Balancing a retroreflector to minimize rotation errors using a pendulum and quadrature interferometer.

A corner-cube retroreflector has the property that the optical path length for a reflected laser beam is insensitive to rotations about a mathematical point called its optical center (OC). This property is exploited in ballistic absolute gravity meters in which a proof mass containing a corner-cube retroreflector is dropped in a vacuum, and its position is accurately determined with a laser interferometer. In order to avoid vertical position errors when the proof mass rotates during free fall, it is important to collocate its center of mass (COM) with the OC of the retroreflector. This is commonly done using a mechanical scale-based balancing procedure, which has limited accuracy due to the difficulty in finding the exact position of the COM and the OC. This paper describes a novel way to achieve the collocation by incorporating the proof mass into a pendulum and using a quadrature interferometer to interrogate its apparent translation in its twist mode. The mismatch between the COM and OC generates a signal in a quiet part of the spectrum where no mechanical resonance exists. This allows us to tune the position of the COM relative to the OC to an accuracy of about 1 µm in all three axes. This provides a way to directly demonstrate that a rotation of the proof mass by several degrees causes an apparent translation in the direction of the laser beam of less than 1 nm. This technique allows an order of magnitude improvement over traditional methods of balancing.

On the intensity distribution function of blazed reflective diffraction gratings.

We derive from first principles the expression for the angular/wavelength distribution of the intensity diffracted by a blazed reflective grating, according to a scalar theory of diffraction. We considered the most common case of a groove profile with rectangular apex. Our derivation correctly identifies the geometric parameters of a blazed reflective grating that determine its diffraction efficiency, and fixes an incorrect but commonly adopted expression in the literature. We compare the predictions of this scalar theory with those resulting from a rigorous vector treatment of diffraction from one-dimensional blazed reflective gratings.

Innervation of the placenta and uterus: competition between cytotrophoblasts and nerves?

In normal pregnancy, invasion of the uterus by trophoblasts is followed by dramatic elimination of the rich uterine innervation present in the non-pregnant state, and by remodeling of maternal spiral arteries. In general, the healthy survival of vascular smooth muscle requires innervation, but whether denervation plays a role in stripping of vascular smooth muscle from spiral arteries in normal pregnancy has not been explored. We propose that the temporal and spatial association of trophoblast invasion with denervation in pregnancy may involve competitive interaction between the invading trophoblast and persisting neurons. We suggest feasible experiments to explore the possible effects of such trophoblast-nerve competition on spiral artery remodeling.

Glia cell line-derived neurotrophic factor regulates the distribution of acetylcholine receptors in mouse primary skeletal muscle cells.

It was recently reported that glia cell line-derived neurotrophic factor (GDNF) facilitates presynaptic axonal growth and neurotransmitter release at neuromuscular synapses. Little is known, however, whether GDNF can also act on the postsynaptic apparatus and its underlying mechanisms. Using biochemical cold blocking of existing membrane acetylcholine receptors (AchRs) and biotinylation of newly inserted receptors we demonstrate that GDNF increases the insertion of AChRs into the surface membrane of mouse primary cultured muscle cells and that this does not require protein synthesis. Quantitative data from double-label imaging indicate that GDNF induces a quick and substantial increase in AchR insertion as well as lateral movement into AchR aggregates, relative to a weak effect on reducing the loss of receptors from pre-existing AchR aggregates, which in contrast to the effect of PMA. These effects occur in both innervated and un-innervated muscles, and GDNF affects nerve-muscle co-cultures more than it affects muscle-only cultures. Neurturin, another member of GDNF-family ligands has similar effects on AchRs as GDNF but the unrelated growth factor, EGF does not. Studies on protein phosphorylation and specific inhibitors of cell signal transduction indicate that GDNF function is mediated by receptor GFRalpha1 and involves MAPK, cAMP/cAMP responsive element-binding factor and Src kinase activities. GDNF may signal through c-Ret as well as NCAM-140 pathways since both the signaling receptors are expressed in the neuromuscular junction (NMJ). These data suggest that GDNF is an autocrine regulator of NMJ to promote the insertion and stabilization of postsynaptic AchRs. In vivo, GDNF may function as a synaptotrophic modulator for both pre- and postsynaptic differentiation to strengthen the functional and structural connections between nerve and muscle, and contribute to the synaptogenesis and plasticity of neuromuscular synapses.

