Mechanosensory integration in the crayfish abdominal nervous system: Structural and physiological differences between interneurons with single and multiple spike initiating sites

Summary Cobalt backfills were used to demonstrate a population of approximately 50 paired interneurons in the 6th abdominal ganglion of the crayfish,Procambarus clarkii. Intracellular recordings from somata were used to study the response properties of individual interneurons, which were subsequently injected with Lucifer yellow. This report deals with 22 identified mechanosensory interneurons, which were each studied 2 to 20 times. (The total number of cells studied was 177). All but two of the interneurons could be assigned to one of two homogeneous classes, based on their receptive field sizes and four other consistent features: amplitude of soma spikes, duration of afterdischarge, presence of postsynaptic inhibition, and structure of the neuropilar processes. Unisegmental interneurons (Type I) (n=9) had excitatory receptive fields restricted to one segment, small soma spikes, little afterdischarge, and received extensive postsynaptic inhibition from contralateral and occasionally anterior sensory fields. All of these interneurons had a large diameter neuropilar segment (integrating segment) that was separated from the main axon by a constricted region. Multisegmental interneurons (Type II) (n=11) had excitatory receptive fields of at least six hemisegments (one half of the abdomen), large (sometimes overshooting) soma spikes, prolonged afterdischarge, and little evidence of postsynaptic inhibition. These interneurons lacked any expanded region of the dendritic tree that could be called an integrating segment. Anomalous interneurons (n=2) had multisegmental receptive fields, but in all other respects they resembled unisegmental interneurons, although their soma spikes were somewhat larger in amplitude.We hypothesize that the fundamental difference between the two main kinds of interneurons is that Type II interneurons have multiple spike initiating sites distributed throughout their dendritic trees, with any site being capable of initiating a spike that propagates to the main axon, while Type I interneurons have a single spike initiating site. The properties of anomalous interneurons are consistent with them having a single spike initiating site in each of several ganglia.     

Identification of nonlinear systems using random impulse train inputs

Nonlinear systems that require discrete inputs can be characterized by using random impulse train (Poisson process) inputs. The method is analagous to the Wiener method for continuous input systems, where Gaussian white-noise is the input. In place of the Wiener functional expansion for the output of a continuous input system, a new series for discrete input systems is created by making certain restrictions on the integrals in a Volterra series. The kernels in the new series differ from the Wiener kernels, but also serve to identify a system and are simpler to compute. For systems whose impulse responses vary in amplitude but maintain a similar shape, one argument may be held fixed in each kernel. This simplifies the identification problem. As a test of the theory presented, the output of a hypothetical second order nonlinear system in response to a random impulse train stimulus was computer simulated. Kernels calculated from the simulated data agreed with theoretical predictions. The Poisson impulse train method is applicable to any system whose input can be delivered in discrete pulses. It is particularly suited to neuronal synaptic systems when the pattern of input nerve impulses can be made random.     

General methodology for nonlinear modeling of neural systems with Poisson point-process inputs

This paper presents a general methodological framework for the practical modeling of neural systems with point-process inputs (sequences of action potentials or, more broadly, identical events) based on the Volterra and Wiener theories of functional expansions and system identification. The paper clarifies the distinctions between Volterra and Wiener kernels obtained from Poisson point-process inputs. It shows that only the Wiener kernels can be estimated via cross-correlation, but must be defined as zero along the diagonals. The Volterra kernels can be estimated far more accurately (and from shorter data-records) by use of the Laguerre expansion technique adapted to point-process inputs, and they are independent of the mean rate of stimulation (unlike their P-W counterparts that depend on it). The Volterra kernels can also be estimated for broadband point-process inputs that are not Poisson. Useful applications of this modeling approach include cases where we seek to determine (model) the transfer characteristics between one neuronal axon (a point-process 'input') and another axon (a point-process 'output') or some other measure of neuronal activity (a continuous 'output', such as population activity) with which a causal link exists.     

