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Free intracellular calcium ([Ca2+]i) controls a wide range of cellular functions such as contraction, neurotransmitter and hormone release, metabolism, cell division and differentiation. Cytosolic Ca2+ levels are abnormal in cells exposed to toxicants and understanding how these levels become altered may improve our ability to design high-throughput methods for the sensitive detection of cellular responses to a toxic exposure. Because Ca2+ is involved in multiple aspects of cellular function, its role in signaling is complex. It is therefore necessary to identify the individual pathways targeted during toxicant exposure in order to use them as a tool for predictive measurements of toxicity and as targets for prevention or reversal of injury. This review illustrates several methods available for analysis of Ca2+ responses in vitro and their applicability for understanding mechanisms of toxicity at the molecular and cellular levels. The review will also consider the usefulness of Ca2+ imaging for predicting a unique signature for classes of toxicants. Towards this end, two methodological approaches for assessment of Ca2+ responses to toxicants are examined: steady state measurements and complex spatial and/or temporal measurements. Each of the methods described and appropriately used results in reliable and reproducible measurements which may be applied in a high-throughput fashion to individualize in vitro assessment of cellular responses caused by toxicants.
Free intracellular Ca2+ ([Ca2+]i) is a ubiquitious intracellular second messenger or signal transducer involved in the control of a wide range of cellular functions required for metabolism and survival. A stimulus-induced increase in [Ca2+]i is necessary for events such as contraction, neurotransmitter and hormone release, cell division, differentiation, and cell death. The calcium ion is capable of these diverse actions because [Ca2+]i is tightly regulated in time and space within a cell. Perturbations of intracellular Ca2+ homeostasis are a common feature of cellular injuries and toxic exposures that lead to cell dysfunction and cytotoxicity , , and . Analysis of Ca2+ signaling in cultured neuronal and glial cells has been employed to determine some of the complex cellular changes induced by environmental and pharmacologic neurotoxicants , ,  and . Also, alteration of intracellular Ca2+ homeostasis has been an important common mechanisms for environmental pollutants such as pyrethroids and organophosphate pesticides . However, the use of Ca2+ signaling measurements for high-throughput screening of potential neurotoxicants has not yet been broadly applied, as it requires a much more precise identification of individual Ca2+ pathways targeted by toxicants than is routinely available. If such pathways were better understood, changes in their activities could be used as a predictive measurement of toxicity or for development of novel strategies for prevention or reversal of injury , and .
The resting [Ca2+]i level in the cytosol is tightly regulated in the range of 100 nM, whereas extracellular Ca2+ levels are in the millimolar range. Maintenance of this steep gradient as well as regulation of Ca2+ transients that control many cellular processes are derived from two separate ON and OFF mechanisms (Figure 1) which constitute the Ca2+ signaling “toolkit”  and . The ON mechanisms that increase [Ca2+]i depend upon Ca2+ entry through channels in the plasma membrane or Ca2+ release from intracellular stores in the endoplasmic reticulum (ER) through ryanodine receptors (RYRs) or inositol 1,4,5-trisphosphate receptors (InsP3Rs). The OFF mechanisms remove Ca2+ from the cytosol by use of pumps in the plasma membrane or ER membrane. Other mechanisms for regulating cytosolic Ca2+ include cytosolic Ca2+ buffers and sequestration of Ca2+ in other organelles, such as mitochondria. Many chemicals and drugs are capable of affecting these ON and OFF mechanisms because each cell type has its own sensory mechanisms that can generate Ca2+ signals suitable to its physiology. Methods for analysis of the Ca2+ signal depend on the sensory mechanisms that generated it. In this report, screening methods are described for analysis of Ca2+ responses in astrocytes exposed to a variety of neurotoxicants. The utility of both steady state and dynamic Ca2+ responses are discussed relative to their potential for adaptation to high throughput screening of neurotoxicants.
