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Team:Peking/Modeling/Analysis
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=Mechanisms of Minimal IOA Networks and Key Parameters Analysis= | =Mechanisms of Minimal IOA Networks and Key Parameters Analysis= | ||
| + | Aimed at answering the question why the two topologies defined above (Figure 8) is functional in IOA, we unravel their mechanisms using the ODE equations in this part, also getting the parameter restrictions of each topology. | ||
| + | '''NCL Topology''' | ||
| + | When the network has built steady state: | ||
| + | <math> | ||
| + | \[\frac{{d{X_1}}}{{dt}} = {\beta _{\rm{0}}}(1 - {\lambda _{21}}\frac{{{X_2}}}{{{K_{21}} + {X_2}}}) + {\beta _{\rm{m}}}[1 - (1 - {\lambda _{21}}\frac{{{X_2}}}{{{K_{21}} + {X_2}}})] - {\alpha _1}{X_1} = 0\] | ||
| + | </math> | ||
Revision as of 12:46, 25 October 2010
Overview of Modeling
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Analyses and Results
Mechanisms of Minimal IOA Networks and Key Parameters Analysis
Aimed at answering the question why the two topologies defined above (Figure 8) is functional in IOA, we unravel their mechanisms using the ODE equations in this part, also getting the parameter restrictions of each topology. NCL Topology When the network has built steady state: <math> \[\frac{{d{X_1}}}Template:Dt = {\beta _{\rm{0}}}(1 - {\lambda _{21}}\frac{{{X_2}}}{{{K_{21}} + {X_2}}}) + {\beta _{\rm{m}}}[1 - (1 - {\lambda _{21}}\frac{{{X_2}}}{{{K_{21}} + {X_2}}})] - {\alpha _1}{X_1} = 0\] </math>
