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Motor neurons are a remarkably powerful cell type in the central nervous system. They innervate and control the contraction of virtually every muscle in the body and their dysfunction underlies numerous neuromuscular diseases. Some motor neurons seem resistant to degeneration whereas others are vulnerable. The intrinsic heterogeneity of motor neurons in adult organisms has remained elusive. The development of high-throughput single-cell transcriptomics has changed the paradigm, empowering rapid isolation and profiling of motor neuron nuclei, revealing remarkable transcriptional diversity within the skeletal and autonomic nervous systems. Here, we discuss emerging technologies for defining motor neuron heterogeneity in the adult motor system as well as implications for disease and spinal cord injury. We establish a roadmap for future applications of emerging techniques - such as epigenetic profiling, spatial RNA sequencing, and single-cell somatic mutational profiling to adult motor neurons, which will revolutionize our understanding of the healthy and degenerating adult motor system.

We performed single-nucleus RNA-sequencing on adult human spinal cord using a neuronal nuclei enrichment strategy. We obtained transcriptomic profiles of >14,000 spinal neurons, including a small population of motor neurons that shares similarities with mouse motor neurons and can be subdivided into alpha and gamma subtypes. We sought to compare our results to those from a recent study by Yadav and colleagues, which provides a single-nucleus transcriptomic atlas of the human spinal cord. While most neuronal nuclei from both studies share similar features, our results from motor neurons differ substantially. We reanalyzed their RNA-sequencing data and provide evidence that the authors incorrectly identified cholinergic cellular debris as motor neuron nuclei in their dataset, raising doubts about their conclusions regarding motor neurons. Our findings underscore the challenges associated with transcriptionally profiling motor neurons from the spinal cord because of their rarity. We propose specific enrichment strategies and recommend important quality control measures for future transcriptional profiling studies involving human spinal cord tissue and rare cell types.

Positively charged repeat peptides are emerging as key players in neurodegenerative diseases. These peptides can perturb diverse cellular pathways but a unifying framework for how such promiscuous toxicity arises has remained elusive. We used mass-spectrometry-based proteomics to define the protein targets of these neurotoxic peptides and found that they all share similar sequence features that drive their aberrant condensation with these positively charged peptides. We trained a machine learning algorithm to detect such sequence features and unexpectedly discovered that this mode of toxicity is not limited to human repeat expansion disorders but has evolved countless times across the tree of life in the form of cationic antimicrobial and venom peptides. We demonstrate that an excess in positive charge is necessary and sufficient for this killer activity, which we name ‘polycation poisoning’. These findings reveal an ancient and conserved mechanism and inform ways to leverage its design rules for new generations of bioactive peptides.

Astrocytes regulate the response of the central nervous system to disease and injury and have been hypothesized to actively kill neurons in neurodegenerative disease1–6. Here we report an approach to isolate one component of the long-sought astrocyte-derived toxic factor5,6. Notably, instead of a protein, saturated lipids contained in APOE and APOJ lipoparticles mediate astrocyte-induced toxicity. Eliminating the formation of long-chain saturated lipids by astrocyte-specific knockout of the saturated lipid synthesis enzyme ELOVL1 mitigates astrocyte-mediated toxicity in vitro as well as in a model of acute axonal injury in vivo. These results suggest a mechanism by which astrocytes kill cells in the central nervous system. Astrocytes can respond to diseases and injuries of the central nervous system by driving the death of neurons and mature oligodendrocytes through the delivery of long-chain saturated fatty acids contained in lipoparticles.

The spinal cord is a fascinating structure that is responsible for coordinating movement in vertebrates. Spinal motor neurons control muscle activity by transmitting signals from the spinal cord to diverse peripheral targets. In this study, we profiled 43,890 single-nucleus transcriptomes from the adult mouse spinal cord using fluorescence-activated nuclei sorting to enrich for motor neuron nuclei. We identified 16 sympathetic motor neuron clusters, which are distinguishable by spatial localization and expression of neuromodulatory signaling genes. We found surprising skeletal motor neuron heterogeneity in the adult spinal cord, including transcriptional differences that correlate with electrophysiologically and spatially distinct motor pools. We also provide evidence for a novel transcriptional subpopulation of skeletal motor neuron (γ*). Collectively, these data provide a single-cell transcriptional atlas ( http://spinalcordatlas.org ) for investigating the organizing molecular logic of adult motor neuron diversity, as well as the cellular and molecular basis of motor neuron function in health and disease. Blum et al. performed single-nucleus RNA sequencing of the adult mouse spinal cord. This analysis revealed heterogeneity in the autonomic and skeletal motor systems and provides a resource to study motor neurons in health and disease.

SummaryAntisense oligonucleotide therapy targeting ATXN2—a gene in which mutations cause neurodegenerative diseases spinocerebellar ataxia type 2 and amyotrophic lateral sclerosis—has entered clinical trials in humans. Additional methods to lower ataxin-2 levels would be beneficial not only in uncovering potentially cheaper or less invasive therapies, but also in gaining greater mechanistic insight into how ataxin-2 is normally regulated. We performed a genome-wide fluorescence activated cell sorting (FACS)-based CRISPR screen in human cells and identified multiple subunits of the lysosomal vacuolar ATPase (v-ATPase) as regulators of ataxin-2 levels. We demonstrate that Etidronate—a U.S. Food and Drug Administration (FDA)-approved drug that inhibits the v-ATPase—lowers ataxin-2 protein levels in mouse and human neurons. Moreover, oral administration of the drug to mice in their water supply and food is sufficient to lower ataxin-2 levels in the brain. Thus, we uncover Etidronate as a safe and inexpensive compound for lowering ataxin-2 levels and demonstrate the utility of FACS-based screens for identifying targets to modulate levels of human disease proteins.

Mutations in the ataxin-2 gene (ATXN2) cause the neurodegenerative disorders amyotrophic lateral sclerosis (ALS) and spinocerebellar ataxia type 2 (SCA2). A therapeutic strategy using antisense oligonucleotides targeting ATXN2 has entered clinical trial in humans. Additional ways to decrease ataxin-2 levels could lead to cheaper or less invasive therapies and elucidate how ataxin-2 is normally regulated. Here, we perform a genome-wide fluorescence-activated cell sorting (FACS)-based CRISPR-Cas9 screen in human cells and identify genes encoding components of the lysosomal vacuolar ATPase (v-ATPase) as modifiers of endogenous ataxin-2 protein levels. Multiple FDA-approved small molecule v-ATPase inhibitors lower ataxin-2 protein levels in mouse and human neurons, and oral administration of at least one of these drugs-etidronate-is sufficient to decrease ataxin-2 in the brains of mice. Together, we propose v-ATPase as a drug target for ALS and SCA2 and demonstrate the value of FACS-based screens in identifying genetic-and potentially druggable-modifiers of human disease proteins.

