Supersymmetric methods in the traveling variable: inside neurons and at the brain scale

@inproceedings{Rosu2007SupersymmetricMI,
  title={Supersymmetric methods in the traveling variable: inside neurons and at the brain scale},
  author={Haret C. Rosu and Octavio Cornejo-P{\'e}rez and J. E. P{\'e}rez-Terrazas},
  year={2007}
}
We apply the mathematical technique of factorization of differential operators to two different problems. First we review our results related to the supersymmetry of the Montroll kinks moving onto the microtubule walls as well as mentioning the sine-Gordon model for the microtubule nonlinear excitations. Second, we find analytic expressions for a class of one-parameter solutions of a sort of diffusion equation of Bessel type that is obtained by supersymmetry from the homogeneous form of a… Expand
1 Citations

Figures from this paper

Stationary oscillations in a damped wave equation from isospectral Bessel functions
Usando las companeras isoespectrales de las funciones de Bessel obtenidas por Reyes et al. [1], encontramos, por un lado, que estas funciones muestran un comportamiento atipico de SUSY, mientras que,Expand

References

SHOWING 1-10 OF 56 REFERENCES
Statistical Mechanics:
AbstractPROF. R. H. FOWLER'S monumental work on statistical mechanics has, in this the second edition, in his own modest words, been rearranged and brought more up to date. But the new volume is muchExpand
Nature
  • R. Rosenfeld
  • Medicine
  • Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
TLDR
I am writing with a simple plea to balance the voluminous articles about treatment in your journal with a modicum of information about nature and caring effects to rekindle the perception of physicians as healers, not only treaters, who relish the gifts of nature, and foster the humanistic aspect of medicine that has thrived for millennia. Expand
IL-13受体α2降低血吸虫病肉芽肿的炎症反应并延长宿主存活时间[英]/Mentink-Kane MM,Cheever AW,Thompson RW,et al//Proc Natl Acad Sci U S A
入侵病原体与宿主之间呈动态平衡,以维持病原体成功地寄生在宿主体内而不致宿主死亡,这是许多寄生虫感染的一个重要特征。包括曼氏血吸虫在内的许多蠕虫感染中,持续的炎症反应比病原体本身对宿主的危害更大,降低宿主的免疫反应具有重要意义。曼氏血吸虫感染后,宿主活化CD4^+Th2细胞,分泌IL-4、IL-5和IL-13。最近研究表明IL-13是肝组织纤维化的重要调节因子。
Phys
  • Rev. E 57, 2850
  • 1998
Phys
  • Rev. A 51, 4264
  • 1995
Human Brain Mapping 23 , 53 ( 2004 ) ; H . Wu and P . A . Robinson
  • 2007
Phys. Rev. E
  • Phys. Rev. E
  • 2007
SIAM J
  • Applied Dynamical Systems 6, 263
  • 2007
A 39
  • 11441
  • 2006
J. Biol. Phys
  • J. Biol. Phys
  • 2006
...
1
2
3
4
5
...