Ionic wave propagation and collision in an excitable circuit model of microtubules

Chaos
P Guemkam GhomsiF M Moukam Kakmeni

Abstract

In this paper, we report the propensity to excitability of the internal structure of cellular microtubules, modelled as a relatively large one-dimensional spatial array of electrical units with nonlinear resistive features. We propose a model mimicking the dynamics of a large set of such intracellular dynamical entities as an excitable medium. We show that the behavior of such lattices can be described by a complex Ginzburg-Landau equation, which admits several wave solutions, including the plane waves paradigm. A stability analysis of the plane waves solutions of our dynamical system is conducted both analytically and numerically. It is observed that perturbed plane waves will always evolve toward promoting the generation of localized periodic waves trains. These modes include both stationary and travelling spatial excitations. They encompass, on one hand, localized structures such as solitary waves embracing bright solitons, dark solitons, and bisolitonic impulses with head-on collisions phenomena, and on the other hand, the appearance of both spatially homogeneous and spatially inhomogeneous stationary patterns. This ability exhibited by our array of proteinic elements to display several states of excitability exposes their ...Continue Reading

References

Mar 15, 1977·Experientia·D Mitolo-Chieppa
Jan 1, 1985·The Journal of Membrane Biology·S Terakawa, T Nakayama
May 1, 1970·The Biochemical Journal·K A JamesL Austin
May 1, 1995·Neurobiology of Aging·H Braak, E Braak
Sep 16, 2000·Physical Review Letters·L BruschA Torcini
Mar 26, 2004·Biophysical Journal·J A TuszyńskiH F Cantiello
Sep 27, 2005·European Biophysics Journal : EBJ·Avner PrielNancy J Woolf
Feb 28, 2006·Biophysical Journal·Itsushi Minoura, Etsuko Muto
Mar 5, 2009·European Biophysics Journal : EBJ·M V SatarićJack Adam Tuszynski
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alain M Dikandé, Ga-Akeku Bartholomew
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Holly FreedmanJack A Tuszynski
May 24, 2011·The European Physical Journal. E, Soft Matter·D L SekulićM V Satarić
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F M Moukam KakmeniE M Yamakou
Jun 3, 2016·Chaos·Frank T NdjomatchouaHenri E Z Tonnang
Aug 1, 2016·Chaos·Dalibor L SekulicMiljko V Sataric

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Alidou Mohamadou, Timoléon Crépin Kofané
Proceedings of the National Academy of Sciences of the United States of America
S Bochner
© 2022 Meta ULC. All rights reserved