Plant Cell Physiol. 38(11): 1232-1241 (1997)
JSPP © 1997
Phosphate Uptake in the Cyanobacterium Synechococcus R-2 PCC 7942
Raymond J. Ritchie, Donelle A. Trautman and A.W.D. Larkum
Biology A-12, School of Biological Sciences, The University of Sydney, NSW 2006, Australia
Key words: Active transport — Cyanobacteria — Electrochemical gradient — Membrane potential — Phosphate nutrition.
The cyanobacterium Synechococcus R-2 has been extensively used as a model organism for many membrane
transport studies (Ritchie 1991, 1992a, b, c, 1996, Ritchie
and Gibson 1987, Ritchie et al. 1996). Phosphorus is an
essential element for all cells but relatively little informaAbbreviations: ANOVA, analysis of variance; CAPS, 3-[cyclohexylamino]-l-propane-sulphonic acid; DMO, 5,5-dimethyloxazoline-2,4-dione; PAR, photosynthetically active radiation; c
(subscript), refers to the control-treated cells; e (subscript), refers
to the experimental treatment cells; i (subscript), refers to the inside of the cells; o (subscript), refers to the outside of the cells or
bulk electrolyte.
tion is available on the physiological mechanism of uptake
in cyanobacteria. Despite the obvious importance of phosphate nutrition to algal growth under eutrophic conditions,
little is known about the physiology of uptake of phosphate by cyanobacteria (Grillo and Gibson 1979, Falkner et
al. 1980, 1989, Rigby et al. 1980, Budd and Kerson 1987,
Wagner et al. 1995). Phosphate is often cited as the cause
of cyanobacterial blooms but its removal from waste-water
is very expensive, and cause and effect might not be straightforward.
Many previous studies have worked with cells in experimental medium likely to lead to spurious results or results
that are not applicable to cyanobacteria growing in nature.
For example, Mohleji and Verhoff (1980) used a medium
(NAAM) with a very low ionic strength, no buffers and the
pH was not specified in their experiments. Grillo and Gibson (1979) used triethanolamine/H2SO4 (pH 8) buffer.
They tested for K + and Mg2* effects but not for Na + or
Ca 2 + . Tris is known to be toxic to many cyanobacteria, but
has been used in many previous studies. Falkner et al.
(1980) used Tris/H2SO4 (pH 7.5) buffer. Ca 2+ and Mg*+
effects were investigated but not K + or Na + . Rigby et al.
(1980) and Budd and Kerson (1987) also used Tris/H 2 SO 4
(pH 8). Both studies tested the effects of many different
ions upon phosphate uptake including Na + , K + , Ca 2+ and
Mg2"1" but not in combination. The conclusions drawn in
these studies might not have been fully justified. More
recently, Falkner et al. (1989) and Avendano and Valiente
(1994) have used incubation medium containing the same
constituents as the culture medium plus HEPES/NaOH or
KOH buffer and so their results are more likely to have
some relevance.
Although there is little doubt that phosphate is actively taken up by cyanobacterial cells (Grillo and Gibson
1979, Falkner et al. 1980), a formal thermodynamic analysis of phosphate uptake has not been attempted. The aim
of this study is to perform a biophysical analysis on the
mechanism of uptake and the intracellular concentrations
of phosphate under eutrophic conditions with attention to
pH and Na + , K+ and the divalent cations, Mg2* and Ca 2+ .
Much of the previous work on phosphate nutrition has focused upon phosphate deficient rather than eutrophic conditions.
Synechococcus was used in the present study because
many cyanobacteria have a mucilaginous sheath which
makes transport studies very difficult or impractical. Unfortunately, the strains of Anabaena and Microcystis responsible for toxic cyanobacterial blooms are amongst
1232
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
Phosphate uptake rates in Synechococcus R-2 in BG11 media (a nitrate-based medium, not phosphate limited)
were measured using cells grown semi-continuously and in
continuous culture. Net uptake of phosphate is proportional to external concentration. Growing cells at pH 0 10
have a net uptake rate of about 600 pmol m~ 2 s" 1 phosphate, but the isotopk flux for 32P phosphate was about 4
nraol m~ 2 s~'. There appears to be a constitutive over-capacity for phosphate uptake. The Km and Vmtx of the saturable component were not significantly different at pH0 7.5
and 10, hence the transport system probably recognizes
both H2PO4" and HPO2,". The intracellular inorganic phosphate concentration is about 3 to 10 mol m~3, but there is
an intracellular polyphosphate store of about 400 mol m~3.
Intracellular inorganic phosphate is 25 to 50 kJ mol' 1 from
electrochemical equilibrium in both the light and dark
and at pHo 7.5 and 10. Phosphate uptake is very slow in
the dark (»100 pmol m~ 2 s~ 1 ) and is light-activated (pHo
7.5«1.3nmolm" 1 s~ 1 , pHo 10«600 pmol m"^" 1 ). Uptake has an irreversible requirement for Mg2+ in the medium. Uptake in the light is strongly Na+-dependent. Phosphate uptake was negatively electrogenic (net negative
charge taken up when transporting phosphate) at pHo 7.5,
but positively electrogenic at pHo 10. This seems to exclude
a sodium motive force driven mechanism. An ATP-driven
phosphate uptake mechanism needs to have a stoichiometry of one phosphate taken up per ATP (1 PO 4 , 0 /ATP)
to be thermodynamically possible under all the conditions
tested in the present study.
Phosphate uptake in a cyanobacterium
1233
those that have thick mucilaginous sheaths making them
unsuitable for anything but simple growth studies of nutrient uptake which are not likely to make great progress
in understanding the mechanism of uptake of phosphate in
cyanobacteria. However, the general findings in the present
study should be applicable to understanding the mechanism of phosphate uptake in a variety of cyanobacteria including the more notorious Anabaena and Microcystis.
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
chie et al. 1996) using Nuclepore® (Costar Corp., Cambridge.
MA, U.S.A.) polycarbonate membrane filters (0.4 or 1 /mi). The
usual specific activity was =300 to 10,000 GBq mol" 1 .
The cell wall of Synechococcus binds significant amounts of
cations (Ritchie and Gibson 1987, Ritchie 1992a). Cells were washed with 20 mol m~3 Ca(NO3)2 (buffered to pH 7.5 with HEPES/
CaJOH)^ for about 10 s to remove most of the extracellular
M
Rb + . Cells were exposed to ^Rb* radiolabel for a few seconds,
were washed and then used as a measure of binding of 86 Rb + to
the surface of the cells. Binding of 32PO4 to cells was much slower
than for 86 Rb + , taking about 1 min to reach steady-state, and was
much more difficult to wash from the cells.
Materials and Methods
Inorganic phosphate—Total reactive inorganic phosphate
Chemicals and radiochemicals—^Rb"1" was from DUPONT was assayed using a semi-micro version of the molybdate/stannous chloride method described in APHA (1992). The intense
New England Nuclear, Boston, MA, U.S.A. 32P-H3PO4 was
molybdenum blue colour produced by the reduction of the
from the Australian Nuclear Science Technology Organization
molybdophosphoric acid by stannous chloride was measured at
(ANSTO), Lucas Heights, Sydney, Australia. CAPS, DCMU,
700 run. Standard curves were linear to 50 mmol m~3 PO 4 .
