Adapting bump model for ventral photoreceptors of Limulus

Light-evoked current fluctuations have been recorded from ventral photoreceptors of Limulus for light intensity from threshold up to 10(5) times threshold. These data are analyzed in terms of the adapting bump noise model, which postulates that (a) the response to light is a summation of bumps; and (b) the average size of bump decreases with light intensity, and this is the major mechanism of light adaptation. It is shown here that this model can account for the data well. Furthermore, the model provides a convenient framework to characterize, in terms of bump parameters, the effects of calcium ions, which are known to affect photoreceptor functions. From responses to very dim light, it is found that the average impulse response (average of a large number of responses to dim flashes) can be predicted from knowledge of both the noise characteristics under steady light and the dispersion of latencies of individual bumps. Over the range of light intensities studied, it is shown that (a) the bump rate increases in strict proportionality to light intensity, up to approximately 10(5) bumps per second; and (b) the bump height decreases approximately as the -0.7 power of light intensity; at rates greater than 10(5) bumps per second, the conductance change associated with the single bump seems to reach a minimum value of approximately 10(-11) reciprocal ohms; (c) from the lowest to the highest light intensity, the bump duration decreases approximately by a factor of 2, and the time scale of the dispersion of latencies of individual bumps decreases approximately by a factor of 3; (d) removal of calcium ions from the bath lengthens the latency process and causes an increase in bump height but appears to have no effect on either the bump rate or the bump duration.     

Quantal basis of photoreceptor spectral sensitivity of Drosophila melanogaster

Small potential fluctuations ("bumps"), boyh spontaneous and light induced, can be recorded intracellularly from the photoreceptors of Drosophila melanogaster. Statistical analyses of these bumps in the spectral range, 400-600 nm, lead to the following interpretations; (a) For weak stimuli at least, these bumps are the quantal units of the receptor potential. (b) Quanta of various wavelengths, when effectively absorbed, will elicit bumps of the same average size. (c) The spectral sensitivity of the receptor potential appears to have its origin in the relative efficiency of quantum bump production at different wavelengths, and not in the intrinsic difference in the properties of bumps produced by quanta of differenct wavelengths.     

Dispersion of latencies in photoreceptors of Limulus and the adapting- bump model

To light stimuli of very low intensity, Limulus photoreceptors give a voltage response with a fluctuating delay. This phenomenon has been called "latency dispersion." If the generator potential is the superposition of discrete voltage events ("bumps"), and if the effect of light upon bump size is negligible, then the latency dispersion and the bump shape completely characterize the frequency response to sinusoidal flicker. For very low light intensities, the latency dispersion of the bumps, the bump shape, and the frequency response are measured. It is found that for data obtained at 20 degrees C, the frequency response can be accounted for completely by the latency dispersion and by the bump shape derived from steady-state noise characteristics. At 10 degrees C, the time scale of the response of the photoreceptor is lengthened. The dispersion of latencies and the bump shape are found not to have the same temperature dependence. However, just as those measured at 20 degrees C, the bump shape and the dispersion of latencies measured at 10 degrees C can predict the frequency response measured under the same conditions. These results strongly suggest that the major mechanisms involved in the generator potential are the latency process and the bump process. At high light intensities, the time scale of the generator potential shortens. The decrease in time scale of the generator potential can be attributed to the decreases in time scales of the bumps and of the latency dispersion process.     