Increases in [Ca2+]i that result from ON mechanisms are precisely encoded by their temporal and spatial organization. These Ca2+ signals act upon other signaling pathways in the cell which when activated can give rise to a variety of Ca2+ responses . For example, localized puffs of Ca2+ occur with the opening of a small number of IP3R Ca2+ channels within a cluster . These “point source” of increased [Ca2+]i are confined to a small region of the cytosol and are not propagated. In contrast, increases in [Ca2+]i may occur as global transients (i.e., an integrated [Ca2+]i response throughout the cell to a certain stimulus, irrespective of the origin or the starting point within the cell) or as spikes (i.e., a momentary sharp increase in [Ca2+]i followed by a sharp decrease to the basal level). Transients can emanate from one point in a cell and propagate through the cell as waves. Waves are seen as a rise and fall of [Ca2+]i that travels across the cell in milliseconds. Moreover, Ca2+ spikes or global transients can emanate from a cell and propagate through other cells as intercellular waves generated by mechanical or chemical stimuli if the cells are directly communicating either via gap junctions or paracrine signals (e.g., ATP).
In contrast to Ca2+ signals that are characterized by their amplitude, intracellular Ca2+ waves may also be propagated repetitively in the form of [Ca2+]i oscillations of uniform frequency (reviewed in  ). If waves are repetitive with a constant frequency within a cell, they are termed oscillations. In a few cell types such as astrocytes in culture, [Ca2+]i oscillations may be intrinsically generated (; personal observations); however, in most cells they are stimulated by specific receptor-activated chemicals. Their periodicity may range from seconds to many minutes and even hours. These oscillations are thought to constitute a frequency-encoded signal with a high signal-to-noise ratio that limits prolonged exposure of cells to high [Ca2+]i . It is noteworthy that frequency- but not amplitude-encoded Ca2+ signals are efficiently transmitted into the mitochondria as a mitochondrial Ca2+ transient that activate mitochondrial dehydrogenases for ATP generation . Mitochondria can therefore function to decode Ca2+ oscillations as well as transiently buffer cytosolic Ca2+. The measurement of periodicity of cytosolic and mitochondrial Ca2+ oscillations by fluorescence imaging techniques in live cells is limited by the lifetime of the fluorescent probe.
Due to the complexity of Ca2+ homeostasis and signaling pathways, comprehensive analysis of toxicant-induced alterations to these mechanisms can be challenging. Many specific molecular targets (membrane receptors, channels, and second messengers) are needed for the propagation of Ca2+ oscillations or waves. Pharmacological probing of these targets allows the mechanistic dissection of individual cell-specific and toxicant-modulated pathways involved in Ca2+ signaling . Evaluation of Ca2+ homeostasis in vitro can be performed with non-invasive imaging tools by use of a variety of strategies. Methodologies range from relatively simple steady state measurements of cytosolic and/or mitochondrial Ca2+ to more complex dynamic measurements of Ca2+ and Ca2+ signaling events induced by biological response modifiers that can be altered by toxicants. In the following section, the types of information that may be derived from different methods of analysis, including steady state, short-term kinetic (stimulated transient), and long-term kinetic measurements of Ca2+ homeostasis and signaling, are briefly discussed.
Examples used to illustrate different methods of Ca2+ analysis are drawn from experiments with two main cell types. The first cell type selected is the astrocytoma cell line CCF-STTG1 established from a specimen of Grade IV astrocytoma, (ATCC, Manassas, VA), based on the ability of these cells to generate Ca2+ waves in response to stimulants such as fetal bovine serum (FBS) or adenosine 5′-triphosphate (ATP) and to exhibit differences in Ca2+ signaling when treated with different toxicants . In addition, these cells do not exhibit connexin 43 and do not have gap junctions (unpublished observations). The second cell type is astrocytes in primary culture, which allow a degree of validation of results obtained from the astrocytoma cell line. In addition, we compared primary mouse astrocytes (wild type) and primary astrocyte cultures prepared from mice in which one copy of the neurofibromatosis type 1 gene product was ablated (nf1+/-). Disruption of Ca2+ wave propagation has been reported in keratinocytes cultured from patients in which nf1 is mutated, and is directly linked to the reduction of neurofibromin expression . It is therefore of interest to examine the roles of neurofibromin in astrocyte Ca2+ signaling in a genetic model in which Ca2+ wave propagation may be disrupted.