The most common genetic cause of amyotrophic lateral sclerosis (ALS) and frontotemporal dementia (FTD) is a GGGGCC repeat expansion in the C9orf72 gene. We developed a platform to interrogate the chromatin accessibility landscape and transcriptional program within neurons during degeneration. We provide evidence that neurons expressing the dipeptide repeat protein poly(proline-arginine), translated from the C9orf72 repeat expansion, activate a highly specific transcriptional program, exemplified by a single transcription factor, p53. Ablating p53 in mice completely rescued neurons from degeneration and markedly increased survival in a C9orf72 mouse model. p53 reduction also rescued axonal degeneration caused by poly(glycine-arginine), increased survival of C9orf72 ALS/FTD-patient-induced pluripotent stem cell (iPSC)-derived motor neurons, and mitigated neurodegeneration in a C9orf72 fly model. We show that p53 activates a downstream transcriptional program, including Puma, which drives neurodegeneration. These data demonstrate a neurodegenerative mechanism dynamically regulated through transcription-factor-binding events and provide a framework to apply chromatin accessibility and transcription program profiles to neurodegeneration.

Astrocytes regulate the response of the central nervous system to disease and injury and have been hypothesized to actively kill neurons in neurodegenerative disease

The spinal cord is a fascinating structure responsible for coordinating all movement in vertebrates. Spinal motor neurons control the activity of virtually every organ and muscle throughout the body by transmitting signals that originate in the spinal cord. These neurons are remarkably heterogeneous in their activity and innervation targets. However, because motor neurons represent only a small fraction of cells within the spinal cord and are difficult to isolate, the full complement of motor neuron subtypes remains unknown. Here we comprehensively describe the molecular heterogeneity of motor neurons within the adult spinal cord. We profiled 43,890 single-nucleus transcriptomes using fluorescence-activated nuclei sorting to enrich for spinal motor neuron nuclei. These data reveal a transcriptional map of the adult mammalian spinal cord and the first unbiased characterization of all transcriptionally distinct autonomic and somatic spinal motor neuron subpopulations. We identify 16 sympathetic motor neuron subtypes that segregate spatially along the spinal cord. Many of these subtypes selectively express specific hormones and receptors, suggesting neuromodulatory signaling within the autonomic nervous system. We describe skeletal motor neuron heterogeneity in the adult spinal cord, revealing numerous novel markers that distinguish alpha and gamma motor neurons—cell populations that are specifically affected in neurodegenerative disease. We also provide evidence for a novel transcriptional subpopulation of skeletal motor neurons. Collectively, these data provide a single-cell transcriptional atlas for investigating motor neuron diversity as well as the cellular and molecular basis of motor neuron function in health and disease.

Microglia are the resident macrophages of the CNS. Though they are best known for their traditional macrophage activities, such as the phagocytosis of cell debris and inflammatory responses after injury, microglia also play an integral role in the normal development of the brain and spinal cord. For

Crosses between Drosophila melanogaster females and Drosophila simulans males produce hybrid sons that die at the larval stage. This hybrid lethality is suppressed by loss-of-function mutations in the D. melanogaster Hybrid male rescue (Hmr) or in the D. simulans Lethal hybrid rescue (Lhr) genes. Previous studies have shown that Hmr and Lhr interact with heterochromatin proteins and suppress expression of transposable elements within D. melanogaster. It also has been proposed that Hmr and Lhr function at the centromere. We examined mitotic divisions in larval brains from Hmr and Lhr single mutants and Hmr; Lhr double mutants in D. melanogaster. In none of the mutants did we observe defects in metaphase chromosome alignment or hyperploid cells, which are hallmarks of centromere or kinetochore dysfunction. In addition, we found that Hmr-HA and Lhr-HA do not colocalize with centromeres either during interphase or mitotic division. However, all mutants displayed anaphase bridges and chromosome aberrations resulting from the breakage of these bridges, predominantly at the euchromatin–heterochromatin junction. The few dividing cells present in hybrid males showed fuzzy and irregularly condensed chromosomes with unresolved sister chromatids. Despite this defect in condensation, chromosomes in hybrids managed to align on the metaphase plate and undergo anaphase. We conclude that there is no evidence for a centromeric function of Hmr and Lhr within D. melanogaster nor for a centromere defect causing hybrid lethality. Instead, we find that Hmr and Lhr are required in D. melanogaster for detachment of sister chromatids during anaphase.

Crosses betweenDrosophila melanogasterfemales andDrosophila simulansmales produce hybrid sons that die at the larval stage. This hybrid lethality is suppressed by loss-of-function mutations in theD. melanogaster Hybrid male rescue(Hmr) or in theD. simulans Lethal hybrid rescue(Lhr)genes. Previous studies have shown that Hmr and Lhr interact with heterochromatin proteins and suppress expression of transposable elements withinD. melanogaster. It also has been proposed that Hmr and Lhr function at the centromere. We examined mitotic divisions in larval brains fromHmrandLhrsingle mutants andHmr; Lhrdouble mutants inD. melanogaster. In none of the mutants did we observe defects in metaphase chromosome alignment or hyperploid cells, which are hallmarks of centromere or kinetochore dysfunction. In addition, we found that Hmr-HA and Lhr-HA do not localize to centromeres either during interphase or mitotic division. However, all mutants displayed anaphase bridges and chromosome aberrations resulting from the breakage of these bridges, predominantly at the euchromatin-heterochromatin junction. The few dividing cells present in hybrid males showed irregularly condensed chromosomes with fuzzy and often closely apposed sister chromatids. Despite this defect in condensation, chromosomes in hybrids managed to align on the metaphase plate and undergo anaphase. We conclude that there is no evidence for a centromeric function of Hmr and Lhr withinD. melanogasternor for a centromere defect causing hybrid lethality. Instead we find thatHmrandLhrare required inD. melanogasterfor detachment of sister chromatids during anaphase.

Crosses between Drosophila melanogaster females and Drosophila simulans males produce hybrid sons that die at the larval stage. This hybrid lethality is suppressed by loss-of-function mutations in the D. melanogaster Hybrid male rescue (Hmr) or in the D. simulans Lethal hybrid rescue (Lhr) genes. Previous studies have shown that Hmr and Lhr interact with heterochromatin proteins and suppress expression of transposable elements within D. melanogaster. It also has been proposed that Hmr and Lhr function at the centromere. We examined mitotic divisions in larval brains from Hmr and Lhr single mutants and Hmr; Lhr double mutants in D. melanogaster. In none of the mutants did we observe defects in metaphase chromosome alignment or hyperploid cells, which are hallmarks of centromere or kinetochore dysfunction. In addition, we found that Hmr-HA and Lhr-HA do not colocalize with centromeres either during interphase or mitotic division. However, all mutants displayed anaphase bridges and chromosome aberrations resulting from the breakage of these bridges, predominantly at the euchromatin–heterochromatin junction. The few dividing cells present in hybrid males showed fuzzy and irregularly condensed chromosomes with unresolved sister chromatids. Despite this defect in condensation, chromosomes in hybrids managed to align on the metaphase plate and undergo anaphase. We conclude that there is no evidence for a centromeric function of Hmr and Lhr within D. melanogaster nor for a centromere defect causing hybrid lethality. Instead, we find that Hmr and Lhr are required in D. melanogaster for detachment of sister chromatids during anaphase.

