Jinn-Liang LiuNational Hsinchu University of Education
May 31, 2014
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Poisson-Nernst-Planck-Fermi Theory
for
Biological Ion Channels
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2nd TWSIAM Annual MeetingNational Chiao Tung University
P. Agre & R. MacKinnonNobel Prize in Chemistry 2003(Crystal Structures)
E. Neher & B. SakmannNobel Prize in Physiology or Medicine 1991(Current Measurement)
A. L. Hodgkin & A. Huxley Nobel Prize in Physiology or Medicine 1963(Action Potential)
HypothesizedIon Channel
ConfirmedIon Channel
SawIon Channel
Ion Channel(Physiology, Medicine, Pharmaceutical)
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Unified Continuum Theory?Flow: From Meter to Angstrom
Life’s Processes: Exocytosis, Contraction, Metabolism,Transcription, Fertilization, etc.
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Poisson-Nernst*-Planck*-Fermi*(Steric & Correlation)
Steric & Correlation in Poisson-Boltzmann: 100-Year Old Problems since Gouy (1910) & Chapman (1913) Historical Developments: Bjerrum (1918), Debye*-Huckel (1923), Stern* (1924), Onsager * (1936), Kirkwood (1939), Dutta-Bagchi (1950), Grahame (1950), Eigen*-Wicke (1954), Borukhov-Andelman-Orland (1997),Santangelo (2006), Eisenberg-Hyon-Liu (2010), Bazant-Storey-Kornyshev (2011), Wei-Zheng-Chen-Xia (2012)
* Nobel Laureates
Application: Multiscale flow in Bio, Chem, Phys, Nano SystemsChallenge: Accuracy (vs Monte Carlo, Mol Dynam, Quant)
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Steric EffectsSteric effects arise from the fact that each atom within a molecule occupies a certain amount of space. (Wiki)
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different sizes
Free Energy of Electrolyte Solutions
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Fermi Distribution(Classical: Excluded Volume)
Steric Potential
Liu-Eisenberg (2013 JPhyChem)
different valences
different sizesSaturation Condition
New
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L-Type Ca Channel Model 1
Boda, Valiskó, Henderson, Eisenberg, Gillespie, Nonner (JGenPhysio 2009)
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Experiments: Almers, McCleskey, Palade (JPhysio 1984)SingleChannelCurrentFemto Ampere (fA)
108–fold M Variation in [Ca2+] =
PNPF vs Ca Channel Experiment
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PNPF vs NCX ExperimentJ. Liao, ..., Y. Jiang (Science 2012) Crystal Structure of Sodium /Calcium
Exchanger (NCX)
PNPF = 2.3 ÅExp = 2.4 Å Na Channel
Ca Channel