Fluorinert FC-77, HEPES, methylamine, HC1 and valinomycin
Soluble phosphate in experimental cell suspensions was usualwere from Sigma-Aldrich. All reagents used were of analytic standly estimated by centrifuging in Eppendorf tubes in a Beckman Miard.
cro fuge (6,000 x g) and sampling the supernatant. Cell densities of
General—Synechococcus R-2 (S. leopoliensis, Anacystis
about 600 x 1012 cells m" 3 were used.
nidulans) (PCC 7942) was grown from axenic stock cultures in
Intracellular phosphate—To estimate intracellular phosBG-11 medium (Allen 1968) modified as described previously (Ritphate, a cell suspension was filtered onto a polycarbonate filter
chie and Gibson 1987, Ritchie et al. 1996) but with the total phosand washed in buffered calcium nitrate. The cells were then susphate concentration lowered to 50 mmol m~3 and total inorganic
pended in an Eppendorf tube in water containing chloroform (1%
carbon increased to 1 molm" 3 . The unmodified BG-11 (PO 4 =
v/v) for 10 min then centrifuged and the supernatant assayed for
175 mmol m~3) precipitates much of its phosphate upon autoclavreactive soluble phosphate.
ing. Phosphate-free BG-11 contained much less than 0.1 mmol
m~3 phosphate. The cells were grown on air, either semi-continuUptake ofnP— Both chemical assays and 32P assays of phosously (~ 1/4 dilution each day) or in a continuous culture device,
phate showed that significant amounts of phosphate bind to the
in continuous light of about 150^mol (quanta) m~2 s~l PAR, ussurfaces of Synechococcus cells (Falkner et al. 1980). Saturation
ing cool white fluorescent lights, at 30°C. Similar light conditions
kinetics were only observable at concentrations below 5 mmol
were used in experiments but the temperature was 25°C. The pH 0
m~3 using very dilute cell suspensions (A 7 5o=0.2=60x 1012 cells
of a growing culture was about 10 to 10.5.
m~3) and short labelling times. 32P uptake was measured using 0.2
to 5 mmol m~3 phosphate (specific activity = 100 x 109 to 13 x 1012
All glass and plastic laboratory-ware were HC1 acid-washed
Bq
mol" 1 ) and incubation periods of 2 min and 5 min. The rebefore use. The cells were usually harvested by centrifugation
sidual phosphate in the "P-free" incubation media was meas(2,500 x j ) in a preparative centrifuge and washed three times in
ured and taken into account in specific activity calculations ( = 0.1
the experimental medium. All experiments were run in media as
to 4 mmol m" 3 ). Cells were pre-incubated for one h in buffered
close as possible in ionic composition to the BG-11 medium in
phosphate-free
BG-11 before commencing a labelling experiment.
which they had been grown. A routine pre-incubation of 30 min
32
P labelled phosphate was added to the cap of the incubation
was run in the light or dark as appropriate, before using cells in
vials (Eppendorf tubes) and labelling' started by shaking. At the
the experiments.
two minute time point, 0.5 ml of the cell suspension was removed
Intracellular volumes, cellular surface areas and numbers of
from an incubation vial and filtered onto a 0.4 //m filter and washcells were calculated using stereological data from Ritchie and Gibed twice with unlabeled BG-11 to remove as much surface bound
son (1987) and Ritchie (1991) using an empirical relationship be32
P-label as possible. The cells on the filter were then resuspended
tween light scattering (A75onm), measured using a Varian® Cary
in 0.5 ml of distilled water, 3 ml of scintillant was added and the
13E UV-Visible spectrophotometer.
samples were counted. Fluxes were calculated from the difference
Buffer solutions—The ionic composition of BG-11 medium
in uptake by the cells after the 2 and 5 minute incubation times as
was changed as little as possible: buffers were adjusted to the apmol
m~2 s" 1 . At shorter labelling times it was not possible to dispropriate pH 0 using NaOH or Ca(OH)2 for increasing alkalinity.
tinguish
intracellular uptake from the extracellular bound compoCa(OH)2 contains some CaCO3: this needs to be removed by filtranent
because
binding of phosphate to the cells was slower than in
tion or sedimentation for preparing media with limited inorganic
the case of cations.
carbon. The following buffers were used at 5 mol m~3: pH 7.5
HEPES/Ca(OH) 2 or NaOH, or pH 10 CAPS/NaOH or CAPS/
O2 evolution—Photosynthesis was measured using a ClarkCa(OH)2.
type electrode (Hansatech, Kings Lynn, Norfork, U.K.) thermostatted to 25°C and used as described by Walker (1990). The
Dark techniques—When using Synechococcus, dark experielectrode was calibrated with aerated water for 100% air saturaments must be run in completely dark conditions (Ritchie 1991). A
tion and with N2 as zero O2. The oxygen solubility algorithms of
dim, green safe-light was only used for taking samples (about 10 s,
Carpenter (1966) and Colt (1984) were used to calculate the oxy0.1 /rniol (quanta) m~2 s"1 PAR).
gen concentration in air-saturated medium. The chamber was illuMembrane filtration techniques—A Millipore filtration apminated with saturating red light (peak 660 nm), provided by a
paratus with a sintered glass surface was used for filtration assays
light emitting diode array (175 ^mol (quanta) m" 2 s" 1 PAR).
(Ritchie and Gibson 1987, Ritchie 1991). Uptake of M Rb + was
measured using filtration techniques as previously described (RitHarvested cells (~300x 1012cells m" 3 ) were filtered onto
1234
Phosphate uptake in a cyanobacterium
experiment (Ritchie and Prvan 1996a, b). ±95% confidence limits
were then calculated using n-2 degrees of freedom (Zar 1974).
Counting methods—32P and 8<Rb+-label were counted using
the "P-channel of a Canberra-Packard Tri-CARB 1600 scintillation counter using Emulsifier-Safe scintillant.
Statistics—Error-bars are ±9 5 % confidence limits with the
number of replicates in brackets 0- Where two numbers appear
in brackets (a, b), the first is the number of separate experiments
conducted and the second is the total number of observations.
Students t-tests, linear regressions including the error-limits of the
slopes (m) and y-intercepts, and other statistics were calculated as
described by Zar (1974).
Results
Uptake of phosphate—Figure 1A shows the uptake of
phosphate by Synechococcus cells versus time in the light.
After the 30 min pre-incubation period in nominally phosphate-free medium the cells maintained an extracellular
phosphate of about 1 mmol m~3. Cell suspensions did
not pull extracellular phosphate down to zero. Following
the addition of 50 mmol m~3 phosphate, the cells rapidly
depleted the phosphate to near zero over 4 h. It was expected that such a curve could be used as a method for
estimating the Km of phosphate uptake (Duggleby 1985).
