respiration and photosynthesis are two important processes in microalgal growth that occur simultaneously in the light .
these two processes and their relationship are extensively studied in plant science as reviewed by several authors ( badger et al .
1998 ; geider and osborne 1989 ; graham 1980 ; hoefnagel et al . 1998 ; hunt 2003 ; raghavendra et al .
1994 ; turpin et al . 1988 ) because the balance between them determines , to a large extent , the growth and yield of most plants ( hunt 2003 ) . in illuminated microalgal cells , three processes in which oxygen
the first process is photosynthesis in which oxygen is released , and atp and nadph are produced to be able to fix co2 into glyceraldehyde 3-phosphate ( gap ) .
this process mainly takes place in the mitochondria where nadh is oxidized to generate extra energy in the form of atp to support biomass formation and maintenance processes . in this process
, oxygen is consumed ( geider and osborne 1989 ; graham 1980 ; hoefnagel et al .
the oxygenase activity of rubisco can also fix oxygen instead of carbon dioxide , forming glycolate .
glycolate is converted into glyceraldehyde 3-phosphate , so it can be re - used in biosynthesis . during this process ,
this demands substantial energy in the form of atp and nadph ( tural and moroney 2005 ) .
the process of photorespiration occurs at high extracellular oxygen concentrations or at low carbon dioxide concentrations and can be neglected when this is not the case ( peltier and thibault 1985 ) .
photorespiration is a complex process of which the reactions are divided over several cell organelles .
( 2009 ) , maurino and peterhansel ( 2010 ) , ogren ( 1984 ) , and wingler et al .
1simplified overview of an algal cell in the light , showing the processes in which oxygen and energy in the form of atp are either consumed or produced . in the chloroplast ,
these are needed for the fixation of carbon dioxide by rubisco into glyceraldehyde 3-phosphate ( gap ) ( 2 ) .
gap can be regenerated into ribulose 1,5-bisphosphate using atp ( 3 ) or can be transported to the cytosol ( 4 ) to be converted into building blocks for biomass ( 5 ) .
the oxygenase activity of rubisco can also fix o2 , forming glycolate ( 6 ) .
energy is consumed to convert glycolate into 3-phosphoglycerate ( 3-pga ) and eventually into gap ( 7 ) , so it can enter the central carbon metabolism . during this process ,
co2 and ammonium ( \documentclass[12pt]{minimal } 
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				 \begin{document}$$ { \hbox{n}}{{\hbox{h}}_4}^ { + } $ $ \end{document } ) are  lost and need to be re - fixed elsewhere in the metabolism , costing more energy .
energy in the form of atp is yielded through the glycolysis and tca cycle ( 8) . electrons are carried via nadh and fadh2 to the electron transport chain located in the membrane of the mitochondria ( 9 ) , yielding more atp by taking up o2 simplified overview of an algal cell in the light , showing the processes in which oxygen and energy in the form of atp are either consumed or produced . in the chloroplast ,
these are needed for the fixation of carbon dioxide by rubisco into glyceraldehyde 3-phosphate ( gap ) ( 2 ) .
gap can be regenerated into ribulose 1,5-bisphosphate using atp ( 3 ) or can be transported to the cytosol ( 4 ) to be converted into building blocks for biomass ( 5 ) .
the oxygenase activity of rubisco can also fix o2 , forming glycolate ( 6 ) .
energy is consumed to convert glycolate into 3-phosphoglycerate ( 3-pga ) and eventually into gap ( 7 ) , so it can enter the central carbon metabolism . during this process , co2 and ammonium ( \documentclass[12pt]{minimal } 
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				 \begin{document}$$ { \hbox{n}}{{\hbox{h}}_4}^ { + } $ $ \end{document } ) are  lost and need to be re - fixed elsewhere in the metabolism , costing more energy .
energy in the form of atp is yielded through the glycolysis and tca cycle ( 8) . electrons are carried via nadh and fadh2 to the electron transport chain located in the membrane of the mitochondria ( 9 ) , yielding more atp by taking up o2 to understand the energy metabolism of algal cells and with that the conversion of light energy into biomass , insight into the rates of these three processes is necessary . in this paper
the net oxygen exchange rate , which can be directly measured , is the sum of the oxygen production by photosynthesis and oxygen consumption through respiration in the mitochondria . to know the rates of these two processes , one of these has to be measured . in this paper
, we estimate the light respiration rate by measuring the post - illumination oxygen uptake . the rate of post - illumination o2 uptake has been shown to provide a good measure for respiratory o2 uptake in the light ( grande et al .
, respiration rates decreased from an initially high rate immediately after transfer to darkness to a much lower rate after 1224  h in darkness ( geider and osborne 1989 ) .
( 1988 ) found a decline of respiration to the basal rate of steady - state dark respiration within an hour upon transfer to darkness for dunaliella tertiolecta .
this suggests that to be able to measure the rate of light respiration of c. sorokiniana , the measurement of post - illumination oxygen uptake must be performed immediately upon transfer to darkness .
in addition , at higher biomass concentrations , the oxygen uptake rate will be high , and therefore , the oxygen concentration will decrease to zero in the order of a few minutes .
widely used methods to determine respiratory o2 uptake in the light are gas analysis , mass spectrometry using oxygen isotopes and clark - type oxygen electrodes .
the advantages and disadvantages of these methods for o2 measurements are reviewed by hunt ( 2003 ) , suresh et al .
the main drawbacks of these methods are the time scale in which measurements are possible , and the fact that for some of the methods , the algae need to be transferred from the cultivation vessel to a measurement chamber .
fast and in situ measurements of oxygen uptake are preferred and these can be done using luminescence - based o2 sensors .
these fiber - optic sensors offer advantages over electrochemical devices , such as lack of oxygen consumption , insensitivity to interfering agents , and , most important , a faster response time ( lpez - gejo et al .
( 1998 ) found the same oxygen uptake data with fiber - optic sensors as with leaf disk o2 electrodes , indicating that measuring our with fiber - optic sensors is a reliable method .
this paper describes a new method to measure the rate of respiration of chlorella sorokiniana in the light , in situ inside a short light - path ( slp ) photobioreactor during cultivation , by means of a simple extension of the cultivation system .
this is done by measuring the immediate post - illumination o2 uptake using two types of commercially available fiber - optic oxygen microsensors .
this method enables rapid and frequent measurements without disturbing the cultivation and growth of the microalgae . in the photobioreactor
set - up used , the net oxygen production rate ( opr ) is measured online using a gas analysis system .
this net opr represents the oxygen that is produced as a sum of all processes in the cell that either produce or consume oxygen . by measuring the oxygen uptake rate ( our ) by respiration and adding the amount of consumed oxygen to the amount of net produced oxygen , the gross opr can be calculated giving the total rate of photosynthesis
consequently , the method described in this paper gives insight into the different processes in which oxygen is involved in the light inside a microalgal cell , and more specifically , it gives insight into the energy requirements for biomass formation and maintenance .
chlorella sorokiniana ccap 211/8k was obtained from the american type culture collection and cultivated in 250-ml shake flasks containing 100  ml adapted m-8 medium ( mandalam and palsson 1998 ) , called m-8a ( table  1 ) at ph  6.7 .
the cultures were grown in a culture chamber at 25c , a light intensity of 2040  mol photons m  s and a 16/8  h  day / night cycle . to reach inoculation cell density ,
the cultures were placed in a shake incubator for 2  days at a continuous light intensity of 280  mol photons m  s and a head space enriched with 5% co2 . 