Opposing actions of protein kinase A and C mediate Hebbian synaptic plasticity.

A compartmental nerve-muscle tissue culture system expresses Hebbian activity-dependent synapse modulation. Protein kinase C (PKC) mediates a heterosynaptic loss of efficacy, and we now show that protein kinase A (PKA) is involved in homosynaptic stabilization. Both work through postsynaptic changes in the acetylcholine receptor (AChR) as measured electrophysiologically and by imaging techniques.

Pertussis toxin-sensitive G-protein and protein kinase C activity are involved in normal synapse elimination in the neonatal rat muscle.

Individual skeletal muscle fibers in most new-born rodents are innervated at a single endplate by several motor axons. During the first postnatal weeks, the polyneuronal innervation decreases in a process of synaptic elimination. Previous studies showed that the naturally occurring serine-protease thrombin mediates the activity-dependent synapse reduction at the neuromuscular junction (NMJ) in vitro and that thrombin-receptor activation may modulate nerve terminal consolidation through a protein kinase mechanism. To test whether these mechanisms may be operating in vivo, we applied external thrombin and its inhibitor hirudin, and several substances affecting the G protein-protein kinase C system (GP-PKC) directly over the external surface of the neonatal rat Levator auris longus muscle. Muscles were processed for immunocytochemistry to simultaneously detect acetylcholine receptors (AChRs) and axons for counting the percentage of polyinnervated NMJ. We found that exogenous thrombin accelerated synapse loss and hirudin blocked axonal removal. Phorbol-12-myristate-13-acetate, a potent PKC activator, had a similar effect as thrombin, whereas the PKC inhibitors, calphostin C and staurosporine, prevented axonal removal. Pertussis toxin, an effective blocker of GP function, blocked synapse elimination. These findings suggest that the normal synapse elimination in the neonatal rat muscle may be modulated, at least in part, by the pertussis-sensitive G-protein and PKC activity and that thrombin could play a role in the postnatal synaptic maturation in vivo.

Glial-neurotrophic mechanisms in Down syndrome.

Complex interactions and interconnectivity between neurons are hallmarks of normal neuronal differentiation and development. Neurons also interact with other cell types, notably glia, and rely on substances released by glia for their normal function. A deficit in glial response may disturb this critical neuronal-glial-neuronal interaction in Down syndrome (DS), leading to loss of neurons and other defects of development, and contribute to cognitive limitation and early onset of Alzheimer disease. The hypothesis this paper will discuss is that normal neural development involves an activity-dependent release of substances from neurons, and that these substances act upon glia cells which in turn release substances that influence neurons to promote their survival and development. This glial influence affects cortical neurons and also the subcortical cholinergic neurons that project to the cerebral and hippocampal cortices to maintain cortical neuronal excitability and activity. The neuronal activity stimulates glial secretion of sustaining substances, in a reciprocally interactive cycle. Some aspect of this "virtuous cycle" is deficient in Down syndrome. The result is a small but slowly increasing deficit in activity-dependent support by glia cells which produces a gradually increasing abnormality of cortical and subcortical, perhaps especially cholinergic, function.

Protein kinase C-mediated changes in synaptic efficacy at the neuromuscular junction in vitro: the role of postsynaptic acetylcholine receptors.

Activation of a mouse in vitro neuromuscular synapse produces a reduction in synaptic efficacy which is greater for nonactivated than for activated inputs to the myotubes. This has been shown to require thrombin and thrombin receptor activation and to involve a protein kinase C (PKC)-mediated step. We show in the present work that phorbol ester activation of PKC produces physiological loss of synapses in a time- and dose-related manner. We observe, using quantitative imaging methods, a parallel loss of acetylcholine receptors (AChR) from synaptically functional neurite-associated receptor aggregates in nerve-muscle cocultures. Biochemical measurements of total AChR show that PKC activation reduces both AChR stability (increases receptor loss) and receptor insertion into the surface membrane. Taken together, the data suggest that PKC activation decreases the stability of AChR aggregates in the muscle surface membrane. We conclude that PKC plays a crucial role in activity-dependent synapse reduction and does so, at least in part, by altering AChR stability.