Uptake follows an exponential decay curve which implies
that the net flux is proportional to concentration. Figure IB
shows a plot of the rate of uptake of phosphate by SynechoEquation 1
coccus cells versus time, calculated as the rate of uptake between each sampling time, using the data from Figure 1A.
where, F/RT are the Faraday, Gas Constant and absolute temperaThe net uptake rate was a linear function of concentration
ture respectively, A !Pe is the membrane potential of cells given the
experimental treatment at t = 0 , A *FC is the membrane potential of and does not exhibit saturation kinetics (Fig. 1 A, B). The ythe control cells (assumed to be constant), <t>c is the uptake flux of intercept is not significantly different to zero (—0.208 ±
the permeant cation in the experimentally treated cells, & is the
0.225) and so the rate of uptake is directly proportional to
flux of the permeant cation in the control cells. Equation 1 can concentration (0PO =k«[PO ] ; r=0.990, where k=41.6
4
4 o
only be solved iteratively. The error of A ^ can be estimated by a
partial differentiation with respect to A Vz, <j>c and 0C (Young 1962). (±5.8)x 10~'ms"'). The saturable component of phosphate uptake was only apparent if very low phosphate conEquilibrium accumulation of these permeant cations was
centrations
were used (below 5 mmol m~3; see Methods:
routinely measured for both control and experimental treatments
32
and so both the initial effects of an offered substrate and the memUptake of P).
brane potential after the cells had been exposed to the changed
Preliminary experiments showed that phosphate upconditions for a considerable time could also be measured.
take was strongly inhibited at acid pH 0 , had a broad maxIntracellular pH—Intracellular pH (pHJ was determined using silicone gradient centrifugation techniques as described in Rit- imum at pH o 7 to 9 then fell off at more alkaline conditions. Uptake of phosphate was significantly higher
chie (1991) and Ritchie et al. (1996). The weak acid, I4C-DMO
(ANOVA p<0.001) in the light than in the dark, and the
(5,5-dimethyloxazoline-2,4-dione), was used as the pH-probe for
the experiments at pH o 7.5 and the weak base, 14C-methylamine,
rate of uptake of phosphate was much greater at pH 7.5
for pH : determinations at pH o 10. Both probes were used at a final
than at pH 10 in the light (ANOVA p<0.001). Under the
concentration of 100 mmol m~3 with an incubation time of about
alkaline conditions under which the cells were grown,
14
3
5 min. In the C-methylamine experiments, 100 mmol m~ NH«"
p H 0 ~ 10, the net uptake rate could be described by the
was present to discourage metabolism of methylamine. Label carequation (0PO4=k-rPO 4 ] o , where k=9.0 ( ±1 . 8 ) x l 0 ~ 9
ried through the silicone oil with the cells in the extracellular water
space and label bound to the surfaces of the cells were allowed for.
ms" 1 ). pH did not significantly alter the rate of phosphate
Kinetics—Uptake of phosphate was followed routinely for up uptake in the dark (Table 1). The photosystem II inhibitor,
to 6 h. Net uptake vs time was fitted to an exponential model usDCMU (5 mmol m~ 3 ), decreased the rate of phosphate uping a non-linear least squares fit (Johnson and Faunt 1992) giving
take by the cells in the light from 1,770±240 (6) pmol m~2
estimates of the exchange constant (k) and initial concentration
s~' to l,270±370 (6)pmolm~ 2 s""' (p=0.02) and so did
(E0,t=.o). and the initial uptake flux calculated as k-E o l = 0 . TheK m
32
not decrease net phosphate uptake to the very low rates
and V^a of the isotopic uptake flux of P were estimated using
non-linear least squares fitting with at least ten data points in each
found in the dark.
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
polycarbonate membrane niters, then washed three times in experimental media. Oxygen electrode experiments were run on cells incubated for about 1 h in phosphate-free BG-11 at pH o 7.5 and
pre-incubated in the light. Samples were purged with water saturated N2 gas before 1 ml of cell suspension was placed in the oxygen
electrode chamber. The effect of 50 mmol m~3 phosphate was
tested using a paired t-test (control vs. added phosphate).
Membrane potential—The membrane potential (A !Pi,0) was
measured using the valinomycin expedited M Rb + equilibration
technique described and discussed in Ritchie (1991) and Ritchie et
al. (1996) but using filtration and washing to measure Valinomycin-mediated uptake of s *Rb + .
The membrane potential was calculated from the accumulation ratio of the permeant cation (Ritchie 1991, 1992a) using the
Nernst equation (Nobel 1983) after cell wall binding was corrected
for as described above. Activities were calculated from concentrations using the Bjerrum version of the Debye-Huckel equation
(Hamer 1968).
For consistency with another study, all A fu0 estimates using
the 86 Rb + /valinomycin probe quoted in the present paper are based on 2 h, rather than 1/2 h incubations.
Transitory polarization of the membrane potential—Provided a cation is taken up passively (86Rb+/valinomycin) and its permeability across the cell membrane is constant, the uptake rate of
the cation under a control and experimental condition can be used
to detect polarizations and recoveries of A ¥, o (Ritchie 1992a, Ritchie et al. 1996).
The A Yx_0 of the experimentally treated cells can be calculated
as;
Phosphate uptake in a cyanobacterium
1235
[PO 4 ] O = 55.12*10"0.326t
= 0.047[PO4] - 0.208
r = 0.999
r = 0.990
•
•
Extracellular phosphate
Q
Preincubated zero PO4
Net PhotphaM Flux
(nmol m-2 »"1)
ato
5
|
a.
a
•5
X
3
1 ..
E
s
2
s
•2
1
1 S 2 0 2 5 3 0 1 5 4 0 4 S 5 0 5 5 M
1.5
External PO4 (mmol m"3)
Time (h)
Fig. 1A
Fig.
IB
Fig. 1A Uptake of phosphate by Synechococcus cells versus time in the light. Cells were pre-incubated in the experimental conditions
for 30 min before the addition of phosphate. The cells had reduced the extracellular phosphate to about 1 mmol m~3 during the pre-incubation period in nominally phosphate-free medium. The pH 0 was 7.5 using 5 mol m~3 HEPES/Ca(OH)2 buffer. Care was taken to
add enough Na2CO3 so that cells did not run out of inorganic carbon before the incubation was complete. Uptake follows an exponential
decay curve.
Fig. IB Rate of uptake of phosphate by Synechococcus cells versus time in the light using the data from Fig. 1A calculated as the rate
of uptake between each sampling time shown in Fig. 1 A. The net uptake rate is a linear function of concentration and does not exhibit
Phosphate uptake rates of cells growing in continuous
culture could be calculated from the upstream and downstream concentrations of phosphate, the washout rate and
the cell numbers in the effluent stream (Tempest 1970).
Table 1 shows that the phosphate consumption rate of the
exponentially growing cells (=600 pmol m~2 s"1) was close-
ly comparable to that measured on harvested cells under similar conditions (pH 0 = 10). The effluent stream contained 18±3 (12,44) mmol m" 3 from a feedstock of =50
mmol m~3 and so were not phosphate limited cells.
