TY - JOUR
T1 - Dynamics of a three-variable nonlinear model of vasomotion
T2 - Comparison of theory and experiment
AU - Parthimos, D.
AU - Haddock, R. E.
AU - Hill, C. E.
AU - Griffith, T. M.
PY - 2007/9
Y1 - 2007/9
N2 - The effects of pharmacological interventions that modulate Ca2+ homeodynamics and membrane potential in rat isolated cerebral vessels during vasomotion (i.e., rhythmic fluctuations in arterial diameter) were simulated by a third-order system of nonlinear differential equations. Independent control variables employed in the model were [Ca2+] in the cytosol, [Ca 2+] in intracellular stores, and smooth muscle membrane potential. Interactions between ryanodine- and inositol 1,4,5-trisphosphate-sensitive intracellular Ca2+ stores and transmembrane ion fluxes via K + channels, Cl- channels, and voltage-operated Ca 2+ channels were studied by comparing simulations of oscillatory behavior with experimental measurements of membrane potential, intracellular free [Ca2+] and vessel diameter during a range of pharmacological interventions. The main conclusion of the study is that a general model of vasomotion that predicts experimental data can be constructed by a low-order system that incorporates nonlinear interactions between dynamical control variables.
AB - The effects of pharmacological interventions that modulate Ca2+ homeodynamics and membrane potential in rat isolated cerebral vessels during vasomotion (i.e., rhythmic fluctuations in arterial diameter) were simulated by a third-order system of nonlinear differential equations. Independent control variables employed in the model were [Ca2+] in the cytosol, [Ca 2+] in intracellular stores, and smooth muscle membrane potential. Interactions between ryanodine- and inositol 1,4,5-trisphosphate-sensitive intracellular Ca2+ stores and transmembrane ion fluxes via K + channels, Cl- channels, and voltage-operated Ca 2+ channels were studied by comparing simulations of oscillatory behavior with experimental measurements of membrane potential, intracellular free [Ca2+] and vessel diameter during a range of pharmacological interventions. The main conclusion of the study is that a general model of vasomotion that predicts experimental data can be constructed by a low-order system that incorporates nonlinear interactions between dynamical control variables.
UR - http://www.scopus.com/inward/record.url?scp=34548621871&partnerID=8YFLogxK
U2 - 10.1529/biophysj.107.106278
DO - 10.1529/biophysj.107.106278
M3 - Article
SN - 0006-3495
VL - 93
SP - 1534
EP - 1556
JO - Biophysical Journal
JF - Biophysical Journal
IS - 5
ER -