table  1composition of m-8a mediumcompoundconcentration ( mol  l)kno329.6710kh2po45.4410na2hpo42h2o1.4610mgso47h2o1.6210cacl22h2o88.43edta ferric sodium salt315.86na2edta2h2o100.00h3bo31.00mncl24h2o65.59znso47h2o11.13cuso45h2o7.33 composition of m-8a medium for the experiments in the photobioreactor , three times concentrated m-8a medium was used to be able to reach high cell densities .
the concentration kno3 was decreased to 5  mmol  l , since hno3 was added on - demand via the ph control .
reactor set - up c. sorokiniana was grown in batch mode in a slp photobioreactor , depicted schematically in fig . 
the photobioreactor had a working volume of 3.4  l , an annular gap width of 12  mm and an illuminated area ( apbr ) of 0.24  m. the radius of the rotating inner cylinder ( ri ) was 0.076  m , and the radius of the stationary outer cylinder ( ro ) was 0.088  m. therefore , the radius ratio ( =ri / ro ) of the photobioreactor was 0.076  m/0.088  m  =  0.86 . 

2schematic overview ( not on scale ) of the slp photobioreactor . a annular gap , c condenser , d internal down comer , do dissolved oxygen sensor , ga gas analyzer , i inner cylinder , l spherical light sensor , m motor , mfc mass flow controllers for both n2 and co2 , ph ph control connected to acid pump , s sparger , t temperature control connected to cryostat and cooling jacket ( not shown)the inner cylinder was rotating at a speed of 70  rpm during the batch cultivations . to enable vertical back - mixing
, four down comers were drilled into the inner cylinder . without down comers in the inner cylinder , no vertical
back mixing occurred and the algae accumulated in the top part of the photobioreactor . by adding the down comers , the algae were mixed over the whole annular gap.light was provided continuously by 60 tungsten - halogen lamps ( philips masterline es 45w ) surrounding the reactor . the photon flux density ( pfd )
was measured with a li - cor 190-sa 2 sensor ( par range , 400700  nm ) at 80 fixed points inside the reactor before each experiment .
the measured light intensities at all 80 points were averaged into a pfd for that particular experiment .
an average light intensity of 1,500  mol photons m  s could be reached with this set - up .
the light intensity applied in these experiments ( 1,500  mol photons m  s ) is comparable to horizontal solar irradiance in the netherlands at the peak of summer.during the experiments , the transmitted irradiance through the culture was measured by a spherical light sensor ( us - sqs spherical micro quantum sensor , heinz walz gmbh , germany ) placed inside the culture broth at the depth of the annular gap , 12  mm from the internal reactor wall , as illustrated in fig . 
2.using mass flow controllers ( brooks , smart tmf 5850s ) , carbon dioxide was supplied by sparging nitrogen ( 1.55  l  min ) enriched with 2% carbon dioxide through a silicone ringsparger at the bottom of the reactor .
the ph was controlled at ph  6.7    0.1 by pumping nitric acid ( 1.7  m ) , serving also as nitrogen source .
the acid bottle , antifoam bottle , and overflow bottle were placed on balances and weighed online .
the reactor was kept at 37c , the optimal temperature for c. sorokiniana ( sorokin and myers 1953 ) , by a water jacket connected to a temperature - controlled water bath . to prevent water from evaporating into the off - gas ,
a annular gap , c condenser , d internal down comer , do dissolved oxygen sensor , ga gas analyzer , i inner cylinder , l spherical light sensor , m motor , mfc mass flow controllers for both n2 and co2 , ph ph control connected to acid pump , s sparger , t temperature control connected to cryostat and cooling jacket ( not shown ) online gas analysis and calculations the off - gas was analyzed by leading it over a gas analyzer ( servomex , 4100 ) fitted with two different gas sensor modules , a paramagnetic purity transducer to measure oxygen and an infrared 1500 transducer to measure co2.before each experiment , a dry and a wet baseline were measured to correct the experimental gas data for moisture content according to eq .  1 .
the dry baseline was measured by leading 1.55  l  min  n2 enriched with 2% co2 over the gas analyzers . for the wet baseline , the n2 enriched with co2 was first sparged through the reactor , containing medium at the same temperature and ph as during the batch experiment , and through the condenser before being analyzed . 

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				 \begin{document}$$ { n_{{{\rm{gas , out } } } } } = { n_{{{\rm{gas , in}}}}}\frac{{{x_{{{\rm{c}}{{\rm{o}}_{{2}}}{\rm{,db}}}}}}}{{{x_{{{\rm{c}}{{\rm{o}}_{{2}}}{\rm{,wb } } } } } } } $ $ \end{document}the total molar gas flow going in ( ngas , in , mmol  h ) is corrected for the molar fraction of carbon dioxide in both the dry ( \documentclass[12pt]{minimal } 
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				 \begin{document}$$ { x_{{{\rm{c}}{{\rm{o}}_{{2}}}{\rm{,db } } } } } $ $ \end{document } ) and wet baseline ( \documentclass[12pt]{minimal } 
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				 \begin{document}$$ { x_{{{\rm{c}}{{\rm{o}}_{{2}}}{\rm{,wb } } } } } $ $ \end{document } ) . with this corrected molar gas flow ngas , out ( mmol  h ) and the molar fraction of oxygen ( \documentclass[12pt]{minimal } 
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				 \begin{document}$$ { x_{{{{\rm{o}}_{{2}}}{\rm{,exp } } } } } $ $ \end{document } ) and carbon dioxide ( \documentclass[12pt]{minimal } 
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				 \begin{document}$$ { x_{{{\rm{c}}{{\rm{o}}_{{2}}}{\rm{,exp } } } } } $ $ \end{document } ) measured during the experiments , the oxygen production rate ( opr , mmol  h ) and co2 uptake rate ( cur , mmol  h ) are calculated according to eqs .  2 and 3 . 