Table 2A shows the intracellular phosphate concentrations of the alga after 1 h incubation with either nominally
Table 1 Phosphate consumption by Synechococcus
Condition
Net uptake rate (pmolrn~ 2 s"')
Dark
Light
Harvested cells
pH o 7.5
l,303±146 (11,118)
136±91 (5,41)
pH 0 10
449± 90(11,83)
146±53 (5,38)
586± 65 (12,48)
NA
Continuous culture
(~pH o 10)
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
OJ
1236
Phosphate uptake in a cyanobacterium
Table 2A
Thermodynamic data for analysis of phosphate uptake
[P04]0
(mraol ra"3)
Phosphate in
media and cells
POJ,
(mol m )
Light
Dark
Membrane potential
(mV)
ila or proton
motive force
(kJmor 1 )
Intracellular pH
Light
Dark
Light
Dark
Light
-13211.2
(2,16)
-11411.6
(2,8)
7.3810.12
(3,12)
7.0010.18
(3,12)
-13.410.7
10.311.5 8.911.2
-12912.8 -13113.1
(3,12)
(3,14)
(7,44)'
(5,20)°
" Combined data from this study and Ritchie et al. (1996).
* Taken from Ritchie et al. (1996).
7.2210.07
(6,36)*
7.3610.11
(4,24)*
+3.410.5
pH07.5 1.7310.64
(9)
5.9+1.9
(5,20)
3.010.8
(2,8)
pH07.5
50
pHolO
3.8112.08
(5)
9.9+2.4
(5,20)
7.711.5
(3,12)
9.713.3
(3,14)
4.712.2
(2,8)
pHo10
50
Table 2B
Species
H 2 PO 4 "
HPO 4 ~
PO 3 ,Total
H2PO4"
HPO 4 ~
PO3,"
Total
-13.911
+2.410.11
Intracellular pH and membrane potential—Synecho^
coccus cells are able to maintain their intracellular pH within narrow limits, even when the cells are maintained at a
pH o which is several pH units different to that of the internal concentration (Ritchie 1991, Ritchie et al. 1996). Cells
incubated at pH o 10 have similar membrane potentials and
intracellular pH in the light and dark. Cells incubated in
the dark at pH 0 7.5 have a different membrane potential
and intracellular pH to those of cells incubated at pH 0 7.5
in the light. The membrane potential and intracellular pH
of cells in the light at pH 0 7.5 are similar to those found in
both the light and dark at pH 0 10. Using the A !PiiO and pHj
data, the electrochemical potential for protons or proton
motive force (A/xH^0 or pmfi>0) was about —13 kJ mol" 1 at
pH 0 7.5 (active extrusion of H + ) but only about + 3 kJ
mol" 1 at pH 0 10 (active uptake of H + ) .
Thermodynamic analysis—Tables 2B and 2C present
the results of thermodynamic analyses, using the Nernst
criterion, and show the driving force required to active-
Thermodynamics of phosphate uptake at pH 0 7.5
6
500
±185
xlO"
1.23± 0.46 xlO" 3
20 ± 7.4 xlO" 9
1.73+ 0.64X10" 3
14.4
35.6
577
50
xlO" 3
xlO" 3
x10" 9
x 10"3
Dark
Light
[PO4]O
mol m 3
[POJli
molm" 3
AuPOli
kJ mol"^
[PO4]i
molm
1.95 ±0.65
3.95±1.31
48±16xlO"«
5.9 ±1.9
+ 33 + 1.2
+45 ±0.63
+ 57±0.43
1.63 ±0.45
1.38+0.38
6.9±1.9xlO" 6
3.0 ±0.8
3.27±0.84
6.63 ±1.69
8 0 ±2 1 x l 0 " 6
9.9 ±2.4
+26±0.65
+ 38±0.34
+ 50±0.24
5.26±1.84
4.45 ±1.56
22±7.9xlO" 6
9.7 ±3.3
AfiPOzti
kJ mol
+ 31±1.15
+ 39±0.60
+47±0.41
+ 25±0.88
+ 33±0.46
+ 41 ±0.33
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
zero (about 1 to 4 mmol m 3) or 50 mmol m 3 added phosphate. Under low-phosphate conditions the intracellular
phosphate concentration is about halved in the dark at
both pH o 7.5 and 10. For cells in low phosphate the apparent intracellular phosphate was 6.6± 1.3 mol m~ 3 (8,32)
or 787 ±173 n m o l m " 2 on a cell surface area basis in the
light. Cells in 50 mmol m~ 3 phosphate had a higher intracel, lular phosphate concentration of 1 0 ±1 . 6 m o l m ~ 3 (8,32)
or 1.21 ±0.22//mol m~ 2 . There was no apparent difference
in intracellular phosphate in the light or dark or for cells in
pH o 7.5 or 10 when high external phosphate was present.
Chemically detectable free phosphate was only a small
proportion of the total phosphate accumulated by the cells.
The chemostat data could be used to calculate the total
phosphorus held by the cells from the depletion of phosphate from the medium and the volume of the cells in the
effluent stream. The total intracellular phosphorus was
424±47 mol m " 3 (12,48). Thus, only about 2A±0A% of
total intracellular phosphorus is present as phosphate.
Dark
Phosphate uptake in a cyanobacterium
1237
Table 2C Thermodynamics of phosphate uptake at pH 0 10
Dark
Light
Species
H2PO4"
HPO 4 ~
POJTotal
H2PO4"
HPO 2 "
PO 4 "
Total
mol m"
3
[PO4]j
[PO4L
molm 3
molm" 3
kJ m o r 5
4.9 ± 2.7 x l O - 6
3.79± 2.07 xlO" 3
19 ±11
xlO" 6
3.8 ± 2.1 xlO" 3
3.20±0.64
3.50±0.90
3 8 ±7 . 5 x l O - 6
7.7 ±1.5
+45±1.5
+42±0.77
+ 38±0.55
1.60±0.76
3.10±1.47
36±17xlO" 6
4.7 ±2.2
64 x 10- 6
49.7 xlO" 3
255 x 10- 6
50 x 1Q-3
4.29±0.65
6.02±0.91
5O±7.6xlO- 6
10.3 ±1.5
+40±0.46
+ 36±0.33
+ 33±0.3
3.03±0.46
5.87±0.90
6 8 ±1 0 x l 0 " 6
8.9 ±1.2
+ 39±0.46
+ 37±0.33
+ 34±0.32
previously for Synechococcus (Ritchie et al. 1996).
