Criticality in intracellular calcium signaling in cardiac myocytes.
Calcium (Ca) is a ubiquitous second messenger that regulates many biological functions. The elementary events of local Ca signaling are Ca sparks, which occur randomly in time and space, and integrate to produce global signaling events such as intra- and intercellular Ca waves and whole-cell Ca oscillations. Despite extensive experimental characterization in many systems, the transition from local random to global synchronous events is still poorly understood. Here we show that criticality, a ubiquitous dynamical phenomenon in nature, is responsible for the transition from local to global Ca signaling. We demonstrate this first in a computational model of Ca signaling in a cardiac myocyte and then experimentally in mouse ventricular myocytes, complemented by a theoretical agent-based model to delineate the underlying dynamics. We show that the interaction between the Ca release units via Ca-induced Ca release causes self-organization of Ca spark clusters. When the coupling between Ca release units is weak, the cluster-size distribution is exponential. As the interactions become strong, the cluster-size distribution changes to a power-law distribution, which is characteristic of criticality in thermodynamic and complex nonlinear systems, and facilitates the formation and propagation of Ca waves and whole-cell Ca oscillations. Our findings illustrate how criticality is harnessed by a biological cell to regulate Ca signaling via self-organization of random subcellular events into cellular-scale oscillations, and provide a general theoretical framework for the transition from local Ca signaling to global Ca signaling in biological cells.
Cardiology Division, Department of Medicine, David Geffen School of Medicine, University of California, Los Angeles, California, USA.
Michael
M
Nivala
Christopher Y
CY
Ko
Melissa
M
Nivala
James N
JN
Weiss
Zhilin
Z
Qu
D000818:Animals; D002021:Buffers; D020013:Calcium Signaling; D002463:Cell Membrane Permeability; D003198:Computer Simulation; D006352:Heart Ventricles / Q000166:cytology; D042541:Intracellular Space / Q000378:metabolism*; D051379:Mice; D008810:Mice, Inbred C57BL; D008954:Models, Biological; D032383:Myocytes, Cardiac / Q000378:metabolism*
D002021:Buffers