Comparison of models for subtractive and shunting lateral-inhibition in receptor-neuron fields

Summary Two types of neuronal lateral inhibition in one-dimensional fields of receptors and neurons are considered. The first type, which has been demonstrated in the eye of Limulus, is called subtractive inhibition (SI): it assumes that neuronal activity depends on the difference between the total excitation and inhibition. The second type is called shunting inhibition (SHI): it assumes that inhibitory influences cause a shunting of a portion of the excitation-produced depolarizing current. Consideration of the shunting model is dictated by its considerable physiological plausibility. The actions of SI and SHI, examined for a variety of coupling conditions and time-stationary positive inputs, are shown to be markedly different. The results indicate that SI is most suited for obtaining (1) a linearity between input and output, (2) a contrasting effect that does not depend on the presence of input discontinuities, and (3) contrasting whose degree is independent of input amplitude. SI is especially useful if coupling coefficients can be varied to accommodate the various input form functions or if, for fixed coupling coefficients, the class of input form functions is limited. On the other hand SHI appears most suited for obtaining (1) a nonlinear input-output relation, (2) a relative contrasting only of discontinuities, and (3) a dependence of the contrasting upon input amplitude.List of Main Symbols a coupling coefficient for neighboring units, also called coupling amplitude - V _j output of receptor number j - i _j generator current of neuron number j - g inhibitory function for subtractive inhibition - h inhibitory function for shunting inhibition - v ₂/v ₁ [applies to two-unit case] - N _k neuron number k - I _k total source current produced by excitatory influences on N _k - G _k conductance for source current not shunted (with shunting inhibition) - i portion of source current shunted as a result of inhibition - m number of inhibitory influences [in Eq. (1)] - G _kj conductance of inhibitory shunt path j for neuron N _k - q number of receptors - n number of neurons - R _j receptor number j - x distance - y(x) input stimulus to receptors - y _j =y(x _j ) input stimulus to receptor R _j - v _j v_j for v _j 0, zero otherwise - a _kj G _kj /v _j , inhibitory coupling coefficient for forward shunting inhibition [refer to Eq. (2)] - b _kj excitatory coupling coefficient for contribution to source current of neuron N _k by receptor R _j [refer to Eq. (3)] - i _j i _j for i _j 0, zero otherwise - c _kj G _kj /i _j , inhibitory coupling coefficient for backward shunting inhibition [refer to Eq. (4)] - â _kj inhibitory coupling coefficient for forward subtractive inhibition [refer to Eq. (5)] - _kj inhibitory coupling coefficient for backward subtractive inhibition [refer to Eq. (6)] - y(x _j )=Af(x _j ) sensory input function - A input amplitude - f(x _j ) sensory input form function, also called a sensory image - i(x _j ) generator current output of neuron Nj which is located at x=x _j - y (y ₁, y ₂, ..., y _n), a column vector - i (i ₁, i ₂, ..., i _n), a column vector, also called generator current configuration - a an n by n matrix having a _kj as the term in the k-th row, j-th column - U the unit matrix - d ¦k-j¦, separation between neurons N _k and N _j - a a _kj for d=1, called coupling amplitude - SI subtractive inhibition - SHI shunting inhibition - FSI forward subtractive inhibition - BSI backward subtractive inhibition - FSHI forward shunting inhibition - BSHI backward shunting inhibition - s i/i ₅₁ = (s ₁, s ₂, ..., s _n), normalized generator current vector, also called normalized generator current configuration - s _j i _j/i ₅₁, normalized generator current of neuron N _j - f(x) continuous input form function of which f(x _j ) is a sampled version - ^p f(x)/x ^p p-th order derivative of f(x)     

