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Research ArticleCELL BIOLOGY AND SIGNAL TRANSDUCTION
Open Access

Systems Dynamic Modeling of the Stomatal Guard Cell Predicts Emergent Behaviors in Transport, Signaling, and Volume Control

Zhong-Hua Chen, Adrian Hills, Ulrike Bätz, Anna Amtmann, Virgilio L. Lew, Michael R. Blatt
Zhong-Hua Chen
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Adrian Hills
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Ulrike Bätz
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Anna Amtmann
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Virgilio L. Lew
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Michael R. Blatt
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  • For correspondence: michael.blatt@glasgow.ac.uk

Published July 2012. DOI: https://doi.org/10.1104/pp.112.197350

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    Figure 1.

    Macroscopic outputs from the OnGuard model resolved over the diurnal Reference Cycle (see text) with the standard environmental parameters of 10 mm KCl, 1 mm CaCl2, and pH 6.5. Data represent a 5-d window of the stable Reference Cycle (12 h light:12 h dark, indicated by bars above). OnGuard model parameters are those described in the preceding article (Hills et al., 2012). Shown are plasma membrane and tonoplast voltage (A), stomatal aperture, turgor pressure, and total guard cell volume (B), and the percentage of cell volume occupied by the vacuole (C).

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    Figure 2.

    K+ contents and analysis of K+ fluxes at the plasma membrane and tonoplast resolved over the diurnal Reference Cycle as described in Figure 1 (12 h light:12 h dark, indicated by bars above). Shown are cytosolic and vacuolar [K+] (A), the net K+ flux across the plasma membrane and tonoplast (B), the K+ flux through the K+-permeable transporters at the plasma membrane, comprising the two K+ channels and the H+-K+ symporter (C), and the K+ flux through the K+-permeable transporters at the tonoplast, comprising the TPK and FV channels (D). K+ flux through the TPC channel accounted for less than 1% of either of the other channel fluxes, and has therefore been omitted for purposes of clarity. Note that positive flux is defined as movement of the ionic species (not the charge) out of the cytosol, either across the plasma membrane or the tonoplast.

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    Figure 3.

    Suc and malic acid synthesis, total Mal contents, and analysis of Mal2− fluxes at the plasma membrane and tonoplast resolved over the diurnal Reference Cycle as described in Figure 1 (12 h light:12 h dark, indicated by bars above). Shown are the rates of Suc and Mal synthesis and metabolism (A), total cytosolic and vacuolar [Mal] (B), the net flux of Mal2− across the plasma membrane and tonoplast (C), the Mal2− flux through the Mal2−-permeable transporters at the plasma membrane, comprising the SLAC and R- (ALMT-)type anion channels (D), and the Mal2− flux through the Mal2−-permeable transporters at the tonoplast, comprising the VMAL and VCL channels (E). Note that positive flux is defined as movement of the ionic species (not the charge) out of the cytosol, either across the plasma membrane or the tonoplast.

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    Figure 4.

    Chloride contents and analysis of Cl− fluxes at the plasma membrane and tonoplast resolved over the diurnal Reference Cycle as described in Figure 1 (12 h light:12 h dark, indicated by bars above). Shown are total cytosolic and vacuolar [Cl−] (A), the net flux of Cl− across the plasma membrane and tonoplast (B), the flux of Cl− through the Cl−-permeable transporters at the plasma membrane, comprising the SLAC and R- (ALMT-)type anion channels and H+-Cl− symporter (C), and the flux of Cl− through the Cl−-permeable transporters at the tonoplast, comprising the VCL channel and CLC H+-Cl− antiporter (D). Note the difference in scales between C and D. Note that positive flux is defined as movement of the ionic species (not the charge) out of the cytosol, either across the plasma membrane or the tonoplast.

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    Figure 5.

    Cytosolic and vacuolar pH, and analysis of H+ fluxes across the plasma membrane and tonoplast resolved over the diurnal Reference Cycle as described in Figure 1 (12 h light:12 h dark, indicated by bars above). Shown are cytosolic and vacuolar pH, pHc, and pHv, respectively (A), the net H+ flux across the plasma membrane and tonoplast (B), the H+ flux through the H+-permeable transporters at the plasma membrane, comprising the H+-ATPase, and the H+-K+ and H+-Cl− symporters (C), and the H+ flux through the H+-permeable transporters at the tonoplast, comprising the VH+-ATPase, VH+-PPase, the CLC H+-Cl− antiporter, and the CAX H+-Ca2+ antiporter (D). Note that positive flux is defined as movement of the ionic species (not the charge) out of the cytosol, either across the plasma membrane or the tonoplast.

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    Figure 6.