Separation of macromolecules in isotachophoresis systems involving single or multiple counterions

The isotachcophoresis principle provides unique opportunities for rational designs of fractionation procedures involving charged molecules. Theoretically any two charged molecules that are soluble under the experimental conditions involved can be physically separated if their electrophoretic net mobilities differ only slightly in the electrophoresis medium used. A theoretical and practical outline is presented that enables the reader to set up this fractionation system and on a rational basis develop fractionation procedures for a given set of charged macromolecules by isotachophoresis with simple and well characterized ampholytes as spacer substances. The planning of preparative experiments in this approach is based on results obtained from rapid analytical screens on a microgram scale. The report includes an appendix containing the theoretical basis for computation of buffer compositions in the isotachophoretic steady state with mono/polyvalent constituents in systems involving one or more counterions and controlled amounts of interferiong ions.     

Combining frequency and time domain approaches to systems with multiple spike train input and output

A frequency domain approach and a time domain approach have been combined in an investigation of the behaviour of the primary and secondary endings of an isolated muscle spindle in response to the activity of two static fusimotor axons when the parent muscle is held at a fixed length and when it is subjected to random length changes. The frequency domain analysis has an associated error process which provides a measure of how well the input processes can be used to predict the output processes and is also used to specify how the interactions between the recorded processes contribute to this error. Without assuming stationarity of the input, the time domain approach uses a sequence of probability models of increasing complexity in which the number of input processes to the model is progressively increased. This feature of the time domain approach was used to identify a preferred direction of interaction between the processes underlying the generation of the activity of the primary and secondary endings. In the presence of fusimotor activity and dynamic length changes imposed on the muscle, it was shown that the activity of the primary and secondary endings carried different information about the effects of the inputs imposed on the muscle spindle. The results presented in this work emphasise that the analysis of the behaviour of complex systems benefits from a combination of frequency and time domain methods. This article is part of a special issue on Neuronal Dynamics of Sensory Coding.     

Global identifiability of the parameters of nonlinear systems with specified inputs: a comparison of methods

The two methods available for analyzing the global structural identifiability of the parameters of a nonlinear system with a specified input function, the Taylor series approach and the similarity transformation approach, are compared and contrasted through application to three examples. It is shown that, as for linear systems, it is very difficult to predict which of the available methods will result in the least effort for a particular example. The role of modern symbolic manipulation packages in the analysis is assessed. The third example proves intractable using the similarity transformation approach as originally formulated, but the analysis is completed using a reformulation that exploits the polynominal form of the system equations in the example.     

Ethylene signalling and response pathway: a unique signalling cascade with a multitude of inputs and outputs

Plants as immobile organisms need to constantly monitor the changes in the environment to modify and adjust developmental and metabolic pathways accordingly. The responses to these environmental cues require an integrative mechanism where external and internal signals are detected and processed to trigger an appropriate 'reaction' in the plant. Hormones play a key role in mediating some of these integrative processes and in generating the response reactions. The identification and characterization of the basic hormone signalling components and their interactions represent the first step towards comprehensive understanding of plant responses to intrinsic and extrinsic cues. A relatively well-characterized ethylene signalling and response pathway, together with numerous evidences of its interactions with other signalling/response pathways, provide an excellent example to illustrate our current knowledge and perspective on how signal integration occurs in plants.     

Sulfur isotopes in sulfate in the inputs and outputs of a Canadian Shield watershed

The isotopic composition of sulfur in sulfate from precipitation, stream inflows and outflow of the Lake 239 watershed at the Experimental Lakes Area, northwestern Ontario, was monitored for four years, 1982–1985. Rainfall had ³⁴S of 3–9and a three year mean value weighted by the mass of sulfate of 4.8 Sulfur in streams ranged from 5–15 and displayed a pronounced seasonal pattern in which ³⁴S showed significant negative correlations with both streamflows and sulfate concentrations. Outflow values were much more constant and averaged 6.4 over the three year period. Sulfate reduction or sorption favoring retention of the lighter isotope in the watershed was the probable cause of the isotopic variation of the sulfur isotopes in the streams. A sulfur isotope budget for the lake balanced within 1     

