Article
Mathematics, Applied
Mehran Fazli, Theodore Vo, Richard Bertram
Summary: This passage discusses the focus of study on electrical bursting oscillations in neurons and endocrine cells, the usefulness of mathematical modeling in understanding bursting patterns, and a new mechanism involving stochastic opening and closing of key ion channels. It also highlights the importance of stochastic element in enabling bursting in the system and its application for explaining stochastic bursting in pituitary cells.
Article
Endocrinology & Metabolism
Mehran Fazli, Richard Bertram
Summary: The endocrine cells of the anterior pituitary gland exhibit electrical activity, with bursting being the most effective pattern for hormone release. Activity synchronization is influenced by electrical coupling and physiological changes. Weak electrical coupling makes it difficult to predict the functional network.
FRONTIERS IN ENDOCRINOLOGY
(2022)
Article
Engineering, Mechanical
Zhenyang Chen, Fangqi Chen
Summary: This paper analytically and numerically investigates the energy harvesting with bursting regimes in a piezoelectric buckled beam system under fast-slow excitation. The study reveals pitchfork bifurcations and folds of cycle in the fast sub-system, which result in small amplitude and large amplitude buckled configurations. The numerical bifurcation diagram is consistent with the analytical results. Long-term chaotic transients are observed when the amplitude of the fast excitation is relatively large. The study also discusses the bursting patterns under low-frequency excitation, both in quasi-static and non-static cases. The averaged output power analysis suggests that introducing low-frequency excitation can broaden the output bandwidth and non-static slow excitation provides better performance in the presence of weak fast sub-system transients. However, a band exists where quasi-static slow excitation provides higher output power when the fast sub-system has strong transients.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Mechanical
Halgurd Taher, Daniele Avitabile, Mathieu Desroches
Summary: We report a detailed analysis on the emergence of bursting in a recently developed neural mass model that includes short-term synaptic plasticity. The study reveals the importance of synaptic dynamics in bursting activity and the complex process of bursting initiation.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Xianjun Wang, Huaguang Gu, Yanbing Jia
Summary: Recent studies on neurodynamics have focused on paradoxical phenomena where inhibitory modulations enhance neuronal firing activity or excitatory modulations reduce firing activity. In this paper, the authors identify that fast and slow excitatory autapses induce opposite responses in a neuronal model. The fast decay of the excitatory autapse is found to be the essential factor for reducing bursting activity, while the slow decay of the autapse leads to increased bursting activity.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Mechanical
Yuye Li, Huaguang Gu, Yanbing Jia, Kaihua Ma
Summary: This paper proposes a novel fast-slow variable dissection method with two slow variables to analyze complex bursting behavior, addressing issues encountered with traditional methods and providing insights for modulating pathological pain.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Francesco Montefusco, Morten Gram Pedersen
Summary: To understand the behavior of random dynamical systems in hybrid models, a geometric method is proposed to work directly with the hybrid system. By analyzing the random fast subsystem using discrete phase planes and stochastic events, the overall dynamics of the system can be determined, providing insights into the behavior of the system.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Mechanical
Yongxia Yang, Yuye Li, Huaguang Gu, Changsheng Qi
Summary: This paper investigates the opposite roles of inhibitory autapses with fast and slow time scales on modulating bursting activities in theoretical models, providing a novel viewpoint on inhibitory autapse and bursting in brain neurons. The results show that fast and slow inhibitory autapses induce enhancement and reduction of bursting activities respectively, and the underlying bifurcation mechanisms and dynamics of autaptic current are acquired.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Kaihua Ma, Huaguang Gu, Zhiguo Zhao
Summary: The study explores bursting patterns related to seizures and spreading depression in a theoretical model. By utilizing a fast-slow variable dissection method with two slow variables, the analysis reveals complex bifurcations underlying the bursting patterns and a proper performing process for effective modulation to brain dysfunction-related bursting patterns.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Endocrinology & Metabolism
Miriam Paz-Barba, Amadeo Munoz Garcia, Twan J. J. de Winter, Natascha de Graaf, Maarten van Agen, Elisa van der Sar, Ferdy Lambregtse, Lizanne Daleman, Arno van der Slik, Arnaud Zaldumbide, Eelco J. P. de Koning, Francoise Carlotti
Summary: APOL genes are expressed in human beta cells and are strongly upregulated upon inflammation via the JAK-STAT pathway. APOL1 overexpression induces endoplasmic reticulum stress, while knockdown of APOL1 prevents cytokine-induced beta cell death and interferon-associated response. Additionally, APOL genes are upregulated in beta cells from donors with type 2 diabetes compared with donors without diabetes mellitus.
Article
Engineering, Mechanical
Heng Liu, Zhuoqin Yang, Bojie Yang
Summary: This study uses a model of the embryonic pre-BotC neuron to explore the bursting mechanisms and provides a new perspective on the fast-slow analysis. It identifies the dynamical mechanisms of depolarization block (DB) bursting and mixed bursting using bifurcation analysis.
NONLINEAR DYNAMICS
(2023)
Editorial Material
Neurosciences
Kerstin Preuschoff
Summary: The study reveals two parallel valuation mechanisms by investigating the value signals of caudate nucleus and orbitofrontal cortex during choice.
Article
Mathematics, Applied
Luciano A. Magrini, Margarete Oliveira Domingues, Elbert E. N. Macau, Istvan Z. Kiss
Summary: This study investigated synchronization of coupled electrochemical bursting oscillators through the electrodissolution of iron in sulfuric acid. The results showed a progressive transition with increasing coupling strength, where synchronization between oscillators went from overlapping fast burst intervals, to synchronization of fast spiking, and finally to synchronization of slow chaotic oscillations. In a population of 25 globally coupled oscillators, coupling eliminated fast dynamics, leaving only synchronization of slow dynamics.
Article
Engineering, Multidisciplinary
Sengkong Khov, Diyi Chen, Kimleng Kheav, Haojuan Wei
Summary: This article investigates the fast-slow bursting behaviors of the hydroelectric governing system and the associated nonlinear dynamic behaviors under sensitive parameter values. The results show that the system can escape from fast-slow bursting phenomena when certain parameters increase, providing important references for setting sensitive parameters to protect the hydroelectric governing system for safe and stable operation.
JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS
(2021)
Article
Biophysics
Isabella Marinelli, Vishal Parekh, Patrick Fletcher, Benjamin Thompson, Jinhua Ren, Xiaoqing Tang, Thomas L. Saunders, Joon Ha, Arthur Sherman, Richard Bertram, Leslie S. Satin
Summary: Pulsatile insulin secretion is important for glucose control, and glycolytic oscillations have been proposed as the mechanism underlying this process. The enzyme 6-phosphofructokinase-1 (PFK) plays a role in glycolysis. Previous studies have suggested that PFKM may be responsible for slow oscillations observed in islets. However, new research using knockout mice that lack PFKM shows that these slow oscillations can still occur, indicating functional redundancy provided by another isoform, PFKP. Mathematical modeling also supports the hypothesis that PFKM dominates in vivo due to its higher affinity for FBP. This study provides insights into the physiological processes of beta cells and the role of PFK isoforms.
BIOPHYSICAL JOURNAL
(2022)
