Unraveling ChR2-driven stochastic Ca2+ dynamics in astrocytes: A call for new interventional paradigms

Optogenetic targeting of astrocytes provides a robust experimental model to differentially induce Ca2+ signals in astrocytes in vivo. However, a systematic study quantifying the response of optogenetically modified astrocytes to light is yet to be performed. Here, we propose a novel stochastic model of Ca2+ dynamics in astrocytes that incorporates a light sensitive component-channelrhodopsin 2 (ChR2). Utilizing this model, we investigated the effect of different light stimulation paradigms on cells expressing select variants of ChR2 (wild type, ChETA, and ChRET/TC). Results predict that depending on paradigm specification, astrocytes might undergo drastic changes in their basal Ca2+ level and spiking probability. Furthermore, we performed a global sensitivity analysis to assess the effect of variation in parameters pertinent to the shape of the ChR2 photocurrent on astrocytic Ca2+ dynamics. Results suggest that directing variants towards the first open state of the ChR2 photocycle (o1) enhances spiking activity in astrocytes during optical stimulation. Evaluation of the effect of Ca2+ buffering and coupling coefficient in a network of ChR2-expressing astrocytes demonstrated basal level elevations in the stimulated region and propagation of calcium activity to unstimulated cells. Buffering reduced the diffusion range of Ca2+ within the network, thereby limiting propagation and influencing the activity of astrocytes. Collectively, the framework presented in this study provides valuable information for the selection of light stimulation paradigms that elicit desired astrocytic activity using existing ChR2 constructs, as well as aids in the engineering of future application-oriented optogenetic variants.

[1]  Andrea Volterra,et al.  Gliotransmission: Beyond Black-and-White , 2018, The Journal of Neuroscience.

[2]  Michael Z. Lin,et al.  Characterization of engineered channelrhodopsin variants with improved properties and kinetics. , 2009, Biophysical journal.

[3]  Karl Deisseroth,et al.  Color-tuned Channelrhodopsins for Multiwavelength Optogenetics , 2012, The Journal of Biological Chemistry.

[4]  Bruno Weber,et al.  Long-term In Vivo Calcium Imaging of Astrocytes Reveals Distinct Cellular Compartment Responses to Sensory Stimulation , 2018, Cerebral cortex.

[5]  P. E. Kunkler,et al.  Calcium Waves Precede Electrophysiological Changes of Spreading Depression in Hippocampal Organ Cultures , 1998, The Journal of Neuroscience.

[6]  Patrick Degenaar,et al.  Photocycles of Channelrhodopsin‐2 , 2009, Photochemistry and photobiology.

[7]  D. Kirschner,et al.  A methodology for performing global uncertainty and sensitivity analysis in systems biology. , 2008, Journal of theoretical biology.

[8]  J. Keizer,et al.  Validity of the rapid buffering approximation near a point source of calcium ions. , 1996, Biophysical journal.

[9]  Feng Zhang,et al.  Optogenetics: opsins and optical interfaces in neuroscience. , 2014, Cold Spring Harbor protocols.

[10]  E. Bamberg,et al.  Ultra light-sensitive and fast neuronal activation with the Ca2+-permeable channelrhodopsin CatCh , 2011, Nature Neuroscience.

[11]  E. Bamberg,et al.  Optogenetic Control of Ca2+ and Voltage-Dependent Large Conductance (BK) Potassium Channels. , 2017, Journal of molecular biology.

[12]  K. Deisseroth,et al.  High-efficiency channelrhodopsins for fast neuronal stimulation at low light levels , 2011, Proceedings of the National Academy of Sciences.

[13]  Nicolas Liaudet,et al.  Astrocyte Ca2+ signalling: an unexpected complexity , 2014, Nature Reviews Neuroscience.

[14]  D. Attwell,et al.  Astrocyte calcium signaling: the third wave , 2016, Nature Neuroscience.

[15]  Stephen T. C. Wong,et al.  Vasodilation by in vivo activation of astrocyte endfeet via two-photon calcium uncaging as a strategy to prevent brain ischemia , 2013, Journal of biomedical optics.

