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Team:SCUT/Modeling
From 2013.igem.org
Introduction
The creation of our odorant producer and sensor arise us with interesting questions: Is the system feasible? And how fast would the sensing response be? Instead of costing too much time in the lab, we turned to modeling to give us an answer. We have built a kinetic model for our systems, diacetyl generation, oscillation and odr-10 pathway, to give us an estimate to observe a result.
Diacetyl Producer
Our pathway model for diacetyl producer consists of two parts: ODE pathway analysis and parameter sensitivity analysis. ODE pathway analysis is to examine the feasibility of our pathway. It is the foundation of model analysis.
Figure 1. ODE pathway analysis
Figure 2. Reaction Rate sensitivity analysis
Modelling of Oscillation
To describe the mechanisms of oscillation, we developed a deterministic and “degrade-and-fire” model, using delayed differential equations for protein and LuxI concentrations. Although the nature of oscillations is related to the degrade-and-fire oscillations observed in a dual delayed feedback circuit, an important difference in our model is the coupling in different cells through extracellular AHL. The model of this coupling, and the related cell-density dependence, allowed us to explain most of the oscillation mechanisms.
Figure 3. "degrade-and-fire" model
Pathway model of odr-10
Our pathway model for odr-10 consists of four parts: ODE pathway analysis, parameter sensitivity analysis, parameter sweep, stochastic analysis. ODE pathway analysis is to examine the feasibility of our odr-10 pathway. It also provides the foundation for next 3 sections of analysis.
Through parameter sensitivity analysis, it can distinguish the important parameters for the pathway system. And we can figure out the best parameter set of our system by parameter sweep. Finally, noise analysis based on Gillespie algorithm of the important parameters. The analysis can simulate the influence effects of real conditions in vivo.
| Odr-10 pathway simulation | Parameter sensitivity analysis |
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| Parameter sweep for optimization | Noise analysis |
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