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Circadian rhythms in mammals are tightly regulated through phosphorylation of Period (PER) proteins by Casein Kinase 1 (CK1, subtypes δ and ε). CK1 acts on at least two different regions of PER with opposing effects: phosphorylation of phosphodegron (pD) regions leads to PER degradation, while phosphorylation of the Familial Advanced Sleep Phase (FASP) region leads to PER stabilization. To investigate how substrate selectivity is encoded by the conformational dynamics of CK1, we performed a large set of independent molecular dynamics (MD) simulations of wildtype CK1 and the mutant (R178C) that biases kinase activity toward a pD. We used Markovian State Models (MSMs) to integrate the simulations into a single model of the conformational landscape of CK1 and used Gaussian accelerated molecular dynamics (GaMD) to build the first molecular model of CK1 and the unphosphorylated FASP motif. Together, these findings provide a mechanistic view of CK1, establishing how the activation loop acts as a key molecular switch to control substrate selectivity. We show that the mutant favors an alternative conformation of the activation loop and significantly accelerates the dynamics of CK1. This reshapes the binding cleft in a way that impairs FASP binding and would ultimately lead to PER destabilization and shorter circadian periods. Finally, we identified an allosteric pocket that could be targeted to bias this molecular switch. Our integrated approach offers a detailed model of CK1's conformational landscape and its relevance to normal, mutant, and druggable circadian timekeeping.
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http://dx.doi.org/10.1101/2025.01.17.633651 | DOI Listing |
ISA Trans
September 2025
School of Science, Yanshan University, Qinhuangdao Hebei, 066004, PR China. Electronic address:
This article concentrates on the issue of event-triggered dynamic output feedback control for Markovian jump complex dynamical networks (MJCNDs) subject to multiple cyberattacks. To alleviate the communication pressure, a new adaptive event-triggered mechanism (AETM) is proposed. This AETM incorporates a dynamically adjustable parameter and mode-dependent properties to enhance flexibility.
View Article and Find Full Text PDFEntropy (Basel)
August 2025
Université de Lorraine, CNRS, CRAN, 54000 Nancy, France.
Robust stability/stabilization for discrete-time time-varying Markovian jump linear systems subject to block-diagonal stochastic parameter perturbations is addressed in this paper. Using a scaling technique, we succeed in effectively addressing the multi-perturbations case. We obtain an estimation of the lower bound of the stability radius in terms of the unique bounded and positive semidefinite solutions of adequately defined backward Lyapunov difference equations.
View Article and Find Full Text PDFProteins
August 2025
Department of Chemistry, Birla Institute of Technology and Science, Pilani, Hyderabad Campus, Hyderabad, India.
Kinetics of intramolecular disulphide pairing in a six-cysteine containing plant toxin peptide cycloviolacin O1 (CyO1) having a cyclic backbone and a cyclic cystine knot (CCK) is studied using a Hidden Markov Model (HMM) created from molecular dynamics simulation trajectories. Starting from a fully reduced form of CyO1 (peptide-D), the kinetic model is created to track the peptide's evolution to a native-like state (peptide-N) where all three correct pairs of S-S linkages are most likely to be observed. The structural evolution and fluctuation of peptide-D through many partially folded S-S intermediates and the associated propensity, along with the timescale of formation of a single or simultaneously two or three S-S pairs, is studied using this Markov chain.
View Article and Find Full Text PDFJ Chem Phys
August 2025
The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India and Homi Bhabha National Institute, Anushakti Nagar, Mumbai 400094, India.
Coherent modified Redfield theory is employed to describe photoinduced proton-coupled electron transfer for a model Hamiltonian. This formalism is an extension of Redfield theory to capture weak to moderate system-bath coupling strengths, and the dynamics is secular and non-Markovian. In the model Hamiltonian, the electron is coupled to the proton and a phonon bath and is initially photoinduced from the ground electronic site to a donor site.
View Article and Find Full Text PDFNucleic Acids Res
August 2025
Department of Computer Science, City University of Hong Kong, 83 Tat Chee Ave, Kowloon Tong, 999077, Hong Kong.
Spatial trajectory inference models cell differentiation and state dynamics within tissues by integrating spatial information. Existing spatial trajectory inference methods depend on similarity-based cell graphs constructed from spatial proximity, with less attention to the Markovian property in cell state transitions. In this study, we introduce CASCAT, a tree-shaped structural causal model with the Markovian property integrated to infer a unique cell differentiation trajectory, addressing challenges posed by Markov equivalence in high-dimensional and nonlinear data.
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