Department of Chemical Engineering, University of Massachusetts, Amherst, MA 01003, USA.
J Theor Biol. 2011 Nov 7;288:44-56. doi: 10.1016/j.jtbi.2011.08.010. Epub 2011 Aug 22.
We developed a multicellular model of the mammalian circadian clock characterized by a high degree of heterogeneity with respect to single cell periodicity and behavior (intrinsic and driven oscillators), neurotransmitter release (VIP, GABA and glutamate synthesis) and spatial organization (core and shell regions), mimicking structural patterns within the suprachiasmatic nucleus (SCN) associated with distinct circadian functions. We simulated the SCN core and shell separately utilizing experimentally derived connectivity schemes for the two subdivisions as observed within the rat SCN. The core was modeled via a small world network characterized by VIP and GABA co-localization, whereas the shell was simulated as a nearest neighbor network promoting local GABAergic connections. To study the function of the axonal plexus extending from the densely innervated ventrolateral region to distal areas across the dorsomedial SCN, directed long range links from the core to the shell were gradually introduced via a probability p(cs) that ranged from 0 to 1. A probability value of 0 excluded core-shell interactions, whereas p(cs)=1 achieved maximal connectivity between the two regions. Our model exhibited a threshold in the number of core-to-shell links required for sufficient cell-to-cell coordination to maintain periodicity and rhythmic behavior across the entire model network (including both shell and core populations) in constant darkness as well as 12:12h light-dark cycles. By contrast, constant light was shown to increase phase synchronization across the shell while core populations remained poorly synchronized, suggesting differential light response across the two SCN compartments. We further simulated increasing percentages of intrinsic oscillators and demonstrated a negative correlation between the number of intrinsic oscillators distributed across the SCN and the ability of the system to produce synchronized signals. Simulations that differed with respect to the placement of intrinsic oscillators supported the hypothesis that improved synchronization is achieved with networks characterized by localized intrinsic oscillators placed exclusively within the shell versus networks containing uniformly distributed intrinsic oscillators in both SCN compartments. This study has successfully reproduced a number of spatiotemporal and behavioral attributes of the SCN, providing a useful computational tool to correlate observed circadian phenotypes with distinct chemoarchitectural properties of spatially localized neural populations.
我们开发了一个哺乳动物生物钟的多细胞模型,该模型具有高度的异质性,涉及单细胞周期和行为(内在和驱动振荡器)、神经递质释放(VIP、GABA 和谷氨酸合成)和空间组织(核心和壳区),模拟了与不同生物钟功能相关的视交叉上核(SCN)的结构模式。我们分别模拟了 SCN 的核心和壳区,利用了在大鼠 SCN 中观察到的两个细分区域的实验衍生连接方案。核心通过 VIP 和 GABA 共定位的小世界网络进行建模,而壳区则被模拟为促进局部 GABA 能连接的最近邻网络。为了研究从密集神经支配的腹外侧区域延伸到 SCN 背内侧远端区域的轴突丛的功能,通过核心到壳区的概率 p(cs)逐渐引入从核心到壳区的定向长程链接,该概率 p(cs)从 0 到 1 变化。概率值为 0 时排除了核心-壳区相互作用,而 p(cs)=1 时实现了两个区域之间的最大连接。我们的模型在需要核心到壳区的链接数量上表现出一个阈值,以确保足够的细胞间协调来维持整个模型网络(包括壳区和核心区)的周期性和节律性行为,无论是在持续黑暗中还是在 12:12 小时光-暗循环中。相比之下,持续光照显示出在壳区中增加相位同步,而核心区的种群仍然同步性较差,这表明两个 SCN 区室的光反应不同。我们进一步模拟了内在振荡器百分比的增加,并证明了分布在 SCN 中的内在振荡器数量与系统产生同步信号的能力之间存在负相关。关于内在振荡器放置的不同模拟支持了这样一种假设,即通过仅位于壳区的具有局灶性内在振荡器的网络实现更好的同步,而不是通过在两个 SCN 区室中都具有均匀分布的内在振荡器的网络来实现。这项研究成功地再现了 SCN 的许多时空和行为属性,为将观察到的生物钟表型与空间定位的神经群体的不同化学建筑属性相关联提供了一个有用的计算工具。