A dynamical interpretation of strong observability and detectability concepts for nonlinear systems with unknown inputs: application to biochemical processes

Determination of the observability/detectability properties of a nonlinear system is fundamental to assess the possibility of constructing observers and the properties that can be assigned to them, as e.g., the assignability of the convergence rate. For linear systems this task can be solved by well-known techniques, for the case without perturbations as much as for the perturbed case. However, for nonlinear systems this study is usually a very hard task, in particular, when unknown inputs and/or perturbations are present. In this paper a general method to study these properties will be described, and its capabilities and feasibility will be assessed by means of a few case studies related to the culture of phytoplankton in the chemostat.     

Genetic and physiological characterization of the OsCem mutant in rice: formation of connected embryos with multiple plumules or multiple radicles

Establishment of the apical-basal axis is a critical event in plant embryogenesis. Two functionally distinct primordia (the plumule and radicle) are meristems that originate from the lower and upper regions, respectively, of the embryo and are arranged along an apical-basal axis. One rice mutant (OsCem), which alters the embryo axis pattern to produce multiple plumules and/or radicles, was characterized. The OsCem mutant plants showed three different phenotypes: a multiple-shoot type, a heart-shaped Siamese embryo having multiple plumules and a common radicle; a multiple-root type, an upside-down Y-shaped Siamese embryo possessing multiple radicles and a common plumule; and a connected twin type, a connected Siamese twin having two sets of plumules and radicles. These diverse phenotypes demonstrated that the upper and lower regions of the embryo axis have a similar potential to complete the full spectrum of the developmental program of multiple plumules and radicles, respectively. Genetic analysis and molecular mapping based on simple sequence repeat markers has revealed that a recessive gene was involved in the control of the connected Siamese embryo formation. By using an F2 mapping population derived from a cross between the OsCem mutant and the variety 95-15, the OsCem locus was mapped primarily to the short arm of chromosome 3 of rice (Oryza sativa) at the interval between markers RM148 (6.4 cM) and RM468 (7.5 cM). Subsequently, the OsCem locus was fine mapped to the interval between markers M5 (1.6 cM) and M6 (1.0 cM).     

Predicting single spikes and spike patterns with the Hindmarsh–Rose model

Most simple neuron models are only able to model traditional spiking behavior. As physiologists discover and classify different electrical phenotypes, computational neuroscientists become interested in using simple phenomenological models that can exhibit these different types of spiking patterns. The Hindmarsh–Rose model is a three-dimensional relaxation oscillator which can show both spiking and bursting patterns and has a chaotic regime. We test the predictive powers of the Hindmarsh–Rose model on two different test databases. We show that the Hindmarsh–Rose model can predict the spiking response of rat layer 5 neocortical pyramidal neurons on a stochastic input signal with a precision comparable to the best known spiking models. We also show that the Hindmarsh–Rose model can capture qualitatively the electrical footprints in a database of different types of neocortical interneurons. When the model parameters are fit from sub-threshold measurements only, the model still captures well the electrical phenotype, which suggests that the sub-threshold signals contain information about the firing patterns of the different neurons.     

Multiple proteins with single activities or a single protein with multiple activities: the conundrum of cell surface NADH oxidoreductases

Reduction of the cell-impermeable tetrazolium salt WST-1 has been used to characterise two plasma membrane NADH oxidoreductase activities in human cells. The trans activity, measured with WST-1 and the intermediate electron acceptor mPMS, utilises reducing equivalents from intracellular sources, while the surface activity, measured with WST-1 and extracellular NADH, is independent of intracellular metabolism. Whether these two activities involve distinct proteins or are inherent to a single protein is unclear. In this work, we have attempted to address this question by examining the relationship between the trans and surface WST-1-reducing activities and a third well-characterised family of cell surface oxidases, the ECTO-NOX proteins. Using blue native-polyacrylamide gel electrophoresis, we have identified a complex in the plasma membranes of human 143B osteosarcoma cells responsible for the NADH-dependent reduction of WST-1. The dye-reducing activity of the 300 kDa complex was attributed to a 70 kDa NADH oxidoreductase activity that cross-reacted with antisera against the ECTO-NOX protein CNOX. Differences in enzyme activities and inhibitor profiles between the WST-1-reducing NADH oxidoreductase enzyme in the presence of NADH or mPMS and the ECTO-NOX family are reconciled in terms of the different purification methods and assay systems used to study these proteins.     

