Ghostbursting: A Novel Neuronal Burst Mechanism

Pyramidal cells in the electrosensory lateral line lobe (ELL) of weakly electric fish have been observed to produce high-frequency burst discharge with constant depolarizing current (Turner et al., 1994). We present a two-compartment model of an ELL pyramidal cell that produces burst discharges similar to those seen in experiments. The burst mechanism involves a slowly changing interaction between the somatic and dendritic action potentials. Burst termination occurs when the trajectory of the system is reinjected in phase space near the ghost of a saddle-node bifurcation of fixed points. The burst trajectory reinjection is studied using quasi-static bifurcation theory, that shows a period doubling transition in the fast subsystem as the cause of burst termination. As the applied depolarization is increased, the model exhibits first resting, then tonic firing, and finally chaotic bursting behavior, in contrast with many other burst models. The transition between tonic firing and burst firing is due to a saddle-node bifurcation of limit cycles. Analysis of this bifurcation shows that the route to chaos in these neurons is type I intermittency, and we present experimental analysis of ELL pyramidal cell burst trains that support this model prediction. By varying parameters in a way that changes the positions of both saddle-node bifurcations in parameter space, we produce a wide gallery of burst patterns, which span a significant range of burst time scales.     

The role of amino acid neurotransmitters in the descending control of electroreception

The roles of amino acid neurotransmitters in determining the processing characteristics of the electrosensory lateral line lobe (ELL) in Apteronotus leptorhynchus were investigated by studying the responses of ELL output neurons to pressure ejection of various neurotransmitter agonists and antagonists alone and in combination with simple electrosensory stimuli.

1. Pressure ejection of L-glutamate into the ELL dorsal molecular layer caused either excitation or inhibition of ELL efferent neurons (pyramidal cells). The sign of these responses reversed with changes in the position of the pressure pipette. Histological verification of drug ejection sites relative to recorded cells and diffusion estimates indicate that excitatory and inhibitory responses result from glutamate activation of pyramidal cells and of inhibitory interneurons, respectively.
2. ELL output cells respond to both NMDA and non-NMDA glutamate agonists and the responses are attenuated by co-ejection of specific antagonists indicating that both AMPA/kainate and NMDA receptors exist on pyramidal cell apical dendrites.
3. Gamma-aminobutyric acid inhibits basilar and nonbasilar pyramidal cells when ejected near their apical dendrites and disinhibits them when ejected near surrounding inhibitory interneurons confirming the presence of GABA receptors on these cell types.
4. An NMDA antagonist did not alter pyramidal cell responses to electrosensory stimuli but a non-NMDA antagonist altered both responses to the stimuli and firing frequency shortly following stimulus cessation.

     

Commissural neurons of the electrosensory lateral line lobe of Apteronotus leptorhynchus: morphological and physiological characteristics

Extracellular injections of horseradish peroxidase were used to label commissural cells connecting the electrosensory lateral line lobes of the weakly electric fish Apteronotus leptorhynchus. Multiple commissural pathways exist; a caudal commissure is made up of ovoid cell axons, and polymorphic cells' axons project via a rostral commissure. Intracellular recording and labeling showed that ovoid cells discharge spontaneously at high rates, fire at preferred phases to the electric organ discharge, and respond to increased receptor afferent input with short latency partially adapting excitation. Ovoid cell axons ramify extensively in the rostro-caudal direction but are otherwise restricted to a single ELL subdivision. Polymorphic cells are also spontaneously active, but their firing is unrelated to the electric organ discharge waveform. They respond to increased receptor afferent activity with reduced firing frequency and response latency is long. Electrical stimulation of the commissural axons alters the behavior of pyramidal cells in the contralateral ELL. Basilar pyramidal cells are hyperpolarized and nonbasilar pyramidal cells are depolarized by this type of stimulation. The physiological results indicate that the ovoid cells participate in common mode rejection mechanisms and also suggest that the ELLs may function in a differential mode in which spatially restricted electrosensory stimuli can evoke heightened responses.Abbreviations ccELL caudal commissure of the ELL - CE contralaterally excited - DML dorsal molecular layer - ELL electrosensory lateral line lobe - EOD electric organ discharge - HRP horseradish peroxidase - IE ipsilaterally excited - MTI mouth-tail inverted - MTN mouth-tail normal - rcELL rostral commissure of the ELL - TRI transverse inverted - TRN transverse normal     