Our experience over many years from 2 diabetes clinics with large patient populations indicated that, apparently, excessive doses of intermediate-acting insulin preparations (150-300 U of NPH insulin), alone or in combination with rapid-acting insulin, generally did not result in acceptable control of fasting blood glucose. We hypothesized that insulin resistance at the tissue level and the known variability of insulin absorption were not satisfactory explanations. To deal with the ambiguities of available data on insulin absorption, we elected to measure insulin bioavailability via a different approach. Thirteen publications provided plasma insulin concentrations after the subcutaneous administration of defined doses of insulin. These data were then analyzed by noncompartmental analysis and by standard pharmacokinetic methods. Analyses required only knowledge of the areas under the plasma insulin curve and the metabolic clearance rate of insulin. Both of these are parameters measurable with considerable accuracy. Quantitative pharmacokinetic analysis of published insulin absorption curves for insulin administered subcutaneously revealed mean absorption levels for regular and lispro insulin of 70 to 80%, 30% or less for NPH insulin, and 30 to 40% for lente insulin. In conclusion, poor absorption of intermediate-acting insulin preparations, or combinations of intermediate- and rapid-acting insulin preparations, explains the difficulty in lowering blood glucose in patients with type 2 diabetes mellitus who have had long-standing disease, are insulin resistant, and have a flat insulin response to a glucose load.

In a previous paper (Reed and Blum, 1999), we examined the connectional hypotheses put forward by Markovitz and Pollak (1994) to explain the steady-state behavior of cells in the dorsal nucleus of the lateral lemniscus (DNLL). We found that the steady-state outputs of the four major binaural types of cells found in the DNLL (EI, EI/F, EE/I, and EE/FI) could be accounted for by known connectional patterns using only one or two cells per nucleus and quite simple hypotheses on cell behavior. In this study, we examine the time course of DNLL outputs in response to constant, ongoing, monaural or binaural sounds of various intensities. The model auditory nerve fibers ramp up linearly (usually in 2 ms) to full firing and the anteroventral cochlear nucleus cells have primary-like discharge patterns. Fixed time delays of 1 ms at each synapse are included; other time delays are employed when necessary to understand and reproduce specific features of the experimental data. We find that the connectional patterns utilized in our previous study can account for the rich variety of temporal response patterns found experimentally in the DNLL. Our main findings are: (1) all of the four major binaural types of cells can arise from modifications of the basic connectional pattern that produces EI cells; (2) both excitation and inhibition from the ipsilateral lateral superior olive (LSO) are required to understand DNLL responses; (3) pauser behavior can arise either from time delayed inhibition from a DNLL interneuron or by projection from the LSO; (4) two different mechanisms can account for the ipsilaterally evoked onset response; (5) to explain completely the temporal discharge pattern and binaural interactions of EE/FI cells, a projection from the contralateral DNLL via the commissure of Probst is necessary.

Several studies have been performed in which both the time-dependent and steady state output of cells in the dorsal nucleus of the lateral lemniscus (DNLL) have been measured in response to binaural sound stimulation. In this paper, a mathematical and computational model for the steady state output of DNLL cells is formulated. The model includes ascending connections from both lateral and medial superior olives (LSO and MSO) as well connections from interneurons in the DNLL and connections from the contralateral DNLL through the commissure of Probst. Our intent is to understand how the steady state behavior arises from the cell properties in and connectional patterns from lower brainstem nuclei. In particular, we examine the connectional hypotheses put forward by Markovitz and Pollak (1994) to explain the observed behavior of EI, EI/F, EE/I and EE/FI cells. Using these connections (with minor modifications) and cells with simple input-output relations, we are able to account for the steady state behavior of these cell types. We are able to explain interesting features of the data not commented on before, for example, the initial dip in spike output for EE cells at low ipsilateral sound levels. The presence of an inhibitory interneuron in the DNLL is essential for facilitation. In addition, we examine the effects of the MSO and the commissure of Probst on DNLL output. Furthermore, we propose a simple mechanism by which the cells of the DNLL and LSO could create a topographic place map in the inferior colliculus.

In two previous papers [Reed and Blum, J. Acoust. Soc. Am. 97, 425-438 (1995), Blum et al., J. Acoust. Soc. Am. 98, 181-191 (1995)] a computational model for signal processing in the dorsal cochlear nucleus (DCN) was developed. In those modelling studies, stellate cells inhibited only type II cells. In this study, the effect of including wide-band inhibitory (WBI) connections from stellate cells to type IV cells, as proposed by Nelken and Young [J. Neurophysiol. 71, 2446-2462 (1994)], is examined. Inclusion of the WBI connections improves the fit to the experimental pure tone response maps for both the "standard" and "non-standard" cells examined by Spirou and Young [J. Neurophysiol. 66, 1750-1768 (1991)]. Thus, these modelling studies support the hypothesis of Nelken and Young [J. Neurophysiol. 71, 2446-2462 (1994)]. The degree of improvement is greatest for cells with prominent upper inhibitory sidebands. The qualitative features of the pure tone response map and the theoretical model allow one to deduce the probable frequency bias of the type II to type IV and stellate to type IV connections.

Human P2X2 receptors (hP2X2) are strongly inhibited by zinc over the range of 2–100 μm, whereas rat P2X2 receptors (rP2X2) are strongly potentiated over the same range, and then inhibited by zinc over 100 μm. However, the biological role of zinc modulation is unknown in either species. To identify candidate regions controlling zinc inhibition in hP2X2 a homology model based on the crystal structure of zebrafish P2X4.1 was made. In this model, His-204 and His-209 of one subunit were near His-330 of the adjacent subunit. Cross-linking studies confirmed that these residues are within 8 Å of each other. Simultaneous mutation of these three histidines to alanines decreased the zinc potency of hP2X2 nearly 100-fold. In rP2X2, one of these histidines is replaced by a lysine, and in a background in which zinc potentiation was eliminated, mutation of Lys-197 to histidine converted rP2X2 from low potency to high potency inhibition. We explored whether the zinc-binding site lies within the vestibules running down the central axis of the receptor. Elimination of all negatively charged residues from the upper vestibule had no effect on zinc inhibition. In contrast, mutation of several residues in the hP2X2 middle vestibule resulted in dramatic changes in the potency of zinc inhibition. In particular, the zinc potency of P206C could be reversibly shifted from extremely high (∼10 nm) to very low (>100 μm) by binding and unbinding MTSET. These results suggest that the cluster of histidines at the subunit interface controls access of zinc to its binding site.

A structural model is proposed for the processing of interaural intensity differences by the lateral superior olive. One fundamental assumption is that the incoming excitatory projections from the ipsilateral anteroventral cochlear nucleus innervate columns of LSO neurons serially according to threshold. A second fundamental assumption is that the inhibitory innervation from the ipsilateral medial nucleus of the trapezoid body is also serially arranged according to threshold but in the opposite direction along the LSO column. Using neurophysiological and neuroanatomical data for neuronal response curves, connectional patterns, and cell and synapse numbers, the model was formulated quantitatively and implemented for machine computation. Azimuthal location is encoded by the position along the LSO column where LSO cell firing first goes to zero. Accuracy of coding was tested for three different connectional schemes, for variations in neuronal parameters, and for cell and synapse death. Encoding is shown to be independent of absolute sound level and to vary linearly with interaural intensity difference.