Chemicals used as models for studying the different types of Ca2+ signaling described in this review included propofol (2,6,-diiospropyl phenol; Disoprivan), valproic acid (VPA, 2-n-propylpentanoic acid), benzo-a-pyrene (BaP), benzo-e-pyrene (BeP), 5-methylchrysene (5-MeCr), lead and manganese. Propofol and VPA are two neuroactive drugs that have been investigated for cytotoxicity and biological responses in culture. They were selected as model compounds because they are neurotoxic to the developing nervous system in vivo. Propofol is a widely used intravenous general anesthetic that has also been used to provide long-term sedation for patients in intensive care units and is thought to have few side effects. In the central nervous system, propofol induces a dose-dependent suppression of awareness. Prolonged sedation with propofol may cause neurologic sequelae in children , , and  and short-term sedation may cause convulsions ,  and . The mechanisms of propofol action and potential toxicity have been studied in vitro; however, results have been conflicting (i.e., clinical levels may be without effect in some systems but not others, and different endpoints used among studies do not permit direct comparisons) .
VPA is an antiepileptic drug used in the US since 1978 . Human brain concentrations of sodium valproate following 72 hours of therapy in nine neurosurgical patients were found to range from 6.8% to 27.9 % the blood concentration . More recently, it has been used in the treatment of bipolar affective disorders  and migraine headaches . Its clinical use is increasing, which increases the potential for associated toxicity and the need for further studies of its effects on Ca2+ homeostasis. Exposure to VPA at therapeutic doses during early pregnancy can cause neural tube defects in humans and in mice . The mechanism of teratogenesis is unknown, though most toxicity is attributable to the parent compound, rather than a metabolite . This factor renders the drug suitable for the proposed direct testing in vitro.
BeP, BaP and 5-MeC are polycyclic aromatic hydrocarbons (PAHs) that are persistent environmental pollutants. Human exposure to PAHs occurs primarily through the smoking of tobacco, inhalation of polluted air, and ingestion of food and water contaminated by combustion effluents. The effects of diol epoxide metabolites of PAHs on [Ca2+]i may also play a role in tumorigenesis . Numerous epidemiologic studies have shown a clear association between exposure to various mixtures of PAHs containing BaP and increased risk of cancer . BeP is structurally very similar to BaP, but unlike BaP it is a weak aryl hydrocarbon receptor ligand and has a weak or no carcinogenic activity  and . This makes BeP an ideal negative control for use in addition to regular vehicle controls in experiments. Recent evidence suggests that disruption of cellular signaling pathways and cellular homeostasis can contribute significantly to the toxicity of BaP . BaP also induces, through cytochrome P450-dependent metabolism, a dose-dependent increase in intracellular Ca2+ in the human mammary epithelial cell line MCF-10A , and apoptosis in B cells via Ca2+-dependent mechanisms . In general, a strong association exists between PAHs and changes in Ca2+ homeostasis 
Lead is an environmental neurotoxicant that has been well studied in vitro. The blood and brain level of lead can be higher than 10 μg/ml and 3 ug/ml respectively in some cases  and long term exposure has been suggested as a risk factor in the development of Parkinson’s disease . Many effects of lead on neuronal and glial cultured cells have been reported such as altered glutamate metabolism , altered calcium homeostasis , oxidative or mitochondrial stress and reduced basal respiratory rate  and .