Simulation of chaotic EEG patterns with a dynamic model of the olfactory system

The main parts of the central olfactory system are the bulb (OB), anterior nucleus (AON), and prepyriform cortex (PC). Each part consists of a mass of excitatory or inhibitory neurons that is modelled in its noninteractive state by a 2nd order ordinary differential equation (ODE) having a static nonlinearity. The model is called a KO_e or a KO_t set respectively; it is evaluated in the open loop state under deep anesthesia. Interactions in waking states are represented by coupled KO sets, respectivelyKI _e (mutual excitation) andKI _i (mutual inhibition). The coupledKI _e andKI _i sets form aKII set, which suffices to represent the dynamics of theOB, AON, andPC separately. The coupling of these three structures by both excitatory and inhibitory feedback loops forms aKIII set. The solutions to this high-dimensional system ofODEs suffice to simulate the chaotic patterns of the EEG, including the normal low-level background activity, the high-level relatively coherent bursts of oscillation that accompany reception of input to the bulb, and a degenerate state of an epileptic seizure determined by a toroidal chaotic attractor. An example is given of the Ruelle-Takens-Newhouse route to chaos in the olfactory system. Due to the simplicity and generality of the elements of the model and their interconnections, the model can serve as the starting point for other neural systems that generate deterministic chaotic activity.Supported by a grant MH06686 from the National Institute of Mental Health     

A self-dual network derived from a single neuronic equation

A model of a neuron with memory was viewed from the realibizability of a given periodic sequence of typeR _n R _n =u ₁ u ₂...u _{n 1 2}... _n(u _j = 0 or 1, _j = 1 –u _j). It is easily shown that the periodic sequenceR _n R _n is always obtained as an output of the model with memory of lengthn. However it is not so easy to decide the realizability of the given sequence in the case of the memory of length less thann. The necessary and sufficient condition for the realizability was given in a practical form. The condition is concerned with the determinant of a matrix associated with the given sequence.     

The expression of I-Ed molecules in F1 hybrid mice detected with antigen-specific,I-Ed-restricted cloned T-cell lines

The expression of polymorphic determinants on I-E molecules is largely dependent on allelic variation in the E chain. We have previously analyzed the expression of E ^k and E ^b chains in F₁ hybrid mice by a combination of techniques, and have shown that functional variation detected by the responsiveness of cloned T-cell lines specific for these molecules correlates well with serological determination of E expression. In the present study, we have extended our analysis to E ^d expression in F₁ hybrid mice. We show that E ^d is relatively poorly expressed in three F₁ combinations: H-2 ^d× H-2 ^b, H-2 ^d× H-2 ^s, and H-2 ^d× H-2 ^u. The former two crosses express E chains from the H-2 ^dparent only; when recombinant strains carrying E ^b or E ^s and an active E gene are used, E ^d expression is significantly increased. On the other hand, H-2 ^umice synthesize E chains; the poor expression of E ^d chains in this F₁ hybrid apparently reflects the strong preferential association of E ^u chains with all E molecules thus far analyzed. These results confirm that E chains compete for binding to E chains and that preferential association of different allelic forms of E chains with E chains is a generalized phenomenon. They also illustrate the importance of the rate of biosynthesis of Ia chains for cell-surface expression.     

Cloned T cells recognize Trichinella spiralis antigen in association with an Ek βEk α restriction element

A method is described for the production of T-cell lines and clones specific for solubilized Trichinella spiralis antigens. hese T cells are antigen-specific and do not respond to challenge with a third party antigen (lysozyme). The proliferation responses of the cloned T cells are specifically inhibited by anti-I-E but not by anti I-A subregion monoclonal reagents. The inhibition patterns obtained are consistent with cis-gene complementation in B10.K cells involving the E^k -chain and the E^k -chain of the I-E molecule. Inhibition is obtained with an E^k -specific monoclonal antibody (H9-14.8) but not with an A^k -specific monoclonal antibody (10-2.16). Inhibition was also observed with Ia.7-specific (H40-242) or Ia.22-specific (17-3-3) monoclonal antibodies. The inhibition patterns were confirmed by antigen presentation experiments using recombinant inbred mice. Only B 10.K (E^k E^k spleen cells and not B 10.A(5R) (E^b E^k ) or B10.S(9R) (E^s E^k ) spleen cells could effectively present T. spiralis antigens. The role of hybrid Ia molecules in the immune response to T. spiralis is discussed.     

