

We have considered the realistic mechanism of rapid Ca2+ (calcium ion) buffering within the wave of calcium ions progressing along the flagellar axoneme. This buffering is an essential part of the Ca2+ signaling pathway aimed at controlling the bending dynamics of flagella. It is primarily achieved by the mobile region of calmodulin molecules and by stationary calaxin, as well as by the part of calmodulin bound to calcium/calmodulin-dependent kinase II and kinase C. We derived and elaborated a model of Ca2+ diffusion within a signaling wave in the presence of these molecules which rapidly buffer Ca2+. This approach has led to a single nonlinear transport equation for the Ca2+ wave that contains the effects brought about by both as necessary buffers for signaling. The presence of mobile buffer calmodulin gives rise to a transport equation that is not strictly diffusive but also exhibits a sink-like effect. We solved straightforwardly the final transport equation in an analytical framework and obtained the implied function of calcium concentration. The effective diffusion coefficient depends on local Ca2+ concentration. It is plausible that these buffers' presence can impact Ca2+ wave speed and shape, which are essential for decoding Ca2+ signaling in flagella. We present the solution of the transport equation for a few specified cases with physiologically reasonable sets of parameters involved. © 2023, European Biophysical Societies' Association.
| EMTREE drug terms: | buffercalcium ioncalmodulinpolyelectrolytecalciumcalmodulin |
|---|---|
| EMTREE medical terms: | Articleaxonemecalcium cell levelcalcium signalingcalcium transportdiffusiondiffusion coefficientflagellumhumanmicrotubulemodelnonlinear systemcalcium signalingflagellummetabolismphysiologysignal transduction |
| MeSH: | CalciumCalcium SignalingCalmodulinFlagellaSignal Transduction |
calcium ion, 14127-61-8; calcium, 7440-70-2, 14092-94-5;
Calcium; Calmodulin
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| Serbian Academy of Sciences and Arts | Ф134 | SASA |
The authors appreciate the financial support from the Department of Fundamental Sciences at the Faculty of Technical Sciences at the University of Novi Sad for the project “APPLICATION OF FUNDAMENTAL DISCIPLINES IN TECHNICAL AND INFORMATION SCIENCES”. M. Satarić is primarily supported by funding from the Serbian Academy of Sciences and Arts, personal grant No. Ф134.
Nemeš, T.; Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia;
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