Manganese is also an environmental neurotoxicant. Low levels of manganese are present in water and food, and occupational exposures can occur with inhalation of manganese particulates from welding . Manganese has been shown to inhibit Na-dependent Ca2+ efflux  and respiration in brain mitochondria  both of which are necessary to maintain ATP as well as Ca2+ levels.
A simple measurement of cellular health is the steady state ratio of cytosolic to mitochondrial [Ca2+]. Steady state measurements of cytosolic and mitochondrial Ca2+ concentrations are straight forward and can be useful to evaluate perturbations of Ca2+ homeostasis that result when the ON and OFF mechanisms (Figure 1) are compromised. [Ca2+]i regulation is compromised if the OFF mechanisms cannot keep pace with Ca2+ influx in a toxicant-challenged cell, i.e., when the capacity to transfer cyotsolic Ca2+ to the endoplasmic reticulum, mitochondria and/or the extracellular space is exceeded. When cytosolic Ca2+ levels remain elevated for an extended period of time, mitochondrial Ca2+ levels increase to pathological levels. This increase can lead to depolarization of mitochondria and cell death.
Probes for monitoring cytosolic Ca2+ include fura-2, indo-1, fluo-4, and others. In addition, fluo-5F, fluo-4FF, fluo-5N and mag-fluo-4 can be used for measuring Ca2+ levels in endoplasmic reticulum (ER) and rhod-2 can be used for mitochondrial Ca2+ levels. Fura-2 is a ratiometric probe with dual excitation wavelengths of 340 nm (Ca2+-bound) and 380 nm (Ca2+-free) and an emission wavelength of 510 nm. The shift in wavelength upon binding of Ca2+ by the dye is independent of Ca2+ concentrations within physiological limits, and thus fura-2 allows accurate measurements of Ca2+ concentrations. Indo-1 is also a ratiometirc probe that allows sensitive quantification of Ca2+ concentrations. When indo-1 is excited at 350 nm, its emission wavelength shifts from 475 nm to 400 nm upon binding to Ca2+. In contrast to fura-2 and indo-1, fluo-4 is excited by visible light (close to 488 nm), is nonfluorescent, and becomes fluorescent upon binding to Ca2+ at one emission wavelength (close to 510 nm). Fluo-4 provides higher signal levels than fura-2 or indo-1 for confocal microscopy and high-throughput screening, such as microplate assays, because it exhibits a large fluorescence intensity increase upon binding Ca2+. However, because it is a nonratiometric dye that does not exhibit a spectral shift upon binding to Ca2+, fluo-4 is less useful than the other dyes for quantitative Ca2+ measurements but more useful for measuring relative changes in dynamic Ca2+ measurements. Its analogs fluo-5F, fluo-4FF,and fluo-5N have lower Ca2+-binding affinities than fluo-4, and are thus useful for detecting Ca2+ in environments with high Ca2+ levels that would saturate fluo-4, such as the ER. Rhod-2 is a long wavelength Ca2+ fluorophore with excitation and emission maxima at 552 nm and 581 nm, respectively. It is a cationic dye that is taken up by mitochondria. Cytosolic and mitochondrial Ca2+ concentrations can be measured simultaneously in cells loaded with fluo-4 and rhod-2, as both are excited by visible light and their emission maxima are sufficiently distinct to allow separate collection of their signals.
Simultaneous evaluation of cytosolic and mitochondrial Ca2+ levels (Figure 2) is a particularly useful combination for steady state measurements. The choice of fluorescent probes depends on the type of information desired (quantitative or qualitative data) and must be matched with a suitable combination of filter sets used on a particular instrument for measuring excitation and emission spectra of these probes. In addition, the probe choice should be tested with the toxicant or treatment under investigation to avoid any possible interactions between the two  For example, interactions have been seen between Ca2+ probes and metals such as Pb2+ or Mg2+  and . Most of the examples presented in this report were performed with either fluo-4 for measuring cytosolic Ca2+ or a combination of fluo-4 and rhod-2 for measuring cytosolic Ca2+ and mitochondrial Ca2+ concentrations, as well as the ratio of mitochondrial to cytosolic [Ca2+].