Light reduces the excitation efficiency in the nss mutant of the sheep blowfly Lucilia

The nss (no steady state) phototransduction mutant of the sheep blowfly Lucilia was studied electrophysiologically using intracellular recordings. The effects of the nss mutation on the receptor potential are manifested in the following features of the light response. (a) The responses to a flash or to dim lights are close to normal, but the receptor potential decays close to the baseline level during prolonged illumination after a critical level of light intensity is reached. (b) The decline of the response is accompanied by a large reduction in responsiveness to light that recovers within 20 s in the dark. (c) The full reduction in responsiveness to light is reached when approximately 13% of the photopigment molecules are converted from rhodopsin (R) to metarhodopsin (M). (d) A maximal net pigment conversion from R to M by blue light induces persistent inactivation in the dark, without an apparent voltage response. This inactivation could be abolished at any time by M-to-R conversion with orange light. The above features of the mutant indicate that the effect of the nss mutation on the light response of Lucilia is very similar to the effects of the transient receptor potential (trp) mutation on the photoreceptor potential of Drosophila. Noise analysis and voltage measurements indicate that the decay of the receptor potential is due to a severe reduction in the rate of occurrence of the elementary voltage responses (bumps). The bumps are only slightly modified in shape and amplitude during the decline of the response to light of medium intensity. There is also a large increase in response latency during intense background illumination. These results are consistent with the hypothesis that separate, independent mechanisms determine bump triggering and bump shape and amplitude. The nss mutation affects the triggering mechanism of the bump.     

Two components of the receptor current are developed from distinct elementary signals in Limulus ventral nerve photoreceptor

Transient elementary currents, bumps, stimulated by short dim light flashes were measured in ventral nerve photoreceptors of Limulus. It is demonstrated that light activates two types of bumps, which form two distinct components of the receptor current at higher light intensities. The two bump types, which are both assumed to be activated by single absorbed photons, differ in current amplitude and kinetic parameters. The current amplitude of one bump type is smaller than 0.3 nA and that of the other type is in the usual current range of up to several nanoamperes. The average latency of small bumps measured from the short stimulus flash is shorter than that of the large bumps. The small bumps have slower activation kinetics than the large bumps. It is demonstrated that with increasing flash intensity the small bumps overlap first and form a macroscopic current, on top of which the large bumps are superimposed. Results indicate that a single absorbed photon selectively activates only one kind of the enzyme cascades evoking one bump type. We conclude that the active meta conformation of a rhodopsin molecule selectively binds a specific type of G-protein, which is involved in the stimulation of one of the transduction cascades. The two bump types, which are the elements of two macroscopic current components support the previous assumption that light activates different transduction mechanisms in Limulus photoreceptors.     

Adapting-bump model for eccentric cells of Limulus

Light-evoked intracellular voltage noise records have been obtained from Limulus eccentric cells, from threshold light intensity to an intensity .10(5) times threshold. These data are analyzed in terms of a simple "adapting-bump" noise model. It is shown how the model yields a data reduction procedure that slightly generalizes the familiar use of Campbell's theorem for Poisson shot noise: the correlative effect of adaptation amends Campbell's theorem by a single multiplicative factor, which may be estimated directly from the power spectrum of the noise data. The model also permits direct estimation of the bump shape from the power spectrum. The bump shape estimated from noise at dim light is in excellent agreement with the average shape of bumps observed directly in the dark. The data yield a bump rate that is linear with light up through about 50 times threshold intensity but that falls short of linearity by a factor of 35 at the brightest light. The bump height decreases as the -0.4 power of light intensity across the entire range. Bump duration decreases by a factor of 2 across the entire range, and the adaptation correlation factor descends from unity to about one-third. The modest change of the adaptation correlation shows that naive application of Campbell's theorem to such data is adequate for rough estimation of the model's physiological parameters. This simple accounting for all the data gives support to the adapting-bump model.     

