Solitonic Ionic Currents Along Microtubules

Helicoidal Peyrard–Bishop Model of DNA Dynamics*

“…The KdV equation does not have an application in the theory of DNA but can be used to describe dynamics of microtubule [10].…”

Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the G′/G2Sirisubtawee1, Koonprasert2 2018Advances in Mathematical Physics430190View full textAdd to dashboardCite

“…One of the important models in such fields is the nonlinear transmission line model for nanoionic currents along microtubules (MTs) segmented into identical elementary rings (ERs). The model is playing an important role in cellular signalling and the elaborated details of derivation of the equation can be found in [46,47]. The equation of nanoionic currents along MTs is described as follows [47]:…”

Ionic Pulses along Cytoskeletal Protophilaments

“…Our theoretical modeling of these currents was developed in three stages [11,12,13,14]. The first stage [11,12] is similar to that one applied for AF s [8] in the way that the roles of nano-pores (N P s ) existing between protofilaments of M T were ignored.…”

“…Second version [13] is more complete, where the roles of N P s are modeled in the context of an approach developed by Siwy et al [16]. This model involves the nonlinear negative incremental resistance of N P s in parallel with nonlinear capacitance of EEU s caused by mentioned property of T T s .…”

“…Theoretical considerations of ionic currents along M T s were performed by J Tuszynski et al [10] and in many stages by M Satarić et al [11,12,13,14].…”