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				 \begin{document}$$ { \hbox{opr } } = \frac{{{n_{{{\rm{gas , out}}}}}\left ( { { x_{{{{\rm{o}}_{{2}}}{\rm{,exp } } } } } - { x_{{{{\rm{o}}_{{2}}}{\rm{,wb } } } } } } \right)}}{{{100 } } } $ $ \end{document}3\documentclass[12pt]{minimal } 
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				 \begin{document}$$ { \hbox{cur } } = \frac{{{n_{{{\rm{gas , out}}}}}\left ( { { x_{{{\rm{c}}{{\rm{o}}_{{2}}}{\rm{,exp } } } } } - { x_{{{\rm{c}}{{\rm{o}}_{{2}}}{\rm{,wb } } } } } } \right)}}{{{100 } } } $ $ \end{document}the ratio between the opr and cur is the photosynthetic quotient pq ( mol o2 evolved / mol co2 consumed ) .
the pq can be calculated according to eq .  4 : 
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				 \begin{document}$$ { \hbox{pq } } = \frac{\text{opr}}{{\hbox{cur } } } $ $ \end{document}the observed biomass yield on light energy ( yx , e(obs ) , g  mol ) is defined as gram dry biomass formed per mol incident photons on the photobioreactor surface according to eq .  5 .
the photon flux ( pfin , mmol photons h ) is calculated using the measured average photon flux density ( pfdin , mol photons m  s ) and the illuminated photobioreactor area apbr ( m ) described earlier .
the dry biomass c    molar mass ( mbiomass , g  mol ) was determined as described in the next paragraph . 

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				 \begin{document}$$ { y_{{x{,}e { } \left ( { \rm{obs } } \right ) } } } = \frac{{{\text{cur } } \times { m_{\rm{biomass}}}}}{{{\hbox{p}}{{\hbox{f}}_{\rm{in } } } } } $ $ \end{document}the theoretical maximal biomass yield ( yxemax ) for growth on nitrate is estimated to be 1.57  g dry weight per mol of photons ( quanta ) ( calculation in kliphuis et al .
respiration measurements oxygen uptake through respiration ( our ) was measured using two different fiber - optic oxygen microsensors as shown in table  2 .
in experiment i , the oceanoptics ( oo ) microsensor was used , and in experiment ii , the presens ( ps ) microsensor was used . 

table  2two types of fiber - optic oxygen microsensors used in this studytype of microsensormeasuring methodresponse timeexperimental-300 foxy ( oceanoptics)fluorescence intensity<1  s ( no optical isolation)inth - pst1-l2.5-ts - ns40/0.4-yop ( presens)fluorescence decay time<1  s ( optical isolation)iithe measurement principle of both oxygen microsensors is based on the effect of dynamic fluorescence quenching by molecular oxygen .
light pulses by a light - emitting diode ( led ) ( 475  nm ) are sent to the tip of the microsensor coated by a ru(ii ) complex , which is excited by the light .
the excited complex fluoresces at 600  nm . if the excited complex encounters an oxygen molecule , the excess energy is transferred to the oxygen molecule , quenching the fluorescence signal . therefore , when more oxygen is present , more of the fluorescence will be quenched , resulting in lower fluorescence .
the fluorescence light is collected by the probe , transported through the optical fiber to the detector and translated into an oxygen concentration .
the oceanoptics microsensor translates the fluorescence intensity ( or phase shift ) to an oxygen concentration .
this decay time is the phase angle between the exciting and the emitted signal and is shifted as a function of the oxygen concentration .
the presens microsensor was equipped with an optically isolated sensor tip to exclude intrinsic chlorophyll florescence from the microalgae cells.to be able to measure the oxygen uptake rate of c. sorokiniana inside the photobioreactor , the fiber - optic microsensors needed to be calibrated in m-8a medium at 37c .
the oceanoptics microsensor was calibrated using a second order polynomial algorithm ( non - linear stern 
m-8a medium at 37c saturated with n2 was used as 0% air saturation , with pressurized air as 100% air saturation and with pure o2 as 476.2% air saturation .
therefore , m-8a medium at 37c saturated with n2 as 0% air saturation and with pressurized air as 100% air saturation were used .
the output of the fiber - optic microsensors was o2 concentration in percentage of air saturation .
the concentration dissolved o2 in mmol  l  m-8a medium could be calculated from the percentage of air saturation by correcting for the temperature and salinity of the m-8a medium according to quicker et al .
( 1981).a dark tube with a volume of 8  ml , closed with a septum was placed in the top of the photobioreactor , hanging in the culture broth as shown schematically in fig . 
the fiber - optic oxygen microsensor was inserted into the dark tube through the septum with help of a needle .
algae were sucked into the dark tube through a small hole (  1  mm ) in the bottom of the tube using a needle and a syringe . as soon as the algae are in the dark
, they will immediately stop photosynthesizing , and oxygen uptake through respiration can be measured by logging the decrease in oxygen concentration in time .
the microsensors were connected to the corresponding detectors , which were in turn connected to a pc logging the data using the corresponding software supplied with the microsensors . before and after each measurement ,
3schematic overview of the our measurement setup ( not to scale).the algae are sucked into the dark tube using a syringe .
the our of the algae is measured by a fiber - optic microsensor connected to a light source ( led ) and a detector to detect the fluorescence quenching by oxygen at the sensor tip . the detector in turn
is connected to a pc with the designated software to log the oxygen uptake in time . a annular gap , d internal down comer , dt dark tube , i inner cylinder , ms microsensor , s syringe two types of fiber - optic oxygen microsensors used in this study schematic overview of the our measurement setup (
the our of the algae is measured by a fiber - optic microsensor connected to a light source ( led ) and a detector to detect the fluorescence quenching by oxygen at the sensor tip . the detector in turn
is connected to a pc with the designated software to log the oxygen uptake in time . a annular gap , d internal down comer , dt dark tube , i inner cylinder , ms microsensor , s syringe oxygen uptake rate calculation the slope of the decrease in oxygen concentration ( mmol  kg  h ) is multiplied by the reactor volume ( vpbr , kg ) to give the our in mmol  h , according to eq .  6 : 
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				 \begin{document}$$ { \hbox{our } } ( t ) = { \hbox{slope } } \times { v_{\rm{pbr } } } $ $ \end{document}in previous experiments with c. sorokiniana , we observed the formation of a biofilm when the batch experiment was kept running for longer than 60  h and biomass densities increased to more than 10  g  l. the cells forming this biofilm were not detectable with dry weight measurements but were most probably still alive and actively contributing to o2 production and consumption in the photobioreactor .
the total accumulation of biomass , so the cells in suspension and the live cells in biofilm , at each time point during the cultivation ( cx , tot(t ) , g ) can be calculated from the cur ( cur(t ) , mol ) . for this
, we assume that every mol of co2 , which is taken up is converted into 1  c - mol of dry biomass with a known molecular weight ( mbiomass , g  mol ) , according to eq .  7 . 

