Linear Signal Transmission Research Articles

Cross-talk and specificity in two-component signal transduction pathways.

Two-component signaling systems (TCSs) are composed of two proteins, sensor kinases and response regulators, which can cross-talk and integrate information between them by virtue of high-sequence conservation and modular nature, to generate concerted and diversified responses. However, TCSs have been shown to be insulated, to facilitate linear signal transmission and response generation. Here, we discuss various mechanisms that confer specificity or cross-talk among TCSs. The presented models are supported with evidence that indicate the physiological significance of the observed TCS signaling architecture. Overall, we propose that the signaling topology of any TCSs cannot be predicted using obvious sequence or structural rules, as TCS signaling is regulated by multiple factors, including spatial and temporal distribution of the participating proteins.

Model cerebellar granule cells can faithfully transmit modulated firing rate signals.

A crucial assumption of many high-level system models of the cerebellum is that information in the granular layer is encoded in a linear manner. However, granule cells are known for their non-linear and resonant synaptic and intrinsic properties that could potentially impede linear signal transmission. In this modeling study we analyse how electrophysiological granule cell properties and spike sampling influence information coded by firing rate modulation, assuming no signal-related, i.e., uncorrelated inhibitory feedback (open-loop mode). A detailed one-compartment granule cell model was excited in simulation by either direct current or mossy-fiber synaptic inputs. Vestibular signals were represented as tonic inputs to the flocculus modulated at frequencies up to 20 Hz (approximate upper frequency limit of vestibular-ocular reflex, VOR). Model outputs were assessed using estimates of both the transfer function, and the fidelity of input-signal reconstruction measured as variance-accounted-for. The detailed granule cell model with realistic mossy-fiber synaptic inputs could transmit information faithfully and linearly in the frequency range of the vestibular-ocular reflex. This was achieved most simply if the model neurons had a firing rate at least twice the highest required frequency of modulation, but lower rates were also adequate provided a population of neurons was utilized, especially in combination with push-pull coding. The exact number of neurons required for faithful transmission depended on the precise values of firing rate and noise. The model neurons were also able to combine excitatory and inhibitory signals linearly, and could be replaced by a simpler (modified) integrate-and-fire neuron in the case of high tonic firing rates. These findings suggest that granule cells can in principle code modulated firing-rate inputs in a linear manner, and are thus consistent with the high-level adaptive-filter model of the cerebellar microcircuit.

The EGFR demonstrates linear signal transmission.

Cells sense information encoded in extracellular ligand concentrations and process it using intracellular signalling cascades. Using mathematical modelling and high-throughput imaging of individual cells, we studied how a transient extracellular growth factor signal is sensed by the epidermal growth factor receptor system, processed by downstream signalling, and transmitted to the nucleus. We found that transient epidermal growth factor signals are linearly translated into an activated epidermal growth factor receptor integrated over time. This allows us to generate a simplified model of receptor signaling where the receptor acts as a perfect sensor of extracellular information, while the nonlinear input-output relationship of EGF-EGFR triggered signalling is a consequence of the downstream MAPK cascade alone.

Signal Propagation Along Unidimensional Neuronal Networks

Dissociated neurons were cultured on lines of various lengths covered with adhesive material to obtain an experimental model system of linear signal transmission. The neuronal connectivity in the linear culture is characterized, and it is demonstrated that local spiking activity is relayed by synaptic transmission along the line of neurons to develop into a large-scale population burst. Formally, this can be treated as a one-dimensional information channel. Directional propagation of both spontaneous and stimulated bursts along the line, imaged with the calcium indicator Fluo-4, revealed the existence of two different propagation velocities. Initially, a small number of neighboring neurons fire, leading to a slow, small and presumably asynchronous wave of activity. The signal then spontaneously develops to encompass much larger and further populations, and is characterized by fast propagation of high-amplitude activity, which is presumed to be synchronous. These results are well described by an existing theoretical framework for propagation based on an integrate-and-fire model.

Linear signal transmission from prepotentials to cells in the macaque lateral geniculate nucleus.

Prepotentials preceding a neuronal action potential were recorded extracellularly in the lateral geniculate nucleus (LGN) of the macaque. Although prepotentials are found less frequently in the macaque than in the cat LGN, their electrical characteristics are similar, suggesting that they represent the arrival of impulses in a retinal afferent, as in the cat. The visual response properties of prepotentials and associated cells were similar under a variety of conditions, indicating that, apart from some response attenuation, little signal processing takes place in macaque LGN. A constant fraction of prepotentials above a threshold frequency gave rise to neuronal action potentials independent of the stimuli used, so that the frequency of cell action potentials was linearly related to the frequency of prepotentials. Since the maintained discharge rates of a cell and its prepotential always fell on the linear relation, the net responses of a cell and its prepotential to visual stimuli were approximately proportional to one another.

Linear signal transmission with optocouplers

Until now, optocouplers have not been considered very suitable for linear, isolating circuits, owing to their nonlinearity in the current transfer ratio. In this paper, a circuit for linear signal transmission consisting of a pair of optocouplers in a feedback arrangement is analyzed. The nonlinearity of the optocouplers is practically eliminated by using coupler pairs with good tracking in their transfer function. This paper analyzes the distortion and gain of such a circuit as a function of linearity tracking, modulation index, and LED-DC-bias level. Measurements reported in this paper show that with a linearity tracking of only 10 percent, stringent distortion requirements such as for analog signal transmission in telephony can be fulfilled. The circuit achieves a distortion of 0.5 percent based on a 10 percent linearity tracking at a modulation index of 0.2 and the temperature stability of the gain is -0.09 percent//spl deg/C.

Errata: Stability of Linear Signal Transmission Systems

Errata: Stability of Linear Signal Transmission Systems

Stability of Linear Signal Transmission Systems

Stability of Linear Signal Transmission Systems

A general theory of linear signal transmission systems

The analysis and synthesis of signal transmission systems are usually conducted either in the time domain or in the frequency domain. In this paper a more general approach based on the resolution of signals in terms of some suitable, but otherwise arbitrary, set of component signals is outlined. A signal transmission system is characterized by a so-called characteristic function, of which such commonly used descriptive functions as the impulsive response, unit step response, and the system function are special cases. The general input-output relations are interpreted in geometrical terms by using the function space approach. The concept of ideal filter is introduced via the idempotent property of projections in function space, and the significance of this concept is indicated.Stability, operational symbolism, product relation, and inverse systems are briefly discussed.