Steady state cytosolic and mitochondrial Ca2+ measurements in cultured cells exposed for some interval to a specific treatment can be evaluated by a simple calculation of mean fluorescence intensity of the Ca2+-sensitive probe. The ratio (R) of mitochondrial to cytosolic [Ca2+] can be a more sensitive parameter for quantification of Ca2+ variations in cells than either value alone ,  and . Examples of this type of measurement are shown in Figure 3. In these examples, propofol and VPA were selected as models for study because their neurotoxic mechanisms may involve altered Ca2+ homeostasis , ,  and . The two drugs were initially screened for cytotoxicity following 24 or 72 hrs exposure to a range of concentrations that included therapeutic levels. Concentrations of propofol were tested that are close to 20 μM, the steady state blood concentration of propofol in children treated with this anesthetic is . Therapeutic concentrations of propofol in human brain have not been reported. The data revealed that propofol causes a concentration-dependent decrease in cell viability: the concentrations that inhibit cell viability by 50% (IC50) relative to controls are 14±0.5 μM at 24 h and 27±3.0 μM at 72 h . The higher IC50 after exposure for 72 h may have resulted from detachment of non-viable cells, which were lost from the cultures when they were rinsed, and an adaptive response to propofol. In contrast, VPA was non-cytotoxic at 1-4 mM (data not shown), where 1mM is close to therapeutic levels . In the example shown in Figure 3, mitochondrial Ca2+ levels significantly increased while cytoplasmic Ca2+ levels decreased at a propofol concentration (1 μM for 72 h) which is much lower than the IC50 (27 μM). The ratio of mitochondrial to cytosolic [Ca2+] exhibited a significant increase in propofol-treated cells. In contrast, VPA treatment had no effect, supporting its lack of cytotoxicity in this experimental paradigm. This simple analysis of mitochondrial to cytosolic [Ca2+] demonstrates that propofol and VPA have distinct effects on Ca2+ homeostasis in CCF-STTG1cells, but offers no detailed information on the mechanisms of action of either drug.
A better understanding of the mechanism of the propofol effect on steady state [Ca2+]i in CCF-STTG1cells can be achieved with specific pharmacologic agents. In the example shown in Figure 2C, diazoxide, a mitochondrial ATP-dependent K+ channel activator was used to probe involvement of these channels in CCF-STTG1 cells. We found that in cells exposed for 72 h to 20 μM propofol, treatment with 10 μM diazoxide for 1 h prior to imaging reverses the increase in the ratio of mitochondrial to cytosolic [Ca2+]. This finding indicates the activation of mitochondrial ATP-dependent K+ channels by propofol treatment (Figure 2C).
Steady state measurements of global cytosolic and mitochondrial Ca2+ levels are easy to perform and interpret. They are carried out at a single time point and are amenable for use in single whole cells, as well as groups of cells. Steady state measurements are therefore useful for obtaining data from a population of cells. Although static Ca2+ levels are the easiest parameter to measure as an indicator of Ca2+ homeostasis, and the most amenable to high throughput screening assays, the information they provide is limited. Static measurements do not provide detailed information on mechanisms of toxic action. Though they detect positives readily, they may produce false negatives by missing more subtle positives. Thus, cells may be damaged and their Ca2+ regulatory mechanisms impaired without detectable effects on steady state cytosolic and mitochondrial Ca2+ measurements. Therefore, even in the face of potentially correct negatives, it is reasonable to follow up static measurements with dynamic measurements of Ca2+ homeostasis.