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				 \begin{document}$$ { c_{{x{\rm{,tot}}}}}(t ) = { c_x}\left ( { 0 } \right ) + \int\limits_{{0}}^t { { \hbox{cur}}(t){m_{\rm{biomass}}}{\hbox{d}}t } $ $ \end{document}to calculate the cumulative cur , the amount of inoculum had to be added to the cur at t  =  0 ( cx(0 ) , g ) .
the elemental composition and molecular weight of c. sorokiniana biomass was ch1.71    0.01o0.40    0.02  n0.15    0.004 with a mbiomass of 23.682  g  mol ( including ash ) , as determined by kliphuis et al .
( 2010).this total biomass can be compared with the measured dry weight of the cells in suspension to assess whether there was biofilm formation during the experiment .
if biofilm formation takes place in the photobioreactor , it is not possible to determine if that is also the case inside the dark measuring tube .
therefore , we can calculate two values for the our . if we assume that inside the dark tube , the same biofilm is built - up as in the rest of the photobioreactor and that this biofilm actively contributes to the our , the measured our in mmol  h represents the our for the whole reactor .
if , however , there is no biofilm build - up inside the dark tube or the biofilm would be inactive due to the darkness in the tube , the measured our is only caused by the cells in suspension , which are sucked into the tube .
this measured our in mmol  h then only represents the cells in suspension . to be able to calculate the our for the whole reactor
, we then need to correct for the cells that are present in the form of biofilm in the photobioreactor , hence ourcorr.with the measured dry weight , we first calculate the specific our per biomass ( ourspec(t ) , mmol  h  g ) by dividing the our at time t ( mmol  h ) with the measured dry weight at that time ( cx(t ) , g ) according to eq .  8 : 
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				 \begin{document}$$ { \hbox{ou}}{{\hbox{r}}_{\rm{spec}}}(t ) = \frac{{{\text{our } } ( t)}}{{{c_x}(t ) } } $ $ \end{document}then , by multiplying with the total biomass present in the reactor ( cx , tot(t ) , g ) calculated from the cur ( eq .  7 ) , the ourcorr ( mmol  h ) can be calculated with eq .  9 : 
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				 \begin{document}$$ { \hbox{ou}}{{\hbox{r}}_{\rm{corr}}}(t ) = { \hbox{ou}}{{\hbox{r}}_{\rm{spec}}}(t ) \times { { \hbox{c}}_{{{\rm{x , tot}}}}}(t ) $ $ \end{document}the resulting our , whether corrected or not , can be added up to the net opr at time t ( opr , mmol  h ) as measured with gas analysis at that time point , according to eq . 
this gives the gross opr ( oprgross ) at time t ( mmol  h ) , which shows the total oxygen evolution at that time point . 

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				 \begin{document}$$ { \hbox{op}}{{\hbox{r}}_{\rm{gross}}}(t ) = { \hbox{opr } } ( t ) + { \hbox{ou}}{{\hbox{r}}_{{\left ( { \rm{corr } } \right)}}}(t ) $ $ \end{document } cell number and cell size were determined with a beckman coulter multisizer 3 ( beckman coulter inc . ,
the samples were diluted with filtered ( 0.2  m ) coulter isoton ii dilution buffer to a cell concentration between 1    10 and 3    10 cells ml .
the cell number and cell size were used to calculate the total biovolume . for dry weight determination , whatman
gf / f glass microfiber filters (  55  mm , pore size 0.7  m ) were dried at 95c overnight and placed in a desiccator to cool to room temperature .
two grams of sample were diluted with de - mineralized water and filtrated under mild vacuum ( 0.67  bar absolute ) .
the filter was rinsed twice with de - mineralized water to remove adhering inorganic salts .
the wet filters containing the samples were dried again at 95c overnight , allowed to cool to room temperature in a desiccator , and weighed . the difference in weight between the dry filters containing the samples and
cell number and cell size were determined with a beckman coulter multisizer 3 ( beckman coulter inc . ,
the samples were diluted with filtered ( 0.2  m ) coulter isoton ii dilution buffer to a cell concentration between 1    10 and 3    10 cells ml .
the cell number and cell size were used to calculate the total biovolume . for dry weight determination , whatman
gf / f glass microfiber filters (  55  mm , pore size 0.7  m ) were dried at 95c overnight and placed in a desiccator to cool to room temperature .
two grams of sample were diluted with de - mineralized water and filtrated under mild vacuum ( 0.67  bar absolute ) .
the filter was rinsed twice with de - mineralized water to remove adhering inorganic salts .
the wet filters containing the samples were dried again at 95c overnight , allowed to cool to room temperature in a desiccator , and weighed .
the difference in weight between the dry filters containing the samples and the empty weight was the dry weight of the samples .
the mixing in the slp photobioreactor was accomplished by rotating the inner tube at 70  rpm .
4 . figure  4a shows the net oxygen production rate ( opr ) and carbon dioxide uptake rate ( cur ) obtained by duplicate batch cultivations ( i and ii ) . after inoculating with a very low biomass density ,
the algae were grown at a light intensity of 200  mol photons m  s. when the biomass concentration increased to 0.1  g  l dry weight , the light was increased to 600  mol photons m  s. when the biomass concentration reached 1.2 
g  l dry weight , the light was increased to 1,500  mol photons m  s , which is the light intensity of interest .
after this increase in light supply to 1,500  mol photons m  s at 23  h , the opr and cur increased dramatically and continued to increase until an optimum was reached at 27  h. after reaching this optimum at a biomass density of 2.3  g  l dry weight , the opr and cur decreased again until the batch was ended . 

4detailed overview of duplicate batch experiments i and ii at a mixing rate of 70  rpm .
a oxygen production rates ( opr ) , carbon dioxide uptake rates ( cur ) ( in mmol  h ) and photosynthetic quotient ( pq ) for both experiments .
all data are normalized for the time point of light increase to 1,500  mol photons m  s , which is indicated with a dotted line .
b total biomass present in the reactor ( in g ) as calculated from the cur as well as the measured dry weight present in the reactor ( in g ) for duplicate batch experiments i and ii . also plotted is the transmitted irradiance through the culture during the batch experiment .
the two peaks indicate the stepwise light increase , the first time to 600  mol photons m  s when the biomass is still relatively low and the second time to 1,500  mol photons m  s. this second light increase is indicated with a dotted line detailed overview of duplicate batch experiments i and ii at a mixing rate of 70  rpm .
a oxygen production rates ( opr ) , carbon dioxide uptake rates ( cur ) ( in mmol  h ) and photosynthetic quotient ( pq ) for both experiments
. all data are normalized for the time point of light increase to 1,500  mol photons m  s , which is indicated with a dotted line .
b total biomass present in the reactor ( in g ) as calculated from the cur as well as the measured dry weight present in the reactor ( in g ) for duplicate batch experiments i and ii . also plotted is the transmitted irradiance through the culture during the batch experiment .
the two peaks indicate the stepwise light increase , the first time to 600  mol photons m  s when the biomass is still relatively low and the second time to 1,500  mol photons m  s. this second light increase is indicated with a dotted line the pq values for the duplicate experiments are also shown in fig . 
when the light was increased to 1,500  mol photons m  s , the pq fluctuated and finally stabilized at a value of 1.34 for both duplicate experiments .
the pq value shows that if the composition of the produced biomass changes ( eriksen et al .