The depolarizing mechanoreceptor potential and Ca/Mg receptor-current of the marine ciliate Euplotes vannus

The anterior depolarizing mechanoreceptor potential and the correlated receptor currents have been studied in the marine ciliate Euplotes vannus. Mechanical stimuli that mimicked cell-cell collisions depolarized the resting potential of about — 25 mV to maximally — 5 mV, with a speed of 1.2 mV/ms, a delay to the stimulus of about 15 ms, and a repolarization within 30 to 300 ms. The power-stroke direction of the cirri-beat reversed from backward to forward during this response. The receptor current rose to an average amplitude of 1.4 nA with a speed of 0.1–0.3 nA/ms and decayed with a single exponential time course with a time constant between 7 and 9 ms. Similar current-reversal potentials, after substitution of extracellular Ca²⁺ by Mg²⁺ and vice versa, indicate that the mechanically activated conductance is identical for Ca²⁺ or Mg²⁺. The current can be carried by Ba²⁺ as well, but not by K⁺ or Na⁺. Decirriation experiments have shown that the mechanosensitivity is located within the soma membrane.Abbreviations EASW artificial sea-water adapted for electrophysiology - EGTA ethylene glycol-O O-bis(2-aminoethyl)-N,N,N,N-tetraacetic acid - NMDG N-methyl-D-glucamine - TEA tetraethyl ammonium - V _m membrane potential - g _X conductance for the ion X - D600 Methoxyverapamil     

Neuronal control of leech swimming movements: interactions between cell 60 and previously described oscillator neurons

Summary A recently discovered member of the neuronal oscillator underlying swimming movements in the medicinal leech,Hirudo medicinalis, is described. This interneuron, named cell 60, exhibits membrane potential oscillations that are phase-locked to the swim oscillations observed in other oscillator neurons (phase angle, approximately 220°) and, when depolarized, acts to shift the phase of the swim oscillations. The soma of cell 60 lies near the posterior-lateral margin on the ventral aspect of most (and possibly all) segmental ganglia. The neurite crosses the midline, then turns anteriorly and projects into the lateral intersegmental connective. Cell 60 is connected to cell 28, a previously described dorsal swim oscillator neuron, via an electrically rectifying junction.Two interactions link cell 60 with cell 208, a swim oscillator neuron found on the ventral aspect of segmental ganglia: a short-latency, fatiguing inhibitory synapse and a powerful electrical interaction. The electrical interaction acts as a diode, in that current can pass from cell 60 to cell 208, but not in the reverse direction. The coupling coefficient in the forward direction is about 0.5 and is independent of the membrane potential difference between cells 60 and 208 provided that the diode connection is forward biased.The rectifying junction acts as a switch which is off during swimming activity because cell 208 oscillations are superimposed on a tonic depolarization of about 10–15 mV. This tonic potential reverse biases the electrical diode connection between cell 60 and cell 208, leaving the inhibitory synapse as the only effective interaction between these cells. The diode switch is on when cell 208 is hyperpolarized. In this circumstance, the dominant connection is electrical; therefore induced potential oscillations in cell 60 induce in-phase oscillations in cell 208.Abbreviations PIR Postinhibitory rebound - NM Neuromime     

Sodium ions are necessary for growth and energy transduction in the marine cyanobacterium Oscillatoria brevis

The maximal growth rate of the marine cyanobacterium Oscillatoria brevis was reached at 200–400 mM NaCl and pH 9.0–9.6. NaCl was found (i) to stimulate the rate of the light-supported generation across the cytoplasmic membrane of the cells and (ii) to decrease the sensitivity of level and motility of the O. brevis trichomes to protonophorous uncouplers. The Na⁺/H⁺ antiporter, monensin, increased both and the uncoupler sensitivity of the cells. The data obtained agree with the assumption that O. brevis possesses a primary Na⁺ pump in its cytoplasmic membrane.Abbreviations ATP adenosine-5-triphosphate - TTFB tetrachlortrifluoromethylimidazol - CCCP carbonyl cyanide m-chlorophenylhydrazone - Na⁺ transmembrane electrochemical potential differences of Na⁺ - transmembrane electric potential difference - pNa transmembrane pNa difference     