Lanthanum reduces the excitation efficiency in fly photoreceptors

Lanthanum (La3+), a known inhibitor of Ca2+ binding proteins, was applied to the extracellular space of fly retina. Shot noise analysis indicated that a combination of intense light and La3+ caused a large (down to zero) reduction in the rate of occurrence of the quantal responses to single photons (quantum bumps) which sum to produce the photoreceptor potential. Light in the presence of La3+ also increased the effective bump duration. These effects are very similar to the effects of the mutations trp of Drosophila and nss of Lucilia flies on the quantum bump rate and duration. La3+ applied to the nss mutant caused only a small reduction in the bump rate, suggesting that La3+ may affect the nss gene product which is deficient in the mutant. The close similarity in the properties of the receptor potential of the La(3+)-treated photoreceptor of the wild type and of the nss mutant together with existing evidence for the highly reduced intracellular Ca2+ ([Ca2+]i) level in nss photoreceptors suggest that both La3+ and the mutation cause a severe reduction in [Ca2+]i. This effect may arise from an inhibition of a Ca2+ transporter protein located in the surface membrane that normally replenishes Ca2+ pools in the photoreceptors, a process essential for light excitation.     

The quantal source of area supralinearity of flash responses in Limulus photoreceptors

The time integrals of the responses of dark-adapted Limulus ventral photoreceptors to flashes exhibit a supralinear dependence on intensity at intermediate intensities. By decomposing the responses into their elementary single-photon components ("bumps"), we are able to calculate the overall quantum efficiency and to display the time courses of the bump amplitude and rate of appearance. Since the time course of the flash response is not slow compared with that of the bump, it was necessary, in order to carry out the decomposition, to develop a new technique for noise analysis of dynamic signals. This new technique should have wide applications. Our main finding is that the supralinearity of the flash responses corresponds to an increase in bump amplitude, with little change in bump duration or quantum efficiency. The time courses of the bump rate and of the change in bump amplitude are peaked and have widths similar to that of the response itself. The peaks of the time courses of the bump rate and amplitude displayed against the starting times of the bumps do not coincide and occur approximately 80 and approximately 40 ms, respectively, before the peak of the response. The time from the start of a bump to its centroid is approximately 70 ms, which means that the time at which the bump centroid reaches its maximum follows the response peak by 30 ms. These results impose constraints on possible mechanisms for the amplitude enhancement.     

Cell responses to single pheromone molecules may reflect the activation kinetics of olfactory receptor molecules

Olfactory receptor cells of the silkmoth Bombyx mori respond to single pheromone molecules with "elementary" electrical events that appear as discrete "bumps" a few milliseconds in duration, or bursts of bumps. As revealed by simulation, one bump may result from a series of random openings of one or several ion channels, producing an average inward membrane current of 1.5 pA. The distributions of durations of bumps and of gaps between bumps in a burst can be fitted by single exponentials with time constants of 10.2 ms and 40.5 ms, respectively. The distribution of burst durations is a sum of two exponentials; the number of bumps per burst obeyed a geometric distribution (mean 3.2 bumps per burst). Accordingly the elementary events could reflect transitions among three states of the pheromone receptor molecule: the vacant receptor (state 1), the pheromone-receptor complex (state 2), and the activated complex (state 3). The calculated rate constants of the transitions between states are k(21)=7.7 s(-1), k(23)=16.8 s(-1), and k(32)=98 s(-1).     

Circadian rhythms in Limulus photoreceptors. II. Quantum bumps

The light response of the lateral eye of the horseshoe crab, Limulus polyphemus, increases at night, while the frequency of spontaneous discrete fluctuations of its photoreceptor membrane potential (quantum bumps) decreases. These changes are controlled by a circadian clock in the brain, which transmits activity to the eye via efferent optic nerve fibers (Barlow, R. B., S. J. Bolanski, and M. L Brachman. 1977. Science. 197:86-89). Here we report the results of experiments in which we recorded from single Limulus photoreceptors in vivo for several days and studied in detail changes in their physiological and membrane properties. We found that: (a) The shape of (voltage) quantum bumps changes with the time of day. At night, spontaneous bumps and bumps evoked by dim light are prolonged. The return of the membrane potential to its resting level is delayed, but the rise time of the bump is unaffected. On average, the area under a bump is 2.4 times greater at night than during the day. (b) The rate of spontaneous bumps decreases at night by roughly a factor of 3, but their amplitude distribution remains unchanged. (c) The resting potential and resistance of the photoreceptor membrane do not change with the time of day. (d) the relationship between injected current and impulse rate of the second order neuron, the eccentric cell, also remains unchanged with the time of day. Thus the efferent input from the brain to the retina modulates some of the membrane properties of photoreceptor cells. Our findings suggest that the efferent input acts on ionic channels in the membrane to increase the sensitivity of the photoreceptor to light.     