2007 ) , different substrates are used or other products are formed , thus serving as a control parameter for photoautotrophic growth . in this case , the pq for both experiments shows the same trend and the same values , indicating that the growth of both cultures was comparable .
the fluctuation of the pq observed after the light increase to 1,500  mol photons m  s is probably related to changes in biomass composition as for example a change in the amount of stored carbohydrates . during the experiments
the light penetrating the culture was measured by a spherical par sensor hanging inside the culture at the depth of the annular gap as shown in fig . 
the stepwise light increase can be clearly seen as well as the fast decrease of light penetrating the culture when the biomass increased . at the optimum opr and cur ,
both the measured biomass , representing the biomass in suspension as determined by dry weight measurements , and the calculated total biomass , representing all the biomass present in the reactor calculated with eq . 
7 , are given . in the beginning of the batch experiments , the measured and the calculated total biomass were equal , but during the experiment , as the biomass density increased above 10 
during the experiments , especially experiment ii , a thin biofilm formed on the reactor wall , which contributed to the opr and cur but could not be measured by taking samples and measuring dry weight because these only represented the cells present in suspension . during the batch experiments , respiration was quantified by measuring the our of the microalgae inside the dark tube .
when the algae were sucked into the dark tube , the starting o2 concentration was the same as in the photobioreactor at that time point .
all oxygen was consumed after about 4  min , and after a while , the tube was flushed , and new algae were sucked into the dark for a duplicate measurement .
the o2 concentration in% air saturation was converted to mmol  l as described before , and the slope thus gave the our ( t ) in mmol  h ( eq .  6 ) .
this measurement was performed at different time points during the batch ( either in duplicate or triplicate ) , and a biomass sample was taken from the bottom of the photobioreactor simultaneously .
figure  4b shows a deviation between the measured and calculated biomass content of the bioreactor at higher biomass concentrations , and we observed the formation of a thin biofilm .
this biofilm formation starts at high biomass concentrations of over 10  g  l and becomes more pronounced at even higher concentrations of around 20  g  l dry weight .
the algae are probably very light limited at that point and likely react to this by forming a thin biofilm . to be able to also judge respiration and gross opr at these high biomass concentrations ,
this correction was performed assuming no biofilm build - up in the dark tube and only in the photobioreactor .
this correction also reflects the situation if a possible biofilm inside the dark tube would be inactive due to the darkness in the tube .
the uncorrected our gives the values for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor . both values will be given in all figures to show the two most extreme scenarios , and the margin of error that can be due to biofilm formation at ( very ) high biomass densities . 

5duplicate our measurement . upon transfer to the dark the microalgae consumed the oxygen present in the liquid .
when all oxygen was consumed , the tube was flushed , and the process was repeated for a duplicate measurement at that time point . at the same time , one biomass sample was taken .
the slope represents the our and was converted to mmol  h using eq . 
when all oxygen was consumed , the tube was flushed , and the process was repeated for a duplicate measurement at that time point . at the same time , one biomass sample was taken .
the slope represents the our and was converted to mmol  h using eq .  6 figure  6a shows the our data for experiment i , and fig . 
both graphs show the net opr as measured online and the our measured with the oxygen microsensors , indicated with triangles .
the values for both our and ourcorr are equal in the beginning of the experiment and start to deviate in time , due to the biofilm increasing in size .
6oxygen uptake rates and gross oxygen production rates ( opr ) for duplicate batch experiments i ( a ) and ii ( b ) at 70  rpm .
the net oxygen production rate ( net opr ) was measured online during the batch cultivations .
the our was measured with the oxygen microsensors at different time points as indicated with triangles .
the error bars represent the standard deviation of duplicate or triplicate our measurements at that time point .
adding up the our and the net opr at these time points gives the gross opr , indicated with circles .
the closed symbols give the corrected values for our ( ourcorr ) , assuming no biofilm build - up in the dark tube and only in the photobioreactor .
the open symbols give the values for our for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor .
the light increase to 1,500  mol photons m  s is indicated by a dotted line oxygen uptake rates and gross oxygen production rates ( opr ) for duplicate batch experiments i ( a ) and ii ( b ) at 70  rpm . the net oxygen production rate ( net opr )
the our was measured with the oxygen microsensors at different time points as indicated with triangles .
the error bars represent the standard deviation of duplicate or triplicate our measurements at that time point .
adding up the our and the net opr at these time points gives the gross opr , indicated with circles .
the closed symbols give the corrected values for our ( ourcorr ) , assuming no biofilm build - up in the dark tube and only in the photobioreactor .
the open symbols give the values for our for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor .
the light increase to 1,500  mol photons m  s is indicated by a dotted line figure  6 also shows the gross opr for both experiments , indicated with circles .
the net opr is measured online based on the gas analysis and represents the oxygen that is produced as a sum of all processes in the cell that either produce or consume oxygen . in photosynthesis
this is not reflected in the net opr , but by measuring the our and adding the amount of consumed o2 to the amount of net produced oxygen , the gross opr can be calculated .
the our and gross opr increase with increasing net opr and stabilize after the optimum opr is reached .
the gross opr is 3045% higher than the net opr . from the our and the simultaneous biomass measurements , the specific our
the measured our was divided by the total biomass cx , tot calculated according to eq . 
the online measured opr for both experiments is shown , and the dotted line represents the light increase to 1,500  mol photons m  s. the specific our is highest at the optimum opr and decreases with the decreasing opr until it reaches a stable value at the end of the experiments . 