Leishmania major promastigotes grown in late log phase were incubated with glucose as sole exogenous carbon source in the presence of 5% CO2 and the amounts of glucose consumed and of the major products formed — succinate, pyruvate, alanine, acetate, glycerol, and d-lactate — were measured as a function of pO2. Glucose consumption increased as pO2 was lowered to 6% (a positive Pasteur effect) and then declined to the same level at 95% N2 as at 95% O2. The production of d-lactate and of glycerol increased as pO2 dropped from 95%, reaching a maximum at about 2% O2. Succinate production, however, increased dramatically when pO2 was reduced to 6% and remained at that level with further reduction of pO2. The amount of succinate produced relative to the amount of glucose carbon consumed suggests utilization of an endogenous carbon source. Acetate production did not change between 95% O2 and 6% O2 and then declined with decreasing pO2. These observations suggest the presence of two sensors, one with a high and one with a low affinity for oxygen. When glycerol or alanine were the only exogenous sources of carbon, the primary products released were acetate and succinate. Acetate production from alanine declined slightly as pO2 was reduced to 2%, and then dropped markedly when pO2 was reduced to 0%. Acetate production from glycerol increased over 4-fold when the pO2 was reduced from 95% to 4%, and then declined with further reduction in pO2. No succinate was formed from either substrate until complete anaerobiosis. This pattern of response, while differing from that when glucose was sole exogenous carbon source, is also consistent with the regulation of metabolism by a high and a low affinity O2 sensor. Cells from cultures in early stationary phase, before the appearance of metacyclic forms, consumed glucose at about the same rate as log phase promastigotes, but did not show a Pasteur effect. Stationary cells also consumed glycerol at the same rate as did log phase promastigotes, but consumed alanine at a much lower rate. Reduction of pO2 affected product formation from each of these substrates differently than for log phase promastigotes, demonstrating the sensitivity of several pathways of intermediary metabolism to regulation by pO2 during the transition from log to stationary phase.

Linear reaction-hyperbolic equations of a general type arising in certain physiological problems do not have traveling wave solutions, but numerical computations have shown that they possess approximate traveling waves. Using singular perturbation theory, it is shown that as the rates of the chemical reactions approach $\infty $, solutions approach traveling waves. The speed of the limiting wave and the first term in the asymptotic expansion are computed in terms of the underlying chemical mechanisms.

In a previous modeling study of signal processing in the dorsal cochlear nucleus [Reed and Blum, J. Acoust. Soc. Am 96, 1442-1453 (1997)] it was shown that inclusion of a wideband inhibitor (WBI) greatly improved the fit between model response maps and the experimental response maps of type IV units to pure tones. In this study we examine the effect of the WBI on the responses to complex sound stimuli such as broadband noise (BBN), notch noise, noise bands, and band/notch combinations. A new and more realistic model for auditory nerve (AN) response in the presence of different levels of noise is used. It is shown that one can explain and understand the qualitative features of virtually all the published data on type II and type IV unit responses to BBN, notch noise and noise bands. The monotone decreasing response of the maximum firing rate of type II units to noise bands of increasing width that is observed experimentally occurs in the model due to the increasing inhibition of type II cells by the WBI. Similarly, the various nonmonotone patterns of maximum firing rate of type IV units to noise bands of increasing width is shown to arise from the complex and highly nonlinear effects of inhibition from the type II to type IV and the WBI to type IV cells and the nonlinear direct excitation from the AN to the type IV cells. A number of experiments using double notches, double noise bands, or notch-noise band pairs are suggested which, by comparison with model results, would allow one to infer probable connectional patterns between type II and type IV units and between the WBI units and the type IV units.

In a previous paper a computational model was developed which was shown to account for most of the essential features of the variety of experimentally observed response maps of type‐IV cells in the dorsal cochlear nucleus to pure tones. In the present study, the responses of the same model DCN to broadband noise and notch noise are investigated. It is shown that the previous model qualitatively accounts for the observed responses to these more complex sounds. Predictions of the model for inverted notches and for the behavior of type‐IV cell output as notch center is varied for different amplitudes are presented. It is shown that the model is suitable for feature detection of auditory signals and an expansion is given as to how this ability arises from the properties of the stellate, type‐II, and type‐IV cells and the variations in the connectional patterns that were previously shown to account for the response patterns of type‐IV cells to pure tones.

Much information is available on the anatomical organization and neurophysiological properties of the major cell types in the dorsal cochlear nucleus (DCN). The complicated response properties of individual cells and units in the DCN indicate that substantial information processing already occurs at the level of the DCN. A large number of connectional hypotheses have been put forward to explain various aspects of the response characteristics of DCN cells, but many of the consequences of these hypotheses have not been investigated quantitatively. In this paper, we investigate these hypotheses by constructing and testing mathematical and computational models and compare our results to those of previous modeling studies. The simplest versions of our models include auditory nerve (AN) fibers, type II cells (inhibitory interneurons) and type IV cells (fusiform and giant cells). The model response maps, i.e., the pattern of output of model type IV cells, generated by the simplest model have some but not all the features of the experimental response maps of type IV neurons. In particular, the excitatory region which occurs at best frequency is not isolated and the excitatory region at low frequencies and high amplitude is narrower than observed. Since experimental evidence exists that some of the connections between these cell types are divergent or convergent across adjacent isofrequency sheets, the effect of such convergence and divergence was then investigated. Response maps so obtained reproduce many of the qualitative features of the experimental maps. Enlargement of the model by including inhibitory interneurons (e.g., stellate cells) that receive convergent input from AN fibers and which inhibit type II cells results in the generation of response maps that, with some variations in connectional patterns and physiological properties of neurons, match most of the essential features seen in the large variety of experimental maps obtained from the cat DCN.

We modify our previous mathematical model of axonal transport to analyze data on the fast transport of lipids in rat sciatic nerve given in Toews et al. (J. Neurochem. 40, 555–562 (1983)). The theoretical model accounts well for the shapes of the profiles of phosphatidylcholine, phosphatidylethanolamine, cholesterol and diphosphatidylglycerol. The parameters obtained support the qualitative conclusions of Toews et al. and provide quantitative estimates of the underlying processes e.g., rates of vesicle and mitochondria translocation, rate constants for association and dissociation between vesicles, kinesin and microtubules, rates of deposition and rates of loss of each class of lipid from the nerve by leakage or via removal by the retrograde transport system. The analysis suggests that two classes of vesicles moving at different speeds may be involved in the transport of phosphatidylcholine and phosphatidylethanolamine.

A number of investigators have published measurements of the outputs of single neurons from the lateral superior olive (LSO) of the cat for a variety of auditory signals. The response curves show a very wide range of shapes and thresholds. In this paper, the single neuron response curves predicted by a previously published model for the encoding of azimuthal location by the LSO to the experimental curves are compared. The predicted curves are in good qualitative agreement with the experiments and, in addition, the model provides an explanation of the seemingly paradoxical drop in output as interaural intensity difference (IID) is held fixed and absolute intensities are raised. The particular shape of the response curve depends on the location of the LSO neuron examined. In the model, two possible developmental programs to form the adult pattern of connections from the anteroventral cochlear nucleus and the medial nucleus of the trapezoid body onto the LSO are also examined. In the first, connections are made by a forward stochastic process in which there is a limit on the numbers of synapses formed on each LSO cell. In the second, there is no such limit, but in later developmental stages pruning of synapses occurs which reduces their number to the limit. Both schemes give similar adult connectional patterns. The LSO response curves generated by the model are similar to those observed in LSO neurons of the developing gerbil by Sanes and Rubel [J. Neurosci. 8, 682–700 (1988)]. Thus the model mechanism not only encodes azimuthal location by activity across the population of neurons, but is also consistent with single unit neurophysiological measurements of LSO output in both developing and adult animals.