Thrombin action decreases acetylcholine receptor aggregate number and stability in cultured mouse myotubes.

Neurons develop and make very stable, long-term synaptic connections with other nerve cells and with muscle. Synaptic stability at the neuromuscular junction changes over development in that a proliferation of synaptic input are made to individual myotubes and synapses from all but one neuron are lost during development. In an established co-culture paradigm in which spinal motoneurons synaptically contact myotubes, thrombin and associated protease inhibitors have been shown to affect the loss of functional synaptic contacts [6]. Evidence has not been provided which clearly demonstrate whether protease/protease inhibitors affect either the pre- or postsynaptic terminal, or both. In an effort to determine whether these reagents directly affect postsynaptic receptors on myotubes, myotubes were cultured in the absence of neurons and the spontaneous presence and stability of aggregates of acetylcholine receptors (AChR) in control and thrombin-containing media were evaluated. In dishes fixed after treatment and in dishes in which individual aggregates were observed live, thrombin action appeared to increase loss of AChR aggregates over time. Hirudin, a specific inhibitor of the thrombin protease, diminished this loss. Neither reagent affected the overall incorporation or degradation of AChR; therefore, it appears these protease/protease inhibitors affect the state of AChR aggregation.

Intrinsic dynamics in neuronal networks. I. Theory.

Many networks in the mammalian nervous system remain active in the absence of stimuli. This activity falls into two main patterns: steady firing at low rates and rhythmic bursting. How are these firing patterns generated? Specifically, how do dynamic interactions between excitatory and inhibitory neurons produce these firing patterns, and how do networks switch from one firing pattern to the other? We investigated these questions theoretically by examining the intrinsic dynamics of large networks of neurons. Using both a semianalytic model based on mean firing rate dynamics and simulations with large neuronal networks, we found that the dynamics, and thus the firing patterns, are controlled largely by one parameter, the fraction of endogenously active cells. When no endogenously active cells are present, networks are either silent or fire at a high rate; as the number of endogenously active cells increases, there is a transition to bursting; and, with a further increase, there is a second transition to steady firing at a low rate. A secondary role is played by network connectivity, which determines whether activity occurs at a constant mean firing rate or oscillates around that mean. These conclusions require only conventional assumptions: excitatory input to a neuron increases its firing rate, inhibitory input decreases it, and neurons exhibit spike-frequency adaptation. These conclusions also lead to two experimentally testable predictions: 1) isolated networks that fire at low rates must contain endogenously active cells and 2) a reduction in the fraction of endogenously active cells in such networks must lead to bursting.

Intrinsic dynamics in neuronal networks. II. experiment.

Neurons in many regions of the mammalian CNS remain active in the absence of stimuli. This activity falls into two main patterns: steady firing at low rates and rhythmic bursting. How these firing patterns are maintained in the presence of powerful recurrent excitation, and how networks switch between them, is not well understood. In the previous paper, we addressed these issues theoretically; in this paper we address them experimentally. We found in both studies that a key parameter in controlling firing patterns is the fraction of endogenously active cells. The theoretical analysis indicated that steady firing rates are possible only when the fraction of endogenously active cells is above some threshold, that there is a transition to bursting when it falls below that threshold, and that networks becomes silent when the fraction drops to zero. Experimentally, we found that all steadily firing cultures contain endogenously active cells, and that reducing the fraction of such cells in steadily firing cultures causes a transition to bursting. The latter finding implies indirectly that the elimination of endogenously active cells would cause a permanent drop to zero firing rate. The experiments described here thus corroborate the theoretical analysis.

Involvement of calpains in the destabilization of the acetylcholine receptor clusters in rat myotubes.