7specific our ( mmol  h  g dw ) for duplicate experiments i and ii .
the our was measured at different time points at which the biomass concentration was also measured .
the closed symbols give the corrected values for ourxpec ( ourxpec , corr ) , assuming no biofilm build - up in the dark tube and only in the photobioreactor .
the open symbols give the values for ourspec for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor .
the error bars represent the standard deviation of duplicate or triplicate our measurements at that time point . the light increase to 1,500  mol photons m 
s is indicated by a dotted line specific our ( mmol  h  g dw ) for duplicate experiments i and ii .
the our was measured at different time points at which the biomass concentration was also measured .
the closed symbols give the corrected values for ourxpec ( ourxpec , corr ) , assuming no biofilm build - up in the dark tube and only in the photobioreactor .
the open symbols give the values for ourspec for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor .
the error bars represent the standard deviation of duplicate or triplicate our measurements at that time point .
the light increase to 1,500  mol photons m  s is indicated by a dotted line
during the batch experiments , respiration was quantified by measuring the our of the microalgae inside the dark tube .
when the algae were sucked into the dark tube , the starting o2 concentration was the same as in the photobioreactor at that time point .
all oxygen was consumed after about 4  min , and after a while , the tube was flushed , and new algae were sucked into the dark for a duplicate measurement .
the o2 concentration in% air saturation was converted to mmol  l as described before , and the slope thus gave the our ( t ) in mmol  h ( eq .  6 ) .
this measurement was performed at different time points during the batch ( either in duplicate or triplicate ) , and a biomass sample was taken from the bottom of the photobioreactor simultaneously .
figure  4b shows a deviation between the measured and calculated biomass content of the bioreactor at higher biomass concentrations , and we observed the formation of a thin biofilm .
this biofilm formation starts at high biomass concentrations of over 10  g  l and becomes more pronounced at even higher concentrations of around 20  g  l dry weight .
the algae are probably very light limited at that point and likely react to this by forming a thin biofilm . to be able to also judge respiration and gross opr at these high biomass concentrations , the our was also corrected according to eq . 
this correction was performed assuming no biofilm build - up in the dark tube and only in the photobioreactor .
this correction also reflects the situation if a possible biofilm inside the dark tube would be inactive due to the darkness in the tube .
the uncorrected our gives the values for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor . both values will be given in all figures to show the two most extreme scenarios , and the margin of error that can be due to biofilm formation at ( very ) high biomass densities . 

5duplicate our measurement . upon transfer to the dark the microalgae consumed the oxygen present in the liquid .
when all oxygen was consumed , the tube was flushed , and the process was repeated for a duplicate measurement at that time point . at the same time , one biomass sample was taken .
the slope represents the our and was converted to mmol  h using eq . 
when all oxygen was consumed , the tube was flushed , and the process was repeated for a duplicate measurement at that time point . at the same time , one biomass sample was taken .
the slope represents the our and was converted to mmol  h using eq .  6 figure  6a shows the our data for experiment i , and fig . 
both graphs show the net opr as measured online and the our measured with the oxygen microsensors , indicated with triangles .
the values for both our and ourcorr are equal in the beginning of the experiment and start to deviate in time , due to the biofilm increasing in size .
6oxygen uptake rates and gross oxygen production rates ( opr ) for duplicate batch experiments i ( a ) and ii ( b ) at 70  rpm .
the net oxygen production rate ( net opr ) was measured online during the batch cultivations .
the our was measured with the oxygen microsensors at different time points as indicated with triangles .
the error bars represent the standard deviation of duplicate or triplicate our measurements at that time point . adding up the our and the net opr at these time points
the closed symbols give the corrected values for our ( ourcorr ) , assuming no biofilm build - up in the dark tube and only in the photobioreactor .
the open symbols give the values for our for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor .
the light increase to 1,500  mol photons m  s is indicated by a dotted line oxygen uptake rates and gross oxygen production rates ( opr ) for duplicate batch experiments i ( a ) and ii ( b ) at 70  rpm . the net oxygen production rate ( net opr )
the our was measured with the oxygen microsensors at different time points as indicated with triangles .
the error bars represent the standard deviation of duplicate or triplicate our measurements at that time point . adding up the our and the net opr at these time points
the closed symbols give the corrected values for our ( ourcorr ) , assuming no biofilm build - up in the dark tube and only in the photobioreactor .
the open symbols give the values for our for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor .
the light increase to 1,500  mol photons m  s is indicated by a dotted line figure  6 also shows the gross opr for both experiments , indicated with circles .
the net opr is measured online based on the gas analysis and represents the oxygen that is produced as a sum of all processes in the cell that either produce or consume oxygen . in photosynthesis
this is not reflected in the net opr , but by measuring the our and adding the amount of consumed o2 to the amount of net produced oxygen , the gross opr can be calculated .
the our and gross opr increase with increasing net opr and stabilize after the optimum opr is reached .
the gross opr is 3045% higher than the net opr . from the our and the simultaneous biomass measurements , the specific our
the measured our was divided by the total biomass cx , tot calculated according to eq .  7 .
these data are shown in fig .  7 for both experiments i and ii .
the online measured opr for both experiments is shown , and the dotted line represents the light increase to 1,500  mol photons m  s. the specific our is highest at the optimum opr and decreases with the decreasing opr until it reaches a stable value at the end of the experiments . 

7specific our ( mmol  h  g dw ) for duplicate experiments i and ii .
the our was measured at different time points at which the biomass concentration was also measured .
the closed symbols give the corrected values for ourxpec ( ourxpec , corr ) , assuming no biofilm build - up in the dark tube and only in the photobioreactor .
the open symbols give the values for ourspec for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor .
the error bars represent the standard deviation of duplicate or triplicate our measurements at that time point . the light increase to 1,500  mol photons
m  s is indicated by a dotted line specific our ( mmol  h  g dw ) for duplicate experiments i and ii .
the our was measured at different time points at which the biomass concentration was also measured .
the closed symbols give the corrected values for ourxpec ( ourxpec , corr ) , assuming no biofilm build - up in the dark tube and only in the photobioreactor .
the open symbols give the values for ourspec for the assumption that there was a biofilm in the dark tube , and the build - up was equal to that in the whole bioreactor .
the error bars represent the standard deviation of duplicate or triplicate our measurements at that time point . the light increase to 1,500  mol photons m 
to be able to gain insight in microalgal respiration during photosynthesis in the light , we measured the oxygen uptake of the algae immediately upon transfer into darkness during different time points in the batch experiments .
the post - illumination oxygen uptake rates were thus measured at different biomass concentrations and therefore at different light supply rates . immediately upon transfer to darkness , photosynthesis stopped , and the o2 present in the dark tube was taken up by the algae within minutes .
both optical microsensors were able to measure this uptake since the response time of both sensors was in the order of seconds .
this measurement was very similar to all other measurements we performed . on each measurement output , we performed linear regression , and we always found a r of 0.95 or higher and a p value well below 0.05 , indicating that the decrease of o2 was linear . from these measurements , a slope could be calculated , indicating the volumetric our in mmol  h  kg .
it is also interesting to note that during this measurement , no change in the slope could be detected . on the timescale of these measurements ,
the oxygen uptake rate did not decrease toward the lower respiration rate of dark adapted algae .
this lower dark rate would be reached on a timescale of hours according to the literature ( bate et al .