    Total cytosolic and vacuolar [Ca2+], cytosolic-free [Ca2+], and analysis of Ca2+ fluxes across the plasma membrane and tonoplast resolved over the diurnal Reference Cycle as described in Figure 1 (12 h light:12 h dark, indicated by bars above). Shown are the total cytosolic and vacuolar [Ca2+] (A), [Ca2+]i (B), the net flux of Ca2+ across the plasma membrane and tonoplast (C), the Ca2+ flux through the Ca2+-permeable transporters at the plasma membrane, comprising the hyperpolarization-activated Ca2+ channel and the Ca2+-ATPase (D), and the flux of Ca2+ through the Ca2+-permeable transporters at the tonoplast, comprising the Ca2+-ATPase, the CAX H+-Ca2+ antiporter, and the TonVCa Ca2+ channel (E). Note the difference in scales between D and E. Note that positive flux is defined as movement of the ionic species (not the charge) out of the cytosol, either across the plasma membrane or the tonoplast.

  • Figure 7.
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    Figure 7.

    [Ca2+]i and analysis of the energetics for Ca2+ flux across the plasma membrane and tonoplast resolved over the diurnal Reference Cycle as described in Figure 1 (12 h light:12 h dark, indicated by bars above). Shown in A and F are the current-voltage curves for the dominant Ca2+ transporters at the plasma membrane and tonoplast, respectively. Total membrane current is indicated in each case by the dotted line; the free-running membrane voltage is defined by the point at which this line crosses the voltage axis. Also summarized are the plasma membrane and tonoplast voltages (B), the [Ca2+]i (C), and the Ca2+ channel and Ca2+-ATPase fluxes at the plasma membrane (D) and tonoplast (E). Current-voltage curves are cross-referenced to time points in B to E by letter. Time point b is characterized by plasma membrane hyperpolarization, which favors Ca2+ influx through the Ca2+ channels at the plasma membrane (A); time point c is characterized by plasma membrane depolarization, which favors Ca2+ efflux through the plasma membrane Ca2+-ATPase. Note the difference in scales between D and E, which underlines the predominance of Ca2+ circulation between the cytosol and the endomembrane store of the vacuole. Note that positive flux is defined as movement of the ionic species (not the charge) out of the cytosol, either across the plasma membrane or the tonoplast.

  • Figure 8.
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    Figure 8.

    [Ca2+]i and analysis of the Ca2+ flux across the plasma membrane and tonoplast during voltage and [Ca2+]i excursions at the end of the daylight period. Shown are the plasma membrane and tonoplast voltages, and the stomatal aperture (B), the Ca2+ influx through the Ca2+ channels at the plasma membrane and tonoplast (C), the Ca2+ efflux through the plasma membrane and tonplast Ca2+ ATPases (D), and the [Ca2+]i (E). Current-voltage curves for these Ca2+ transporters at the plasma membrane and tonoplast are shown in E and F, respectively. Total membrane current is indicated in each case by the dotted line; the free-running membrane voltage is defined by the point at which this line crosses the voltage axis. Current-voltage curves are cross-referenced to time points in B to E by letter. As in Figure 7, time point a is characterized by plasma membrane hyperpolarization, which favors Ca2+ influx through the Ca2+ channels at the plasma membrane; time point c is characterized by plasma membrane depolarization, which favors Ca2+ efflux through the plasma membrane Ca2+-ATPase. Note the Ca2+ influx at the plasma membrane is replaced by Ca2+ influx across the tonoplast shortly before plasma membrane depolarization (C); thereafter, the characteristics of the [Ca2+]i rise are determined by Ca2+ flux from the tonoplast and, as the tonoplast Ca2+ channels inactivate, by [Ca2+]i recovery-mediated Ca2+-ATPases at the two membranes (D). Note that positive flux is defined as movement of the ionic species (not the charge) out of the cytosol, either across the plasma membrane or the tonoplast.

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Systems Dynamic Modeling of the Stomatal Guard Cell Predicts Emergent Behaviors in Transport, Signaling, and Volume Control
Zhong-Hua Chen, Adrian Hills, Ulrike Bätz, Anna Amtmann, Virgilio L. Lew, Michael R. Blatt
Plant Physiology Jul 2012, 159 (3) 1235-1251; DOI: 10.1104/pp.112.197350

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Systems Dynamic Modeling of the Stomatal Guard Cell Predicts Emergent Behaviors in Transport, Signaling, and Volume Control
Zhong-Hua Chen, Adrian Hills, Ulrike Bätz, Anna Amtmann, Virgilio L. Lew, Michael R. Blatt
Plant Physiology Jul 2012, 159 (3) 1235-1251; DOI: 10.1104/pp.112.197350
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Plant Physiology: 159 (3)
Plant Physiology
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Jul 2012
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