Regular division closed lattice-ordered rings

2018 ◽  
Vol 42 (10) ◽  
pp. 1353-1355 ◽  
Author(s):  
Jingjing Ma
2018 ◽  
Vol 42 (8) ◽  
pp. 1019-1029 ◽  
Author(s):  
Jingjing Ma ◽  
Jessica Smith

Order ◽  
2016 ◽  
Vol 34 (2) ◽  
pp. 363-368 ◽  
Author(s):  
Jingjing Ma

1994 ◽  
Vol 127 (6) ◽  
pp. 1965-1971 ◽  
Author(s):  
M Kikkawa ◽  
T Ishikawa ◽  
T Nakata ◽  
T Wakabayashi ◽  
N Hirokawa

Microtubules are constructed from alpha- and beta-tubulin heterodimers that are arranged into protofilaments. Most commonly there are 13 or 14 protofilaments. A series of structural investigations using both electron microscopy and x-ray diffraction have indicated that there are two potential lattices (A and B) in which the tubulin subunits can be arranged. Electron microscopy has shown that kinesin heads, which bind only to beta-tubulin, follow a helical path with a 12-nm pitch in which subunits repeat every 8-nm axially, implying a primarily B-type lattice. However, these helical symmetry parameters are not consistent with a closed lattice and imply that there must be a discontinuity or "seam" along the microtubule. We have used quick-freeze deep-etch electron microscopy to obtain the first direct evidence for the presence of this seam in microtubules formed either in vivo or in vitro. In addition to a conventional single seam, we have also rarely found microtubules in which there is more than one seam. Overall our data indicates that microtubules have a predominantly B lattice, but that A lattice bonds between tubulin subunits are found at the seam. The cytoplasmic microtubules in mouse nerve cells also have predominantly B lattice structure and A lattice bonds at the seam. These observations have important implications for the interaction of microtubules with MAPs and with motor proteins, and for example, suggest that kinesin motors may follow a single protofilament track.


2017 ◽  
Vol 78 (4) ◽  
pp. 515-532 ◽  
Author(s):  
Jingjing Ma ◽  
Warren Wm. McGovern

2019 ◽  
Author(s):  
Taylor A. Reid ◽  
Courtney Coombes ◽  
Soumya Mukherjee ◽  
Rebecca R. Goldblum ◽  
Kyle White ◽  
...  

AbstractThe microtubule binding protein EB1 specifically targets the growing ends of microtubules in cells, where EB1 facilitates the interactions of cellular proteins with microtubule plus-ends. Microtubule end targeting of EB1 has been attributed to high affinity binding of EB1 to GTP-tubulin that is present at growing microtubule ends. However, our 3D single-molecule diffusion simulations predicted a ∼6000% increase in EB1 arrivals to open, tapered microtubule tip structures relative to closed lattice conformations. Using quantitative fluorescence, single-molecule, and electron microscopy experiments, we found that the binding of EB1 onto opened, structurally disrupted microtubules was dramatically increased relative to closed, intact microtubules, regardless of hydrolysis state. Correspondingly, in cells, the conversion of growing microtubule ends from a tapered into a blunt configuration resulted in reduced EB1 targeting. Together, our results suggest that microtubule structural recognition, based on a fundamental diffusion-limited binding model, facilitates the tip tracking of EB1 at growing microtubule ends.


2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Koichi Narahara

A one-dimensional lattice in tunnel-diode (TD) oscillators supports self-sustained solitary pulses resulting from the balance between gain and attenuation. By applying the reduction theory to the device’s model equation, it is found that two relatively distant pulses moving in the lattice are mutually affected by a repulsive interaction. This property can be efficiently utilized in equalizing pulse positions to achieve jitter elimination. In particular, when two pulses rotate in a small, closed lattice, they separate evenly at the asymptotic limit. As a result, the lattice loop can provide an efficient platform to obtain low-phase-noise multiphase oscillatory signals. In this work, the interaction between two self-sustained pulses in a TD-oscillator lattice is examined, and the properties of interpulse interaction are validated by conducting several measurements using a test breadboarded lattice.


2000 ◽  
Vol 15 (02) ◽  
pp. 133-143 ◽  
Author(s):  
KATRINA HIBBERD ◽  
ITZHAK RODITI ◽  
JON LINKS ◽  
ANGELA FOERSTER

The nested algebraic Bethe Ansatz is presented for the anisotropic supersymmetric U> model maintaining quantum supersymmetry. The Bethe Ansatz equations of the model are obtained on a one-dimensional closed lattice and an expression for the energy is given.


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