The mechanism of Na+ transport by rabbit urinary bladder

Summary The mechanism of Na⁺ transport in rabbit urinary bladder has been studied by microelectrode techniques. Of the three layers of epithelium, the apical layer contains virtually all the transepithelial resistance. There is radial cell-to-cell coupling within this layer, but there is no detectable transverse coupling between layers. Cell coupling is apparently interrupted by intracellular injection of depolarizing current. The cell interiors are electrically negative to the bathing solutions, but the apical membrane of the apical layer depolarizes with increasingI _sc. Voltage scanning detects no current sinks at the cell junctions or elsewhere. The voltage-divider ratio, , (ratio of resistance of apical cell membrane,R _a, to basolateral cell membrane,R _b) decreases from 30 to 0.5 with increasingI _sc, because of the transportrelated conductance pathway in the apical membrane. Changes in effective transepithelial capacitance withI _sc are predicted and possibly observed. The transepithelial resistance,R _t, has been resolved intoR _a, R_b, and the junctional resistance,R _j, by four different methods: cable analysis, resistance of uncoupled cells, measurements of pairs of (R _t, ) values in the same bladder at different transport rates, and the relation betweenR _t andI _sc and between andI _sc.R _j proves to be effectively infinite (nominally 300 k F) and independent ofI _sc, andR _a decreases from 154 to 4 k F with increasingI _sc. In the resulting model of Na⁺ transport in tight epithelia, the apical membrane contains an amiloride-inhibited and Ca⁺⁺-inhibited conductance pathway for Na⁺ entry; the basolateral membrane contains a Na⁺–K⁺-activated ATPase that extrudes Na⁺; intracellular (Na⁺) may exert negative feedback on apical membrane conductance; and aldosterone acts to stimulate Na⁺ entry at the apical membrane via the amiloride-sensitive pathway.     

Ionic and neuromodulatory regulation of burst discharge controls frequency tuning

Sensory neurons encode natural stimuli by changes in firing rate or by generating specific firing patterns, such as bursts. Many neural computations rely on the fact that neurons can be tuned to specific stimulus frequencies. It is thus important to understand the mechanisms underlying frequency tuning. In the electrosensory system of the weakly electric fish, Apteronotus leptorhynchus, the primary processing of behaviourally relevant sensory signals occurs in pyramidal neurons of the electrosensory lateral line lobe (ELL). These cells encode low frequency prey stimuli with bursts of spikes and high frequency communication signals with single spikes. We describe here how bursting in pyramidal neurons can be regulated by intrinsic conductances in a cell subtype specific fashion across the sensory maps found within the ELL, thereby regulating their frequency tuning. Further, the neuromodulatory regulation of such conductances within individual cells and the consequences to frequency tuning are highlighted. Such alterations in the tuning of the pyramidal neurons may allow weakly electric fish to preferentially select for certain stimuli under various behaviourally relevant circumstances.     

The synthesis of α-amylase by rough and in vitro reconstituted rough endoplasmic reticulum derived from rat parotid gland

Summary The isolation of rough and smooth endoplasmic reticulum from rat parotid salivary gland is described. The rough membrane was stripped of its bound ribosomes using the KCl-puromycin method. Rough endoplasmic reticulum was reconstituted from stripped-rough membrane and polyribosomes. The reconstituted rough membrane resembled the native rough membrane in the following aspects: RNA/protein ratio, buoyant density in a continuous sucrose gradient and amino acid incorporation capacity. The in vitro synthesis of -amylase by both rough and in vitro reconstituted rough membrane was demonstrated using SDS polyacrylamide gel electrophoresis. The reconstituted rough membrane could be restripped by KCl-puromycin. The in vitro synthesized -amylase remained associated with the rough or the in vitro reconstituted rough membrane, even after these membranes were stripped of their bound ribosomes.Abbreviations Fp Free polyribosomes - Bp Membrane-bound polyribosomes released by DOC - RM Rough membrane - SM Smooth membrane - RMst Rough membrane stripped - RMrec In vitro reconstituted rough membrane - DOC Sodium deoxycholate     

Ultrastructure of spermatogenesis and sperm ofMulticotyle purvisi (Plathelminthes,Aspidogastrea)