So-called futile cycles in cellular metabolism consist of paired opposing reactions that, if simultaneously operant, act only to degrade free energy of ATP to heat. Previous considerations of the behavior of such substrate cycles have indicated their possible usefulness in regulating flux along metabolic pathways, but such analyses have treated the cycles in isolation, i.e. without taking into account the effects of enzymatic inputs to and outputs from the cycle. We here develop models of three typical substrate cycles that include enzymatic inputs to and outputs from the cycle and allow the enzymes of the cycles per se to be subject to a variety of allosteric modulations. The non-linear equations which describe these models were solved by an iterative procedure for sets of parameter values of metabolic interest. The results, when analyzed using appropriate definitions of regulatory sensitivity and energetic futility, demonstrate that the effects of the enzymes leading into and out of the cycle may cause profound changes in the operation of the substrate cycle and therefore may not be ignored. We find that the structural differences among the three cycles considered here result in corresponding functional differences. Our results suggest that (1) the fructose-6-P/fructose-1,6-di-P cycle acts effectively to gate bidirectional flux, but doesn't appreciably enhance regulation of unidirectional flux, (2) the glucose/glucose-6-P cycle is well suited to perform a homeostatic function and to adjust the set points for these two metabolites, and (3) the cycle at the pyruvate crossroads functions largely as a complex switch box that directs metabolic flow towards gluconeogenesis or glycolysis not only in response to inputs of or requirements for oxaloacetate, pyruvate, and phosphoenolpyruvate, but also in response to the combined action of allosteric modulators on the individual enzymes of this substrate cycle.

The compartmentalization of acetyl-CoA metabolism in Tetrahymena has been studied by measuring the incorporation of label from [1-14C]acetate, [2-14C]pyruvate, and [1-14C]-octanoate into CO2, lipids, glycogen, and glutamate in experiments in which these substrates were used singly, in pairs, and all together. The results of these studies require that there be at least three pools of acetyl-CoA in Tetrahymena, two in the mitochondria and one in the peroxisomes. A steady state model was developed which allows a quantitative analysis of the metabolic fate of acetyl-CoA derived from acetate, pyruvate, and octanoate. The model shows that pyruvate enters a different mitochondrial pool of acetyl-CoA than acetate or octanoate, which accounts for the relatively high proportion of [2-14C]pyruvate label incorporated into glycogen. About three-fourths of the acetate utilization occurs in the mitochondria, the remainder via the peroxisomal pool of acetyl-CoA for lipogenesis. Only part of the octanoate utilization is accounted for by β oxidation in the peroxisomes; a pathway is also required allowing the incorporation of label from octanoate into lipids without prior oxidation to acetyl-CoA. Labeled acetyl-CoA used for glyconeogenesis comes from both the peroxisomal and the outer mitochondrial pools of acetyl-CoA, more of it coming from the former. The experiments were performed on well aerated cultures in both the logarithmic and transitional phases of growth. Differences in metabolic flux patterns between cells at these two stages of growth are small; lipogenesis was decreased and glutamate output and pyruvate utilization were increased in transition as compared to log cultures.

Interactive effects between calmodulin activation of 30 S dynein ATPase activity and activation by heat or N -ethylmaleimide (NEM) have been studied. Addition of calmodulin during the heat treatment caused a larger increment in ATPase activity (above that caused by heating alone) than did addition of calmodulin after the heat treatment. Similar results were obtained in experiments where activation was caused by NEM treatment. For both the heat and NEM treatments, the synergistic effect of calmodulin when present during the treatment was Ca 2+ dependent although activation of ATPase activity by either treatment alone was not Ca 2+ dependent. Heating 14 S dynein inhibited its ATPase activity and reduced the effectiveness of calmodulin as an activator. The activating effect of calmodulin added after heat or NEM treatments was about the same as if the calmodulin was present during the treatment, i.e., interactive effects were minimal. Concentrations of NEM that had little effect on the ATPase activity of 14 S dynein largely eliminated the ability of calmodulin to activate its ATPase activity. Chromatography of the heat-treated 14 S dynein on calmodulin-Sepharose 4B indicated that the loss of sensitivity of 14 S dynein ATPase to calmodulin was not due to loss of ability of the dynein to bind to calmodulin. Retention of calmodulin binding ability was also shown for heat-treated 30 S dynein. These results suggest that calmodulin and heat/NEM activate solubilized 30 S dynein ATPase by separate mechanisms which may include a common process.

Murase & Shimizu (1986, J. theor. Biol. 119 , 409) introduced an excitable dyneinmicrotubule system based on a three-state mechanochemical cycle of dynein to demonstrate bend propagation in the absence of a curvature control mechanism. To examine the essential behavior of this class of models in a viscous fluid, we have represented the force generated by the complex dynein mechanochemistry by a formal model consisting of “force” and “activation” functions vs. sliding distance. Since the model has excitable properties with threshold phenomena and hysteresis switching between two opposed subsystems, it closely resembles the more realistic dynein kinetic scheme in its overall properties but is specified by fewer parameters. This model displays both bend initiation and bend propagation when the filaments at the basal end are either fixed or free to slide. A passive region is necessary at one end of the axoneme in order to obtain stable wave propagation; bends propagate towards the end with the passive region. Stable bend propagation is highly sensitive to small perturbations in external force distribution.

The antipsychotic drugs chlorpromazine, pimozide, and penfluridol caused a 50% inhibition of growth of Tetrahymena at concentrations of 4.5, 5.5, and 1.5 microM, respectively. The degree of growth inhibition was dependent on the concentration of cells; higher drug concentrations were needed to produce inhibition of denser cell cultures. Binding studies with penfluridol showed that 50% growth inhibition resulted when approximately 50 mumoles of drug were bound per 10(6) cells. A 20-min preincubation of cells with chlorpromazine (14.7 microM) inhibited DNA synthesis by 46%, and with penfluridol (4 microM) DNA synthesis was inhibited by 27%. The incorporation of labeled thymidine into the thymidine triphosphate pool was inhibited by chlorpromazine but not by penfluridol, indicating that the drugs produce their growth inhibitory effects by different mechanisms. TDP kinase activity was demonstrated in a particle-free fraction of the cells. Its enzymatic activity was not affected by added chlorpromazine, penfluridol, or calmodulin, suggesting that inhibition of DNA synthesis by these drugs may be a consequence of growth inhibition.

