A minimal mathematical model describing mass transport in the connecting cilium (CC) of a photoreceptor cell in response to a suddenly increased protein concentration at the base of the CC is developed. Dimensionless governing equations and dimensionless parameters are identified. Analytical solutions are obtained for concentrations of free (diffusion-driven) and motor-driven proteins. The obtained solutions make it possible to predict mass transfer in the CC as a function of two dimensionless transport parameters involved in the model: the diffusivity of free soluble proteins and the transition rate from the diffusion-driven to the motor-driven state. Sensitivities of the obtained solutions to these two parameters are discussed.
Modeling of Transient Transport of Soluble Proteins in the Connecting Cilium of a Photoreceptor Cell
Manuscript received February 29, 2012; final manuscript received August 13, 2012; published online January 18, 2013. Assoc. Editor: Debjyoti Banerjee.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Kuznetsov, A. V. (January 18, 2013). "Modeling of Transient Transport of Soluble Proteins in the Connecting Cilium of a Photoreceptor Cell." ASME. J. Nanotechnol. Eng. Med. August 2012; 3(3): 031001. https://doi.org/10.1115/1.4007567
Download citation file:
- Ris (Zotero)
- Reference Manager