Quantum theory of nerve excitation

Based on quantum transitions of membrane dipoles, the four fundamental properties of nerve impulse are derived in this paper: the all-or-none response, the strength-duration relation, refractoriness and refractory period and frequency modulation. Furthermore, the theory offers a physical mechanism for nerve excitation similar to a two-level ammonia maser. It also implies non-threshold excitation at elevated temperatures. The role of trimethylamine ions near the surface of a phospholipid membrane is briefly discussed to indicate a possible connection between theory and reality.     

The derivation of nerve signals from contrast flash data

This paper presents a new analysis of the contrast flash data of Alpern et al. (1970a-d). It was prompted by the criticism of Wandell (1976) who pointed out that Alpern et al., main conclusion, i.e. that the inhibitory signal N ^*() elicited by the contrast flash () takes the form , would imply an unrealistic excitatory photo response. The present analysis shows the data to be consistent with an inhibitory signal of the form .     

Application of optimal multichannel filtering to simulated nerve signals

The optimal linear filters derived in the preceding paper can be thoroughly evaluated using computer simulations, based on the properties of mammalian sensory and motor nerve fibres. Using reasonable values for action potential waveforms, conduction velocity and electrode noise, good separation of motor and sensory signals can be obtained. The performance of the filters is degraded by 1) increasing the electrode noise, 2) introducing dispersion in the conduction velocities, or 3) variation in the waveform of the action potentials from that used in designing the filters. However, the variations needed to seriously degrade performance are quite large compared to those which are likely to be present in mammalian nerves. Use of these filters to distinguish different classes of sensory (or motor) signals based on conduction velocity is discussed.This work was partially supported by the Technical Research Council of Denmark (Grant 516-6703.E406), the Medical Research Council of Canada (Grant MRC-MT3307) and the National Research Council of Canada (Grant NRC A-4345)     

Mathematical analysis of optimal multichannel filtering for nerve signals

This paper extends recent analyses (Roberts and Hartline, 1975; Ouztöreli and Stein, 1977) of optimal linear filters for separating neural signals from more than one electrode site. Roberts and Hartline's result, using a matched filter criterion, represents one of a class of optimal filters with different, but symmetrical, output waveforms derived by Ouztöreli and Stein (1977). Another narrow bandwidth filter of this class will give the optimal results according to an energy criterion, but may be less useful in practical situations.This work was partially supported by the Medical Research Council of Canada (Grant MRC-MT3307), the Technical Research Council of Denmark (Grant 516-6703 E406) and the National Research Council of Canada (Grant NRC A-4345)     

Analysis of brush-particle interactions using self-consistent-field theory

Non-specific protein adsorption can be reduced by attaching polymer chains by one end to a sorbent surface. End-grafted polymer modified surfaces have also found application in size-based chromatographic bioseparations. To better understand how to tailor surfaces for these applications, a numerical SCF model has been used to calculate theoretical results for the polymer density distribution of interacting polymer chains around a solute particle positioned at a fixed distance from a surface. In addition, the excess energy required to move the particle into the polymer chains (interaction energy) is calculated using a statistical mechanical treatment of the lattice model. The effect of system variables such as particle size, chain length, surface density and Flory interaction parameters on density distributions and interaction energies is also studied. Calculations for the interaction of a solute particle with a surface covered by many polymer chains (a brush) show that the polymer segments will fill in behind the particle quite rapidly as it moves toward the surface. When there is no strong energetic attraction between the polymer and solute we predict that the interaction energy will be purely repulsive upon compression due to losses in conformational entropy of the polymer chains. Above a critical chain length, which depends upon particle size, a maximum in the force required to move the particle toward the surface is observed due to an engulfment of the particle as chains attempt to access the free volume behind the particle. If an attraction exists between the polymer and solute, such that a minimum in the interaction energy is seen, the optimum conditions for solute repulsion occur at the highest surface density attainable. Long chain length can lead to increased solute concentration within the polymer layer due to the fact that an increased number of favourable polymer–solute contacts are able to occur than with short chains at a similar entropic penalty.     