Extraction of demembranated cilia of Tetrahymena by Tris-EDTA (denoted by the suffix E) yields 14S-E and 30S-E dyneins with ATPase activities that are slightly increased by Ca++. This effect is moderately potentiated when bovine brain calmodulin is added to the assay mixture. Extraction with 0.5 M KCl (denoted by the suffix K) yeilds a 14S-K dynein with a low basal ATPase activity in the presence of Ca++. Subsequent addition of calmodulin causes marked activation (up to 10-fold) of ATPase activity. Although 14S-K and 14S-E dyneins have Ca++-dependent ATPase activities that differ markedly in the degree of activation, the concentration of calmodulin required for half-maximal saturation is similar for both, approximately 0.1 microM. Both 30S-K and 30S-E dyneins, however, require approximately 0.7 microM bovine brain calmodulin to reach half-maximal activation of their Ca++-dependent ATPase activities. Tetrahymena calmodulin is as effective as bovine brain calmodulin in activating 30S dynein , but may be slightly less effective than the brain calmodulin in activating 14S dynein. Rabbit skeletal muscle troponin C also activates the Ca++-dependent ATPase activity of 30S dynein and, to a lesser extent, that of 14S dynein, but in both cases is less effective than calmodulin. The interaction of calmodulin with dynein that results in ATPase activation is largely complete in less than 1 min, and is prevented by the presence of low concentrations of ATP. Adenylyl imidodiphosphate can partially prevent activation of dynein ATPase by calmodulin plus Ca++, but at much higher concentrations than required for prevention by ATP. beta, gamma-methyl-adenosine triphosphate appears not to prevent this activation. The presence of Ca++-dependent calmodulin-binding sites on 14S and 30S dyneins was demonstrated by the Ca++-dependent retention of the dyneins on a calmodulin-Sepharose-4B column. Gel electrophoresis of 14S dynein that had been purified by the affinity-chromatography procedure showed that presence of two major and one minor high molecular weight components. Similar analysis of 30S dynein purified by this procedure also revealed on major and one minor high molecular weight components that were different from the major components of 14S dynein. Ca++-dependent binding sites for calmodulin were shown to be present on axonemes that had been extracted twice with Tris-EDTA or with 0.5 M KCl by the use of 35S-labeled Tetrahymena calmodulin. It is concluded that the 14S and 30S dyneins of Tetrahymena contain Ca++-dependent binding sites for calmodulin and the calmodulin mediates the Ca++-regulation of the dynein ATPases of Tetrahymena cilia.

Incubation of glycerol-extracted, Triton X-100 demembranated Tetrahymena cilia with 2–10 vol % acetone caused an enhancement of ATPase activity by 2- to 3- fold, depending on concentration and time of incubation. Axonemal ATPase activity was also increased upon incubation with bis (4-fluoro-3-nitrophenyl) sulfone (FNS). Acetone and FNS enhanced the activity of solubilized 30S dynein, but slightly inhibited that of 14S dynein. Heating at 38°C, incubation with FNS, and incubation with acetone activated axonemal ATPase to the same extent. Subsequent studies of (1) the effect of time of preincubation with a spin-labeled maleimide (SLM) at 25°C as a function of pH on the ATPase activity, (2) the concentration dependence of the inhibition of ATPase activity by N-ethylmaleimide or SLM, (3) the ratio of ATPase activity assayed at 25°C to that assayed at 0°C, and (4) the ratio of ATPase activity at pH 8.6 to that at pH 6.9 did not reveal any difference in the properties of the axonemal ATPase after near maximal enhancement by the heat, acetone, or FNS treatments. It was concluded that enhancement of ATPase activity by gentle heat treatment, by incubation with acetone (or other organic solvents), or by FNS results from a conformation change of 30S dynein. The effect of acetone and of FNS on the pellet height response (a measure of the increase in height of the pellet of cilia precipitated by brief centrifugation in the presence of ATP as compared to the absence of ATP) was also determined. Enhancement of ATPase by these reagents did not lead to a decrease in pellet height response. This observation, in conjunction with other data, indicates that there are at least 3 states of the cross-bridge cycle of dynein arms in cilia.

The effects of five sulfhydryl (SH) reagents – N-ethylmaleimide (NEM), a spin-labeled maleimide (SLM), N-N′-phenylenedimaleimide (PPDM), bis(4-fluoro-3-nitrophenyl)sulfone (FNS), and carboxypyridine disulfide (CPDS) – on glycerol-treated, Triton X-100-demembranated ciliary axonemes of Tetrahymena, on the 30S and 14S dyneins extracted from such axonemes, and on the residual ATPase activity remaining associated with axonemes that have been extracted twice with Tris-EDTA have been examined as a function of pH in the range 6.9–8.6. Preincubation of axonemes and of solubilized 30S dynein with low concentrations of each of the five SH reagents, at 0°C and at 25°C, caused enhancement of the latent ATPase activity. PPDM was the most effective reagent, causing half-maximal enhancement (after 18 h at 0°C) at ∼ 0.5 μM, corresponding to 0.19 moles/105 g axonemal protein. The rate constants, ka, for the enhancement reaction at 0°C depended on whether the 30S dynein was in situ or solubilized; the ratio ka (in situ) /ka (solubilized) was > 1 for NEM, ∼ 1 for PPDM, and < 1 for FNS. For each SH reagent except CPDS, ka (at 0°C) increased markedly with increasing pH in the range pH 6.9–8.6; for CPDS ka increased only about fourfold. At long times of preincubation and high concentrations of NEM, SLM, PPDM, and CPDS, the enhancement of ATPase activity was followed by a loss of activity. The values of kL, the rate constants for loss of ATPase activity from the peak enhanced level, were much lower than the corresponding values for ka, and increased with increasing pH. With SLM and PPDM, inhibition continued until the ATPase activity was almost completely inhibited. With NEM, however, the initial rate of loss from the peak enhanced value decreased as the ATPase activity returned toward the control (unmodified) level, and further inhibition was very slow. The differences in degree of inhibition obtained with SLM as compared to NEM suggest that there are at least two classes of inhibitory SH groups on 30S dynein. The ATPase activity of 14S dynein was only inhibited by preincubation with NEM, SLM, PPDM, and, to a lesser extent, CPDS; kL increased with increasing pH. Preincubation of 14S dynein with FNS yielded conflicting results when the reaction was “stopped” by adding dithiothreitol. When 14S dynein was preincubated at 0 C with FNS and the ATPase activity was then assayed at 25°C, a biphasic pattern of enhancement followed by inhibition was obtained. The residual ATPase activity of twice-extracted axomenes was relatively insensitive to each of the SH reagents studied; an initial rapid loss of some 20–40% of the ATPase activity occurred, followed by a very slow further loss of activity. Increasing the pH increased this slow rate of inhibition. The residual ATPase activity of unmodified twice-extracted axonemes decreased slightly with increasing pH, in contrast to the slight increase observed with increasing pH for the ATPase activity of axonemes and of solubilized 30S and 14S dyneins. The presence of ATP during preincubation of axonemes with PPDM at O°C prevented the enhancement of ATPase activity; only a slow loss of ATPase activity was observed. This rate of loss of ATPase activity was slower than the rate of loss observed (after peak enhancement of activity was reached) when PPDM reacted with axonemes in the absence of ATP. In these properties the SH groups of 30s dynein responsible for the enhancement of latent ATPase activity and for the inhibition of ATPase activity do not resemble the SH1 and SH2 groups of myosin, respectively, since the presence of ATP increases the rates of reaction of SH1 and SH2 of myosin with SH reagents.