Summary The ultrastructure of spermatogenesis is described for the first time in an aspidogastrean. The zone of differentiation which is usually formed during digenean spermiogenesis was not observed inMulticotyle purvisi. Instead, spermatid components are assembled within the common cytoplasmic mass before the outgrowth of spermatids. Microtubules, mitochondrion, nucleus and axonemes including their basal body regions, migrate from the cytoplasm into the spermatid which is pinched off at the level of the arching membrane. An unusual, complex structure of the basal body region is described. Intercentriolar bodies and striated rootlets are left behind and quickly disappear from the residual cytoplasm. Despite these atypical aspects, spermiogenesis results in the formation of mature sperm with the classical structure common to Digenea and Monogenea Polyopisthocotylea with the addition of some extra, non-cortical microtubules and a dense rod along part of the length of the sperm.Abbreviations used in the figures A cell type A, primary spermatogonium - AM arching membrane - AX axoneme - AZ attachment zone - B cell type B — spermatogonium - BB basal body region - C cell type C — spermatogonium - CEL central element - CI cisternae - CY cytophore - D cell type D — primary spermatocyte - DO doublet of microtubules - DR dark rod - E cell type E — multinucleate condensed cytophore - ER endoplasmic reticulum - G glycogen - GO Golgi body - I intercentriolar body - LB lamellate body - M mitochondrion - ME remnants of arching membranes - MT microtubules - N nucleus - R rootlet - S spermatid     

Evidence that α-dihydrograyanotoxin II does not bind to the sodium gate

Summary The basis for the ability of -dihydrograyanotoxin II (-2HG-II) to promote Na⁺ conductance in axons was sought. The apparent binding of tritiated -2HG-II to neural and other preparations was studied, using equilibrium dialysis, with lobster axon membranes,Torpedo electroplax, housefly head, and rat brain, liver and kidney. In every case the binding was nonsaturating and was suggested to involve nonspecific partitioning into the tissue. Supporting evidence was the similarity of extent of binding in all tissues and its relative insensitivity to neuropharmacological agents. -2HG-II did not affect the Na⁺ conductance of phospholipid bilayers, nor did it permit transport of²²Na into a bulk organic phase. It was concluded that -2HG-II did not bind to the sodium gate, but possibly to a sodium permease present at a frequency of less than one per ² of cell membrane.     

Model predictions of the ionic mechanisms underlying the beating and bursting pacemaker characteristics of molluscan neurons

The general properties of the excitable membrane on molluscan pacemaker neurons can be described on the basis of a fair amount of experimental evidence available in the literature. The neuronal membrane exhibits under voltage clamp an initial inward current carried by both Na⁺ and Ca²⁺ ions, the time- and voltage-dependent characteristics of which are similar to that of other excitable structures. The conductance mechanism for the two ion species and the transport kinetics appear to be closely similar. The time course and amplitude of the delayed outward current carried by K⁺ ions shows a marked dependence on the membrane potential. Characteristic for the molluscan neurons is the existence of an additional fast transient outward current which is only activated by hyperpolarizing shifts from the membrane potential. A regular beating discharge over a wide range of frequencies can be predicted by making the assumption of a metabolically controlled driving of the Na⁺ conductance. Bursting pacemaker characteristics can be correctly simulated by the model if sinusoidal variations of an additional Na⁺ and Ca²⁺ conductances g _Na and g _Ca, and periodic variations of the K⁺ conductance g _K, governed by the known operation of a metabolic substrate cycle are introduced. The close approximation of experimentally observed impulse bursts requires that the actual inpulse-frequency and the amplitude of the after-spike hyperpolarization are determined by the temporal pattern of g _Na, while the spike amplitude is controlled by g _Na which (although of similar time course) is lagging in phase behing g _Na. The periodic changes in additional K⁺ conductance g _K, are responsible for burst termination and the changes in inter-burst interval, to the effect that spike doublets, triplets and multi-spike bursts can be simulated by a suitable choice for the time characteristics of g _K. The model makes use of the finding that the Ca²⁺ inflow associated with a spike discharge actually activates g _K, so that large postburst hyperpolarizations can be obtained in high-frequency bursts.Supported by the Deutsche Forschungsgemeinschaft (Grant Ch 25/1)     

Adrenergic regulation of ion transport by primary cultures of canine tracheal epithelium: Cellular electrophysiology

