Abstract
CatSpers are calcium (Ca2+) channels that are located along the principal piece of mammalian sperm flagella and are directly linked to sperm motility and hyperactivation. It has been observed that Ca2+ entry through CatSper channels triggers a tail to head Ca2+ propagation in mouse sperm, as well as a sustained increase of Ca2+ in the head. Here, we develop a mathematical model to investigate this propagation and sustained increase in the head. A 1-d reaction-diffusion model tracking intracellular Ca2+ with flux terms for the CatSper channels, a leak flux, and plasma membrane Ca2+ clearance mechanism is studied. Results of this simple model exhibit tail to head Ca2+ propagation, but no sustained increase in the head. Therefore, in this model, a simple plasma membrane pump-leak system with diffusion in the cytosol cannot account for these experimentally observed results. It has been proposed that Ca2+ influx from the CatSper channels induce additional Ca2+ release from an internal store. We test this hypothesis by examining the possible role of Ca2+ release from the redundant nuclear envelope (RNE), an inositol 1,4,5-trisphosphate (IP3) gated Ca2+ store in the neck. The simple model is extended to include an equation for IP3 synthesis, degradation, and diffusion, as well as flux terms for Ca2+ in the RNE. When IP3 and the RNE are accounted for, the results of the model exhibit a tail to head Ca2+ propagation as well as a sustained increase of Ca2+ in the head.
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Abbreviations
- IP3 :
-
inositol 1,4,5-trisphosphate
- RNE:
-
redundant nuclear envelope
- IP3R:
-
inositol 1,4,5-trisphosphate receptor
- Ca2+ :
-
Calcium
- [Ca2+]:
-
Calcium concentration
- cAMP:
-
cyclic adenosine monophosphate
- PMCA:
-
plasma membrane Ca2+-ATPase
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Olson, S.D., Suarez, S.S. & Fauci, L.J. A Model of CatSper Channel Mediated Calcium Dynamics in Mammalian Spermatozoa. Bull. Math. Biol. 72, 1925–1946 (2010). https://doi.org/10.1007/s11538-010-9516-5
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DOI: https://doi.org/10.1007/s11538-010-9516-5