Thermodynamic and kinetic considerations of Q-cycle mechanisms and the oxidant-induced reduction of cytochromesb

In coenzyme Q-cycles, it is proposed that one electron from the quinol reduces the Rieske iron sulfur center (E _m280 mV) and the remaining electron on the semiquinone reduces cytochromeb _T (E _m–60 mV). TheE _mfor the two-electron oxidation of the quinol is 60 mV and therefore the reduction of cytochromeb _T by quinol is not favorable. As the stability constant for the dismutation of the semiquinone decreases, the calculatedE _mfor the Q/QH couple is lowered to values below theE _mof cytochromeb _T. Contemporary coenzyme Q-cycles are based on the belief that the lower value for theE _mof the Q/QH couple compared to theE _mfor cytochromeb _T means that the semiquinone is a spontaneous reducing agent for theb-cytochrome. The analysis in the paper shows that this is not necessarily so and that neither binding sites nor ionization of the semiquinoneper se alters this situation. For a Q-cycle mechanism to function,ad hoc provisions must be made to drive the otherwise unfavorable reduction of cytochromeb _T by the semiquinone or for the simultaneous transfer of both electrons to cytochromeb _T and cytochromec ₁ (or the iron sulfur protein). Q-cycle mechanisms with these additional provisions can explain the observation thus far accumulated. A linear path which is functionally altered by conformational changes may also explain the data.     

Structural comparisons of serologically identical IA- and IE-encoded antigens from inbred and wild mice

The IA and IE products of B10.S(9R), B10.A, B10.KPB128, and B10.GAA37 were analyzed for primary structural variations by comparative tryptic peptide mapping. The A,A , andE products of B10.S(9R) and B10.A differed in about 40% of their acid-soluble tryptic peptides, indicating that intra-I-region recombinant strain B10.S(9R) received the genes encoding A, A, and E from theH- 2 ^s parental chromosome rather than fromH- 2 ^a . The tryptic peptides of E chains from B10.S(9R) and B10.A were indistinguishable, suggesting that B10.S(9R) received the gene encoding the E chain from theH- 2 ^a parental chromosome. Consistent with the results of others, these data suggest that the genes encodingA ,A and E chains are centromeric to theIJ subregion, while the gene encoding E chains is telomeric toIJ. The I-region products of two congenic lines carrying wild-derivedH- 2 haplotypes on a C57BL/10 background, designated B10.KPB128 and B10.GAA37, are serologically indistinguishable from those of B10.S(9R). The IA and IE products of B10.S(9R) were compared with those of B10.GAA37 and B10.KPB128 to determine the structural similarity of serologically identical products from allopatric populations of wild mice. The A,A , and E products of B10.S(9R) were indistinguishable from those of B10.GAA37 and B10.KPB128 by comparative tryptic peptide mapping. The E chains of these three lines differed in one or two of their acid-soluble tryptic peptides. The results indicate that the IA-encoded products of these three lines are structurally very similar and may be identical suggesting that some alleles of the A, A, and E chains may be maintained in stable linkage associations in allopatric populations of wild mice. The minor structural variations detected in the E chains of these three congenic lines indicate that the E chain is encoded by chromosome 17 and suggest that allelic E chains exhibit considerably less structural variability than other I-region encoded antigens.     