Hormone interactions in xylem development: a matter of signals

Xylem provides long-distance transport of water and nutrients as well as structural support in plants. The development of the xylem tissues is modulated by several internal signals. In the last decades, the bloom of genetic and genomic tools has led to increased understanding of the molecular mechanisms underlying the function of the traditional plant hormones in xylem specification and differentiation. Critical functions have been assigned to novel signaling molecules, such as thermospermine. These signals do not function independently, but interact in a manner we are only now beginning to understand. We review the current knowledge of hormone signaling pathways and their crosstalk in cambial cell initiation and maintenance, and in xylem specification and differentiation.     

Mitochondrial stress signals revise an old aging theory

In this issue, Durieux et?al. (2011) describe a tissue-specific signal, originating from mitochondria, that acts cell non-autonomously to regulate life span in the nematode, C.?elegans. This new finding provides a first step toward resolving the relative contributions of mitochondrial free radical damage and signaling mechanisms in aging.     

Long-range interactions in the spatial integration of motion signals.

When a sinewave grating is moving within a cross-shaped aperture, a strongly multi-stable phenomenon is perceived. The percept switches between the coherence of an extended surface moving in a single direction and the segregation of two patterned strips sliding across each other in directions parallel to the branches of the cross. We studied how the balance between these two percepts is affected by the length of the arms and by the shape of their ends. We report here that human observers report the segregation into two surfaces more often when the branches of the cross are extended, and when the small sides of the arms are oriented parallel to the grating. Two kinds of early motion signals interact in the crossed barber-pole stimulus: (a) the signals extracted in the middle of the bars are ambiguous with regard to their direction, and usually would be interpreted as motion normal to the grating orientation; (b) the signals from regions where the grating is intersected by the borders of the aperture convey motion signals in direction of the border. Our results show that the global appearance of our display can be dramatically influenced by the reliability of motion signals located in small regions that may be separated by large distances. To explain this long-range effect, we tentatively propose the existence of a representation level situated between the extraction of low-level local signals and the final global percept. The postulated processing level is concerned with the segmenting of the entire image into surfaces that are likely to belong to the same object, even if they are not contiguous in space. This hypothetical mechanism involves the construction of coarse-scale 'patches' from the local motion signal distributions, each carrying a single velocity associated with a certain degree of reliability. Our experiments indicate that the probability of grouping together similar patches depends on their respective reliabilities.     

Dipole interactions in electrofusion. Contributions of membrane potential and effective dipole interaction pressures.

The contributions of pulse-induced dipole-dipole interaction to the total pressure acting normal to the membranes of closely positioned pronase treated human erythrocytes during electrofusion was calculated. The total pressure was modeled as the sum of pressures arising from membrane potential and dipole-dipole attraction opposed by interbilayer repulsion. The dipole-dipole interaction was derived from the experimentally obtained cell polarizability. The threshold electric field amplitude necessary for fusion of pronase-treated human erythrocytes was experimentally obtained at various combinations of pulse duration, frequency, and the conductivity of the external medium. The theoretical values of the critical electric field amplitude compared favorably to the experimentally obtained threshold field amplitudes. Fusion by dc pulses may be primarily attributed to attainment of sufficiently high membrane potentials. However, with decreasing external conductivity and increasing sinusoidal pulse frequency (100 kHz-2.5 MHz), the induced dipole-dipole interactions provide the principal driving force for membrane failure leading to fusion.     

On the formal theory of nerve conduction

A general solution of the formal nerve conduction problem is given. As illustrations of the general method, the capacitative single-factor and the non-capacitative Lapicque problems are solved. Comparisons between velocity formulae for capacitative and non-capacitative models indicate that previously determined non-capacitative velocities are considerably too high.     

On the cable theory of nerve conduction

Conduction of an impulse in the nonmyelinated nerve fiber is treated quantitatively by considering it as a direct consequence of the coexistence of two structurally distinct regions, resting and active, in the fiber. The profile of the electrical potential change induced in the vicinity of the boundary between the two regions is analyzed by using the cable equations. Simple mathematical formulae relating the conduction velocity to the electrical parameters of the fiber are derived from the symmetry of the potential profile at the boundary. The factors that determine the conduction velocity in the myelinated nerve fiber are reexamined.     

Quantum theory of time-varying stimulation in nerve

The equation for the quantum transitions (spontaneous and stimulated) of membrane dipoles is solved for the various forms of time-varying stimulation in nerve. From the condition of ever-increasing dipole population in the upper state, the threshold for excitation is determined in each case. The results obtained are in agreement with the established facts. The optimum frequency for stimulation is given asv ₀=0.0615/T ₂ whereT ₂ is the dipole relaxation time. The feature of the theory is that the mathematical formulation is based upon a physical mechanism and the results can thus provide some understanding in the observed phenomena.     