Multiple proteins with single activities or a single protein with multiple activities: The conundrum of cell surface NADH oxidoreductases

Reduction of the cell-impermeable tetrazolium salt WST-1 has been used to characterise two plasma membrane NADH oxidoreductase activities in human cells. The trans activity, measured with WST-1 and the intermediate electron acceptor mPMS, utilises reducing equivalents from intracellular sources, while the surface activity, measured with WST-1 and extracellular NADH, is independent of intracellular metabolism. Whether these two activities involve distinct proteins or are inherent to a single protein is unclear. In this work, we have attempted to address this question by examining the relationship between the trans and surface WST-1-reducing activities and a third well-characterised family of cell surface oxidases, the ECTO-NOX proteins. Using blue native-polyacrylamide gel electrophoresis, we have identified a complex in the plasma membranes of human 143B osteosarcoma cells responsible for the NADH-dependent reduction of WST-1. The dye-reducing activity of the 300 kDa complex was attributed to a 70 kDa NADH oxidoreductase activity that cross-reacted with antisera against the ECTO-NOX protein CNOX. Differences in enzyme activities and inhibitor profiles between the WST-1-reducing NADH oxidoreductase enzyme in the presence of NADH or mPMS and the ECTO-NOX family are reconciled in terms of the different purification methods and assay systems used to study these proteins.     

Measures of transinformation for multiple input/single output neuronal systems

This paper presents a method for the calculation of the information transfer, or transinformation, in multiple input/single output neuronal systems. Our approach is an extension of an approach introduced by Eckhorn and Poepel in 1974. These authors computed the transinformation in single input/single output neuronal channels by regarding the spike (or stimulus) trains involved as finite Markov chains. The expressions for multiple input systems presented here are derived in close analogy to formulae in linear systems theory which show explicity the correlations between the different input channels. A number of equivalent forms for the transinformation are discussed.     

Rapid one-step inactivation of single or multiple genes in Escherichia coli

Gene knockout experiments are frequently performed for both fundamental and applied biological research. We developed an integration helper plasmid-based knockout system for more efficient and rapid engineering of Escherichia coli. The integration helper plasmid, pCW611, contains two recombinases that are expressed in the reverse direction by two independent inducible systems. One is Red recombinase under the control of the arabinose-inducible system to induce a recombination event by using the linear gene knockout DNA fragment, while the other is Cre recombinase, which is controlled by the isopropyl β-D -1-thiogalactopyranoside-inducible system to obtain markerless mutant strains. The time and effort required can be reduced with this system because iterative transformation and curing steps are not required. We could delete one target gene in three days by using pCW611. To verify the usefulness of this system, deletion experiments were performed to knock out four target genes individually (adhE, sfcA, frdABCD, and ackA) and two genes simultaneously for two cases (adhE–aspA and sfcA–aspA). Also, sequential deletion of four target genes (fumB, iclR, fumA, and fumC) was successfully performed to make a fumaric acid producing strain. This successfully developed and validated rapid and efficient gene manipulation system should be useful for the metabolic engineering of E. coli.     

