The surface of a solid sphere is covered by a monolayer of receptors for a ligand. When the ligands diffuse to the surface of the sphere, they are captured instantaneously by the receptors. The ligand diffusion coefficient is 4.8*10-9m2/s. Assume the bulk concentration far away from the sphere is constant of 1.2nM and the sphere radius is 2.8 μm. (a) Find the ligand concentration C at the location of r=2.7 μm at steady state, where r is the distance to the surface of the sphere. Please enter the numerical value with a unit of nM.

Givendiffusion coefficient=4.8×10-9m2/sSphere is constant of=1.2nMsphere radius=2.8μmConcentration…

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The surface of a solid sphere is covered by a monolayer of receptors for a ligand. When the ligands diffuse to the surface of the sphere, they are captured instantaneously by the receptors. The ligand diffusion coefficient is 4.8*10^-9m²/s. Assume the bulk concentration far away from the sphere is constant of 1.2nM and the sphere radius is 2.8 μm. (a) Find the ligand concentration C at the location of r=2.7 μm at steady state, where r is the distance to the surface of the sphere. Please enter the numerical value with a unit of nM.

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