Effect of auxin and abscisic acid on cell wall extensibility in maize coleoptiles

Plastic and elastic in-vitro extensibilities (E _pland E _el ) of cell walls from growing maize (Zea mays L.) coleoptile segments were measured by stretching frozen-thawed tissue, pre-extended to its in-vivo length, at constant force (creep test) in a custom-buildt extensiometer, equipped with a linear-displacement transducer. The indole-3-acetic acid (IAA)-induced change of E _pl (E _pl ) is strictly correlated with the growth rate for a period of 3–4 h. Subsequently, E _plremains constant while the growth rate is slowing down. Since this discrepancy can be accounted for by a growth-dependent reduction of osmotic pressure, it is concluded that E _plrepresents quantitatively the relative increase of in-vivo extensibility (cell wall loosening) involved in IAA-mediated cell growth over a much longer time. On the other side it is argued that the growth rate may not be strictly correlated with wall extensibility during long-term growth. Abscisic acid (ABA) inhibits segment growth induced by auxin, fusicoccin, or exogenous acid, and this effect can be quantitatively attributed to an ABA-mediated reduction of cell wall extensibility as determined by the E _plmeasurement. Both, IAA and ABA have no effect on total protein synthesis, RNA synthesis, and amount of osmotic solutes. Fusicoccin-induced proton excretion is only slightly inhibited by ABA. In contrast to ABA, growth inhibition by cycloheximide (CHI) is always much larger than the concomitant reduction of E _pl , indicating that a further growth parameter is also involved in the inhibition of cell growth by CHI. E _el is not affected by either IAA, ABA, or CHI. It is concluded that E _pl as determined by the applied method, represents a relative measure of the actual in-vivo extensibility of the growing cell wall at the very moment when the tissue is killed, rather than an average extensibility accumulated over some immediate-past period of time as suggested by Cleland (1984, Planta 160, 514–520). Hence, we further draw the conclusion that IAA and ABA control of cell growth can entirely be attributed to a modulation of cell wall extensibility by these hormones in maize coleoptiles.Abbreviations ABA ±abscisic acid - CHI cycloheximide - E _el , E_pl elastic and plastic in vitro extensibilities, respectively (E _el+E_pl=E_tot>) - FC fusicoccin - IAA indole-3-acetic acid     

Distance-constraint approach to higher-order structures of globular proteins with empirically determined distances between amino acid residues

An analysis of higher-order structures of globular proteins by means of a distance-constraint approach is presented. Conformations are generated for each of 21 test proteins of small and medium sizes by optimizing an objective functionf=w _ij(d _ij–d _ij)², whered _ij is a distance between residuesi andj in a calculated conformation, d _ij is an assigned distance to the (ij) pair of residues which is determined based on the statistics of known three-dimensional structures of 14 proteins in the earlier study, andw _ij is a weighting factor. d _ij involves information about hydrophobicity and hydrophilicity of each amino acid residue and about connectivity of a polypeptide chain. In these calculations, only the amino acid sequence is used as input data specific to a calculated protein. With respect to higher-order structures regenerated in the optimized conformations, the following properties are analyzed: (a) N14 of a residue, defined as the number of residues surrounding the residue located within a sphere of radius of 14 Å; (b) root-mean-square differences of the global and local conformations from the corresponding X-ray conformations; (c) distance profiles in the short and medium ranges; and (d) distance maps. The effects of supplementary information about locations of secondary structures and disulfide bonds are also examined to discuss the potential ability of this methodology to predict the three-dimensional structures of globular proteins.     

Regulation of anaerobic respiratory pathways in Wolinella succinogenes by the presence of electron acceptors