In addition to the advantages and drawbacks of steady state measurements as discussed, the choice of fluorophores contributes its own set of strengths and limitations. Nonratiometric Ca2+-sensitive fluorophores such as fluo-4 and rhod-2 are convenient to use because they can be loaded easily into cells in the acetoxymethyl form and their excitation and emission maxima are in the visible range. Both of these dyes are bright and are accurate for recording relative changes in intensity compared to the basal level. However, quantification of specific intracellular Ca2+ levels is less precise with nonratiometric probes than with ratiometric probes. Another drawback of nonratiometric Ca2+ probes is that they are more sensitive to cell variabilities in the extent of dye loading and photobleaching. However, the expression of cytosolic and mitochondrial Ca2+ data obtained with fluo-4 and rhod-2 as a ratio eliminates variables that might arise from cytosolic fluorophore concentration, cell size, cell shape, and cell number . In this manner, fluo-4 and rhod-2 can be used as ratiometric dyes.
A more sophisticated approach to analyzing the mechanistic effects of a toxicant on Ca2+ homeostasis is to probe the effects of the toxicant on the Ca2+ transient. Several types of stimulants can be used to induce a transient increase in [Ca2+]i that can be monitored for up to five minutes, such as hormones, ATP, and mechanical stimulation. This type of short term kinetic analysis allows a more detailed probing of the individual contributions of membrane ion channels on the ER and plasma membrane to a toxic response. As an example, further analysis of [Ca2+]i was carried out in propofol-treated CCF-STTG1 cells stimulated with fetal bovine serum (FBS). In control cells, FBS stimulates a rapid increase in cytosolic [Ca2+]i that returns to baseline within several minutes. Propofol significantly decreases the amplitude of this Ca2+ transient. Use of several pharmacological agents to try to reverse or block the propofol effect on this Ca2+ transient helped identify a VOC channel opener (Bay-K 8644) that can reverse this effect. This result, together with the previously mentioned reversal by diazoxide of the propofol effect on the ratio of mitochondrial to cytosolic and [Ca2+], identified two specific molecular effects of propofol: the deactivation of L-type VOC channels and the activation of mitochondrial K+-ATP channels .
Returning to the possibility that steady state measurements may produce false negatives, we conducted short-term kinetic measurements of stimulated Ca2+ transients in CCF-STTG1cells treated with VPA. VPA had no effect on FBS-induced transient Ca2+ response (data not shown). This result, like the steady state measurements previously described, supports the conclusion that propofol and VPA have different mechanisms of toxicity but does not yet rule out possible effects of VPA on Ca2+ signaling.
Short-term global kinetic measurements may provide additional information to supplement steady state [Ca2+] measurements. Data are acquired by measuring cytosolic [Ca2+] in a whole cell or group of cells at multiple time points for several minutes after stimulating a global Ca2+ transient. The effect of a toxicant on the amplitude of the transient can be observed, and pharmacological agents that affect specific ON or OFF switches can be tested in order to identify mechanisms affected by the toxicant. Short term kinetic measurements of stimulated [Ca2+] transients are useful for obtaining population data. Similar to the ratio (R) of mitochondrial to cytosolic [Ca2+], the short time transient response may detect mechanistic differences between the actions of two toxicants on a cell but may also produce false negatives. Because of this limitation, stimulation of complex intracellular Ca2+ responses involving multiple signaling pathways would be a motif for applying more powerful, dynamic measurements of Ca2+ signaling and homeostasis to further investigate chemical or toxicant effects. The ultimate goal of dynamic measurements, which will be discussed in the next section, is to develop a model that includes all targets affected by toxicant and identify them with help of specific inhibitors and activators.
Dynamic Ca2+ measurements can be monitored in cells exposed to toxicant treatments for a fixed interval followed by stimulation of cells with a hormone, neurotransmitter, mechanical stimulus or other biological response modifier to initiate, intracellular Ca2+ waves or oscillations and intercellular Ca2+ waves. Analysis of intercellular Ca2+ waves usually involves the measurement of the average wave velocity, amplitude and width  and . Wave velocities vary from 0.1-1 μm/sec (slow) to 10-50 μm./sec (fast) . Another useful method to analyze waves is to dissect the stimulant-induced global Ca2+ response into 3 separate parameters (Figure 4):
The decay in fluorescence intensity is due to the disappearance of the wave and not photobleaching, as acquisition parameters were adjusted to minimize photobleaching to less than 5% of the total signal.