[16]  M. London,et al.  Astrocytic Activation Generates De Novo Neuronal Potentiation and Memory Enhancement , 2018, Cell.

[17]  S. Oliet,et al.  Activity-dependent structural and functional plasticity of astrocyte-neuron interactions. , 2008, Physiological reviews.

[18]  J. Keizer,et al.  A single-pool inositol 1,4,5-trisphosphate-receptor-based model for agonist-stimulated oscillations in Ca2+ concentration. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[19]  Pramod P Khargonekar,et al.  Computational Modeling of Channelrhodopsin-2 Photocurrent Characteristics in Relation to Neural Signaling , 2013, Bulletin of mathematical biology.

[20]  Pierre J Magistretti,et al.  In Vivo Evidence for a Lactate Gradient from Astrocytes to Neurons. , 2016, Cell metabolism.

[21]  Richard J. Beckman,et al.  A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code , 2000, Technometrics.

[22]  H. Hirase,et al.  Cerebral Blood Flow Modulation by Basal Forebrain or Whisker Stimulation Can Occur Independently of Large Cytosolic Ca2+ Signaling in Astrocytes , 2013, PloS one.

[23]  T. Takano,et al.  Astrocyte-mediated control of cerebral blood flow , 2006, Nature Neuroscience.

[24]  M. Lauritzen,et al.  Rapid stimulus-evoked astrocyte Ca2+ elevations and hemodynamic responses in mouse somatosensory cortex in vivo , 2013, Proceedings of the National Academy of Sciences.

[25]  John C. Williams,et al.  Computational Optogenetics: Empirically-Derived Voltage- and Light-Sensitive Channelrhodopsin-2 Model , 2013, PLoS Comput. Biol..

[26]  K. McCarthy,et al.  Astrocytic Gq-GPCR-Linked IP3R-Dependent Ca2+ Signaling Does Not Mediate Neurovascular Coupling in Mouse Visual Cortex In Vivo , 2014, The Journal of Neuroscience.

[27]  D. Attwell,et al.  Glial and neuronal control of brain blood flow , 2022 .

[28]  N. Tsoukias,et al.  Modeling the role of endoplasmic reticulum-mitochondria microdomains in calcium dynamics , 2019, Scientific Reports.

[29]  Fahmeed Hyder,et al.  The micro-architecture of the cerebral cortex: Functional neuroimaging models and metabolism , 2008, NeuroImage.

[30]  Martin Falcke,et al.  How does intracellular Ca2+ oscillate: by chance or by the clock? , 2008, Biophysical journal.

[31]  A. Araque,et al.  Gi/o protein‐coupled receptors inhibit neurons but activate astrocytes and stimulate gliotransmission , 2019, Glia.

[32]  Dominique Muller,et al.  Astrocyte-Synapse Structural Plasticity , 2014, Neural plasticity.

[33]  H. Kettenmann,et al.  Different Mechanisms Promote Astrocyte Ca2+ Waves and Spreading Depression in the Mouse Neocortex , 2003, The Journal of Neuroscience.

[34]  L. Savtchenko,et al.  Disentangling astroglial physiology with a realistic cell model in silico , 2018, Nature Communications.

[35]  J. C. Jimenez,et al.  Local linearization filters for non-linear continuous-discrete state space models with multiplicative noise , 2003 .

[36]  C. Iadecola The Neurovascular Unit Coming of Age: A Journey through Neurovascular Coupling in Health and Disease , 2017, Neuron.

[37]  Hideyuki Okano,et al.  Optogenetic astrocyte activation evokes BOLD fMRI response with oxygen consumption without neuronal activity modulation , 2018, Glia.

[38]  P. Jung,et al.  Stochastic properties of Ca(2+) release of inositol 1,4,5-trisphosphate receptor clusters. , 2002, Biophysical journal.

[39]  Todd A Fiacco,et al.  Multiple Lines of Evidence Indicate That Gliotransmission Does Not Occur under Physiological Conditions , 2018, The Journal of Neuroscience.