Selective depressant action of antidromic impulses on gustatory nerve signals

The depressant action of antidromic volleys of impulses on gustatory nerve signals from the tongues of bullfrogs was studied. Electrical stimulation of the glossopharyngeal nerve at a rate of 100 Hz for 10 s and at supramaximal intensity slightly depressed the integrated glossopharyngeal nerve responses to quinine and to mechanical taps to the tongue. The same antidromic stimuli resulted in a 30-40% reduction in the responses to salt, acid, water, and warmed saline, but depressed greater than 80% of the afferent impulses firing spontaneously. The magnitude of responses to quinine and NaCl and the number of spontaneous discharges decreased gradually with an increase in either the frequency or the duration of antidromic stimuli. Similar results were obtained with intensities above the threshold for exciting gustatory and slowly adapting mechanosensitive fibers. The time required to recover from termination of the antidromic stimuli to two-thirds of the maximal amount of depression ranged between 6 and 7 min, with no significant differences among the depressions. The possible mechanisms involved in the antidromic depression of gustatory nerve signals are discussed.     

Modelling molecular interactions with game networks' theory

We present a method to model biological systems, the theory of games networks. It extends game theory by multiplying the number of games, and by allowing agents to play several games simultaneously. Some important notions of biological systems, such as locality of interactions and modularity, can then be modelled.     

Molecular signals in the interactions between plants and microbes.

The field of plant-microbe interactions has witnessed several recent breakthroughs, such as the molecular details of vir gene induction, identification of Nod factors, and the cloning and characterization of avr genes. Other breakthroughs, such as the cloning and characterization of R genes, appear imminent. Parallels to mammalian systems are emerging in the world of plant-microbe interactions, for example, ion channels formed by Rhizobium proteins, similarities of hrp genes to pathogenicity genes of mammalian pathogens, and plant signal transduction via calcium and protein phosphorylation. We remain, however, largely ignorant of many facets of signaling in plant-microbe interactions. We know little about how microbial signals are perceived by plants or how subsequent signal transduction occurs within plant cells and are probably unaware of many of the microbe-generated signals to which plants respond or of plant-generated signals to which bacteria and fungi respond. Contributions from those working on the genetics, molecular biology, and physiology of bacteria, fungi, and plants will be required to address these questions. The many nonpathogenic plant-microbe interactions in addition to the Rhizobium-plant interaction remain relatively unexplored. Genetic and molecular approaches are being initiated to investigate the signaling that is likely to underlie interactions such as those between mycorrhizal fungi and plant roots and between epiphytic bacteria and plant leaf surfaces. The importance of these interactions to plant growth and development makes it likely that they will figure more prominently at future symposia.(ABSTRACT TRUNCATED AT 250 WORDS)     

Targeting signals and subunit interactions in coated vesicle adaptor complexes

There are two clathrin-coated vesicle adaptor complexes in the cell, one associated with the plasma membrane and one associated with the TGN. The subunit composition of the plasma membrane adaptor complex is alpha-adaptin, beta-adaptin, AP50, and AP17; while that of the TGN adaptor complex is gamma-adaptin, beta'-adaptin, AP47, and AP19. To search for adaptor targeting signals, we have constructed chimeras between alpha-adaptin and gamma-adaptin within their NH2-terminal domains. We have identified stretches of sequence in the two proteins between amino acids approximately 130 and 330-350 that are essential for targeting. Immunoprecipitation reveals that this region determines whether a construct coassemblies with AP50 and AP17, or with AP47 and AP19. These observations suggest that these other subunits may play an important role in targeting. In contrast, beta- and beta'-adaptins are clearly not involved in this event. Chimeras between the alpha- and gamma-adaptin COOH-terminal domains reveal the presence of a second targeting signal. We have further investigated the interactions between the adaptor subunits using the yeast two-hybrid system. Interactions can be detected between the beta/beta'-adaptins and the alpha/gamma- adaptins, between the beta/beta'-adaptins and the AP50/AP47 subunits, between alpha-adaptin and AP17, and between gamma-adaptin and AP19. These results indicate that the adaptor subunits act in concert to target the complex to the appropriate membrane.