Abstract

In many species, excitable cells preserve their physiological properties despite significant variation in physical size across time and in a population. For example, neurons in crustacean central pattern generators generate similar firing patterns despite several-fold increases in size between juveniles and adults. This presents a biophysical problem because the electrical properties of cells are highly sensitive to membrane area and channel density. It is not known whether specific mechanisms exist to sense membrane area and adjust channel expression to keep a consistent channel density, or whether regulation mechanisms that sense activity alone are capable of compensating cell size. We show that destabilising effects of growth can be specifically compensated by feedback mechanism that senses average calcium influx and jointly regulate multiple conductances. However, we further show that this class of growth-compensating regulation schemes is necessarily sensitive to perturbations that alter the expression of subsets of ion channel types. Targeted perturbations of specific ion channels can trigger a pathological response of the regulation mechanism and a failure of homeostasis. Our findings suggest that physiological regulation mechanisms that confer robustness to growth may be specifically vulnerable to deletions or mutations that affect subsets of ion channels.

Highlights

  • In many species, excitable cells preserve their physiological properties despite significant variation in physical size across time and in a population

  • It is not known whether specific mechanisms exist to sense membrane area and adjust channel expression to compensate changes in cell size, or whether other kinds of known regulation mechanisms can achieve this goal

  • We show that a master regulation scheme based on a single sensor of calcium concentration is suited to compensate size changes that would otherwise disrupt electrophysiological behaviour

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Summary

Introduction

Excitable cells preserve their physiological properties despite significant variation in physical size across time and in a population. Neurons in crustacean central pattern generators generate similar firing patterns despite several-fold increases in size between juveniles and adults This presents a biophysical problem because the electrical properties of cells are highly sensitive to membrane area and channel density. Activity-dependent regulation was first h­ ypothesised[10] and experimentally demonstrated to maintain neuronal firing and other physiological properties by tuning neuronal parameters like ion channel ­densities[11,12,13,14,15,16] Such regulation mechanisms employ feedback control of channel expression using intracellular signals, most notably calcium concentration, as a readout of membrane potential activity. Our results and analyses are relevant to local regulation of conductances within compartments of spatially extended cells and can inform studies of this more complex regulation problem

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