[40]  R. Grossman,et al.  Volume and surface area estimates of astrocytes in the sensorimotor cortex of the cat , 1980, Neuroscience.

[41]  Vishnu B. Sridhar,et al.  In vivo Stimulus-Induced Vasodilation Occurs without IP3 Receptor Activation and May Precede Astrocytic Calcium Increase , 2013, The Journal of Neuroscience.

[42]  J. Filosa,et al.  Beyond neurovascular coupling, role of astrocytes in the regulation of vascular tone , 2016, Neuroscience.

[43]  Kira E. Poskanzer,et al.  Astrocytes regulate cortical state switching in vivo , 2016, Proceedings of the National Academy of Sciences.

[44]  M. Sofroniew,et al.  Astrocyte roles in traumatic brain injury , 2016, Experimental Neurology.

[45]  Lief E. Fenno,et al.  The development and application of optogenetics. , 2011, Annual review of neuroscience.

[46]  J. Sneyd,et al.  Models of the inositol trisphosphate receptor. , 2005, Progress in biophysics and molecular biology.

[47]  J Riera,et al.  Modeling the spontaneous Ca2+ oscillations in astrocytes: Inconsistencies and usefulness. , 2011, Journal of integrative neuroscience.

[48]  Grant R. Gordon,et al.  A Slow or Modulatory Role of Astrocytes in Neurovascular Coupling , 2015, Microcirculation.

[49]  T. Ozaki,et al.  Quantifying the uncertainty of spontaneous Ca2+ oscillations in astrocytes: particulars of Alzheimer's disease. , 2011, Biophysical journal.

[50]  W. C. Hall,et al.  High-speed mapping of synaptic connectivity using photostimulation in Channelrhodopsin-2 transgenic mice , 2007, Proceedings of the National Academy of Sciences.

[51]  J. Lujan,et al.  Simultaneous Ca2+ Imaging and Optogenetic Stimulation of Cortical Astrocytes in Adult Murine Brain Slices , 2020, Current protocols in neuroscience.

[52]  T. Ozaki A local linearization approach to nonlinear filtering , 1993 .

[53]  S. Oliet,et al.  Gliotransmitters Travel in Time and Space , 2014, Neuron.

[54]  Vladimir Parpura,et al.  Comparative analysis of optogenetic actuators in cultured astrocytes , 2014, Cell calcium.

[55]  Klas H. Pettersen,et al.  Ca2+ Signals in Astrocytes Facilitate Spread of Epileptiform Activity , 2018, Cerebral cortex.

[56]  H. Hirase,et al.  Calcium imaging reveals glial involvement in transcranial direct current stimulation-induced plasticity in mouse brain , 2016, Nature Communications.

[57]  B. Hyman,et al.  Synchronous Hyperactivity and Intercellular Calcium Waves in Astrocytes in Alzheimer Mice , 2009, Science.

[58]  D. Chudakov,et al.  Optogenetic experimentation on astrocytes , 2011, Experimental physiology.

[59]  J. Rinzel,et al.  Equations for InsP3 receptor-mediated [Ca2+]i oscillations derived from a detailed kinetic model: a Hodgkin-Huxley like formalism. , 1994, Journal of theoretical biology.

[60]  H. Hirase,et al.  Astrocytic calcium activation in a mouse model of tDCS—Extended discussion , 2016, Neurogenesis.

[61]  Hugues Berry,et al.  Astrocyte Networks and Intercellular Calcium Propagation , 2019, Springer Series in Computational Neuroscience.

[62]  K. Deisseroth,et al.  Ultrafast optogenetic control , 2010, Nature Neuroscience.

[63]  Martin Falcke,et al.  Calcium Signals Driven by Single Channel Noise , 2010, PLoS Comput. Biol..

[64]  Kazuto Masamoto,et al.  Unveiling astrocytic control of cerebral blood flow with optogenetics , 2015, Scientific Reports.

[65]  Pierre J. Magistretti,et al.  Lactate in the brain: from metabolic end-product to signalling molecule , 2018, Nature Reviews Neuroscience.