1988 ; geider and osborne 1989 ) , and with this fast measurement , we were not able to see this lower respiration rate of dark adapted algae . therefore , the measured our must have been predominantly caused by mitochondrial ( light ) respiration .
another process that could cause o2 uptake in the light is photorespiration , but we estimated that photorespiration only could take place at a low rate .
ogren ( 1984 ) described an equation to calculate the relative rate of photosynthesis versus photorespiration vc / vo for isolated rubisco ( eq .  11 ) .
it is important to note that this equation was derived for free rubisco enzymes and that several transport processes play a role in the functioning of rubisco in whole cells .
currently , it is not possible to calculate the intracellular co2 and o2 concentration at the site of rubisco , and the selectivity of the free enzyme is the only way to estimate whether photorespiration takes place at the concentrations of o2 and co2 present in the cultivation medium .
the specificity factor srel was determined experimentally to be 61 for chlamydomonas reinhardtii ( ogren 1984 ) . 

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				 \begin{document}$$ \frac{{{v_{\rm{c}}}}}{{{v_{\rm{o } } } } } = { s_{\rm{rel}}}\frac{{\left [ { { \text{c}}{{\text{o}}_{{2 } } } } \right]}}{{\left [ { { { \hbox{o}}_{{2 } } } } \right ] } } $ $ \end{document } at the point of maximum productivity in experiment ii , which was higher than for experiment i , the dissolved oxygen reached 122% air saturation corresponding to an oxygen concentration in the medium of 260  mol  l. at this point , the concentration dissolved co2 was 102 
mol  l ( corresponding to 1.26% v / v co2 in the gas phase , i.e. , the logarithmic average of the ingoing and outgoing co2 volume fractions ) as calculated by the method described by royce and thornhill ( 1991 ) .
this method is based on the measured opr and dissolved oxygen concentration to calculate the mass transfer coefficient for o2 and subsequently co2 , followed by the calculation of the dissolved carbon dioxide concentration .
this means that the rate of photorespiration is indeed very low , 4% of photosynthesis , at that point . during the rest of the experiment ,
the ratio of co2 to o2 increased again so the rate of photorespiration will have been < 4% of gross photosynthesis .
this is much smaller than the difference between net and gross opr , and this difference therefore must have been predominantly caused by mitochondrial respiration .
photorespiration could lead to the accumulation of photorespiratory intermediates , which could still be converted in the photorespiratory pathway upon transfer of the cells to darkness and lead to products that can be respired .
this post - illumination effect could hypothetically lead to enhanced respiration in the first minutes after transfer to darkness .
however , the slope of the respiration measurement ( i.e. , the rate of decrease of o2 concentration , fig . 
5 ) did not decrease , indicating that this effect was negligible , which further supports our conclusion that photorespiration as a whole was negligible under the applied cultivation conditions . to show the total oxygen evolution by photosynthesis ( the gross opr ) , the online measured net opr and
the graphs for both experiments generally show the same pattern , although the values for experiment ii are slightly higher . this could be due to the use of different microsensors .
it is known that the respiration rate is related to the growth rate ( falkowski et al .
therefore , when the algae are growing faster , more energy for growth is needed , and the our will be higher and , consequently , the gross opr will be higher too as can be seen from our results . the our increases with increasing biomass , and when the pq ( as shown in fig . 
4 ) stabilizes , the our values also become relatively constant . near the end of both experiments , the our starts to increase .
when looking at the rates of o2 uptake where the pq is constant , the gross opr was 3540% higher than the net opr for both experiments .
( 1989 ) for thalassiosira as measured by mass spectrometry , and the 1743% found for cyanobacterial biofilms as measured with a clark - type microsensor ( khl et al .
compared to specific studies using c. sorokiniana , our values are high . in two studies ,
vona et al . determined the difference between gross opr and net opr to be 5% for c. sorokiniana ( vona et al .
however , they used different culture conditions , and more importantly , they used a different , ex situ , method to measure the o2 uptake rate . in the aforementioned study
, the respiratory o2 uptake was measured by transferring the cells to a biological oxygen meter ( bom ) equipped with an oxygen electrode .
transferring the cells from the cultivation vessel to a bom might result in a lower growth rate and a lower o2 uptake of the cells .
2010 ) , we observed an optimum opr and cur at a biomass concentration of around 2.3 
this point is the moment where the biomass yield on light energy ( yx , e(obs ) ) reaches its maximum value , 0.82  g  mol for experiment i and 0.87  g  mol for experiment ii .
at first , more light was available per cell . because of this the algae could fix more co2 , produce more o2 and grow faster . while the biomass concentration in the photobioreactor keeps increasing , as can be seen in fig . 
4b , the available light per cell decreases due to mutual shading , and the opr and cur reach an optimum .
after this point , the opr and cur decrease again and keep on doing so until the end of the batch experiment .
this decrease in net opr and cur after having reached the optimum can now be related to the specific our , which is shown in fig . 
the specific our is highest at the optimum of the net opr and decreases together with the net opr until it reaches a stable value toward the end of the experiments .
this trend can be explained by taking into account that part of the respiratory activity is coupled to growth , as discussed before , but that another part is related to the maintenance requirements of the microalgae .
maintenance in this context is defined as energy consumption for purposes other than growth ( pirt 1965 ) . when there is sufficient light available per cell , the algae grow fast and need energy ( atp ) to support growth .
this energy is supplied by respiration of a part of the carbohydrates produced in photosynthesis , and thus , the specific our will be high .
a portion of the available light per cell , on the other hand , is needed to generate energy for maintenance , possibly also via respiration of carbohydrates produced in photosynthesis .
thus , after having reached the optimum productivity , the cell density is such that all light is absorbed in the system .
when the cell density increases further , the energy extracted from this light ( via photosynthesis and respiration ) will decrease from a maximal value during the optimum , consisting of a large growth - associated fraction and a smaller but constant maintenance - associated fraction , to a low value , composed of predominantly the constant maintenance - associated fraction .
this analysis is supported by the maintenance requirement of c. sorokiniana , which was determined in an independent study of zijffers et al .
the specific our decreases toward the end of the experiments until it reaches a stable value of around 0.3  mmol o2 h  g. this low value for the specific our is in the same order as the value for maintenance requirement determined experimentally by zijffers et al .