Graded and discrete receptor potentials in the compound eye of the Australian Bulldog-ant (Myrmecia gulosa)

1. Graded and discrete receptor potentials are recorded from the visual cells of the Australian Bulldog-ant. The intensity dependence of the graded responses is described by a new formula [Eq. (3)]. While the frequency of the discrete potentials in relation to the number of light quanta fits best a Poisson distribution, the graded potentials are best described by a logarithmic Gaussian distribution. 2. It is shown that the non-linear summation of single bumps and the reduction of the bump amplitude lead to a logarithmic intensity dependence. 3. The frequency spectrum of single bumps is measured with a Fast-Fourier-Analysis. It is observed that the harmonic frequencies have a negative slope around 12 dB/octave. 4. A difference is found in the higher harmonics of bumps generated at lower light intensities from those generated at higher light intensities. It is shown that this difference becomes more obvious if the bumps are further divided into short and longer latency groups. 5. From these results, it is concluded, that there is a mutual influence between neighbouring visual cells. Using this influence as a basis, a model of the low electric coupling between the cells is discussed.     

Dependence of bump rate and bump size in Limulus ventral nerve photoreceptor on light adaptation and calcium concentration

Bumps were recorded in Limulus ventral nerve photoreceptor as deflections in membrane voltage during 10 s illuminations by dim light which were repeated every 20 s. The bump amplitude vs frequency distribution and its dependence on the intensity of a preadapting light flash are described. Light adaptation which diminishes the average bump amplitude alters the character of the bump amplitude distribution from a curve with a convex region to a continuously falling concave curve. Weak light adaptation can increase frequency (and height) of the bumps elicited by constant stimuli. Raising the external Ca²⁺-concentration from 10 to 40 mmol/l augments the effect of a preadapting light flash in diminishing the bump amplitudes and also increases the bump frequency. The results are consistent with the assumptions

that light adaptation is based on a Ca²⁺-dependent reduction of the amplification factor which determines the bump size and

that the coupling between light induced rhodopsin reactions and bump generation is Ca²⁺-dependent.

     

Determinants of single photon response variability

The responses to single photon absorptions (quantum bumps) vary randomly in size in Limulus photoreceptors. This variability is a natural consequence of simple chemical reactions involving a small number of molecules. The measured size distributions differ significantly from the exponential distribution predicted by the simplest transduction cascade models, one feature of which is that light-activated rhodopsin (R*) is turned off in a single step process. As shown in the companion paper, the nonexponential size distributions can be accounted for if R* is turned off in a multi-step process. This would lead to a nonexponential (peaked) distribution in the number of G- protein molecules activated during a quantum bump and to a nonexponential distribution in the size of bumps. To test this possibility we measured the distribution of quantum bump size under two conditions in which the variability in the number of activated G- proteins was eliminated. eliminated. In one method, bumps were produced by direct activation of single G-proteins using GTP-gamma-S; in the second GDP-beta-S reduced the R* gain to the point where most quantal events were due to activation of a single G-protein. In both cases the size distribution of bumps became much closer to an exponential distribution than that of normal light-induced bumps. These results support the idea that the size distribution of light-induced bumps is dependent on events at the R* level and reflects to the multi-step deactivation of R*.     