Summary We examined the effect of adrenergic agents on the cellular electrical properties of primary cultures of canine tracheal epithelium. Both isoproterenol and epinephrine stimulated Cl secretion, as evidenced by an increase in transepithelial voltage and a fall in transepithelial resistance. Moreover, both agents appear to increase the conductance of apical and basolateral membranes. However, the pattern of response was different. Isoproterenol initially depolarized apical voltage _a and decreased the fractional resistance of the apical membranef _R. These changes are consistent with an initial increase in apical Cl conductance. In contrast, epinephrine acutely hyperpolarized _a and increasedf _R, changes consistent with an initial increase in basolateral K conductance. Following the acute effect of epinephrine, _a depolarized andf _R decreased to values not significantly different from those observed with isoproterenol. The acute increase in basolateral K conductance produced by epinephrine appeared to result from stimulation of adrenergic receptors because it was reproduced by addition of the agonist phenylephrine, and blocked by the antagonist phentolamine. The ability of prazosin but not yohimbine to block the acute epinephrine-induced increase in K permeability indicates the presence of ₁ adrenergic receptors. The acute adrenergic-induced increase in basolateral K conductance may be mediated by an increase in cell Ca because the response was mimicked by addition of the Ca ionophore A23187. In contrast, the response to isoproterenol was similar to that observed with addition of 8-bromo-cAMP and theophylline. These results indicate that both and adrenergic agents mediate the ion transport processes in canine tracheal epithelium. adrenergic agents have their primary effect on the apical Cl conductance, probably via an increase in cAMP. adrenergic agents exert their primary effect on the basolateral K conductance, possibly via an increase in cell Ca.     

Intracellular sodium activity and sodium transport inNecturus gallbladder epithelium

Summary Ion-sensitive glass microelectrodes, conventional microelectrodes and isotope flux measurements were employed inNecturus gallbladder epithelium to study intracellular sodium activity, [Na] _i , electrical parameters of epithelial cells, and properties of active sodium transport. Mean control values were: [Na] _i : 9.2 to 12.1mm; transepithelial potential difference, _ms : –1.5 mV (lumen negative); basolateral cell membrane potential, _es : –62 mV (cell interior negative); sodium conductance of the luminal cell membrane,g _Na: 12 mho cm^–2; active transcellular sodium flux, 88 to 101 pmol cm^–2 sec^–1 (estimated as instantaneous short-circuit current). Replacement of luminal Na by K led to a decrease of the intracellular sodium activity at a rate commensurate to the rate of active sodium extrusion across the basolateral cell membrane. Mucosal application of amphotericin B resulted in an increase of the luminal membrane conductance, a rise of intracellular sodium activity, and an increase of short-circuit current and unidirectional mucosa to serosa sodium flux. Conclusions: (i) sodium transport across the basolateral membrane can proceed against a steeper chemical potential difference at a higher rate than encountered under control conditions; (ii) the luminal Na-conductance is too low to accommodate sodium influx at the rate of active basolateral sodium extrusion, suggesting involvement of an electrically silent luminal transport mechanism; (iii) sodium entry across the luminal membrane is the rate-limiting step of transcellular sodium transport and active sodium extrusion across the basolateral cell membrane is not saturated under control conditions.     

Defining patch contribution in source-sink metapopulations: the importance of including dispersal and its relevance to marine systems

In metapopulations, individual patch contribution (source or sink) is typically calculated as a patch growth rate (the intrinsic lambda, _I) dependent only upon local demographics. We demonstrate that when dispersal is explicitly included in the model, the growth rates for all patches calculated in an analogous manner (the observed lambda, _O) equilibrate to the overall metapopulation growth rate and thus no longer serve as a useful reflection of the demographic and dispersive characteristics of a given patch. In these situations we suggest an alternative method of estimating patch contribution (the contribution lambda, _C) in which a patch is decremented for losses that occur within it and credited for gains that occur anywhere in the metapopulation because of it. We compare values of _I, _O, and _C for individual patches in discrete-time density-independent metapopulation models of two organisms with very different life histories, mayflies with adult dispersal, and reef fish with larval dispersal. Results confirm that when dispersal is included only _C clearly indicates the contribution of a particular patch. _I–_C comparisons indicate that inclusion of dispersal in the mayfly model was only important if connectivity patterns were random or directional. In the reef fish model, however, results were very different when dispersal was included and there were many cases of patches being misidentified (e.g., as a source when it was really a sink) depending upon the metric used (_I or _C). Our results demonstrate the importance of including dispersal in metapopulation models when considering the contribution of individual patches.     