( 2010 ) determined a maintenance constant of 6.8  mmol photons g  h for c. sorokiniana based on the maintenance / growth model by pirt ( 1986 ) .
the corresponding yield yx , e was 0.75  g  mol photons for growth on urea .
the yxemax for photoautotrophic growth on urea is estimated to be 1.8  g  mol .
the maintenance constant therefore needs to be corrected for this growth inefficiency by multiplying with a factor 0.75/1.8 , yielding a corrected maintenance constant of 2.84  mmol photons g  h. in the light reaction of photosynthesis , eight photons are used to produce 1  mol o2 .
the formed atp is used to fix 1  mol co2 into 1  c - mol biomass .
when we assume that all o2 uptake is due to maintenance , 1  mol o2 is taken up per eight photons , giving 2.84    1/8  =  0.36  mmol o2 g  h. this value represents the our for maintenance only and corresponds well with the value found in our experiments . in short , zijffers et al .
determined the maintenance light requirements of c. sorokiniana based on the corresponding light use . in this study , we measured the specific oxygen consumption rate , which converged to a low and constant value at the end of the batch cultivation . recalculating the data from zijffers et al .
this shows that respiration could fulfill the maintenance requirements of the microalgal cells . to conclude , the method described in this paper for measuring the respiration rates of microalgae proved to be a good technique for determining the oxygen uptake in situ during cultivation in a photobioreactor .
only a small and simple extension of the system was necessary to be able to measure respiration rates .
this method enables rapid and frequent measurements without disturbing the cultivation and growth of the microalgae .
the rate of oxygen uptake in the light gives insight in the gross oxygen evolution by photosynthesis , which is 3045% higher than net oxygen evolution rate .
respiration rates in the light are very high , and consequently , photosynthesis rates are very high to produce sugars , which can be respired to produce extra atp for growth .
measuring respiration rates during batch cultivation showed the relationship between growth and respiration as an energy supporting mechanism .
it also provided strong evidence that respiration could fulfill the maintenance requirement of the microalgal cells .
nomenclatureradius ratio of the photobioreactor ( -)  tspecific growth rate at time t ( h)apbrilluminated photobioreactor area ( m)curcarbon dioxide uptake rate ( mmol h)curcumcumulative carbon dioxide uptake rate ( mol)cxbiomass present in the photobioreactor as measured with dry weight measurement ( g)cx , tottotal biomass present in the photobioreactor , including biofilm , calculated from co2 uptake ( g)kmaffinity constant for carbon dioxide ( mol l)mbiomassmolar mass of dry biomass ( g mol)me , xmaintenance coefficient ( mol g h)ngas , intotal molar gas flow going into the reactor ( mmol h)ngas , outtotal molar gas flow going out of the reactor corrected for moisture content ( mmol h)oproxygen production rate ( mmol h)oprgrossgross oxygen production rate ( mmol h)ouroxygen uptake rate ( mmol h)ourcorroxygen uptake rate corrected for biofilm in the photobioreactor ( mmol h)ourspecoxygen uptake rate per unit biomass ( mmol h g)parphotosynthetic active radiation , all photons between 400 and 700 nmpfinphoton flux on the surface of the photobioreactor ( mmol h)pfdinphoton flux density on the surface of the photobioreactor ( mol m s)pqphotosynthetic quotient ( -)re , xlight supply rate ( mol g s)riradius of inner ( rotating ) cylinder ( m)roradius of outer ( stationary ) cylinder ( m)vpbrphotobioreactor volume ( kg)xco2,dbmolar fraction of co2 in dry baseline ( -)xco2,expmolar fraction of co2 in experimental gas data ( -)xco2,wbmolar fraction of co2 in wet baseline ( -)xo2,expmolar fraction of o2 in experimental gas data ( -)xo2,wbmolar fraction of o2 in dry baseline ( -)yx , ebiomass yield on light energy ( g mol)yxemaxmaximal yield of biomass on light energy ( g mol)yx , e(obs)observed biomass yield on light energy ( g mol ) radius ratio of the photobioreactor ( - ) specific growth rate at time t ( h ) illuminated photobioreactor area ( m ) carbon dioxide uptake rate ( mmol h ) cumulative carbon dioxide uptake rate ( mol ) biomass present in the photobioreactor as measured with dry weight measurement ( g ) total biomass present in the photobioreactor , including biofilm , calculated from co2 uptake ( g ) affinity constant for carbon dioxide ( mol l ) molar mass of dry biomass ( g mol ) maintenance coefficient ( mol g h ) total molar gas flow going into the reactor ( mmol h ) total molar gas flow going out of the reactor corrected for moisture content ( mmol h ) oxygen production rate ( mmol h ) gross oxygen production rate ( mmol h ) oxygen uptake rate ( mmol h ) oxygen uptake rate corrected for biofilm in the photobioreactor ( mmol h ) oxygen uptake rate per unit biomass ( mmol h g ) photosynthetic active radiation , all photons between 400 and 700 nm photon flux on the surface of the photobioreactor ( mmol h ) photon flux density on the surface of the photobioreactor ( mol m s ) photosynthetic quotient ( - ) light supply rate ( mol g s ) radius of inner ( rotating ) cylinder ( m ) radius of outer ( stationary ) cylinder ( m ) photobioreactor volume ( kg ) molar fraction of co2 in dry baseline ( - ) molar fraction of co2 in experimental gas data ( - ) molar fraction of co2 in wet baseline ( - ) molar fraction of o2 in experimental gas data ( - ) molar fraction of o2 in dry baseline ( - ) biomass yield on light energy ( g mol ) maximal yield of biomass on light energy ( g mol ) observed biomass yield on light energy ( g mol )
 respiration and photosynthesis are two important processes in microalgal growth that occur simultaneously in the light . to know the rates of both processes , at least one of them has to be measured . to be able to measure the rate of light respiration of chlorella sorokiniana , the measurement of oxygen uptake must be fast , preferably in the order of minutes . 
 we measured the immediate post - illumination respiratory o2 uptake rate ( our ) in situ , using fiber - optic oxygen microsensors , and a small and simple extension of the cultivation system . 
 this method enables rapid and frequent measurements without disturbing the cultivation and growth of the microalgae . 
 two batch experiments were performed with c. sorokiniana in a short light - path photobioreactor , and the our was measured at different time points . the net oxygen production rate ( net opr ) 
 was measured online . 
 adding the our and net opr gives the gross oxygen production rate ( gross opr ) , which is a measure for the oxygen evolution by photosynthesis . 
 the gross opr was 3540% higher than the net opr for both experiments . 
 the respiration rate is known to be related to the growth rate , and it is suggested that faster algal growth leads to a higher energy ( atp ) requirement , and as such , respiratory activity increases . 
 this hypothesis is supported by our results , as the specific our is highest in the beginning of the batch culture when the specific growth rate is highest . 
 in addition , the specific our decreases toward the end of the experiments until it reaches a stable value of around 0.3  mmol o2 h1  g1 . 
 this value for the specific our is equal to the maintenance requirement of c. sorokiniana as determined in an independent study of ( zijffers et al . 
 2010 ( in press ) ) . 
 this suggests that respiration could fulfill the maintenance requirements of the microalgal cells . 
Introduction
Materials and methods
Biomass determinations
Results
Respiration measurements
Discussion