fields_lec6

Fields_lec6 - Key Concepts for this section 1 Lorentz force law Field Maxwells equation 2 Ion Transport Nernst-Planck equation

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1: Lorentz force law, Field, Maxwell’s equation 2: Ion Transport, Nernst-Planck equation 3: (Quasi)electrostatics, potential function, 4: Laplace’s equation, Uniqueness 5: Debye layer, electroneutrality Goals of Part II: (1) Understand when and why electromagnetic (E and B) interaction is relevant (or not relevant) in biological systems. (2) Be able to analyze quasistatic electric fields in 2D and 3D. Key Concepts for this section
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Charge Relaxation in electrolyte + + + + + + + + + ++ + + + + + + + + + + + Fixed charges + + - - - - -- - - ρ =0 < ρ >=0 within the medium < ρ >=0 within the medium τ ~10 -9 sec τ ~10 -9 sec
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• (Quasi) Electroneutrality Approximation – It is an approximation. • Valid only after the relaxation time constant τ , and outside of the Debye length ( κ -1 , to be discussed) – Not valid when there is a discontinuity • Valid only within a single medium ( σ =constant) • Boundary of the medium could carry (surface) free charge – No inter-charge interaction in liquid media
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Electroneutrality Protein A + + - + + + Protein B + - - - - - ~ Debye length ( κ -1 ) Buffer counterions
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0 () x x e κ
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This note was uploaded on 11/11/2011 for the course BIO 2.797j taught by Professor Matthewlang during the Fall '06 term at MIT.

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Fields_lec6 - Key Concepts for this section 1 Lorentz force law Field Maxwells equation 2 Ion Transport Nernst-Planck equation

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