The effects of N -ethylmaleimide and p -hydroxymercuribenzoate on the ATPase activity of glycerinated Tetrahymena cilia , of 30 S dynein extracted from the cilia, and on the residual ATPase remaining after extraction were studied and correlated with the effects of these reagents on the pellet height response of these cilia. Simultaneous addition of N -ethylmaleimide and ATP to cilia caused a slight inhibition of ATPase activity. Preincubation of the cilia with low N -ethylmaleimide in the absence of ATP, however, enhanced the ATPase activity; the enhancement decreased with increasing time of preincubation. Preincubation of cilia with high N -ethylmaleimide caused increasing inhibition. p -Hydroxymercuribenzoate was more potent than N -ethylmaleimide, usually causing only an inhibition which increased if the cilia were preincubated with p -hydroxymercuribenzoate in the absence of ATP. The pellet height response of these cilia, which serves as a convenient assay of some events related to ciliary motility, was inhibited about 50% by high concentrations of N -ethylmaleimide in the presence of ATP. Preincubation of the cilia with low concentrations of N -ethylmaleimide led to complete loss of the pellet height response. p -Hydroxymercuribenzoate was a more potent inhibitor of the pellet height response than N -ethylmaleimide; complete inhibition was attained even in the presence of ATP, while preincubation with a low concentration of p -hydroxymercuri-benzoate caused a very rapid loss of pellet height response. The ATPase activity of the crude dynein obtained by extraction of cilia and removal of the axonemes was approximately doubled by preincubation with N -ethylmaleimide. 30 S Dynein, obtained from the crude dynein by sedimentation on a sucrose density gradient, was slightly inhibited by N -ethylmaleimide; p -hydroxy-mercuribenzoate was more potent. The residual ATPase activity remaining on the axonemes after two extractions was also only inhibited by N -ethylmaleimide and by p -hydroxymercuribenzoate. These results demonstrated that SH groups influence both the ATPase activity of dynein and the pellet height response of glycerinated cilia. The possible significance of the similarity in enhancing effect of N -ethylmaleimide on cilia ATPase and on myosin ATPase was discussed.

The pellet height response (a measure of the increase in height of the pellet of cilia obtained by brief centrifugation in the presence of ATP as compared to the absence of ATP) of Tetrahymena cilia prepared by deciliation in the presence of Ca2+ is sensitive to the concentration of free Ca2+ during the pellet height assay. The magnitude of the increase in pellet height and the sharpness of the pellet boundary both increase markedly with increasing [Ca2+]. The half-maximal effect is attained at a free [Ca2+] of about 1.5 x 10(-7) M. The pellet height assay thus measures a Ca2+-sensitive component of the ciliary motile system. The possibility that this is the Ca2+-sensitive orientation system is discussed.

Tetrahymena were grown with shaking for 17 hours in the presence and absence of AMP. Under these conditions, glycogen content increased but there was a marked inhibition of glyoxylate oxidation and of the incorporation of label from acetate into glycogen during a 1-hour incubation. AMP treatment also caused and increase in the rate of incorporation of [3H]uracil into RNA which was maximal about 2 hours after the start of growth. Experiments were performed in which cells from log and transition phase cultures were incubated with acetate, pyruvate, and octanoate, but with only one substrate labeled in any one flask. Measurements were made of the amount of label incorporated from each labeled substrate into glycogen, lipids, CO2, and glutamate, and the results were analyzed according to a previously established model for the structure of metabolism in Tetrahymena. It was found that the model, which utilizes three pools of acetyl-CoA, permitted a quantitative fit to the data. Analysis of the data showed that AMP treatment reduced the rate of the Krebs cycle, the rate of glyconeogenesis, and the rate of pyruvate utilization in both log and transition phase cells from these labeled substrates. Incorporation of label from acetate into glutamate, however, was increased by AMP treatment in log cells and decreased in transition phase cells. AMP treatment markedly decreased the fraction of label entering into glyconeogenesis from the peroxisomal pool of acetyl-CoA. There was no change in the ATP:ADP ratio in log cells treated with AMP, and a slight decrease in the sum ATP + ADP. In transition phase cells, however, the ATP:-ADP ratio decreased and the sum of ATP + ADP also increased compared to control cells. Since many of the changes in intracellular flux patterns occurred in both log and transitional cells, changes in enzyme levels or control mechanisms other than the ATP:ADP ratios must be invoked to explain the effects of AMP on metabolism.

The [1- 14 C]galactose method for estimating phosphofructokinase flux in liver preparations ( R. Rognstad and J. Katz, 1976, Arch. Biochem. Biophys. 177 , 337–345 ) has been evaluated using a computer program that calculates the flow of 14 C label through all the carbon atoms of all the intermediates in a metabolic system. Our computations show that this method is subject to relatively small errors when gluconeogenesis from dihydroxyacetone proceeds in the absence of glycogenolysis or of phosphorylation of exogenous glucose, provided that bidirectional flux through aldolase is at least twice the rate of gluconeogenesis. Significant error may be introduced into estimates of phosphofructokinase flux if the experimental system deviates from these conditions.

A metabolic scheme of glycolysis and the pentose phosphate pathway has been constructed, assuming that the reactions occur in a single compartment. From this scheme, equations are written for a system in metabolic and isotopic steady state. These allow computation of the specific activity of every carbon atom of all the intermediates of the glycolytic and pentose phosphate pathways and consequently of the flux of carbon along each step of these pathways. A sufficiently large number of well distributed measurements of incorporation of radioactive label from different positions of several substrates into intermediates or products must be made to determine all the fluxes. This is done by choosing a set of metabolic fluxes, calculating incorporation with the aid of a computer, and then manipulating the flux rates until the computed incorporations match the data. The model is used in this paper to analyze the metabolism of the protozoan Tetrahymena pyriformis. The metabolic scheme of the model is consistent with all available information on the enzyme complement of this ciliate. Cells grown to transition phase in proteose/peptone medium were inoculated into a mixture of glucose (6 mM), fructose (6 mM), ribose (3 mM), and glycerol (3 mM) and incubated for 1 h. In each of these experiments, one of the following labeled substrates was present: [1-, 2-, 6-, or U-14C]glucose; [1- or U-14C]fructose; [1- or U-14C]ribose; [1(3)-or 2-14C]glycerol. The incorporation of label from these substrates into CO2, lipid, glycogen, and RNA was measured. In contrast to earlier studies on the metabolism of 2- and 3-carbon substrates by Tetrahymena, the rate of incorporation of label from some substrates into some products (e.g. from [1-14C]glucose into CO2) changed during the incubation. To treat these time-dependent data within the framework of the steady state model, the 1-h incubation was divided into three 20-min intervals; within each of these, the rates of incorporation were approximately constant, as required for a steady state system. Measurements of the pool sizes of glucose-6-P and fructose-6-P showed that only slow changes in pool sizes occurred after the first 5 min of incubation and indicated that the system was effectively in a metabolic and isotopic steady state throughout most of the incubation. The finding that a low concentration of cycloheximide prevented the acceleration of 14CO2 production from labeled glucose suggests a role for protein synthesis in the slow adaptation to carbohydrate addition and supports the quasi-steady state treatment of this system. The expected incorporation into each product was computed for trial sets of 1, independent flux rates. A set of flux values was found which yielded a good fit to the 29 measurements made for each interval. These flux values therefore constitute a quantitative description of temporal changes in carbon flow along the glycolytic and pentose phosphate pathways during the 1st h of adaptation to the carbohydrate mixture...