双氰胺单次配施和连续配施的土壤氮素形态和蔬菜硝酸盐累积变化

采用田间试验研究了双氰胺(dicyandiamide,缩写DCD)单次配施和连续配施的土壤氮素形态和蔬菜硝酸盐累积变化。结果表明,与单施化肥相比,DCD单次配施的长期叶菜甘蓝生长过程中土壤铵态氮含量增幅为21.3%—339.4%,土壤硝态氮和菜体硝酸盐含量降幅分别为5.4%—80.2%和4.4%—58.3%;短期叶菜空心菜收获时土壤铵态氮含量增加了299.4%,土壤硝态氮和菜体硝酸盐含量分别降低了26.2%和31.7%。DCD连续配施的"甘蓝-菠菜-空心菜-萝卜-大白菜"种植体系中,土壤铵态氮、硝态氮和菜体硝酸盐含量均呈累积的趋势,配施DCD的土壤铵态氮含量从略高于化肥处理(44.0%)发展到极显著高于化肥处理(392.5%,P<0.01),土壤硝态氮含量从极显著低于化肥处理(-68.2%,P<0.01)发展到显著高于化肥处理(146.6%,P<0.05),菜体硝酸盐含量从显著低于化肥处理(-30.2%,P<0.05)发展到极显著高于化肥处理(40.4%,P<0.01)。由此可见,DCD单次配施可显著降低菜体硝酸盐含量,而连续配施DCD的土壤能维持一定量的铵态氮水平,这些盈余的铵态氮会进一步转化为硝态氮残留在土壤中,并可能产生蔬菜硝酸盐累积的风险。     

Beyond spike timing: the role of nonlinear plasticity and unreliable synapses

 Spike-timing-dependent plasticity (STDP) strengthens synapses that are activated immediately before a postsynaptic spike, and weakens those that are activated after a spike. To prevent an uncontrolled growth of the synaptic strengths, weakening must dominate strengthening for uncorrelated spike times. However, this weight-normalization property would preclude Hebbian potentiation when the pre- and postsynaptic neurons are strongly active without specific spike-time correlations. We show that nonlinear STDP as inherent in the data of Markram et al. [(1997) Science 275:213–215] can preserve the benefits of both weight normalization and Hebbian plasticity, and hence can account for learning based on spike-time correlations and on mean firing rates. As examples we consider the moving-threshold property of the Bienenstock–Cooper–Munro rule, the development of direction-selective simple cells by changing short-term synaptic depression, and the joint adaptation of axonal and dendritic delays. Without threshold nonlinearity at low frequencies, the development of direction selectivity does not stabilize in a natural stimulation environment. Without synaptic unreliability there is no causal development of axonal and dendritic delays. Received: 22 April 2002 / Accepted: 23 May 2002 Acknowledgements. This study was supported by the Swiss National Science Foundation (grant 3152-065234.01) and the Silva-Casa foundation. The author thanks Stefano Fusi, Henry Markram, and Misha Tsodyks for helpful discussions, Nissim Buchs and Martin Schneider for their simulations, and Jan Reutimann for proof reading. Correspondence to: e-mail: wsenn@cns.unibe.ch, Tel.: +41-31-6318721, Fax: 41-31-6314611     

Comparison of immune responsiveness in mice after single or multiple donor-specific transfusions

Immune responsiveness was compared in B6AF1 mice after one, two, three, or four donor-specific DBA/2 blood transfusions (DST). Ten days after the last transfusion, the spleen cells of transfused mice were assayed for direct lymphocyte-mediated cytotoxicity, for the ability to respond in mixed lymphocyte culture (MLC) and cell-mediated lymphocytotoxic (CML) assays to DBA/2 and C3H/He antigens, and for the ability to inhibit the MLC and CML response of normal B6AF1 to DBA/2 and C3H/He antigens. Immune responsiveness was also tested in B6AF1 2 to 80 days after a single DBA/2 DST. The MLC response of transfused mice was specifically suppressed to the blood donor after both single and multiple transfusions. The CML response to DBA/2 was suppressed after a single DST, but returned to normal after multiple transfusions. Spleen cells from transfused mice did not inhibit the MLC response of normal B6AF1 mice to DBA/2 or C3H/He antigens after one or two transfusions regardless of time tested, but were able to inhibit the response to both stimulators after three or more transfusions. The MLC response remained specifically suppressed to the blood donor for as long as 80 days after a single DST, while the CML response was suppressed up to 50 days after transfusion, but had returned to normal by 80 days.