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Liquid Culture Systems for in vitro Plant Propagation

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Application of Bioreactor Design Pr<strong>in</strong>ciples 27<br />

k S (cm/hr)<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

ks,required<br />

0 0.05 0.1 0.15 0.2<br />

Diameter (cm)<br />

ks,available<br />

Figure 2: Comparison of oxygen transport required <strong>for</strong> aerobic respiration and availability <strong>in</strong><br />

terms of the mass transfer coefficients calculated by equations 3 and 4.<br />

The required mass transfer coefficient (ks,required) based on oxygen consumption<br />

(BOD= 300 µmol O2 cm -3 (tissue)·hr -1 ) is calculated <strong>for</strong> cyl<strong>in</strong>drical (�) and spherical (�) plant<br />

tissues. The available mass transfer coefficient (ks,available) is calculated based on the<br />

sedimentation rates that would result <strong>for</strong> a cyl<strong>in</strong>drical (�) and a spherical (�) tissue (�tissue =<br />

1.04 g ml -1 ).<br />

4. Manipulat<strong>in</strong>g oxygen availability<br />

<strong>Plant</strong> tissues (and embryos <strong>in</strong> particular) can cope with reduced oxygen<br />

availability, there<strong>for</strong>e it is unclear what the physiological impact would be.<br />

None the less, recogniz<strong>in</strong>g the physiological changes associated with oxygen<br />

availability, it is useful to understand how availability can be controlled <strong>in</strong><br />

bioreactors. Referr<strong>in</strong>g to equation 3, the only parameter that can be readily<br />

manipulated is the liquid dissolved oxygen concentration (C L ). Control of<br />

CL is most easily discussed <strong>in</strong> terms of the limit<strong>in</strong>g case where the bulk<br />

media dissolved oxygen approaches its equilibrium value (C * ) as depicted <strong>in</strong><br />

figure 1. The equilibrium dissolved oxygen (D.O.) is dependent on<br />

environmental conditions as follows:

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