Data in Figures 5 illustrate specific effects of several chemical treatments on the parameters of the Ca2+ wave. Figure 5A illustrates the changes in half-life, rate, of the Ca2+ wave in CCF-STTG1 cells treated with propofol (0, 20 μM) for 72 hrs. In this case, propofol reduced the half-life of the wave, increased the rate of wave propagation and had no effect on the wave span (data not shown). Another example of wave analysis is shown in Figure 4B where CCF-STTG1 cells were treated with different concentrations of valproic acid (0, 1, 2, 4 mM) for 72 hrs. Significant changes in wave propagation were also observed with VPA treated cells only at high concentration (4 mM). The reduced half-life and increased rate of the wave may be linked to ATP production necessary for wave propagation. A decrease in half-life and increase in rate were observed in the same cell type exposed to Pb and Mn (Figure 5C and 5D). Another example (Figure 6) shows the wave analysis applied to primary astrocytes from wild type and nf1 mutant mice. This example shows that neurofibromin has a significant effect only on the rate of the wave. Because neurofibromin increases ATP production  and  and propofol, valproic acid, and manganese decrease ATP production ,  and , the above examples correlate well with this data demonstrating that the wave analysis may be directly linked to ATP production and can be used as an indicator for analysis of significant alteration in ATP production. In summary, the wave analysis method indicates that reproducible measurements of chemically-induced changes in Ca2+ waves can be made in cultured cells and that individual toxicants can give rise to a signature pattern of altered Ca2+ responses.
While the analysis of Ca2+ waves is performed by evaluating the parameters listed above, analysis of Ca2+ oscillations can be enhanced by incorporating additional steps that include transformation of the signal from the time domain to the frequency domain. When the Ca2+ oscillations are uniform or stationary (Figure 7), the analysis can be accomplished by Fast Fourier Transform (FFT) that will identify the frequency as well as the amplitude of these oscillations [. Figure 7A shows an example of oscillations induced by 20 nM oxytocin in a uterine smooth muscle (myometrial) cell type. These oscillations, which were monitored for approximately 2 hrs , exhibit a uniform frequency observed between 40 and 80 min following treatment with oxytocin. FFT was applied to this oscillatory signal to determine the frequency and amplitude (Figure 7B). When the Ca2+ oscillations are not stationary, FFT may be used to identify the frequencies present in a Ca2+ signal. However, Wavelet Transform would be the method of choice to identify the time at which these frequencies occurred . We first developed the FFT technique to analyze oxytocin-induced oscillatory Ca2+ signals in liver and myometrial cell types in order to identify mechanisms of toxicity of BaP  and . In the myometrial cell line, BaP was found to alter oxytocin-induced Ca2+ oscillations by altering the receptor tyrosine kinase pathway, membrane channels, and PKC activity. Use of receptor tyrosine kinase activators such as serum or EGF primarily restore the function of the tyrosine kinase pathway and secondarily restore membrane channels and PKC activity, thereby reversing the effects of BaP on the frequency of oxytocin-induced Ca2+ oscillations.
FFT is particularly valuable when multiple treatment effects must be assessed. For example, a similar FFT analysis in CCF-STTG1 cells treated with BaP, 5-MeCr, and a binary mixture of BaP and 5-MeCr for 24 hrs, revealed that BaP and 5-MeCr alone or in a binary mixture induced a significant decrease in the frequency of Ca2+ oscillations (Figure 8), as well as a significant decrease in the number of cells exhibiting Ca2+ oscillations (data not shown). In addition, full restoration of Ca2+ oscillations in CCF-STTG1 cells was achieved (Figure 8, bottom panel) with the same chemical interventions applied to BaP-treated myometrial cells, i.e., the use of EGF and barium acetate or tetraethylammonium to restore receptor tyrosine kinase activity and K+ channel function. These results indicate that BaP and 5-MeC exert their effects through the same mechanisms in myometrial cells and CCF-STTG1 cells. It is important to note that BeP had no effect on the frequency of Ca2+ oscillations (data not shown).
