Estimating weak ratiometric signals in imaging data. I. Dual-channel data.

Ratiometric fluorescent indicators are becoming increasingly prevalent in many areas of biology. They are used for making quantitative measurements of intracellular free calcium both in vitro and in vivo, as well as measuring membrane potentials, pH, and other important physiological variables of interest to researchers in many subfields. Often, functional changes in the fluorescent yield of ratiometric indicators are small, and the signal-to-noise ratio (SNR) is of order unity or less. In particular, variability in the denominator of the ratio can lead to very poor ratio estimates. We present a statistical optimization method for objectively detecting and estimating ratiometric signals in dual-wavelength measurements of fluorescent, ratiometric indicators that improves on standard methods. With the use of an appropriate statistical model for ratiometric signals and by taking the pixel-pixel covariance of an imaging dataset into account, we are able to extract user-independent spatiotemporal information that retains high resolution in both space and time.

[1]  Clive R. Bagshaw,et al.  The kinetics of calcium binding to fura‐2 and indo‐1 , 1987, FEBS letters.

[2]  B. Herman,et al.  Assessment of Fura-2 for measurements of cytosolic free calcium. , 1990, Cell calcium.

[3]  Sean S Reagin,et al.  New statistical methods enhance imaging of cameleon fluorescence resonance energy transfer in cultured zebrafish spinal neurons. , 2007, Journal of biomedical optics.

[4]  M. Poo,et al.  Filopodial Calcium Transients Promote Substrate-Dependent Growth Cone Turning , 2001, Science.

[5]  M. Whitaker,et al.  The initiation and propagation of the fertilization wave in sea urchin eggs , 2000, Biology of the cell.

[6]  G. Somjen,et al.  Two mechanisms that raise free intracellular calcium in rat hippocampal neurons during hypoosmotic and low NaCl treatment. , 2000, Journal of neurophysiology.

[7]  J. Kao,et al.  Practical aspects of measuring [Ca2+] with fluorescent indicators. , 1994, Methods in cell biology.

[8]  F. Maxfield,et al.  Local cytoplasmic calcium gradients in living mitotic cells , 1985, Nature.

[9]  B. Herman,et al.  Measurement of intracellular calcium. , 1999, Physiological reviews.

[10]  L. Sirovich,et al.  Extraction of the average and differential dynamical response in stimulus-locked experimental data , 2005, Journal of Neuroscience Methods.

[11]  Jun Li,et al.  Early Development of Functional Spatial Maps in the Zebrafish Olfactory Bulb , 2005, The Journal of Neuroscience.

[12]  J. H. Hanks Hanks' balanced salt solution and pH control , 1975 .

[13]  J. Schmee An Introduction to Multivariate Statistical Analysis , 1986 .

[14]  D. Malchow,et al.  Intracellular calcium during chemotaxis of Dictyostelium discoideum: a new fura-2 derivative avoids sequestration of the indicator and allows long-term calcium measurements. , 1992, European journal of cell biology.

[15]  G R Bright,et al.  Fluorescence ratio imaging microscopy: temporal and spatial measurements of cytoplasmic pH , 1987, The Journal of cell biology.

[16]  S. Mccarthy,et al.  Use of fluo-3 to measure cytosolic Ca2+ in platelets and neutrophils. Loading cells with the dye, calibration of traces, measurements in the presence of plasma, and buffering of cytosolic Ca2+. , 1990, The Biochemical journal.

[17]  R Y Tsien,et al.  Voltage sensing by fluorescence resonance energy transfer in single cells. , 1995, Biophysical journal.

[18]  M. Weiner,et al.  Suppression of motion artifacts in fluorescence spectroscopy of perfused hearts. , 1992, The American journal of physiology.

[19]  Mark A Masino,et al.  Imaging neuronal activity during zebrafish behavior with a genetically encoded calcium indicator. , 2003, Journal of neurophysiology.

[20]  S. Pizer,et al.  The Image Processing Handbook , 1994 .

[21]  Y. Lam,et al.  Imaging membrane potential with voltage-sensitive dyes. , 2000, The Biological bulletin.

[22]  R. Tsien,et al.  Fluorescent indicators for Ca2+based on green fluorescent proteins and calmodulin , 1997, Nature.

[23]  Ehud Y Isacoff,et al.  A Genetically Encoded Optical Probe of Membrane Voltage , 1997, Neuron.

[24]  R Y Tsien,et al.  Improved indicators of cell membrane potential that use fluorescence resonance energy transfer. , 1997, Chemistry & biology.

[25]  R. Tsien,et al.  A new generation of Ca2+ indicators with greatly improved fluorescence properties. , 1985, The Journal of biological chemistry.

[26]  Peter Lipp,et al.  Ratiometric confocal Ca2+-measurements with visible wavelength indicators in isolated cardiac myocytes , 1993 .

[27]  J. Bischofberger,et al.  Different spatial patterns of [Ca2+] increase caused by N‐ and L‐type Ca2+ channel activation in frog olfactory bulb neurones. , 1995, The Journal of physiology.

[28]  J. Ando,et al.  Endothelial Ca2+ waves preferentially originate at specific loci in caveolin-rich cell edges. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[29]  C. Keith,et al.  Preferential initiation of PC12 neurites in directions of changing substrate adhesivity , 2002, Journal of neuroscience research.

[30]  L. Sirovich,et al.  An Optimization Approach to Signal Extraction from Noisy Multivariate Data , 2001, NeuroImage.

[31]  Kevin Truong,et al.  FRET-based in vivo Ca2+ imaging by a new calmodulin-GFP fusion molecule , 2001, Nature Structural Biology.

[32]  Lawrence Sirovich,et al.  Analysis Methods for Optical Imaging , 2001 .

[33]  P. Somerharju,et al.  Fluorescence studies of dehydroergosterol in phosphatidylethanolamine/phosphatidylcholine bilayers. , 1999, Biophysical journal.

[34]  T. Pozzan,et al.  In vivo monitoring of Ca2+ uptake into mitochondria of mouse skeletal muscle during contraction , 2004, The Journal of cell biology.

[35]  J. Robson,et al.  Application of fourier analysis to the visibility of gratings , 1968, The Journal of physiology.