Higher Teachers' Training College of Maroua, University of Maroua, P.O. Box. 46, Cameroon.
Institut za nuklearne nauke Vinča, Univerzitet u Beogradu, 11001, Beograd, Serbia.
Biosystems. 2020 Dec;198:104230. doi: 10.1016/j.biosystems.2020.104230. Epub 2020 Aug 22.
A new nonlinear phenomenon has been studied theoretically on one of the main cytoskeletal element of eukaryotic cells, namely chaos in microtubules vibrations. The general model of microtubules is used to draw phase portraits and Lyapunov spectra. The examination of numerical results reveals that the velocity of the chaotic wave could be the physical parameter that governs chaos. The energy released after the hydrolysation of guanosine triphosphate is converted to active turbulence leading to chaos. The high values of the Lyapunov exponents give hints that there are strong dissipations yielding in the lessening of the velocity of chaotic wave propagation in the microtubules. Moreover, the role of chaos in information processing has been established in microtubules. The energy coming from hydrolysis of guanosine triphosphate stimulates the tubulin leading it to probe its environment and collect information. The net sum of Lyapunov exponents is found to be positive in this stage of the process. Also, the collected information is compressed with a negative sum of Lyapunov exponents. Eventually, the compressibility rate has been estimated to be η=67.2%, and 1.11 bit is lost.
一种新的非线性现象已经在真核细胞的主要细胞骨架元素之一——微管振动的混沌中进行了理论研究。使用微管的一般模型来绘制相图和李雅普诺夫谱。数值结果的检验表明，混沌波的速度可能是控制混沌的物理参数。三磷酸鸟苷水解释放的能量转化为活性湍流，导致混沌。高的李雅普诺夫指数值表明，存在强烈的耗散，导致微管中混沌波传播速度的降低。此外，混沌在微管中的信息处理中也发挥了作用。三磷酸鸟苷水解产生的能量刺激微管蛋白，使其探测周围环境并收集信息。在这个过程的这个阶段，发现李雅普诺夫指数的总和是正的。此外，所收集的信息以负的李雅普诺夫指数总和进行压缩。最终，估计压缩率为η=67.2%，损失 1.11 比特。