In Wolinella succinogenes ATP synthesis and consequently bacterial growth can be driven by the reduction of either nitrate (E₀=+0.42 V), nitrite (E₀=+0.36 V), fumarate (E₀=+0.03 V) or sulphur (E₀=-0.27 V) with formate as the electron donor. Bacteria growing in the presence of nitrate and fumarate were found to reduce both acceptors simultaneously, while the reduction of both nitrate and fumarate is blocked during growth with sulphur. These observations were paralleled by the presence and absence of the corresponding bacterial reductase activities. Using a specific antiserum, fumarate reductase was shown to be present in bacteria grown with fumarate and nitrate, and to be nearly absent from bacteria grown in the presence of sulphur. The contents of polysulphide reductase, too, corresponded to the enzyme activities found in the bacteria. This suggests that the activities of anaerobic respiration are regulated at the biosynthetic level in W. succinogenes. Thus nitrate and fumarate reduction are repressed by the most electronegative acceptor of anacrobic respiration, sulphur. By contrast, in Escherichia coli a similar effect is exerted by the most electropositive acceptor, O₂. W. succinogenes also differs from E. coli in that fumarate reductase is not repressed by nitrate.Abbreviations BV benzyl viologen - DMN 2,3-dimethyl-1,4-naphthoquinone - DMSO dimethylsulfoxide - TMAO trimethylamine-N-oxide     

Spontaneous excitatory postsynaptic currents in crayfish neuromuscular junctions in the absence and presence of serotonin and 3,4-diaminopyridine

Summary Spontaneous excitatory postsynaptic currents (sEPSCs) were recorded under voltage clamp in short fibres (l0.6mm) from opener muscles and the contractor epimeralis muscle of small crayfish. From the amplitude distributions of sEPSCs which could be approximated by a Gaussian function, a mean amplitudeã= –1.16 nA±0.28 (SE) was found for sEPSCs in 16 fibres of the claw opener voltage clamped toE=–60 mV (19–22 °C). In the opener of the first walking leg and in the contractor epimeralis muscleã=s-1.1 nA±0.21 (SE;n= 6, –100 mVE–60 mV, 5–10 °C) andã= –2.0 nA±0.2 (SE;n=4, E=–60 mV, 19–22 °C) were obtained. On average about 300–500 synaptic channels were estimated to open during a sEPSC. Giant sEPSCs (gsEPSCs) were also observed. The amplitudes of gsEPSCs were up to 14 times larger than the amplitude of an average normal sEPSC. Moreover, the lifetime of gsEPSCs was up to about 3 times longer than that of sEPSCs. Like sEPSCs, gsEPSCs could not be abolished by 0.1 mol/l tetrodotoxin. The rate at which sEPSCs and gsEPSCs occurred could be markedly enhanced by serotonin (1 mol/l) and 3,4-diaminopyridine (1 mol/l)Abbreviations sEPSCs spontaneous excitatory postsynaptic currents - gsEPSCs giant spontaneous excitatory postsynaptic currents - sIPSCs spontaneous inhibitory postsynaptic currents - gsIPSCs giant spontaneous inhibitory postsynaptic currents - 5-HT 5-hydroxytryptamine - 3,4-DAP 3,4-diaminopyridine - time constant of exponential decay of sEPSCs or gsEPSCs - t _B50 lifetime of sEPSCs or gsEPSCs given by the width of these currents at 50% of their amplitude; ã amplitude of sEPSCs or gsEPSCs - i current amplitude evoked by opening of single glutamate-activated channels - z number of channels open at the peak of an average sEPSC This investigation was supported by the Deutsche Forschungsgemeinschaft. Project Fi 305/1-3     

