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Model Mathematics

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Component: temporalExistence

Component: Device_TFgenerator

JTF = alphaTF

Component: BioEnv_TFSAssociation_interface

Jgain_TFS = 0 Jgain_TF = JTF + JTF2

Component: BioEnv_TFSAssociation

Jassociation = betaTFS s TF - (kd TFS) \frac{d}{d time} (TF) = (- Jassociation) + Jgain_TF - (deltaTF TF) \frac{d}{d time} (TFS) = (Jassociation - (deltaTFS TFS)) + Jgain_TFS

Component: Device_PhzMSgenerator

JTF = \{\begin{matrix} \frac{betaTF TFS}{gammaTF + TFS} if feedbackOn \neq 0 \\ 0 otherwise \end{matrix} JPhzMS = \frac{betaPhzMS TFS}{gammaPhzMS + TFS}

Component: BioEnv_PhzMStoPYO_interface

Jgain_PYO = 0 Jgain_PhzMS = JPhzMS

Component: BioEnv_PhzMStoPYO

JPYOformation = alphaPYO PhzMS \frac{d}{d time} (PhzMS) = Jgain_PhzMS - (deltaPhzMS PhzMS) \frac{d}{d time} (PYO) = (Jgain_PYO - (deltaPYO PYO)) + JPYOformation

Source: Derived from workspace Gilbert, Heiner, Rosser, Fulton, Gu, Trybilo, 2007 at changeset 86b9d68f693f.

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A Case Study in Model-driven Synthetic Biology