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Revision as of 21:56, 30 October 2017
Behavior of CATE inside Tumor
We developed a model to gauge the behavior of our sensing circuit in the real life conditions of solid tumor colonization. Since it was not practically feasible to conduct experiments of bacterial colonization inside tumors, we used results from reference to simulate colonization in a thin spherical layer inside a solid tumor.
The COMSOL model helped us to extend our MATLAB model in the following ways:
- Diffusion physics of AHL was included to extend the ODEs into PDEs
Our MATLAB model does not take into account diffusion of AHL, since in the viable lab experiments (in test-tubes), the only sink for AHL is its degradation. However, in a tumor as explained in reasoning, diffusion has much more significant contribution than degradation. Thus our model helped us gauge and verify the behavior of our tumor-sensing circuit in more real-life conditions pertaining to the intended application context. Using the results obtained from our simulations, we could check the behavior of the AND gate functioning in different conditions of dcell and lactate.
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Diffusion physics of Azurin was included to simulate the effect of lysis
To simulate the effect of lysis, our COMSOL model stops the production of Azurin and starts its diffusion when temperature reaches 42°C. This simulates the effect of increase in temperature with FUS to cause cell lysis. Using data obtained from such a simulation, we could also find the temporal-maximum concentrations of Azurin at each point in the tumor, effectively helping us to estimate the killing area.
Using our model, we also tried a few other colonization patterns to show our system works as expected inside a tumor while stays dormant in healthy tissue. We simulated the following patterns:
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Homogeneous distribution in a Single spherical-shell-shaped layer in Tumor
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Heterogeneous distribution in a Single spherical-shell-shaped layer in Tumor
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Heterogeneous distribution in Double spherical-shell-shaped layer in Tumor
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Homogeneous distribution in Healthy tissue
Model Overview
This section presents a brief overview of the COMSOL model. For details go to
- Parameters
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Equations
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Growth phase
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Sensing (AHL and LuxI)
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Azurin
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Growth phase
- Assumptions
Results
Beautiful GIFs coming soon .... MUST REALLY SOON
- CASE: Tumour colonization - High dcell AND High Lactate
- CASE: Healthy tissue colonization: High dcell AND Low Lactate
- CASE: Tumour not colonized: Low dcell AND High Lactate
- CASE: Healthy tissue not colonized: Low dcell AND Low Lactate
Bacterial colonization patterns
Beautiful GIFs coming soon .... MUST REALLY SOON
- Homogeneous distribution in a Single spherical shell layer in tumour
- Homogeneous distribution throughout Healthy tissue
- Heterogeneous (Partitioned) distribution in a Single spherical shell layer in tumour
- Heterogeneous (Partitioned) distribution in Double spherical shell layer in tumour
Tools used
- COMSOL Multiphysics 5.2a by COMSOL Inc.
- MATLAB R2016b by MathWorks