@article{fdi:010067003,
  title = {{W}aves transmission and amplification in an electrical model of microtubules},
  author = {{N}djomatchoua, {F}. {T}. and {T}chawoua, {C}. and {K}akmeni, {F}. {M}. {M}. and {L}e {R}ü, {B}runo and {T}onnang, {H}. {E}. {Z}.},
  editor = {},
  language = {{ENG}},
  abstract = {{I}nspired by standard electrophysiological models of microtubules, a discrete nonlinear equation for ionic wave propagation that incorporates a negative nonlinear resistance is presented. {T}he conditions for wave propagation in forbidden band gap are analyzed without and with dissipation. {T}he nonlinear response manifold method is used to determine the supratransmission threshold of the case of study without dissipation. {T}his threshold is found to be similar to the value obtained by analytical methods. {W}ith the dissipation, the monitoring of the accumulated energy is used to estimate the infratransmission threshold. {I}t appears that the value of the supratransmission threshold can be lower than the value of the infratransmission threshold. {T}he system is found to amplify significantly the amplitude of the input signal, thus confirming known experimental results. {N}evertheless, a proper choice of the parameter of the nonlinear resistance is required for further validation of our results. {A} possible biological implication of the obtained results is presented. {P}ublished by {AIP} {P}ublishing.},
  keywords = {},
  booktitle = {},
  journal = {{C}haos},
  volume = {26},
  numero = {5},
  pages = {art. 053111 [9 p.]},
  ISSN = {1054-1500},
  year = {2016},
  DOI = {10.1063/1.4952573},
  URL = {https://www.documentation.ird.fr/hor/fdi:010067003},
}