A Dynamic Model of Cytosolic Calcium Concentration Oscillations in Mast Cells

Mingzhu Sun, Yingchen Li and Wei Yao
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Mingzhu Sun: Shanghai Key Laboratory of Acupuncture Mechanism and Acupoint Function, Department of Aeronautics and Astronautics, Fudan University, 220 Handan Road, Shanghai 200433, China
Yingchen Li: Shanghai Key Laboratory of Acupuncture Mechanism and Acupoint Function, Department of Aeronautics and Astronautics, Fudan University, 220 Handan Road, Shanghai 200433, China
Wei Yao: Shanghai Key Laboratory of Acupuncture Mechanism and Acupoint Function, Department of Aeronautics and Astronautics, Fudan University, 220 Handan Road, Shanghai 200433, China

Mathematics, 2021, vol. 9, issue 18, 1-19

Abstract: In this paper, a dynamic model of cytosolic calcium concentration ( [ Ca 2 + ] Cyt ) oscillations is established for mast cells (MCs). This model includes the cytoplasm (Cyt), endoplasmic reticulum (ER), mitochondria (Mt), and functional region (μd), formed by the ER and Mt, also with Ca 2 + channels in these cellular compartments. By this model, we calculate [ Ca 2 + ] Cyt oscillations that are driven by distinct mechanisms at varying k deg (degradation coefficient of inositol 1,4,5-trisphosphate, IP 3 and production coefficient of IP 3 ), as well as at different distances between the ER and Mt (ER–Mt distance). The model predicts that (i) Mt and μd compartments can reduce the amplitude of [ Ca 2 + ] Cyt oscillations, and cause the ER to release less Ca 2 + during oscillations; (ii) with increasing cytosolic IP 3 concentration ( [ IP 3 ] Cyt ), the amplitude of oscillations increases (from 0.1 μM to several μM), but the frequency decreases; (iii) the frequency of [ Ca 2 + ] Cyt oscillations decreases as the ER–Mt distance increases. What is more, when the ER–Mt distance is greater than 65 nm, the μd compartment has less effect on [ Ca 2 + ] Cyt oscillations. These results suggest that Mt, μd, and IP 3 can all affect the amplitude and frequency of [ Ca 2 + ] Cyt oscillations, but the mechanism is different. The model provides a comprehensive mechanism for predicting cytosolic Ca 2 + concentration oscillations in mast cells, and a theoretical basis for calcium oscillations observed in mast cells, so as to better understand the regulation mechanism of calcium signaling in mast cells.

Keywords: mathematical biology in general; mathematical modeling or simulation for problems pertaining to biology; mast cell; calcium oscillations; functional region formed by the ER and Mt; ER–Mt distance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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