Proper function of the Drosophila trp gene product during pupal development is important for normal visual transduction in the adult

The response of invertebrate photoreceptors consists of the summation of quantum bumps, each representing the response to a single photon. The bumps adapt depending on the intensity of the stimulus: their average size is relatively large in dim light and small in bright light. The rate of occurrence of the bumps varies proportionally with light intensity. In the Drosophila mutant trp, unlike in the wild type, the rate does not increase with increasing light intensity and the bumps do not adapt. Here we report an analysis of the trp gene and its expression in normal and mutant flies. Our results suggest that the trp protein is a novel photoreceptor membrane-associated protein, that this protein is not required for the occurrence of bumps but is necessary for adaptation, and that proper function of the trp gene product during pupal development is important for normal visual transduction in the adult.     

Bump amplitude,but not latency and time-course,can depend on position of illumination in Limulus photoreceptor cells

Bumps, the responses evoked by single photons in the ventral photoreceptor of Limulus polyphemus, were measured under voltage clamp conditions. The bumps were evoked by illuminating the photoreceptor either with a global flash or a small light spot (diameter about 5 m) which covers only 0.25% of the light-sensitive part of the cell membrane. The light energy of both flash types was adjusted so that each flash on average evoked one bump. Parameters of bumps evoked by local light spots in various membrane areas were compared with those evoked by light flashes which illuminated the whole photoreceptor. The results show that the bump amplitude depends on the location of the illumination. Membrane areas were found where the average value of the bump amplitude was either smaller or larger for a spot illumination than for a whole cell illumination. The latency and the shape (e.g. width) of the bumps does not depend on the location of the illumination.     

The role of metarhodopsin in the generation of spontaneous quantum bumps in ultraviolet receptors of Limulus median eye. Evidence for reverse reactions into an active state

The origin of spontaneous quantum bumps has been examined in the ultraviolet photoreceptors of Limulus median eye. These cells have a rhodopsin with a lambda max at 360 nm and a stable photoproduct, metarhodopsin, with a lambda max at 470 nm. The steady state rate of spontaneous quantum bumps was found to be higher when the metarhodopsin concentration was high than when the rhodopsin concentration was high. This result implicates metarhodopsin in the generation of spontaneous quantum bumps. Furthermore, this result is consistent with the idea that the reaction which inactivates metarhodopsin (terminates the ability of metarhodopsin to initiate the reactions leading to a quantum bump) is reversible and that such reversions can be a significant source of spontaneous quantum bumps. Given that the rate of spontaneous quantum bumps is approximately 1/s under conditions where the number of inactive metarhodopsin molecules is approximately 10(9), it follows that the molecular switch that inactivates metarhodopsin reverses with a probability of less than 10(-9). A model is presented of how a molecular switch with this reliability might be constructed.     

Light-activated ion channels in solitary photoreceptors of the scallop Pecten irradians.

Retinas from the scallop Pecten irradians were enzymatically dispersed, yielding a large number of isolated photoreceptors suitable for tight-seal recording. Whole-cell voltage clamp measurements demonstrated that the phototransducing machinery remained intact: quantum bumps could be elicited by dim illumination, while brighter flashes produced larger, smooth photocurrents. Single-channel currents specifically activated by light were recorded in cell-attached patches, and were almost exclusively confined to the rhabdomeric region. Their density is sufficiently high to account for the macroscopic photoresponse. Channel activation is graded with stimulus intensity in a range comparable to that of the whole-cell response, and can be recorded with illumination sufficiently dim to evoke only quantum bumps. Light-dependent channel openings are very brief, on average 1 ms or less at 20-22 degrees C, apparently not because of blockage by extracellular divalent cations. The mean open time does not change substantially with stimulus intensity. In particular, since dwell times are in the millisecond range even with the dimmest lights, the channel closing rate does not appear to be the rate-limiting step for the decay kinetics of discrete waves. The latency of the first opening after light onset is inversely related to light intensity, and the envelope of channel activity resembles the time course of the whole-cell photocurrent. Unitary currents are inward at resting potential, and have a reversal voltage similar to that of the macroscopic light response. Voltage modulates the activity of light-sensitive channels by increasing the opening rate and also by lengthening the mean open times as the patch is depolarized. The unitary conductance of the predominant class of events is approximately 48 pS, but at least one additional category of smaller-amplitude openings was observed. The relative incidence of large and small events does not appear to be related in a simple way to the state of adaptation of the cell.     