Mixing time in a down-flow jet loop bioreactor

Mixing time was determined in a down-flow jet loop bioreactor with Newtonian and non-Newtonian fluids. It was observed that the mixing time decreased with an increase in linear liquid velocity, superficial gas velocity, draft tube to column diameter ratio, nozzle diameter and shear thinning of media. The optimum draft tube to column diameter ratio was found to be about 0.44. Correlations were presented for prediction of mixing time.List of Symbols A m² cross sectional area of the column - C kmol/m³ local tracer concentration - A _D m² flow area,A _D =/4 (D _Z ² -D _TO ² ) - D m column diameter - D _E m draft tube diameter - D _TO m outside diameter of the air tube - D _TFL m equivalent flow diameter,D _TFL =(D _Z ² -D _TO ² )^0.5 - D _z m nozzle diameter - g m/s² gravitational acceleration - h % inhomogeneity - H m height of the column - H _B m distance between the lower edge of the draft tube and the impact plate - H _T m distance between the upper edge of the draft tube and the liquid nozzle - K Pa.sⁿ consistency index in power-law model - L _E m length of the draft tube - n flow index in the power-law model - Re _j jet Reynolds number,Re _j =(D _TFL×w₁×_L)/ _eff - t _M s mixing time - t _sg m/s superficial gas velocity based onA - W _l m/s linear liquid velocity based onD _D Greek Letters N/m² shear stress - s shear rate - kg/m³ density of liquid - N/m surface tension of the liquid - Pa.sⁿ viscosity of liquid Indices X concentration at infinite time maximum value of tracer concentration - eff effective - L Liquid - obs observed - pred Predicted     

Is the Voltage Gate of Connexins CO<Subscript>2</Subscript>-sensitive? Cx45 Channels and Inhibition of Calmodulin Expression

The sensitivity of Cx45 channels to CO₂, transjunctional voltage (V _j) and inhibition of calmodulin (CaM) expression was tested in oocytes by dual voltage clamp. Cx45 channels are very sensitive to V _j and close with V _j preferentially by the slow gate, likely to be the same as the chemical gate. With a CO₂-induced drop in junctional conductance (G _j), both the speed of V _j-dependent inactivation of junctional current (I _j) and V _j sensitivity increased. With 40-mV V _j-pulses, the of single exponential I _j decay reversibly decreased by 40% during CO₂ application, and G_{j steady state}/G_{j peak} decreased multiphasically, indicating that both kinetics and V _j sensitivity of chemical/slow V _j gating are altered by changes in [H⁺]_i and/or [Ca²⁺]_i. CaM expression was inhibited with oligonucleotides antisense to CaM mRNA. With 15 min CO₂, relative junctional conductance (G _jt/G _jt0) dropped to 0% in controls, but only by 17% in CaM-antisense oocytes. Similarly, V _j sensitivity was significantly lessened in CaM-antisense oocytes. The data indicate that both the speed and sensitivity of V _j-dependent inactivation of the junctional current of Cx45 channels are affected by CO₂ application, and that CaM plays a key role in channel gating.     

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.     

Characteristic Features of EEG Spectral Characteristics in Persons with Deviant Sexual Behavior

The study was performed with participation of 59 right-handed men. The normal group consisted of 19 subjects, and 40 patients with organic brain lesions who had commited sexual offenses were divided into two groups: 19 patients with a diagnosis of paraphilia (pathology of sexual drive) made up the main test group, and 21 patients without such a diagnosis formed the control group. A monopolar EEG was recorded in 16 standard leads in the states of rest (eyes closed) and general activation (eyes open) and during presentation of cognitive tests. The following EEG features manifest in all the frequency ranges and functional states were revealed in the group of patients with paraphilias as compared to the control groups: a substantially increased level of interhemispheric coherence (ICoh) and increased spectral density in the posterotemporal area (T ₅, T ₆), a significantly decreased ICoh level between the F _3/4 and C _3/4 leads in the frontocentral area, and lower spectral densities in the leads Fp ₂, C ₄, and P ₄. Analysis of reactions to loads presented showed that the general arousal in the group of patients with paraphilias was characterized by significantly greater shifts of EEG parameters associated with the desynchronization reaction (as compared to the control groups) and statistically significant disorders of interhemispheric interaction and EEG reactivity in the right hemisphere in the range during performance of a visuospatial (right-hemispheric) task. The results suggest the formation of a stationary activation focus in the right hemisphere with signs of involvement of the limbic structures in patients with paraphilias.     

