2013
DOI: 10.1016/j.bpj.2013.09.011
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Enzymatically Driven Transport: A Kinetic Theory for Nuclear Export

Abstract: Nuclear import and export are often considered inverse processes whereby transport receptors ferry protein cargo through the nuclear pore. In contrast to import, where the reversible binding of receptor to nuclear RanGTP leads to a balanced bidirectional exchange, termination of export by physiologically irreversible hydrolysis of the Ran-bound GTP leads to unidirectional transport. We present a concise mathematical model that predicts protein distributions and kinetic rates for receptor-mediated nuclear expor… Show more

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Cited by 12 publications
(18 citation statements)
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References 21 publications
(26 reference statements)
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“…The final steady state accumulation and the late kinetics of the capsid import are affected by a number of factors that are still incompletely understood – such as the competition between Ran and NTRs for the cargo, the back leakage of the cargo into the cytoplasm and potential clogging of the pores by the capsids ( Kim and Elbaum, 2013a ; Kim and Elbaum, 2013b ). For this reason, we focus our quantitative analysis on the initial flux J (slope of the kinetic curve at the initial time point).…”
Section: Resultsmentioning
confidence: 99%
“…The final steady state accumulation and the late kinetics of the capsid import are affected by a number of factors that are still incompletely understood – such as the competition between Ran and NTRs for the cargo, the back leakage of the cargo into the cytoplasm and potential clogging of the pores by the capsids ( Kim and Elbaum, 2013a ; Kim and Elbaum, 2013b ). For this reason, we focus our quantitative analysis on the initial flux J (slope of the kinetic curve at the initial time point).…”
Section: Resultsmentioning
confidence: 99%
“…From the expression for the dimensional flux J u in Eq. 6 and the analogous expression for J v , we get the four equations J 0 u ¼ 0; (28)…”
Section: Appendix B: Steady-state Distribution Of Tether Bindingmentioning
confidence: 99%
“…1 a summarizes the nuclear import process. Interesting kinetic models based on these steps have been developed (27)(28)(29), which treat the nuclear pore as an enzyme facilitating the Ran-driven transition of molecules between cytoplasmic and nuclear states.…”
Section: Introductionmentioning
confidence: 99%
“…We suggest that this may limit the capacity of the nucleus to concentrate histones. The process of nuclear transport has been investigated in great detail (Kim and Elbaum, 2013a;2013b;Kopito and Elbaum, 2007; 2009) and we can assume that the nuclear envelope can create a certain fold difference in concentrations between the nucleus and cytoplasm. During the initial stages of zebrafish development, the nucleus occupies only a very small fraction of the cell volume (1.1% at 128-cell stage, Figure 4-figure supplement 1A).…”
Section: Changes In Nuclear Histone Concentration During Genome Activmentioning
confidence: 99%