The effects of calpain inhibitors on the total number of acetylcholine receptors (AChRs) on cultured rat myotubes and on the stability of AChR clusters in these myotubes were investigated. The degradation rate of total AChRs labeled with (125)I-alpha-bungarotoxin was assessed from radioactivity remaining in the myotubes as a function of time. Treatment with calpain inhibitors resulted in a two- to three-fold increase in the half-life of total AChRs. Incubation with these inhibitors produced 40% increases in intracellular AChRs but no major changes in surface AChRs, indicating that the increased AChR half-life is due to intracellular accumulation. The rate loss of AChRs from the clusters was assessed by measuring the loss of fluorescence intensity in rhodaminated-alpha-bungarotoxin-labeled clusters with time. Treatment with calpain inhibitors resulted in twofold increases in cluster half-life. Thus, there was generally no change in total surface receptors with the calpain inhibitors, whereas cluster half-life was substantially increased. Furthermore, with a low dose of calpeptin there was no change in turnover of total cellular AChRs, whereas cluster half-life was doubled. Taken together, these results suggest that the increased half-life of clusters produced by the calpain inhibitors may be due to retardation of the lateral movement from AChRs in the clusters.

Voltage-sensitive calcium currents are acutely increased by nerve growth factor in PC12 cells.

Whole cell calcium currents were recorded from PC12 cells with the perforated patch technique. Currents were evoked by step depolarization from a holding potential of -90 mV. Nerve growth factor (NGF) increased calcium currents through L-type calcium channels by >75% within 3-5 min. This increase was inhibited by K-252a, by nifedipine, and by inhibition or down-regulation of kinase C. Brain-derived neurotrophic factor (BDNF) also increased calcium current, but to a smaller extent. Thus increases in calcium current can be linked to activation of either the high- or the low-affinity nerve growth factor receptor. Increases in presynaptic calcium uptake appear to be a crucial element in the short-term actions of the neurotrophins on neurotransmitter release leading to long-term potentiation. Also, the control of calcium uptake is likely to be an important factor in the long-term actions of the neurotrophins on neuronal survival and neuronal protection. The present data indicate that the PC12 cell may be a useful model for studying the effect of the neurotrophins on calcium uptake.

The thrombin receptor mediates functional activity-dependent neuromuscular synapse reduction via protein kinase C activation in vitro.

Activity-dependent selective reduction of synaptic efficacy is expressed in an in vitro system involving mouse spinal cord and muscle cells. Thrombin or electrical stimulation of the innervating axons induces a decrease in neuromuscular synapse strength, and a specific thrombin inhibitor, hirudin, blocks the electrically evoked down-regulation of synapse effectiveness. We further demonstrate that a thrombin receptor-activating peptide (TRAP), SFLLRNPNDKYEPF, produces a decrement of synapse strength. Both TRAP and electrically evoked synapse decrement are prevented by the specific protein kinase C blocker calphostin C, and the TRAP-evoked synapse decrement is unaffected by a specific protein kinase A blocker, H-89. Thus, we propose that muscle activity, thrombin release, and thrombin receptor and PKC activation are initial steps in the process of the activity-dependent synapse reduction expressed in our system.

Regulation of prothrombin, thrombin receptor, and protease nexin-1 expression during development and after denervation in muscle.

Prothrombin, thrombin receptor (ThR), and protease nexin-1 (PN-1) mRNA levels in mouse muscle were quantified using competitive reverse transcriptase-polymerase chain reaction during development and after denervation to examine the possible role of thrombin in activity-dependent synapse elimination at the neuromuscular junction. The results showed that the levels of prothrombin and ThR were maximal at birth and decreased by two orders of magnitude by postnatal day 20 (P20). The level of PN-1 mRNA was fairly constant during development except for a 4-fold to 5-fold downregulation at P10 and P15, the periods of maximal synapse elimination at the rodent neuromuscular junction. The expression of prothrombin mRNA in muscle at birth was 41-fold and 22-fold lower than those of ThR and PN-1, respectively, and the level of difference between prothrombin and PN-1 reached almost three orders of magnitude at adulthood. Denervation of adult muscle resulted in a reversal of the relative expression levels of the three genes. There were rapid 8-fold and 10-fold increases in prothrombin and ThR mRNA, respectively, and a 2-fold decrease in PN-1 mRNA. The changes in mRNA levels of the three genes after denervation indicated that these genes were regulated in a innervation-dependent manner and that nerve activity may play an important regulatory role in the expression of prothrombin, ThR, and PN-1. The concurrent regulation of prothrombin and ThR suggests that thrombin-mediated cellular activities in muscle may be affected via the activation of ThR. An elevated level of local thrombin or thrombin-like activity might result from the decreased inhibitory activity of PN-1 during the period of peak synapse elimination in muscle development.