Theoretical studies on the necessary number of components in mixtures

Summary Theoretical studies on the necessary numbers of components in mixtures (for example multiclonal varieties or mixtures of lines) have been performed according to the relations between the juvenile-mature correlations of mixtures and their number of components. For the juvenile-mature correlation r_E based upon the values of the single components (= component means at juvenile and mature ages) and the juvenile-mature correlation r_M based upon the means of mixtures of different components we usually will have r_M>r_E. Furthermore, r_M will increase with an increasing number of components in the mixtures. The effectiveness of an early selection will be mainly determined by the magnitude of the juvenile-mature correlation. If we have r_M>r_E an improvement of early testing can be realized by using mixtures instead of single components. But, what are the necessary numbers of components so that r_M will be sufficiently high to enable an effective early selection of mixtures? Some relations between r_E and r_M can be obtained and conclusions have been derived.The statistical approach significant difference between r_E and r_M for a given numerical value of r_M leads to estimates for the necessary number n of components dependent on r_M, , r_E and N where: N = total number of components, which are available for the composition of mixtures and = error probability. For different tree species r_E can be estimated by an appropriate formula which depends on T with T = time (in years) from planting date until the mature age.Lambeth's formula, for example, has been developed for height growth in pines. For this situation numerical calculations are performed using r_M=0.90 and =0.05. The necessary numbers n for T=5, T=10, T=20 and T=50 are: 6, 9, 10 and 12 (for N=50); 13, 17, 20 and 23 (for N=100); 26, 34, 40 and 46 (for N=200); 38, 51, 60 and 69 (for N=300); 64, 85, 100 and 114 (for N=500) and 128, 171, 199 and 228 (for N=1,000). The dependence of these necessary numbers n of components on different type I errors and different levels of r_M have been investigated numerically.     

Diurnal and Seasonal Patterns of Water Potential,Photosynthesis, Evapotranspiration and Water Use Efficiency of Clusterbean

Diurnal patterns of leaf water potential (_W), canopy net photosynthetic rate (P _N), evapotranspiration rate (E), canopy temperature (T_c), and water use efficiency (WUE) of clusterbean [Cyamopsis tetragonoloba (L.) Taub., cv. Desi] were studied at six phenological stages of plant development under field conditions at CCS Haryana Agricultural University, Hisar. The highest P _N, E, and WUE were observed at pod initiation stage (61 DAS). Daily maxima of P _N were usually between 11:00 to 14:00 h while those of E and WUE between 12:30 and 16:00 h. P _N was mainly dependent on photosynthetically active radiation and E on air temperature (T_a) but the relationships varied at different growth stages. WUE declined with the increase in T _a. At mid-day, _W was highest during pod initiation.     

Analysis of the equine lymphocyte antigen system by Southern blot hybridization

Fourteen Standardbred horses homozygous for one of six equine lymphocyte antigen (ELA) specificities (A1, A3, A4, A5, A6, or A10) were analyzed by Southern blot hybridization using DNA probes derived from the mouse major histocompatibility complex (MHC). Total genomic DNA from peripheral lymphocytes was digested with the restriction enzymes Hind III, Pvu II, or Eco RI. Twenty-three to thirty-three bands were generated for individual horses with the class I cDNA probe. The resulting band patterns revealed 12-14 nonpolymorphic fragments, which is consistent with the highly conservedQa/Tla genes seen in other species. The remaining 10–19 bands displayed significant polymorphism; no two animals had identical band patterns when studied with all three enzymes. The polymorpism was markedly decreased between animals of the same ELA serotypes. Unique bands were identified in both Al horses and all four A6 animals. Pvu II digestions of lymphocyte DNA were hybridized with mouse MHC class II probes. A cDNA probe for theE gene revealed only a single nonpolymorphic band. In contrast, a cDNA probe for theH-2 A locus displayed three to five strong bands in each animal with polymorphism that was most pronounced between horses of different ELA serotypes. Genomic DNA probes forAandE genes both revealed multiple polymorphic bands. However, cross-hybridization between these two probes prevented distinction betweenA andE equivalent loci. The reduced polymorphism evident within ELA specificities is consistent with the concept that the equine lymphocyte antigen system includes two families of closely linked MHC genes.     

