A mathematical model of Ca²⁺ dynamics in rat mesenteric smooth muscle cell: Agonist and NO stimulation

A mathematical model of calcium dynamics in vascular smooth muscle cell (SMC) was developed based on data mostly from rat mesenteric arterioles. The model focuses on (a) the plasma membrane electrophysiology; (b) Ca²⁺ uptake and release from the sarcoplasmic reticulum (SR); (c) cytosolic balance of Ca²⁺, Na⁺, K⁺, and Cl^- ions; and (d) IP₃ and cGMP formation in response to norepinephrine (NE) and nitric oxide (NO) stimulation. Stimulation with NE induced membrane depolarization and an intracellular Ca²⁺ ([Ca²⁺]_i) transient followed by a plateau. The plateau concentrations were mostly determined by the activation of voltage-operated Ca²⁺ channels. NE causes a greater increase in [Ca²⁺]_i than stimulation with KCl to equivalent depolarization. Model simulations suggest that the effect of [Na⁺]_i accumulation on the Na⁺/Ca²⁺ exchanger (NCX) can potentially account for this difference. Elevation of [Ca²⁺]_i within a concentration window (150-300 nM) by NE or KCl initiated [Ca²⁺]_i oscillations with a concentration-dependent period. The oscillations were generated by the nonlinear dynamics of Ca²⁺ release and refilling in the SR. NO repolarized the NE-stimulated SMC and restored low [Ca²⁺]_i mainly through its effect on Ca²⁺-activated K⁺ channels. Under certain conditions, Na⁺-K⁺-ATPase inhibition can result in the elevation of [Na⁺]_i and the reversal of NCX, increasing resting cytosolic and SR Ca²⁺ content, as well as reactivity to NE. Blockade of the NCX's reverse mode could eliminate these effects. We conclude that the integration of the selected cellular components yields a mathematical model that reproduces, satisfactorily, some of the established features of SMC physiology. Simulations suggest a potential role of intracellular Na⁺ in modulating Ca²⁺ dynamics and provide insights into the mechanisms of SMC constriction, relaxation, and the phenomenon of vasomotion. The model will provide the basis for the development of multi-cellular mathematical models that will investigate microcirculatory function in health and disease.