Transcriptional regulation of the prothrombin gene in muscle.

Thrombin has been shown to mediate neurite retraction in neurons and synapse elimination at the neuromuscular junction. The presence of prothrombin mRNA has been demonstrated in brain and in muscle, but extra-hepatic regulation of the prothrombin gene has not been investigated. To identify cis-acting DNA elements involved in the expression of the prothrombin gene in muscle, we have isolated and analyzed a 1.3-kilobase pair promoter region of the mouse prothrombin gene. Using a series of transiently transfected plasmid constructs in which gene segments of the prothrombin promoter were linked to the luciferase gene, we have identified a sequence, -302 to -210, essential for prothrombin promoter activity in C2-myotubes. Fine analysis revealed that deletion of nucleotides between -248 and -235 eliminated prothrombin promoter activity in C2-myotubes. Furthermore, electrophoretic mobility shift assays demonstrated that a nuclear factor present in C2-myotubes, but not in C2-myoblasts or HepG2 hepatocytes, specifically binds to the sequence -241 to -225. Substitutional mutation of nucleotides -237 to -231 abolished myotube-specific promoter activity and inhibited the nuclear factor binding. Quantitative reverse transcription polymerase chain reaction demonstrated the expression of prothrombin mRNA in myotubes, but not in myoblasts, of primary, C2, and G8 muscle cells. This result correlates with the lack of prothrombin promoter activity in C2-myoblasts. The data thus suggest that a myotube-specific nuclear factor binds to a cis-acting sequence encompassing the core nucleotides -237 to -231 and plays a critical role in muscle-specific, differentiation-dependent expression of the mouse prothrombin gene.

Cellular localization of ephrin-A2, ephrin-A5, and other functional guidance cues underlies retinotopic development across species.

Avian retinotectal and rodent retinocollicular systems are general model systems used to examine developmental processes that underpin topographically organized neuronal circuits. The two systems rely on guidance components to establish their precise retinotopic maps, but many cellular events differ during their development. For example, compared with the chick, a generally less restricted outgrowth pattern is observed when retinae innervate their targets in rodents. Cellular or molecular distributions of guidance components may account for such differences in retinotopic development across species. Candidate repellent molecules, such as ephrin-A2 and ephrin-A5, have been cloned in both chick and rodents; however, it has not yet been shown in rodents that living cells express sufficient amounts of any repellent components to deter outgrowth. We used a coculture assay that gives cellular resolution of retinotarget interactions and demonstrate that living, caudal superior colliculus cells selectively prevent extension of axons from temporal regions of the retinae. Time-lapse video microscopy revealed the cellular localization of permissive and repulsive guidance components in rodents, which differed from that in chick. To analyze the potential molecular basis for these differences, we investigated the function and localization of ephrin-A2 and -A5. Cells transfected with ephrin-A2 and -A5 selectively repelled retinal axons. Ephrin-A2 and -A5 RNA expression patterns differed across cell populations and between species, suggesting molecular mechanisms and key cellular interactions that may underlie fundamental differences in the development of retinotectal and retinocollicular maps.

Cerebral cortical astroglia from the trisomy 16 mouse, a model for down syndrome, produce neuronal cholinergic deficits in cell culture.

