Diffusion of Plasmid DNA into the Capsule Model the Concentration Profile of Plasmid DNA - Engineering Assignment Help

Assignment Task:

Task:

• Model the concentration profile of plasmid DNA within the capsule (Fig. 1). Assume steady-state conditions (dc/dt= 0), symmetric diffusion profiles, and 100% plasmid DNA concentration outside of the capsule. Generate Concentration vs. “distance from the inlet” plots for each one of the plasmids you are trying to lead into the capsule in Aim 1 (hint: diffusion will change based on the size of the plasmid). For each case, generate one profile/plot for pure diffusion, and another one for diffusion + convection. For the convection case, you can assume velocity values driven by pump (e.g., vacuum or infusion pump helping you move liquid across the capsule.
• Considering the transfection efficiency is highly dependent on adequate surface contact between the cell and the nanopore, and the magnitude of the electric field across the system. Model the propagation of the electric field across:
• A single capsule (geometry as shown in figure 1) that is surrounded by a varying number of cells.
• Multiple capsules (geometry as shown in figure 1) in close proximity, and surrounded by a varying number of cells.
• Use this model to determine an optimal nanopore distribution (number of nanopores, distance between them, etc.) across the surface of the capsule to optimize the electric field.

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