Radial transport of water across cortical sleeves of excised roots ofZea mays L.

The stationary radial volume flows across maize (Zea mays L.) root segments without steles (sleeves) were measured under isobaric conditions. The driving force of the volume flow is an osmotic difference between the internal and external compartment of the root preparations. It is generated by differences in the concentrations of sucrose, raffinose or polyethylene glycol. The flows are linear functions of the corresponding osmotic differences ( ) up to osmotic values which cause plasmolysis. The straight lines obtained pass through the origin. No asymmetry of the osmotic barrier could be detected within the range of driving forces applied ( =±0.5 MPa), corresponding to volume-flow densities of j_{v, s}=±7·10^–8 m·s^–1. Using the literature values for the reflection coefficients of sucrose and polyethylene glycol in intact roots (E. Steudle et al. (1987) Plant Physiol.84, 1220–1234), values for the sleeve hydraulic conductivity of about 1·10^–7 m·s^–1 MPa^–1 were calculated. They are of the same order of magnitude as those reported in the literature for the hydraulic conductivity of intact root segments when hydrostatic pressure is applied.Abbreviations and symbols a _s outer surface of sleeve segment - c concentration of osmotically active solute - j _{v, s} radial volume flow density across sleeve segment - Lp_s hydraulic conductivity of sleeves - Lp_r hydraulic conductivity of intact roots - _N thickness of Nernst diffusion layer - reflection coefficient of root for solute - osmotic value of bulk phase - osmotic coefficient     

Comparison of different bioreactor performances

Bioreactors are compared based on oxygen transfer rate and efficiency, mixing performance, cell mass productivity as well as with respect to enzyme and metabolite productivity.List of Symbols AC acetate concentration - AL airlift tower loop reactor - CFU colony-forming units - CP coalescence-promoting medium - CS coalescence-suppressing medium - D _D impeller clearance - D _M molecular diffusivity - D _S diameter of the column - DT flat-bladed disc turbine - D _v vessel diameter - E. act enzyme activity - EDR energy dissipation rate - EcoRI restriction endonuclease - EcoR4 protection plasmid - E _{O 2} efficiency of oxygen transfer rate - E _X efficiency of cell mass production with respect to the specific power input - g acceleration of gravity - H height of column - H _v vessel height - HV highly viscous medium - IPTG isopropyl thiogalactoside (inducer of Lacpromoter) - k fluid consistency factor - k _L mass transfer coefficient - k _La volumetric mass transfer coefficient - m exponent - N impeller speed - n exponent - n flow behaviour index - P power input - P/V_L specific power input - PR marine propeller - P _LacUV5 Lac-promoter-induced by IPTG - P _R promoter-induced with temperature shift - _{O 2} oxygen transfer rate - q _g,q _{O 2} aeration rate, specific aeration rate with respect to liquid volume - R density of cultivation medium - R _p product formation rate - R _X growth rate - SpA protein A - ST stirred tank reactor - TCC total cell count - t _Lc liquid circulation time - U enzyme activity unit - u _B bubble rise velocity - u _G superficial gas velocity - V _L volume of the liquid phase - v kinematic viscosity of the cultivation medium - W _SG superficial gas velocity - X cell mass concentration - Y _E/S yield coefficient of ethanol formation with respect to substrate consumption - Y _P/X specific product formation with respect to cell concentration - Y _X/E yield coefficient of cell growth with respect to ethanol consumption - Y _{X/O 2} yield coefficient of cell growth with respect to oxygen consumption rate - Y _X/S yield coefficient of growth with respect to substrate consumption - _L liquid mixing time - _eff effective dynamic viscosity of the cultivation medium - _W dynamic viscosity of water - _max maximum specific growth rate - surface tension of the cultivation medium