A mathematical model of intricate calcium dynamics and modulation of calcium signalling by mitochondria in pancreatic acinar cells

Manhas, Neeraj; Anbazhagan, N.

doi:10.1016/j.chaos.2021.110741

Cited by 18 publications

(5 citation statements)

References 75 publications

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“…This indicates that the model has a high degree of fit, and -tests were conducted on each variable, with -values all less than zero, indicating a significant impact [61][62][63][64][65][66]. Finally, the fitted emotional quantification model is…”

Section: Emotional Quantification Model System Resultsmentioning

confidence: 99%

Investigating the Impact of Music Performance Anxiety (MPA) on Academic Performance in Music Education: A Nonlinear Data Fusion Model Approach

Peng,

Fang,

Guo

2024

Preprint

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This research aims to investigate psychological anxiety factors, particularly Music Performance Anxiety (MPA), that influence the sustainability of music learning systems. This study employs an innovative integration of qualitative and quantitative methodologies, marking the first use of a nonlinear system paired with a comprehensive data framework for analyzing questionnaire responses. This approach allows for a detailed examination of the effects of these factors on academic outcomes. Previous research has primarily focused on the fragmented music learning system from the perspective of teachers' instructional strategies, emphasizing phased teaching methods and learning objectives which focus often neglected a significant subset of music learners. Addressing this oversight, the current study specifically centers on the emotional aspects of anxiety within music learning systems, with a particular emphasis on students, who play a crucial role in music education. This perspective enables a deep exploration of how MPA and other related emotional factors affect music learning systems. A notable innovation of this research is the development of a stochastic nonlinear system designed to model the psychological factors impacting student music learning, complemented by a quantitative model that assesses actual learning outcomes. By analyzing this nonlinear system, the research identifies weight values for various negative emotions, particularly those related to MPA, that significantly influence the music learning process. The integration of MPA and other anxiety related emotional factors with practical learning outcomes provides a comprehensive understanding of their combined impact on the music learning system. These insights are invaluable for educators and policymakers aiming to enhance both the effectiveness and emotional well-being within music education. This comprehensive approach offers a novel perspective in understanding and improving the dynamics of music education through a more empathetic and scientifically grounded lens.

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Section: Emotional Quantification Model System Resultsmentioning

confidence: 99%

Investigating the Impact of Music Performance Anxiety (MPA) on Academic Performance in Music Education: A Nonlinear Data Fusion Model Approach

Peng,

Fang,

Guo

2024

Preprint

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“…However, from the data collected, students are still feeling frustrated even they are not chasing the perfection. Bandura's Social Cognitive Theory emphasizes the role of self-efficacy, the belief in one's ability to succeed in specific situations [66]. High expectations may be linked to high self-efficacy, but unrealistic expectations can lead to a mismatch between perceived ability and actual performance, resulting in frustration.…”

Section: Expectationmentioning

confidence: 99%

Research on Effect of Psychological Emotions and Academic Performance on Music Learning System Based on Nonlinear Model System

Peng,

Fang,

Guo

et al. 2024

Preprint

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This research aims to explore factors that influence sustainable music learning system from psychological perspective, and innovatively constructs a combination of qualitative and quantitative approaches. For first time, combines nonlinear system and identifies relevant factors affecting music learning by establishing data system for questionnaire answering and a quantitative model for actual academic performance. Existing research mainly looks at several factors that affect fragmented music learning system from perspective of teachers' teaching rules, emphasizing phased teaching state and learning goals of teachers as main body, thus ignoring music learning students, who are a large group of music learning objects. The research fills gap in this type of research object, focusing on sustainable music learning system from emotional perspective and students who occupy a dominant position in music learning, so as to more accurately explore impact of their emotional influencing factors on music learning system. The most prominent innovation of this study lies in construction of stochastic nonlinear system for psychological influencing factors of student music learning and a quantitative model for actual learning effect. Through analysis of nonlinear system, weight values of several negative emotions on music learning system are obtained. The comprehensive impact of emotional factors and practical learning on music learning system can be obtained by weighting them together.

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“…The dysregulatory effects of neuronal [Ca 2+ ] dynamics in different pathologies have been discussed by Brini et al [13]. In the recent past, calcium signaling is discussed in different cells including astrocytes [14,15], neurons [16][17][18][19][20][21], acinar [22][23][24], myocytes [25,26], fibroblast cells [27,28], Oocytes [29][30][31][32], hepatocyte cells [33], etc utilizing various numerical procedures. The neuronal calcium signaling mechanisms with buffer approximation and Na + ions have been discussed by Tewari et al [16,17].…”

Section: Introductionmentioning

confidence: 99%

Fractional order interdependent nonlinear chaotic spatiotemporal calcium and Aβ dynamics in a neuron cell

Pawar

Pardasani

2023

Phys. Scr.

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The formation of β-amyloid (Aβ) and its accumulation depend on the calcium ([Ca2+]) signaling in neurons. The individual and independent dynamics of calcium and β-amyloid give very limited information about different cellular mechanisms. Some researchers have explored the interdependent system dynamics of integer-order calcium and β-amyloid, which provides some more crucial information on different regulatory and dysregulatory processes in neurons. However, these integer-order systems are not capable of generating the information on the superdiffusion, cell memory and Brownian motion effects in neuron cells. A nonlinear mathematical model has been framed to explore the fractional-order interdependent chaotic spatiotemporal [Ca2+] and Aβ dynamics in neurons. The proposed model integrates the two-way feedback mechanism between [Ca2+] and Aβ dynamics in neurons. The Crank-Nicolson scheme with the Grunwald approximation is employed for space fractional derivatives and the L1 formula is employed for time fractional derivatives. The Gauss-Seidel iterations are utilized to solve the resultant system of nonlinear algebraic equations. The effects of cell memory, Brownian motion and superdiffusion phenomena with different crucial mechanisms like buffer, source influx, ryanodine receptor, etc. on the spatiotemporal interdependent [Ca2+] and Aβ dynamics have been explored in neurons. The numerical findings give novel insights on the regulatory and dysregulatory effects of cell memory, Brownian motion and superdiffusion on the system dynamics of [Ca2+] and Aβ in neuron cells and the conditions that may cause the different neurodegenerative illnesses like Alzheimer’s disease.

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A mathematical model of intricate calcium dynamics and modulation of calcium signalling by mitochondria in pancreatic acinar cells

Cited by 18 publications

References 75 publications

Investigating the Impact of Music Performance Anxiety (MPA) on Academic Performance in Music Education: A Nonlinear Data Fusion Model Approach

Investigating the Impact of Music Performance Anxiety (MPA) on Academic Performance in Music Education: A Nonlinear Data Fusion Model Approach

Research on Effect of Psychological Emotions and Academic Performance on Music Learning System Based on Nonlinear Model System

Fractional order interdependent nonlinear chaotic spatiotemporal calcium and Aβ dynamics in a neuron cell

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