Stability Analysis of Jacobi Elliptic Solutions of Microtubule

Fendji, Marie Danielle; Effa, Joseph Yves; Tiofack, C. G. L.; Kavitha, L.; Mohamadou, Alidou; Essimbi, B Z

doi:10.1166/jctn.2014.3639

Cited by 2 publications

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“…Other application prospects to apply the designed target recognition system into more complex inference systems were described for example in the Refs. [2,15,16]. The design of the neural network learning still to be an open question, as is studied in future work.…”

Section: Discussionmentioning

confidence: 98%

A Fuzzy Inference Method and Its Application

Wu¹,

Wang²,

Shi³

2015

j comput theor nanosci

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For giving suitable weights to the interval-valued fuzzy production rule, this paper introduces a fuzzy inference method, which is a given weight method of ordered weighted averaging operator based on combinatorial number. In the process of using this method, a calculation method of interval-valued fuzzy matching function value and comprehensive similarity measure based on weighted averaging operator are introduced for calculating the matching degree of the input facts and antecedent portion of the reasoning rules. Moreover, this paper gives an example analysis, and discusses the application of the fuzzy inference method on fingerprint recognition. The example and the application both illustrate the feasibility and effectiveness of the given interval-valued fuzzy inference method.

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Section: Discussionmentioning

confidence: 98%

A Fuzzy Inference Method and Its Application

Wu¹,

Wang²,

Shi³

2015

j comput theor nanosci

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“…On the other hand, in various studies regarding the nonlinear dynamics of a PF associated with nearest neighbors interactions, the generalized mathematical model used for the longitudinal displacement of MTs namely the u-model, first proposed by Satarić et al 11 and later on used in various works 10,[22][23][24]31 , is mainly associated with the longitudinal displacement of a dimer at a given position n, u n , the kinetic energy of the dimer, an harmonic nearestneighbor interaction potential, a site potential composed with a double-well potential of φ 4 -type, a linear electric potential, and a viscous force 10 . The given equation takes into account substantially the effect of dispersion, viscous dissipation and nonlinearity to study the energy propagation in the interesting assembly and disassembly behavior of MTs.…”

Section: Introductionmentioning

confidence: 99%

Discrete and solitons-like modes as nonlinear dynamics in microtubules based on an improved longitudinal u -model

Tchouobiap

Issokolo

Nzoupe

2023

Preprint

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In the present work, we focus on the longitudinal model of microtubules (MTs) proposed by Satar i c~̵́ et al. [Phy. Rev. E 48, 89 (1993)], that consider cell MTs to have ferroelectric properties, i.e., a displacive ferro-distortive system of dimers and usually referred to as u-model of MTs. It has been shown that during the hydrolysis of GTP into GDP, the energy released is transferred along the MTs trough kink-like solitons. Substantially, we propose to theoretically investigate the dynamic of MTs by intrinsically taking into account the effect of the oriented molecules of polarized cytoplasmic water and enzymes surrounding the MT. In this regards, we introduce a cubic nonlinear term in the electric potential characterizing the polyelectrolyte features of MTs and show that in addition to the kink and antikink solitons, asymmetrical bright and dark solitons, and discrete modes can also propagate along the MTs. Theses results are supported by numerical analysis. The investigation shows us that the nonlinear dynamics of MTs is strongly impacted by the intrinsic electric field, the polyelectrolyte and the viscosity effects. Moreover, new solitons and discrete solitary modes may help to find new phenomena occurring in the microtubulin systems.

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Stability Analysis of Jacobi Elliptic Solutions of Microtubule

Cited by 2 publications

References 0 publications

A Fuzzy Inference Method and Its Application

A Fuzzy Inference Method and Its Application

Discrete and solitons-like modes as nonlinear dynamics in microtubules based on an improved longitudinal u -model

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