Excitation of paramecium

An electrophysiological and kinematic model of Paramecium, the "swimming neuron"

Paramecium is a large unicellular organism that swims in fresh water using cilia. When stimulated by various means (mechanically, chemically, optically, thermally), it often swims backward then turns and swims forward again in a new direction: this is called the avoiding reaction. This reaction is triggered by a calcium-based action potential. For this reason, several authors have called Paramecium the "swimming neuron". Here we present an empirically constrained model of its action potential based on electrophysiology experiments on live immobilized paramecia, together with simultaneous measurement of ciliary beating using particle image velocimetry. Using these measurements and additional behavioral measurements of free swimming, we extend the electrophysiological model by coupling calcium concentration to kinematic parameters, turning it into a swimming model. In this way, we obtain a model of autonomously behaving Paramecium. Finally, we demonstrate how the modeled organism interacts with an environment, can follow gradients and display collective behavior. This work provides a modeling basis for investigating the physiological basis of autonomous behavior of Paramecium in ecological environments.

Computational modelling elucidates the mechanism of ciliary regulation in health and disease

Background

Ciliary dysfunction leads to a number of human pathologies, including primary ciliary dyskinesia, nephronophthisis, situs inversus pathology or infertility. The mechanism of cilia beating regulation is complex and despite extensive experimental characterization remains poorly understood. We develop a detailed systems model for calcium, membrane potential and cyclic nucleotide-dependent ciliary motility regulation.

Results

The model describes the intimate relationship between calcium and potassium ionic concentrations inside and outside of cilia with membrane voltage and, for the first time, describes a novel type of ciliary excitability which plays the major role in ciliary movement regulation. Our model describes a mechanism that allows ciliary excitation to be robust over a wide physiological range of extracellular ionic concentrations. The model predicts the existence of several dynamic modes of ciliary regulation, such as the generation of intraciliary Ca²⁺ spike with amplitude proportional to the degree of membrane depolarization, the ability to maintain stable oscillations, monostable multivibrator regimes, all of which are initiated by variability in ionic concentrations that translate into altered membrane voltage.

Conclusions

Computational investigation of the model offers several new insights into the underlying molecular mechanisms of ciliary pathologies. According to our analysis, the reported dynamic regulatory modes can be a physiological reaction to alterations in the extracellular environment. However, modification of the dynamic modes, as a result of genetic mutations or environmental conditions, can cause a life threatening pathology.

Systems biology of cell behavior

Systems Biology approaches to drug discovery largely focus on the increasing understanding of intracellular and cellular circuits, by computational representation of a molecular system followed by parameter validation against experimental data. This chapter outlines a universal approach to systems biology that allows the linking of intracellular molecular machinery and cellular activity. This procedure is achieved by applying mathematical modeling to molecular modules of a cell in the light of systems biology techniques.

The ratio of extracellular Ca2+ to K+ ions affects the photoresponses in Stentor coeruleus

1. Stentor coeruleus exhibits negative phototaxis (due to phototactic orientation response) and step-up photophobic response (avoiding reaction) to visible light. 2. The effect of Ja-value ([K+]/[Ca2+]1/2) and calcium ion concentration of the surrounding medium on the photoresponses in Stentor were studied. 3. The both types of photoresponses in Stentor are greatly affected by the Ja-value. A higher Ja-value medium suppressed the step-up photophobic response of Stentor, whereas the organism showed a higher degree of phototactic orientation response in higher Ja-value solutions. 4. The effect of the Ja-value on the step-up photophobic response was opposite to that on the phototactic orientation response. 5. With increasing calcium concentration but at a constant Ja-value, the number of Stentor showing the step-up photophobic response increased, whereas the phototactic orientation response of Stentor was suppressed at higher Ca2+ concentrations. 6. The effect of the calcium concentration on the photophobic response was also opposite to that on the phototactic orientation response, as in the case of Ja-value effect.

Diffusion of Ca2+ and the quiescent response of sea urchin sperm flagella

The starting and stopping transients observed in sea urchin sperm flagella in the presence of high Ca2+ are believed to begin with an influx of Ca2+ into the axoneme and to end, as indicated by resumption of normal beating, when the Ca2+ has been reduced to very low levels by an active extrusion process. If the influx and efflux processes were uniformly distributed along the length of the flagellum, it is not likely that the starting and stopping transients would occur as a well defined sequence of events that always proceeds from the proximal to the distal end. Theoretical analysis of the concentration profiles of Ca2+ expected if Ca2+ influx occurred along the length of the flagellum but efflux was restricted to the proximal end shows that the time required to reduce [Ca2+] in the distal portion of the flagellum would generally be longer than the observed recovery times. Localization of both the influx and efflux processes near the proximal end, however, yields concentration profiles consistent with observations on the duration of starting and stopping transients.