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What is a reactor?


The CCMV capsid was considered as a continuous stirred-tank reactor with accumulation of the product.

For an enzymatic reaction of the type:

E + S \leftrightarrow ES \rightarrow E^0 + P

with a reaction rate of:


We established the following in our system:

  • Uniform distribution throughout the reactor
  • K-1 >> K1 and K2
  • One enzyme per reactor/VLP
  • Tortuosity approaches zero during diffusion

Mass balance was presented as such:



Inflow= F0

Outflow= F0(1-XS)

Disappearance = V(-rS

Accumulation = \tfrac{d[P]}{dt}

F0 = F0(1-XS) - V(-rS) + \tfrac{d[P]}{dt}

The intake and outflow flux were determined by diffusion , considering a spherical container.


For the simplification of the diffusion phenomenon we considered:

  • Constant temperature
  • Constant pressure
  • Species B stays in a stationary state (it does not diffuse in A)
  • The container (VLP) has a spherical shape

A mass balance, taking into account a spherical envelope leads to:


where NAr represents molar flux. For NBr we obtain:


At a constant temperature the product (cDAB) is equally constant and xA=1-xB, the equation can be integrated into the following expression:

F_A=4\pi r_1^2N_{Ar}|_{r=r1}=
\frac{4\pi cD_{AB}}{1/r_1=1/r_2}

where x are the fractions, c is the concentration and r are the respective radii.

This equation defines the nanoreactor inflow; a similar analysis yields the reactor outflow.

The ionic silver diffusion coefficient in function to the solution is described by Nerst's equation (1888)1:



F = Faraday's constant DAB°=Diffusion coefficient at infinite dilution λ+°=Cationic conductivity at infinite dilution λ-°=Anionic conductivity at infinite dilution Z+=Cation valence Z-=Anionic valence T=Absolute temperature

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