The basal ATPase activity of 30S dynein, whether obtained by extraction of ciliary axonemes with a high (0.5 M NaCl) or low (1 mM Tris-0.1 mM EDTA) ionic strength buffer is increased by NaCl, NaNO3, and Na acetate, with NaNO3 causing the largest increase. The calmodulin-activated ATPase activity of 30S dynein is also increased by addition of NaCl, NaNO3, or Na acetate, but the effects are less pronounced than on basal activity, so that the calmodulin activation ratio (CAR) decreases to 1.0 as salt concentration increases to 0.2 M. These salts also reduce the CAR of 14S dynein ATPase to 1.0 but by strongly inhibiting the calmodulin-activated ATPase activity and only slightly inhibiting the basal activity. Sodium fluoride differs both quantitatively and qualitatively from the other three salts studied. It inhibits the ATPase activity of both 14S and 30S dyneins at concentrations below 5 mM and, by a stronger inhibition of the calmodulin-activated ATPase activities, reduces the CAR to 1.0. Na acetate does not inhibit axonemal ATPase, nor does it interfere with the drop in turbidity caused by ATP and extracts very little protein from the axonemes. NaCl and, especially, NaNO3, cause a slow decrease in A350 of an axonemal suspension and an inhibition of the turbidity response to ATP. NaF, at concentrations comparable to those that inhibit the ATPase activities of the solubilized dyneins, also inhibits axonemal ATPase activity and the turbidity response. Pretreatment of demembranated axonemes with a buffer containing 0.25 M sodium acetate for 5 min followed by extraction for 5 min with a buffer containing 0.5 M NaCl and resolution of the extracted dynein on a sucrose density gradient generally yields a 30S dynein that is activated by calmodulin in a heterogeneous manner, ie, the "light" 30S dynein ATPase fractions are more activated than the "heavy" 30S dynein fractions. These results demonstrate specific anion effects on the basal and calmodulin-activated dynein ATPase activities, on the extractability of proteins from the axoneme, and on the turbidity response of demembranated axonemes to ATP. They also provide a method that frequently yields 30S dynein fractions with ATPase activities that are activated over twofold by added calmodulin.

We report here that a precipitating antibody prepared against Tetrahymena pyriformis calmodulin recognizes calcium-dependent determinants in the native protein. The ability of the antibody to precipitate 35S-labeled Tetrahymena calmodulin in direct radioimmunoassays was enhanced at least 3-fold in the presence of calcium. Competitive radioimmunoassay using homogeneous preparation of endogenously 35S-labeled Tetrahymena calmodulin and protein A-Sepharose-purified immunoglobulin G demonstrated that this antibody preparation is specific for protozoan calmodulin. Homogeneous vertebrate, invertebrate, and plant calmodulins, as well as rabbit skeletal muscle troponin C, did not show significant competition with the 35S-labeled Tetrahymena protein at concentrations 100-fold greater than that at which the homologous unlabeled Tetrahymena calmodulin produced 50% competition. A cyanogen bromide digest of Tetrahymena calmodulin also showed partial competition with the intact 35S-labeled protein, but only in the presence of calcium. The major antigenic determinants were localized to the carboxyl-terminal half of the molecule by immunoassay of limited trypsin fragments of Tetrahymena calmodulin. The antibody bound native calmodulin complexed to bovine brain phosphodiesterase (EC 3.1.4.17) but failed to recognize the Tetrahymena calmodulin carboxyl-terminal fragment (76-147) when complexed to the enzyme.

Equations are developed to describe the initiation of bending on a semi-infinite cilium or flagellum in a medium of negligible viscosity when one end of the cilium develops curvature as a result of a forcing function which may cause sufficient local curvature to initiate a propagated wave of bending that then travels at steady wave speed. It is assumed that active sliding is shear-limited, and that the active process begins when a critical curvature is attained, but the magnitude of the critical curvature required for initiation depends on the previous history of the curvature. With these assumptions, it is shown that the general shape of the initiation curves, i.e. position of point of maximum curvature as a function of time, approximately match the experimental data, i.e. the sliding filament model permits a range of initiation times comparable to those observed in nature.

Cultures of Tetrahymena pyriformis were incubated for 1 hour with a mixture of acetate, pyruvate, and pentanoate with only one substrate labeled at a time and with the position of the label chosen so that [1-14-C]acetyl coenzyme A was an early product of the metabolism of each substrate. The appearance of label in CO2, lipids, glycogen, glutamate, and alanine were measured and results interpreted in terms of a previously developed three-compartment model of metabolism, which was found to quantitatively describe the data even when two of the flux rates (the flux of acetyl-CoA from the peroxisomal to the outer mitochondrial compartment and from the outer mitrochondrial to the inner mitochondrial compartment) were set equal to zero. This reduction in the number of independent parameters leads to the model being overdetermined and to a probably unique fit of the three-compartment model tof the present data and to previous data when octanoate was the fatty acid substrate. Pentanoate was metabolized to a greater extent than octanoate and did not inhibit growth. Pentanoate inhibited acetate utilization in both the inner mitochondrial and peroxisomal compartments as indicated by a reduction in the incorporation of label from [1-14-C]acetate into lipids and into CO2, but there was no difference in oxidation of [2-14-C]pyruvate when pentanoate was the fatty acid substrate as compared to octanoate. Glyconeogenesis was inhibited when pentanoate was substituted for octanoate. Similar experiments were performed on cells treated with 4-pentenoic acid. The effects of 4-pentenoic acid were essentially the same whether octanoate or pentanoate was the fatty acid substrate, i.e. inhibition of glyconeogenesis from all labeled substrates and inhibition of [2-14-C]pyruvate oxidation. The results indicate that the effects of pentanoate are largely confined to the peroxisomal and the inner mitochondrial compartments whereas the effects of 4-pentenoic acid are confined to the peroxisomal and outer mitochondrial compartments.

Intracellular nucleotides of the achlorotic flagellate Astasia longa were fractionated by anion-exchange chromatography from cultures grown logarithmically at 14.5 ° and 28.5 °C, the two temperatures used for the synchronization of cell division of the protozoa, and also from synchronized cultures after the burst of division. No large changes in the relative quantities of the various nucleotides were observed under these conditions, but the total pool size increased markedly after the burst of division. Thirty-four nucleotides were obtained in sufficient quantity to be examined, and twelve of these were identified. These include two possible precursors of NAD, thereby suggesting the pathway of biosynthesis of NAD in Astasia. Some properties of the other twenty-two nucleotide components were established by spectral analysis and by paper chromatography, and some were tentatively identified.

Log-phase Tetrahymena were washed and resuspended in a dilute salt solution supplemented with glucose, acetate, pyruvate, or carmine, as desired, and then incubated for 5 h. Intra- and extracellular activities of acid phosphatase, α-glucosidase, and ribonuclease were assayed. Extracellular activities were corrected for proteolytic degradation. The three nutritive substrates affected both the amount and pattern of extracellular enzyme release, but carmine had no effect. Intracellular activities declined early in the starvation period, but partially recovered with time, particularly α-glucosidase activity. Acetate reduced the decline in acid phosphatase activity; acetate and glucose enhanced the recovery of α-glucosidase activity; carmine had no effect on intracellular enzyme activities. Protein content changed little and was unaffected by the addition of substrates. Glycogen content increased during incubation; acetate and glucose enhanced the increase.