented, based on the models which have been proposed. The performances of the various mechanisms are discussed.

Thermotaxis of human sperm cells in extraordinarily shallow temperature gradients over a wide range.

On the basis of the finding that capacitated (ready to fertilize) rabbit and human spermatozoa swim towards warmer temperatures by directing their movement along a temperature gradient, sperm thermotaxis has been proposed to be one of the processes guiding these spermatozoa to the fertilization site. Although the molecular mechanism underlying sperm thermotaxis is gradually being revealed, basic questions related to this process are still open. Here, employing human spermatozoa, we addressed the questions of how wide the temperature range of thermotaxis is, whether this range includes an optimal temperature or whether spermatozoa generally prefer swimming towards warmer temperatures, whether or not they can sense and respond to descending temperature gradients, and what the minimal temperature gradient is to which they can thermotactically respond. We found that human spermatozoa can respond thermotactically within a wide temperature range (at least 29-41°C), that within this range they preferentially accumulate in warmer temperatures rather than at a single specific, preferred temperature, that they can respond to both ascending and descending temperature gradients, and that they can sense and thermotactically respond to temperature gradients as low as <0.014°C/mm. This temperature gradient is astonishingly low because it means that as a spermatozoon swims through its entire body length (46 µm) it can sense and respond to a temperature difference of <0.0006°C. The significance of this surprisingly high temperature sensitivity is discussed.

Testing human sperm chemotaxis: how to detect biased motion in population assays.

Biased motion of motile cells in a concentration gradient of a chemoattractant is frequently studied on the population level. This approach has been particularly employed in human sperm chemotactic assays, where the fraction of responsive cells is low and detection of biased motion depends on subtle differences. In these assays, statistical measures such as population odds ratios of swimming directions can be employed to infer chemotactic performance. Here, we report on an improved method to assess statistical significance of experimentally determined odds ratios and discuss the strong impact of data correlations that arise from the directional persistence of sperm swimming.

Energy complexes are apparently associated with the switch-motor complex of bacterial flagella.

Recently, the switch-motor complex of bacterial flagella was found to be associated with a number of non-flagellar proteins, which, in spite of not being known as belonging to the chemotaxis system, affect the function of the flagella. The observation that one of these proteins, fumarate reductase, is essentially involved in electron transport under anaerobic conditions raised the question of whether other energy-linked enzymes are associated with the switch-motor complex as well. Here, we identified two additional such enzymes in Escherichia coli. Employing fluorescence resonance energy transfer in vivo and pull-down assays invitro, we provided evidence for the interaction of F(0)F(1) ATP synthase via its ß subunit with the flagellar switch protein FliG and for the interaction of NADH-ubiquinone oxidoreductase with FliG, FliM, and possibly FliN. Furthermore, we measured higher rates of ATP synthesis, ATP hydrolysis, and electron transport from NADH to oxygen in membrane areas adjacent to the flagellar motor than in other membrane areas. All these observations suggest the association of energy complexes with the flagellar switch-motor complex. Finding that deletion of the ß subunit in vivo affected the direction of flagellar rotation and switching frequency further implied that the interaction of F(0)F(1) ATP synthase with FliG is important for the function of the switch of bacterial flagella.

Interactions of ghrelin signaling pathways with the GH neuroendocrine axis: a new and experimentally tested model.

Growth hormone (GH) is secreted in a pulsatile fashion from the pituitary gland into the circulation. Release is governed by two hypothalamic neuropeptides, growth hormone-releasing hormone (GHRH) and somatostatin (SRIF), resulting in secretion episodes with a periodicity of 3.3 h in the male rat. Ghrelin is an additional recently identified potent GH-secretagogue. However, its in vivo interactions with the GH neuroendocrine axis remain to be elucidated. Moreover, two different sites of ghrelin synthesis are involved, the stomach and the hypothalamus. We used our previously developed core model of GH oscillations and added the sites of ghrelin action at the pituitary and in the hypothalamus. With this extended model, we simulated the effects of central and peripheral ghrelin injections, monitored the GH profile and compared it with existing experimental results. Systemically administered ghrelin elicits a GH pulse independent of SRIF, but only in the presence of GHRH. The peripheral ghrelin signal is mediated to the brain via the vagus nerve, where it augments the release of GHRH and stimulates the secretion of neuropeptide-Y (NPY). By contrast, centrally administered ghrelin initiates a GH pulse by increasing the GHRH level and by antagonizing the SRIF block at the pituitary. In addition, NPY neurons are activated, which trigger a delayed SRIF surge. The major novel features of the present model are a) the role played by NPY, and b) the dissimilar functions of ghrelin in the hypothalamus and at the pituitary. Furthermore, the predictions of the model were experimentally examined and confirmed.

A kinetic and stochastic analysis of crossbridge-type stepping mechanisms in rotary molecular motors.

The bacterial flagellar motor is generally supposed to be a stepping mechanism. The main evidence for this is based on a fluctuation analysis of experiments with tethered bacteria in which rotation frequency was varied by applying an external torque: the variance in time taken for a fixed number of revolutions was found to be essentially proportional to the inverse square of the frequency. This behavior was shown to characterize a Poissonian stepper. Here we present a rigorous kinetic and stochastic analysis of elastic crossbridge stepping in tethered bacteria. We demonstrate that Poissonian stepping is a virtually unachievable limit. To the extent that a system may approach Poissonian stepping it cannot be influenced by an externally applied torque; stepping mechanisms capable of being so influenced are necessarily non-Poissonian and exhibit an approximately inverse cubic dependence. This conclusion applies whatever the torsional characteristics of the tether may be, and contrary to claims, no perceptible relaxation of the tether following each step is found. Furthermore, the inverse square dependence is a necessary but not sufficient condition for Poissonian stepping, since a nonstepping mechanism, which closely reproduces most experimental data, also fulfills this condition. Hence the inference that crossbridge-type stepping occurs is not justified.

Chemotaxis of capacitated rabbit spermatozoa to follicular fluid revealed by a novel directionality-based assay.

Precontact communication between gametes is established by chemotaxis. Sperm chemotaxis toward factor(s) in follicular fluid (FF) has been demonstrated in humans and mice. In humans, the chemotactic responsiveness is restricted to capacitated spermatozoa. Here, we investigated whether sperm chemotaxis to factor(s) present in FF also occurs in rabbits and, if so, whether only capacitated spermatozoa are chemotactically responsive. Chemotaxis assays were performed by videomicroscopy in a Zigmond chamber. We measured chemotactic responsiveness as a function of FF dilution by means of a novel directionality-based method that considers the ratio between the distances traveled by the spermatozoa both parallel to the chemoattractant gradient and perpendicular to it. A peak of maximal response was observed at 10(-4) dilution of FF, resulting in a typical chemotactic concentration-dependent curve in which 23% of the spermatozoa were chemotactically responsive. In contrast, the percentage of cells exhibiting FF-dependent enhanced speed of swimming increased with the FF concentration, whereas the percentage of cells maintaining linear motility decreased with the FF concentration. The percentages of chemotactically responsive cells were very similar to those of capacitated spermatozoa. Depletion of the latter by stimulation of the acrosome reaction resulted in a total loss of the chemotactic response, whereas the reappearance of capacitated cells resulted in a recovery of chemotactic responsiveness. We conclude that rabbit spermatozoa, like human spermatozoa, are chemotactically responsive to FF factor(s) and acquire this responsiveness as part of the capacitation process.