Для цитирования:
Sinitsina M. S., Gordleeva S. Y., Kazantsev V. B., Pankratova E. V. Calcium concentration in astrocytes: Emergence of complicated spontaneous oscillations and their cessation [Синицина М. С., Гордлеева С. Ю., Казанцев В. Б., Панкратова Е. В. Концентрация кальция в астроцитах: возникновение сложных спонтанных колебаний и их затухание] // Известия вузов. ПНД. 2021. Т. 29, вып. 3. С. 440-448. DOI: 10.18500/0869-6632-2021-29-3-440-448
Calcium concentration in astrocytes: Emergence of complicated spontaneous oscillations and their cessation
[Концентрация кальция в астроцитах: возникновение сложных спонтанных колебаний и их затухание]
Цель данной работы – показать механизмы переходов между различными динамическими режимами спонтанной кальциевой активности астроцитов. С этой целью динамика недавно представленной математической модели Лаврентовича–Хемкина была исследована как аналитическими, так и численными методами. Методы. Для получения условий прекращения колебаний был проведен линейный анализ устойчивости точки равновесия. Сложная динамика изучалась численно в рамках построения реализаций и бифуркационных диаграмм. Результаты. Продемонстрированы механизмы развития колебательных режимов с увеличением максимального потока кальция через SERCA-насос при низком и высоком уровне концентрации внеклеточного кальция. Было показано, что возникновение колебаний происходит в результате суперкритической бифуркации Андронова–Хопфа, а свойства колебательного режима при дальнейшем увеличении максимального потока кальция через SERCA-насос сильно зависят от величины концентрации внеклеточного кальция. В частности, показано, что при определенном уровне концентрации ионов кальция снаружи клетки наблюдается возникновение хаотических спонтанных кальциевых колебаний. Заключение. На основе анализа различных динамических режимов спонтанной химической активности астроцитов возможно дальнейшее изучение особенностей взаимодействия астроцитов и нейронов в сложных многоклеточных системах.
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