Effects of ion deficiencies—The effects of different ions
upon phosphate uptake rates are shown in Table 3. Lack of
K + decreased phosphate uptake by about 50%. Phosphate
uptake in nominally Na+-free media was consistently inhibited by approximately 80%. Nominally Na+-free media
contained about 6 mmol m~ 3 Na + due to contamination of
chemicals (Ritchie et al. 1996). Lack of Ca 2+ had no effect
on the uptake of phosphate by Synechococcus. Mg24" not
only decreased the net uptake of phosphate, but there was
a net loss by the cells. The effects of lack of Mg2"1" appeared
to be irreversible as adding this ion back into a cell suspension in Mg2+-free BG-11 did not lead to a recovery of phosphate uptake by the cells.
Electrogenicity of phosphate uptake—Table 4 shows
the polarizing effects of added phosphate (50 mmol m~3)
measured using the Valinomycin-mediated uptake of 86 Rb +
as the membrane potential probe (Equation 1). The effects
of phosphate uptake upon the membrane potential appear
to be different at pH o 7.5 and 10. This is consistent with the
great differences in the abundances of HzPO^ and HPO 2 "
at pH 0 7.5 and 10 (see above). At pH 0 7.5 uptake of phosphate in the light led to a hyperpolarization of the apparent
membrane potential. This indicates a net uptake of negaTable 3 Effect of mineral ion deficiencies on the uptake
of PO 4 in the light at pH 0 10
Ion
Uptake flux (pmol m 2 s ')
With added cation
Cation omitted
K+
+ 546±70 (2,12)
+
+ 871 ±276 (5,39)
+280 ±47 (2,12)
+ 174±40 (5,37)
2+
+ 308±71 (4,27)
+ 361 ±159 (2,13)
+426±121 (1,7)
- 1 4 5 ±47 (2,13)
Na
Ca
Mg
2+
Fluxes are positive for net uptake and negative for net loss by the
cells.
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
ly transport each species of soluble phosphate into the
cell (Nobel 1983). The relative amounts of each form of
phosphate was calculated using the equations and pKa
values published by Lindsay (1979). No form of phosphate
(HjPOr, HPO 4 ~ or PO4~) could be accumulated passively
by the cells. All forms are at least +25 kJ mol" 1 from electrochemical equilibrium at both pH 0 7.5 and 10.
Uptake of 32P—At pH 0 7.5 the Km was 1.65±1.04
(4,44) mmol m~3 and 2.92± 1.46 (4,47) mmol m" 3 at pH o
10. These values were not significantly different and so an
overall mean of 2.31 ±0.90 (8,91) mmol m~3 could be calculated. Vmax was also similar at pH 0 7.5 (K mM =3.52±0.52
(4,44) nmol m ^ s " 1 ) and pH o 10 (Vmlx=4.25±1.04 (4,47)
nmol m~2 s~l) giving an overall mean of 3.90±0.59 (8,91)
nmolm~ 2 s~'. Isotopic fluxes were considerably higher
than the chemically measured net fluxes and showed different kinetics.
Taking the intracellular phosphate content on a cell
surface area basis calculated above (=1.2/«nol m~2) and
the observed isotopic flux, the exchange constant is 3.22
(±0.761) x l 0 ~ 3 s " ' o r a t I/2 of 215±51 s.It can be concluded that the isotopic flux is a measure of phosphate transport across the plasmalemma, whereas the chemical assay,
because of the time course used, is a measure of metabolic
uptake of phosphate.
O2 evolution—Synechococcus has a very large intracellular store of phosphorus and so short-term incubations in
phosphate-free media was not expected to affect photosynthesis or respiration. There was no significant effect of added phosphate in the dark using a paired t-test or nonparametric sign test (R= 12.6± 1.55 nmol m~ 2 s~' (3,12)).
There was, however, a significantly inhibitory effect upon
photosynthesis of added phosphate when it was added
to the phosphate-free cells (paired t-test, p=0.2%; Nonparametric Sign test p=0.02%). The gross photosynthetic
rate (P o ) of the control cells was 56.2±4.7 nmol m~ 2 s~'
(3,12) vs. 50.9±3.6 nmol m" 2 s~' (3,12) after adding phosphate. These R and P G rates are comparable to those found
kJ mor°
+44±1.82
+41 ±0.95
+ 39±0.67
1238
Phosphate uptake in a cyanobacterium
Table 4 Polarization effects of phosphate using 86Rb+/valinomycin as the membrane potential probe
Membrane potential (mV)
Conditions
BG-11,
BG-11,
BG-11,
BG-11,
BG-11,
BG-11,
A'F,
pH o 7.5, Light
pH o 7.5, Dark
pH 0 7.5, Light+DCMU
pH o 10, Light
pH o 10, Dark
pH o 10, Light+DCMU
control
120 min exposure
-132±2
-112±1.8
-122±1.8
-128±4.6
-126±1.8
-137±1.9
-132±2
-115±1.8
-128±1.9
-128±5.1
-129±1.9
-137±2
AVcc
polarization
- 5 9 ±23
-17±18
-26± 8
+ 39± 7.7
-4±18
+ 50± 9.7
(2,64)
(32)
(32)
(3,96)
(32)
(32)
Cells were pre-incubated in BG-11 medium in capped Eppendorf tubes. The valinomycin-mediated uptake flux of !6 86 + was measured at
0, 2, 4 and 6 min. Control and experimental cells were incubated as matched pairs. The ^Rb"1" fluxes were measured by shaking the tubes
and removing a cell sample for filtration after the appropriate labelling time. Membrane potentials were calculated from the equilibrium
accumulation ratio of ^Rb* after labelling for 120 min of both control and experimentally treated cells.
Discussion
Distinguishing transport of phosphate across theplasmalemma from assimilation of phosphate—At concentrations of phosphate above about 5 mmol m~3, net uptake
was directly proportional to concentration with no saturable component (Fig. 1A, B) and if uptake flux was plotted
against concentration, the apparent intercept was through
zero. Wagner et al. (1995) found that when phosphatestarved cells were subjected to pulses of phosphate, the uptake behaviour of the cells was linearised, but failed to recognize that the y-intercept passed through zero. Since the
cells used in the present study were not phosphate-limited,
then the linearized behaviour found in the present study
and by Wagner et al. (1995) is not restricted to phosphate
limited cells.
Isotopic fluxes were considerably higher than the chemically measured net fluxes and showed saturable kinetics if
labelling times comparable to the filling time of the intracellular inorganic phosphate pool (t, / 2 ~4min) and very low
phosphate concentrations were used. The Km for phosphate was only about 2 mmol m~3 and the saturating flux
was about 4 nmol m~2 s" 1 . The Km value is comparable to
previous estimates in Synechococcus (Budd and Kerson
1987, Avendano and Valiente 1994, Wagner et al. 1995),
other cyanobacteria (Istvanovics et al. 1993, Valiente and
Avendano 1993) and the bacterium Streptococcus (Poolman et al. 1987). Taking the intracellular phosphate pool
on a surface area basis, it was possible to calculate a
turnover time for the cytoplasmic phosphate. Turnover of
the intracellular chemically detectable phosphorus was very
rapid (ti / 2 ~215±51 s) which is comparable to an estimate
of = 10 min by Suttle et al. (1991). Thus net uptake experiments, such as Figure 1, conducted over a period of hours,
with samples taken every 15 or 30 min, were actually measuring the rate of incorporation of phosphate into polyphosphate storage material.