Subthreshold outward currents enhance temporal integration in auditory neurons

Many auditory neurons possess low-threshold potassium currents (I _KLT ) that enhance their responsiveness to rapid and coincident inputs. We present recordings from gerbil medial superior olivary (MSO) neurons in vitro and modeling results that illustrate how I _KLT improves the detection of brief signals, of weak signals in noise, and of the coincidence of signals (as needed for sound localization). We quantify the enhancing effect of I _KLT on temporal processing with several measures: signal-to-noise ratio (SNR), reverse correlation or spike-triggered averaging of input currents, and interaural time difference (ITD) tuning curves. To characterize how I _KLT , which activates below spike threshold, influences a neurons voltage rise toward threshold, i.e., how it filters the inputs, we focus first on the response to weak and noisy signals. Cells and models were stimulated with a computer-generated steady barrage of random inputs, mimicking weak synaptic conductance transients (the noise), together with a larger but still subthreshold postsynaptic conductance, EPSG (the signal). Reduction of I _KLT decreased the SNR, mainly due to an increase in spontaneous firing (more false positive). The spike-triggered reverse correlation indicated that I _KLT shortened the integration time for spike generation. I _KLT also heightened the models timing selectivity for coincidence detection of simulated binaural inputs. Further, ITD tuning is shifted in favor of a slope code rather than a place code by precise and rapid inhibition onto MSO cells (Brand et al. 2002). In several ways, low-threshold outward currents are seen to shape integration of weak and strong signals in auditory neurons.     

Membrane-potential changes in vacuoles isolated from storage roots of red beet (Beta vulgaris L.)

The membrane potential in vacuoles isolated from storage roots of red beet (Beta vulgaris L.) has been studied by following changes in the fluorescence of the dye 3,3-diethylthiodicarbocyanine iodide, and by determining the uptake of the lipophilic triphenylmethylphosphonium cation. The vacuoles have a membrane potential, internal negative, which is estimated to be around-60 mV. These potentials become less negative by nearly 10 mV on addition of ATP. This ATP-dependent depolarisation is inhibited by the protonophore carbonylcyanide p-trifluoromethoxyphenylhydrazone and by the ATPase inhibitors, N,N-dicyclohexylcarbodiimide and trimethyltin chloride, but it is largely insensitive to sodium orthovanadate. Fusicoccin had no significant effect on the isolated vacuoles, but its addition to excised tissue caused a hyperpolarisation of the cells measured using a microelectrode.Abbreviations DCCD N,N-dicyclohexylcarbodiimide - DiS-C₂-(5) 3,3-diethylthiodicarbocyanine iodide - FCCP carbonylcyanide p-trifluoromethoxyphenylhydrazone - TPMP⁺ triphenylmethylphosphonium ion     