Trisomy 21 (Down syndrome) is associated with a high incidence of Alzheimer disease and with deficits in cholinergic function in humans. We used the trisomy 16 (Ts16) mouse model for Down syndrome to identify the cellular basis for the cholinergic dysfunction. Cholinergic neurons and cerebral cortical astroglia, obtained separately from Ts16 mouse fetuses and their euploid littermates, were cultured in various combinations. Choline acetyltransferase activity and cholinergic neuron number were both depressed in cultures in which both neurons and glia were derived from Ts16 fetuses. Cholinergic function of normal neurons was significantly down-regulated by coculture with Ts16 glia. Conversely, neurons from Ts16 animals could express normal cholinergic function when grown with normal glia. These observations indicate that astroglia may contribute strongly to the abnormal cholinergic function in the mouse Ts16 model for Down syndrome. The Ts16 glia could lack a cholinergic supporting factor present in normal glia or contain a factor that down-regulates cholinergic function.

Cholinergic stimulation increases thrombin activity and gene expression in cultured mouse muscle.

Activity-dependent synapse reduction is a major determinant of neuromuscular innervation. Previous research has shown that nanomolar concentrations of hirudin, a specific thrombin antagonist, significantly attenuates this reduction, and protease nexin 1 (PN1), an endogenous thrombin inhibitor closely localized to the neuromuscular synapse, can inhibit synapse reduction at similar concentrations. Protease inhibitors which do not inhibit thrombin, including cystatin and aprotinin, had no effect on synapse reduction. We present a series of experiments examining whether prothrombin and/or PN1 gene expression, as well as thrombin activity, are regulated in muscle cultures by acetylcholine (ACh) receptor activation. We also studied the effect of exogenous thrombin on synapse elimination in co-cultures of muscle and cholinergic neurons. Cultured muscle cells were electrically blocked with tetrodotoxin (TTX), or co-treated with ACh in order to isolate ACh receptor activation. Electrical blockade resulted in a decrease in thrombin release to about two-thirds of control values. The application of ACh to electrically blocked muscle cultures resulted in a 2.5-fold increase in thrombin activity released into the medium and a 2-fold increase in prothrombin gene expression. In contrast, ACh treatment in the presence of TTX had no effect on PN1 gene expression compared to treatment with TTX alone. In addition, exogenous thrombin significantly increased synapse elimination in unstimulated muscle/cholinergic neuron co-cultures. These results suggest that thrombin or a thrombin-like molecule released from muscle is required for activity-dependent synapse elimination and is regulated by neuromuscular activity.

Modulation of calcium currents by electrical activity.

Electrical activation of mouse dorsal root ganglion (DRG) neurons in cultures for 1-2 days produced a downregulation of voltage sensitive calcium currents, which persisted for > or = 24 h after stimulation was terminated. This regulation varied with different patterns of activation. Both the magnitude and time course of regulation of the low-threshold voltage-activated (LVA) and high-threshold voltage-activated (HVA) currents were differentially sensitive to neural impulse activity. Tonic stimulation at 0.5 Hz did not affect the HVA currents, but 2.5 Hz did produce a significant decrease. Phasic stimulation (10 Hz for 0.5 s every 2 s) with an average frequency of 2.5 Hz produced significantly more downregulation of HVA currents than did the tonic 2.5-Hz stimulation. The efficacy of phasic stimulation varied inversely with the interval between bursts. Thus phasic stimulation of 10 Hz for 0.5 s but delivered every 4 s produced no effects on HVA currents. Stimulation optimal for downregulation of Ca2+ currents also produced a decreased binding by the DRG neurons of an L-type Ca2+ channel antagonist. This suggests a downregulation by electrical activity of the number of Ca2+ channels, rather than an alteration in a constant number of channels. Depression of LVA currents was produced by all stimulus patterns tested, including 0.5-Hz tonic stimulation. Chronic stimulation with a stimulation pattern that downregulated Ca2+ currents also produced a slowing of the increase in intracellular Ca2+ (as measured by Fura-2/AM) that is produced acutely by repetitive stimulation. This is consonant with earlier studies of intracellular Ca2+ concentration kinetics in growth cones.