Electrophysiological study of Drosophila rhodopsin mutants

Electrophysiological investigations were carried out on several independently isolated mutants of the ninaE gene, which encodes opsin in R1-6 photoreceptors, and a mutant of the ninaD gene, which is probably important in the formation of the rhodopsin chromophore. In these mutants, the rhodopsin content in R1-6 photoreceptors is reduced by 10(2)-10(6)-fold. Light-induced bumps recorded from even the most severely affected mutants are physiologically normal. Moreover, a detailed noise analysis shows that photoreceptor responses of both a ninaE mutant and a ninaD mutant follow the adapting bump model. Since any extensive rhodopsin-rhodopsin interactions are not likely in these mutants, the above results suggest that such interactions are not needed for the generation and adaptation of light-induced bumps. Mutant bumps are strikingly larger in amplitude than wild-type bumps. This difference is observed both in ninaD and ninaE mutants, which suggests that it is due to severe depletion of rhodopsin content, rather than to any specific alterations in the opsin protein. Lowering or buffering the intracellular calcium concentration by EGTA injection mimics the effects of the mutations on the bump amplitude, but, unlike the mutations, it also affects the latency and kinetics of light responses.     

The amplitudes of unit events in Limulus photoreceptors are modulated from an input that resembles the overall response

Light adaptation is a gain-control process that endows photoreceptors with large dynamic range. In invertebrates, this process appears to be mediated by a negative feedback that sets the amplitude of the isolated photon responses (bumps) by modulating an enzyme's rate of catalysis. This paper reports measurements of the feedback dynamics of Limulus from the responses to small modulations in light intensity. The responses show a noise that apparently arises from the random arrival of photons. We use a dynamic noiseanalysis technique to extract the cells's frequencyresponse transfer function for bump amplitude. Its ratio to the transfer function for the summed response of the cell has a simple form at low frequencies. This indicates that the origin of the feedback responsible for the adaptation is at a stage temporally close to the final conductance response. Moreover, the form of the transfer function suggests feedback by a chemical agent which is removed by a single enzymatic-like stage at low light intensity and by several such stages in parallel but with a spread of time constants at high intensity.This work was supported by grants from the Binational Science Foundation (BSF) Jerusalem, Israel and the Israel Academy of Sciences and Humanities, by NIH grant EY 1428, and by NSF grant DMS 8505442     

Limulus ventral eye. Physiological properties of photoreceptor cells in an organ culture medium

Ventral photoreceptor cells bathed in an organ culture medium typically have resting potentials of -85 mV and membrane resistances of 35 Momega and, when dark-adapted, exhibit large potential fluctuations (LPFs) of 60 mV and small potential fluctuations (SPFs) of less than 30 mV. LPFs appear to be regenerative events triggered by SPFs, the well-known quantum bumps. In the dark, SPFs and LPFs occur spontaneously. At intensities near threshold, the rate of occurrence is directly proportional to light intensity, indicating that SPFs and LPFs are elicited by single photon events. At higher intensities, SPFs and LPFs sum to produce a receptor potential that is graded over approximately a 9-log-unit range of light intensity. Amplitude histograms of the discrete potential waves are bimodal, reflecting the SPF and LPF populations. Histograms of current waves are unimodal. SPFs and LPFs are insensitive to 1 microgram tetrodotoxin. I-V characteristics show initial inward currents of approximately 15 nA for voltage clamps to - 40 mV and steady-state outward currents for all clamp potentials. Photoreceptor cells bathed in organ culture medium retain these properties for periods of at least 75 days.