Cell recycling studies for α-amylase production by Bacillus amyloliquefaciens

Production of -amylase by a strain of Bacillus amyloliquefaciens was investigated in a cell recycle bioreactor incorporating a membrane filtration module for cell separation. Experimental fermentation studies with the B. amyloliquefaciens strain WA-4 clearly showed that incorporating cell recycling increased -amylase yield and volumetric productivity as compared to conventional continuous fermentation. The effect of operating conditions on -amylase production was difficult to demonstrate experimentally due to the problems of keeping the permeate and bleed rates constant over an extended period of time. Computer simulations were therefore undertaken to support the experimental data, as well as to elucidate the dynamics of -amylase production in the cell recycle bioreactor as compared to conventional chemostat and batch fermentations. Taken together, the simulations and experiments clearly showed that low bleed rate (high recycling ratio) various a high level of -amylase activity. The simulated fermentations revealed that this was especially pronounced at high recycling ratios. Volumetric productivity was maximum at a dilution rate of around 0.4 h^–1 and a high recycling ratio. The latter had to exceed 0.75 before volumetric productivity was significantly greater than with conventional chemostat fermentation.List of Symbols a proportionality constant relating the specific growth rate to the logarithm of G (h) - a ₁ reaction order with respect to starch concentration - a ₂ reaction order with respect to glucose concentration - B bleed rate (h^–1) - C starch concentration (g/l) - C ₀ starch concentration in the feed (g/l) - D dilution rate (h^–1) - D _E volumetric productivity (KNU/(mlh)) - e intracellular -amylase concentration (g/g cell mass) - E extracellular -amylase concentration (KNU/ml) - F volumetric flow rate (l/h) - G average number of genome equivalents of DNA per cell - k _l intracellular equilibrium constant - k ₂ intracellular equilibrium constant - k _s Monod saturation constant (g/l) - k ₃ excretion rate constant (h^–1) - k _d first order decay constant (h^–1) - k _gl rate constant for glucose production - k _st rate constant for starch hydrolysis - k _t1 proportionality constant for -amylase production (gmRNA/g substrate) - k ₁ translation constant (g/(g mRNAh)) - KNU kilo Novo unit - m maintenance coefficient (g substrate/(g cell massh)) - n number of binding sites for the co-repressor on the cytoplasmic repressor - Q repression function K₁/K₂Q1.0 - R ratio of recycling - R _s rate of glucose production (g/lh) - r _c rate of starch hydrolysis (g/(lh)) - R _eX retention by the filter of the compounds X: starch or -amylase - r intracellular -amylase mRNA concentration (g/g cell mass) - r _C volumetric productivity of starch (g/lh) - r _E volumetric productivity of intracellular -amylase (KNU/(g cell massh)) - r _r volumetric productivity of intracellular mRNA (g/(g cell massh)) - r _e volumetric productivity of extracellular -amylase (KNU/(mlh)) - r _s volumetric productivity of glucose (g/(lh)) - r _X volumetric productivity of cell mass (g/(lh)) - S ₀ free reducing sugar concentration in the feed (g/l) - S extracellular concentration of reducing sugar (g/1) - t time (h) - V volume (l) - X cell mass concentration (g/l) - Y yield coefficient (g cell mass/g substrate) - Y _E/S yield coefficient (KNU -amylase/g substrate) - Y _E total amount of -amylase produced (KNU) - substrate uptake (g substrate/(g cell massh)) - specific growth rate of cell mass (h^–1) - _d specific death rate of cells (h^–1) - _m maximum specific growth rate of cell mass (h^–1) This study was supported by Bioprocess Engineering Programme of the Nordic Industrial Foundation and the Center for Process Biotechnology, the Technical University of Denmark.     

A model for refractoriness accumulation and secondary range firing in spinal motoneurones

A model is presented in which the potassium conductance (G _K ) changes responsible for the afterhyperpolarization (AHP) in motoneurones are postulated to follow a kinetics coherent with Hodgkin-Huxley membrane model. Such G _K kinetics, which operates as a bistable system switched from one state to the other by the action potential, can be expressed by simple analytical expressions if the spike is approximated to a rectangular pulse. Accumulation of G _K by repetitive activation of the model accurately describes the different features of AHP summation in motoneurones; moreover, this accumulation process enables a model for repetitive firing of motoneurones to display secondary range firing at steady state.     

The effect of pH on the heat production and membrane resistance of Streptococcus bovis

Non-growing cultures of Streptococcus bovis JB1 which were incubated in 2-[N-moropholino] ethane-sulfonic acid (MES)-phosphate buffer (pH 6.8) and glucose (2 g/l) produced heat at a rate of 0.17 mW/mg protein, and this rate was proportional to the enthalpy change of the homolactic fermentation. Since the growth-independent heat production could be eliminated by dicyclohexylcarbodiimide (DCCD), an inhibitor of F₁F₀ ATPases, it appeared that virtually all of the energy was being used to counteract proton flux through the cell membrane. When the pH was decreased from 6.8 to 5.8, heat production and glucose consumption increased, the electrical potential () declined, the chemical gradient of protons (ZpH) increased, and there was a small increase in total protonmotive force (p). Further decreases in pH (5.8 to 4.5) caused a marked decrease in heat production and glucose consumption even though there was only a small decline in membrane voltage. Based on the enthalpy of ATP (4 kcal or 16.8 kJ/mol), it appeared that 38% of the wattage was passing through the cell membrane. The relationship between membrane voltage and membrane wattage or glucose consumption was non-linear (non-ohmic), and it appeared that the resistance of the membrane to current flow was not constant. Based on the electrical formula, resistance = voltage²/wattage and resistance = voltage/amperage, there was a marked increase in membrane resistance when the pH was less than 6.0. The increase in membrane resistance at low pH allowed S. bovis to maintain its membrane potential and expend less energy when its ability to ferment glucose was impaired.Abbreviations DCCD dicyclohexylcarbodiimide - MES 2-[N-moropholino] ethanesulfonic acid