Kinetic analyses of phosphate uptake in Synechococcus have shown that both the Km and Vmax are not significantly different at pH 0 7.5 and pH 0 10. This has the implication that the phosphate uptake mechanism operating in
neutral media is the same as that operating at alkaline pH 0 .
From the abundance of H2POi" and HPOj" at pH o 7.5 and
pH 0 10, both the mono- and divalent species of phosphate
are accepted by the transport system. At pH 0 7.5 about
29% of total phosphate is in the form of H2PO4~ and 7 1 %
in the form of HPOl~ whereas at pH o 10 only 0.13% is
present as H2PO4~, 99.4% as H?Ol~ and 0.5% as PO3,"
(Lindsay 1979).
Active uptake of phosphate—The process of metabolic assimilation of phosphate by Synechococcus is energy dependent is indicated by the substantial decrease in the rate
of uptake when the experiments were performed in the
dark. This result agrees with the results for some species of
cyanobacteria (Avendano and Valiente 1994), but does not
hold true for all species (Istvanovics et al. 1993). Phosphate
uptake is not significantly decreased in the presence of the
photosynthetic inhibitor DCMU, indicating that ATP is
the likely energy source for active uptake of phosphate.
Similar conclusions have previously been drawn for Cl~
(Ritchie 1992b, c), HCO3" (Ritchie et al. 1996) and S O ^
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
tive charge when the cells were supplied with phosphate. A
similar, but smaller effect, was found in the presence of
DCMU but there was no apparent polarization effect in the
dark. This result is consistent with findings on the effects of
DCMU and darkness on phosphate uptake. At pH o 10, in
the light with and without DCMU there was a depolarization, not hyperpolarization of the membrane potential. As
at pH 0 7.5, there was no apparent effect in the dark. In all
cases, any electrical effect of phosphate is transitory: after a
120 minute incubation there is only a small or no difference
in the membrane potential of cells with or without phosphate.
Phosphate uptake in a cyanobacterium
tion effects of added phosphate were detected in the light
but not in the dark (Table 4) despite the inherent imprecision of using valinomycin expedited uptake of 86 Rb + to
measure changes in membrane potential (Ritchie 1992a, Ritchie et al. 1996). DCMU did not abolish the polarization
effects of added phosphate in the light. At pH o 10, where
virtually all phosphate is present as HPO 2 ~ (Table 2C),
added phosphate depolarizes the membrane potential indicating a net uptake of positive, not negative charge. At
pH o 7.5, where substantial H2PO4~ is present (Table 2B),
added phosphate hyperpolarizes the membrane potential.
Complex charge balancing operations are involved in active uptake of phosphate.
Mechanism of uptake of phosphate—Poolman et al.
(1987) suggested that uptake of phosphate in Streptococcus
was electroneutral, with a variable number of protons being cotransported with the phosphate depending on the
valency of the phosphate being transported. Table 4 does
not point to an electroneutral uptake mechanism.
Tables 2A, 2B and 2C show that a proton-motiveforce-driven mechanism is very unlikely in Synechococcus.
The pmfi0 at pH 0 7.5 is only about - 1 3 kJ m o P 1 (Table
2B) but at pH 0 10 the pmfio is positive, about 2 to 3 kJ
m o P ' Table 2C). At pH 0 10, protons are actively taken up
by the cells and the pmfio is far short of the —30 kJ m o P 1
required for active uptake of phosphate (Table 2C). A
pmfio-driven pump would not be thermodynamically possible under alkaline conditions.
Table 3 shows that phosphate uptake was clearly Na + dependent as found previously for C P and HCOf and
other ions but this does not necessarily point to the electrochemical potential for Na + (4^Na£,) being the driving
force for active uptake of phosphate (Ritchie 1992b, c, Ritchie et al. 1996). Avendano and Valiente (1994) found no
effect of Na + upon the Km of phosphate uptake but they
found a large effect on the rate of uptake. The AfiNa£0 for
Synechococcus cells in the light is about —13 to —16 kJ
moP 1 at pH o 7.5 and 10 (Ritchie 1992a, Ritchie et al.
1996). At least 4Na + would be needed to drive the uptake
of one phosphate (Table 2B, C). Such an uptake mechanism would be strongly electrogenic leading to uptake of net
positive charge for each phosphate taken up at both pH 0
7.5 and 10, contrary to the complex polarization effects
shown in Table 4.
Falkner et al. (1980), Budd and Kerson (1987) and
others have proposed that phosphate uptake by Synechococcus is an ATP-driven primary transport system. The hydrolysis of an ATP molecule produces a driving force of approximately - 5 0 kJ mol" 1 (Reid and Walker 1983, Muchl
and Peschek 1984) and so the phosphate uptake mechanism would need to have a stoichiometry of one phosphate
taken up per ATP to be thermodynamically possible under
all the conditions tested in the present study. For thermodynamic reasons a 1 PO 4 /ATP pump could not reduce exter-
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
(Ritchie 1996).
Thermodynamic analysis clearly demonstrates that
phosphate is actively taken up by the cells regardless of
which form of phosphate is considered (Table 2B, C). All
forms of phosphate are at least +25 kJ moP 1 from equilibrium and so a driving force of at least —25 kJ moP 1 is
required to drive active uptake of phosphate. Tables 2A
and 2B however, show that a proton-motive-force (pmfio)
driven mechanism is very unlikely in Synechococcus. The
pmfi0 at pH 0 7.5 is only about - 1 3 kJ moP 1 but at pH 0 10
the pmfio is positive, about 2 to 3 kJ moP 1 . At pH 0 10 protons are actively taken up by the cells and is far short of the
+ 3 0 k J m o P ' required for active uptake of phosphate
(Table 2B). A pmfio-driven pump is conceivable at pH 0 7.5
but would need to have a stoichiometry of at least 4 H + /
PO 4 (4 x —13 kJ moP 1 ) but such a mechanism would not
be thermodynamically possible under alkaline conditions.
Effect of ion deficiencies—The rate of phosphate uptake was significantly reduced when the cells were incubated in Na+-free media, as found previously by Avendano
and Valiente (1994) and for C P transport (Ritchie 1992b,
c) and HCO3~ transport (Ritchie et al. 1996) but contrasting
with the lack of a Na + effect in the case of SOJ~ transport
(Ritchie 1996). Avendano and Valiente (1994) also found a
K+-effect comparable to that found in the present study.
Comparison of Tables 1 and 3 show that the net phosphate
uptake in Na+-free media in the light fell to the rates typically found in the dark.