For both types of dynamic measurements (Ca2+ waves or oscillations), a mathematical model comprised of equations representing the different ON and OFF pathways (including receptor activation, signaling steps, and feed-back loops involved in regulating Ca2+ levels within different intracellular compartments) may be developed and used to identify the contribution of each parameter in the complex Ca2+ signal generated by neurotransmitter or hormone stimulation. Such models , , ,  and , once established for each cell type, may be used to determine the source of altered Ca2+ signal induced by toxicant treatment.
As mentioned earlier, global Ca2+ transients can propagate through the cell as waves, adding a spatial dimension to analysis of Ca2+ homeostasis. Ca2+ waves may also be propagated repetitively as [Ca2+]i oscillations of uniform frequency. Dynamic measurements of Ca2+waves and oscillations can be made in time and space. Dynamic measurements involving Ca2+ oscillations or waves require extended periods of data collection (minutes to hours) and the use of inhibitors and activators of specific ON and OFF pathways in order to construct a model for a specific cell type. Dynamic measurements of waves involve more extensive mathematical analysis than steady state and short term kinetic analyses. They are necessary for the analysis of oscillations and they require complex mathematical modeling with non-linear differential equations. However, once the model for a given cell and toxicant is built, the benefits will be enormous as one can dissect the specific effects of a biological response modifier on cellular Ca2+ homeostasis and signaling machinery. It then becomes possible to more rapidly screen and compare the action of a variety of toxicants and biological response modifiers to the unexposed control sample. Image analysis of Ca2+ signaling in multiple samples and mathematical modeling of normal Ca2+ responses are amenable to automation and could be extended to high throughput analysis of potential neurotoxicants.
Abnormal spatial and temporal alterations in Ca2+ signaling occur in cells exposed to toxicants, as well as in cells in numerous disease states. Methodologies for detecting and analyzing subtle alterations in real time with non-invasive imaging tools are becoming increasingly refined. These methods include comprehensive analyses of both steady state and dynamic Ca2+ levels, partitioning of Ca2+ between the cytosol and mitochondria, and assessment of the functional status of specific molecular components that maintain basal ([Ca2+]i) or that take part in the propagation of Ca2+ oscillations or waves.
There is no single bioassay or risk assessment strategy that can be used for toxicity assessment of toxicants. In our hands, non-invasive imaging tools in conjunction with fluorescent biomarkers and biosensors of cellular function have proven useful for investigating mechanisms of toxicant action in culture systems. It has also been possible to identify specific cellular targets of injury and restore the function of these targets in cultured cells. However, it is important that mechanistic data derived from cultured cells be useful for translation to the context of the biological complexity of tissue and organ histoarchitecture (multiple cell types receiving complex signals in a three dimensional matrix) and numerous other confounding factors such as genetic susceptibility, nutrition/health of the exposed individual, and the duration and timing of exposure, to name a few. An understanding of individual Ca2+ signaling pathways that are targeted by specific toxicants provides a better screening for more complex mechanistic analysis of cellular injury. The tools and approaches described in this perspective paper produce reliable measurements that can be applied to high throughput organ- and tissue-level assessment of cellular responses caused by toxicants.
Calcium imaging performed in the College of Veterinary Medicine & Biomedical Sciences Image Analysis Laboratory, was supported by NIH-NCRR (1 S10 RR22532-01), and NIH-NIEHS grants P30-ES09106, P42-ES04917 and T32 ES07273. Propofol and VPA research was also supported by a Colgate-Palmolive grant for Alternative Research.
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