2021
DOI: 10.1007/978-1-0716-2249-0_4
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Mathematical Modeling in Circadian Rhythmicity

Abstract: Circadian clocks are autonomous systems able to oscillate in a self-sustained manner in the absence of external cues, although such Zeitgebers are typically present. At the cellular level, the molecular clockwork consists of a complex network of interlocked feedback loops. This chapter discusses self-sustained circadian oscillators in the context of nonlinear dynamics theory. We suggest basic steps that can help in constructing a mathematical model and introduce how self-sustained generations can be modeled us… Show more

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Cited by 6 publications
(3 citation statements)
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“…To unravel these questions, the application of mathematical modeling and simulation proves invaluable in providing mechanistic insights into the non-linear behaviors of complex biological systems, e.g., mammalian circadian dynamics [27][28][29][30][31] and cardiac excitation patterns [32,33]. Earlier in silico studies have quantified the impact of circadian expression of potassium channel interacting protein-2 on shaping ventricular AP morphologies [34,35], and investigated the role of circadian rhythmicity of I CaL expression and function in the occurrence of early after-depolarizations in guinea pig ventricular cardiomyocytes and tissues [36].…”
Section: Introductionmentioning
confidence: 99%
“…To unravel these questions, the application of mathematical modeling and simulation proves invaluable in providing mechanistic insights into the non-linear behaviors of complex biological systems, e.g., mammalian circadian dynamics [27][28][29][30][31] and cardiac excitation patterns [32,33]. Earlier in silico studies have quantified the impact of circadian expression of potassium channel interacting protein-2 on shaping ventricular AP morphologies [34,35], and investigated the role of circadian rhythmicity of I CaL expression and function in the occurrence of early after-depolarizations in guinea pig ventricular cardiomyocytes and tissues [36].…”
Section: Introductionmentioning
confidence: 99%
“…Alternative rhythmicity models have emerged. In [ 21 ], and references therein, models based on ordinary differential equations are proposed to describe circadian clock dynamics. However, the type of equations and model parameters are arbitrary and highly dependent on the process under study.…”
Section: Introductionmentioning
confidence: 99%
“…Alternative rhythmicity models have emerged from different subjects. In [18], and references therein, models based on ordinary differential equations are proposed to describe circadian clock dynamics. However, the type of equations and model parameters are arbitrary and highly depend on the process under study.…”
Section: Introductionmentioning
confidence: 99%