In contrast to the present study, Budd and Kerson
(1987) reported that Na + was not required for phosphate
uptake in Synechococcus; a result quite different to that
found in the present study and by Avendano and Valiente
(1994). Rigby et al. (1980) and Budd and Kerson (1987) also
tested for the effects of K + , Ca 2+ and Mg 2+ upon phosphate uptake by cyanobacteria. Rigby et al. (1980) and
Budd and Kerson (1987) both reported a stimulatory effect
of Ca 2+ but not Mg 2+ . However, their results were probably not reliable, as inappropriate experimental media were
used for their experiments. They first isolated their cells in
Tris/H 2 SO 4 buffer (pH 8) then tested for the effects of added cations. Not only is Tris known to be toxic to cyanobacteria but the Tris/H 2 SO 4 buffer probably caused irreversible damage to the cells because of the lack of magnesium
ions. We found that the damaging effect of Mg2+-free
media was not readily reversible. Washing the cells in
magnesium-free media was enough to disable the mechanism for phosphate uptake. Table 3 shows Ca 2+ had no apparent effect on phosphate uptake. Since the Mg2+-free
BG-11 used in the present study contained Ca 2+ , K+ and
Na + it can be concluded that none of these cations can substitute for Mg 2+ . Lack of Na + or K + inhibited phosphate
uptake but since K+-free BG-11 contained Na + , apparently
Na + will not substitute for K + .
Polarization studies—Significant transient polariza-
1239
1240
Phosphate uptake in a cyanobacterium
quence for one cyanobacterium, Synechocystis PCC 6803
is on the INTERNET as a genetic database called CYANOBASE (bibliography; http://www.pka3.kazusa.or.ip/
cyano/biblio.html, similarity search; http://www.kazusa.
or.ip/cyanobase/kwd.html). It has a very large listing of
putative ion transporters including phosphate transporters.
The mechanism of action of some of these transporters has
been identified from sequence homologues (Kaneko et al.
1996a, b). For example, one phosphate transporter has
been identified as a primary ABC-type ATP-driven pump
(pstB: sllO683; sll0684; slrl250). Two other phosphate transporters are known (pstA: sllO682; slrl249 and pstC:
sll0681; sir 1248) whose mechanism of action are unknown.
Periplasmic phosphate binding proteins have also been
identified, one of which is associated with phosphate starvation (slrl247). The present physiological findings on Synechococcus are consistent with current genetic information
on cyanobacteria.
Dr. R.J. Ritchie holds an ARC Postdoctoral Research Fellowship. 32P-H3PO4 was purchased from the Australian Institute of
Nuclear Science and Engineering (AINSE). Dr. Donelle Trautman
was supported in part from an ARC Institutional Grant awarded
to Dr R.J. Ritchie and Prof A.W.D. Larkum.
References
Allen, M.M. (1968) Simple conditions for growth of unicellular blue-green
algae. / . Phycol. 4: 1-3.
APHA (American Public Health Association) (1992) Standard Methods
for the Examination of Water and Waste-water. American Public Health
Association, Washington DC, U.S.A.
Avendano, M.C. and Valiente, E.F. (1994) Effect of sodium on phosphate
uptake in unicellular and filamentous cyanobacteria. Plant Cell Physiol.
35: 1097-1101.
Budd, K. and Kerson, G.W. (1987) Uptake of phosphate by two cyanophytes: cation effects and energetics. Can. J. Bot. 65: 1901-1907.
Carpenter, J.H. (1966) New measurements of oxygen solubility in pure and
natural waters. Limnol. Oceanogr. 11: 264-277.
Colt, J. (1984) Computation of Dissolved Gas Concentrations in Water as
Functions of Temperature, Salinity and Pressure. Bethesda Publ.,
American, Fisheries Society Special Publication 14, Maryland, MY,
U.S.A.
Ouggleby, R.G. (1985) Estimation of the initial velocity of enzyme-catalysed reactions by non-linear regression analysis of progress curves. Biochem. J. 228: 55-60.
Falkner, C , Falkner, R. and Schwab, A.J. (1989) Bioenergetic characterization of transient state phosphate uptake by the cyanobacterium
Anacystis nidulans. Archiv. Microbiol. 152: 353-361.
Falkner, C , Homer, W.F. and Simonis, W. (1980) The regulation of the
energy-dependent phosphate uptake by the blue-green alga Anacystis
nidulans. Planta (Berlin) 149: 138-143.
Grillo, J.F. and Gibson, J. (1979) Regulation of phosphate accumulation
in the unicellular cyanobacterium Synechococcus. J. Bacteriol. 140: 508517.
Hamer, W.J. (1968) Theoretical Mean Activity Coefficients of Strong Electrolytes in Aqueous Solutions from 0 to 100 C. US Government Printing
Office, National Standard Reference Data Series, National Bureau of
Standards 24, United States Department of Commerce, Washington.
Istvanovics, V., Pettersson, K., Rodrigo, M.A., Pierson, D., Padisak, J.
and Colom, W. (1993) Cloeotrichia echinulata, a colonial cyanobacterium with a unique phosphorus uptake and life strategy. J. Plankton
Res. 5: 531-552.
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
nal phosphate concentrations to much below the 1 mmol
m~ 3 found for cells incubated in nominally P-free media.
Freshly made up P-free media had an inorganic phosphate
concentration well below 0.1 mmol m " ' and so cells lost
phosphate until reaching a steady-state between uptake and
loss. Table 2A suggests that the cells are unable to maintain
their intracellular phosphate in the dark under low phosphate conditions because phosphate uptake is so strongly
light-dependent. The stalling potential of the phosphate uptake mechanism is about —40 kJ mol" 1 or a thermodynamic efficiency of about 80%.
Compared to the magnitude of the fluxes of other ions
such as sodium (Ritchie 1991, 1992a) and bicarbonate
fluxes (Ritchie et al. 1996) both the isotopic and net fluxes
of phosphate are very low and so not likely to impose a
large metabolic cost to the cells. If it is assumed that one
ATP is used to take up one phosphate, then the power consumption of a normal phosphate uptake flux (Table 1)
would be 5 8 6 ± 6 5 p m o l m ~ 2 s " ' x 5 0 k J m o r ' = 0 . 0 2 9 ±
0.003 mW m~2 (Ritchie et al. 1996). This power consumption is very small compared to the requirements of Na + and
HCO^" transport and the power available from photosynthesis (Ritchie 1992a, Ritchie et al. 1996). Not unexpectedly, oxygen electrode experiments have failed to find
large effects on respiration or photosynthesis of added
phosphate to cells prepared in P-free media in the short
term.
Phosphate requirements of exponentially growing
Synechococcus—The progressively changing nutrient environment of a batch culture is not a realistic model for an
algal-bloom being continuously fed new nutrients from the
stream-flow. Chemostats can be used as laboratory models of cyanobacterial blooms in streams receiving treated
effluent from sewage treatment plants (Tempest 1970).
Table 1 shows that Synechococcus consumes about
600pmolm~ 2 s~' of phosphate to sustain optimum exponential growth in a medium with a phosphate concentration comparable to the effluent of a typical secondary
sewage plant (50 mmol m~ 3 ). In practical situations, an exponentially growing Synechococcus culture is capable of assimilating nearly all phosphate offered to it. However, the
cells are not capable of pulling dissolved phosphate down
to undetectable levels because at about 1 mmol m~3 external phosphate an ATP-driven pump is close to its thermodynamic limits in maintaining intracellular phosphate
levels (Table 2B, C). In continuous culture, Synechococcus
has an intracellular pool of total phosphate equivalent to
400 mol m~ 3 : this store of phosphorus would be able to
supply cells with adequate phosphate for about 6 generations or at least 3 days. Cyanobacteria are notorious for
scavenging phosphate and storing it as polyphosphate
which takes several cell generations to deplete after environmental phosphate has been exhausted (Falkner et al. 1989).
Genetic database of Synechocystis—The complete se-
Phosphate uptake in a cyanobacterium
PCC 7942. J. Plant Physiol. 139: 320-330.
Ritchie, R.J. (1992b) The cyanobacterium Synechococcus R-2 (Anacystis
nidulans, S. leopoliensis) PCC 7942 has a sodium-dependent chloride
transporter. Plant Cell Environ. 15: 163-177.
Ritchie, R.J. (1992c) Kinetics of chloride transport in the cyanobacterium
Synechococcus R-2 (Anacystis nidulans) PCC 7942. Plant Cell Environ.
15: 179-184.
Ritchie, R.J. (1996) Sulphate transport in the cyanobacterium Synechococcus R-2 (Anacystis nidulans, S. leopoliensis) PCC 7942. Plant Cell Environ. 19: 1307-1316.
Ritchie, R.J. and Gibson, J. (1987) Permeability of ammonia,
methylamine and ethylamine in the cyanobacterium, Synechococcus R-2
(Anacystis nidulans) PCC 7942. J. Membr. Biol. 95: 131-142.
Ritchie, R.J., Nadolny, C. and Larkum, A.W.D. (1996) Driving Forces for
bicarbonate transport in the cyanobacterium Synechococcus R-2
(Anacystis nidulans, S. leopoliensis) PCC 7942. Plant Physiol. 112:
1573-1584.
Ritchie, R.J. and Prvan, T. (1996a) A simulation study on designing experiments to measure the Km and Vmix of Michaelis-Menten kinetics curves.
/. Theor. Biol. 178: 239-254.
Ritchie, R.J. and Prvan, T. (1996b) Current statistical methods for
estimating the Km and Kmu of Michaelis-Menten kinetics. Biochem. Ed.
24: 196-206.
Suttle, C.A., Cochlan, W.P. and Stockner, J.G. (1991) Size-dependent ammonium and phosphate uptake, and nitrogen:phosphate supply ratios in
an oligotrophic lake. Can. J. Fish. Aquat. Sci. 48: 1226-1234.
Tempest, D.W. (1970) The continuous cultivation of microorganisms: I.
Theory of the chemostat. Methods Microbiol. 2: 259-276.
Valiente, E.F. and Avendano, M.C. (1993) Sodium-stimulation of phosphate uptake in the cyanobacterium Anabaena PCC 7119. Plant Cell
Physiol. 34: 201-207.
Wagner, F., Falkner, R. and Falkner, G. (1995) Information about previous phosphatefluctuationsis stored via an adaptive response of the highaffinity phosphate uptake system of the cyanobacterium Anacystis
nidulans. Planta (Heidelberg) 197: 147-155.
Walker.D. (1990) The Use of the Oxygen Electrode and Fluorescence Probes in Simple Measurements of Photosynthesis. University of Sheffield,
Robert Hill Institute, Sheffield, UK.
Young, H.D. (1962) Statistical Treatment of Experimental Data. McCrawHill Publ., New York.
Zar, J.H. (1974) Biostatistical Analysis. Prentice-Hall Publ., Englewood
CUffs, NJ, U.S.A.
(Received June 16, 1997; Accepted September 4, 1997)
Downloaded from pcp.oxfordjournals.org by guest on September 13, 2011
Johnson, M.L. and Faunt, L.M. (1992) Parameter estimation by leastsquares methods. Methods Enzymol. 210: 1-37.
Kaneko, T., Sato, S., Kotani, H., Tanaka, A., Asamizu, E., Nakamura,
Y., Miyajima, N., Hirosawa, M., Sugiura, M., Sasamoto, S., Kimura,
T., Hosouchi, T., Matsuno, A., Muraki, A., Nakazaki, N., Namo, K.,
Okumura, S., Shimpo, S., Takeuchi, C , Wada, T., Watanabe, A.,
Yamada, M., Yasuda, M. and Tabata, S. (1996a) Sequence analysis of
the genome of the unicellular cyanobacterium Synechocystis sp. strain
PCC6803. II. Sequence determination of the entire genome and assignment of potential protein-coding regions. DNA Res. 3: 109-136.
Kaneko, T., Sato, S., Kotani, H., Tanaka, A., Asamizu, E., Nakamura,
Y., Miyajima, N., Hirosawa, M., Sugiura, M., Sasamoto, S., Kimura,
T., Hosouchi, T., Matsuno, A., Muraki, A., Nakazaki, N., Naruo, K.,
Okumura, S., Shimpo, S., Takeuchi, C , Wada, T., Watanabe, A.,
Yamada, M., Yasuda, M. and Tabata, S. (1996b) Sequence analysis of
the genome of the unicellular cyanobacterium Synechocystis sp. strain
PCC6803. II. Sequence determination of the entire genome and assignment of potential protein-coding regions (supplement). DNA Res. 3:
185-209.
Lindsay, W.L. (1979) Chemical equilibria in soils. Wiley-Interscience
Publ., New York.
Mohleji, S.C. and Verhoff, F.H. (1980) Sodium and potassium ions effects
on phosphorus transport in algal cells. /. Water Pollut. Control Fed. 52:
110-125.
Muchl, R. and Peschek, G.A. (1984) Valinomycin pulse-induced phosphorylation of AOP in dark anaerobic cells of the cyanobacterium Anacystis
nidulans. Curr. Microbiol. 11: 179-182.
Nobel, P.S. (1983) Introduction to Biophysical Plant Physiology. Freeman
Publ., San Francisco.
Poolman, B., Nijssen, R.M.J. and Konings, W.N. (1987) Dependence of
Streptococcus lactis phosphate transport on internal phosphate concentration and internal pH. J. Bacteriol. 169: 5373-5378.
Reid, R.J. and Walker, N.A. (1983) Adenylate concentrations in Chara:
variability, effects of inhibitors and relationship to cytoplasmic streaming. Aust. J. Plant Physiol. 10: 373-383.
Rigby, C , Craig, S.R. and Budd, K. (1980) Phosphate uptake by Synechococcus leopoliensis (cyanophyceae): enrichment by calcium ion. J.
Phycol. 16: 389-393.
Ritchie, R.J. (1991) Membrane potential and pH control in the cyanobacterium Synechococcus R-2 (Anacystis nidulans) PCC 7942. /. Plant
Physiol. 137: 409-418.
Ritchie, R.J. (1992a) Sodium transport and the origin of the membrane
potential in the cyanobacterium Synechococcus R-2 (Anacystis nidulans)
1241