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The model of the deformation of DNA macromolecule is developed with the accounting of two types of components of deformation: external and internal. External components describe the bend, twist and stretch of the double helix. The internal…

Soft Condensed Matter · Physics 2020-12-01 P. P. Kanevska , S. N. Volkov

The existence of large \nu_\mu-\nu_\tau mixing suggests the likelihood of large smuon-stau mixing in supersymmetric models, leading to \mu and \tau number violation. In addition to interesting signatures in slepton and neutralino production…

High Energy Physics - Phenomenology · Physics 2009-11-07 Marc Sher

Mechanistic modeling provides a biophysically grounded framework for studying the spread of pathological tau protein in tauopathies like Alzheimer's disease. Existing approaches typically model tau propagation as a diffusive process on the…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Nuutti Barron , Heng Rao , Urmi Saha , Yu Gu , Zhenghao Liu , Ge Yu , Defu Yang , Ashish Raj , Minghan Chen

The author considers a hypothesis of neutron lifetime splitting in beta-decay and shows that the beta-decay of neutrons could be described by the triad of lifetimes tau_{Left}, tau_{Mean}, tau_{Right}. The lifetime tau_{Left} is the…

Data Analysis, Statistics and Probability · Physics 2019-04-01 V. V. Vasiliev

Recent results of a high-statistics study of tau lepton properties and decays at B factories are reviewed. We discuss measurements of tau lifetime, branching fractions, and spectral functions for several hadronic tau decay modes with…

High Energy Physics - Experiment · Physics 2014-07-29 D. A. Epifanov

Many models for physics beyond the Standard Model predict lepton-flavour violating decays of charged leptons at a level which may become observable very soon. In the present paper we investigate the decays of a Tau into three charged…

High Energy Physics - Phenomenology · Physics 2010-02-03 B. M. Dassinger , Th. Feldmann , Th. Mannel , S. Turczyk

A four-node network consisting of a negative loop controlling a positive one is studied. It models some of the features of the p53 gene network. Using piecewise linear dynamics with thresholds, the allowed dynamical classes are fully…

Molecular Networks · Quantitative Biology 2007-05-23 Carlos Aguirre , Joao Martins , R. Vilela Mendes

All stem cell fate transitions, including the metabolic reprogramming of stem cells and the somatic reprogramming of fibroblasts into pluripotent stem cells, can be understood from a unified theoretical model of cell fates. Each cell fate…

Biomolecules · Quantitative Biology 2020-02-17 Ng Shyh-Chang , Liaofu Luo

The emergence of tau PET imaging over the last decade has enabled Alzheimer's disease (AD) researchers to examine tau pathology in vivo and more effectively characterize the disease trajectories of AD. Current tau PET analysis methods,…

Image and Video Processing · Electrical Eng. & Systems 2025-12-16 Lujia Zhong , Shuo Huang , Jiaxin Yue , Jianwei Zhang , Zhiwei Deng , Wenhao Chi , Yonggang Shi

DNA supercoiling plays an important role in a variety of cellular processes. The torsional stress related with supercoiling may be also involved in gene regulation through the local structure and dynamics of the double helix. To check this…

Biomolecules · Quantitative Biology 2015-05-19 Alexey K. Mazur

Alzheimer's disease is the most common dementia worldwide. Its pathological development is well known to be connected with the accumulation of two toxic proteins: tau protein and amyloid-$\beta$. Mathematical models and numerical…

Numerical Analysis · Mathematics 2024-09-05 Mattia Corti

Identifying preclinical biomarkers of neurodegenerative diseases remains a major challenge in aging research. In this study, we demonstrate that frequent "Don't know/can't remember" (DK) responses, often treated as missing data in…

Applications · Statistics 2025-12-16 Yukun Lu , Bingjie Li , Zhigang Yao

Evaluated $2\beta^{-}(2\nu)$ half-lives and their systematics were reexamined in the framework of a phenomenological approach. Decay rate dependence on nuclear deformation, decay energy, shape coexistence, and forbidden transitions was…

Nuclear Theory · Physics 2023-03-22 B. Pritychenko

A mathematical model of genome degradation is proposed that takes into account a variable rate of mutation and increasing number of cells in a developing human organism. The model explains known properties of cancer development, in…

Biological Physics · Physics 2007-05-23 V. N. Binhi

We propose and analyze a stochastic model to investigate epigenetic mutations, i.e., modifications of the genetic information that control gene expression patterns in a cell but do not alter the DNA sequence. Epigenetic mutations are…

Analysis of PDEs · Mathematics 2024-07-09 Pablo Padilla-Longoria , Jesus Sierra

Accurate subtyping or classification of breast cancer is important for ensuring proper treatment of patients and also for understanding the molecular mechanisms driving this disease. While there have been several gene signatures proposed in…

Quantitative Methods · Quantitative Biology 2015-05-20 Atefeh Taherian Fard , Sriganesh Srihari , Mark A. Ragan

The interaction energies between the different types of bases of a single strand of DNA molecule have been calculated. Using these original values of energies the harmonic behavior of a number of base patterns of DNA has been studied. In…

Biological Physics · Physics 2007-05-23 Md. Ashrafuzzaman , Ahmed Shafee

Baryon number violation is our most sensitive probe of physics beyond the Standard Model, especially through the study of nucleon decays. Angular momentum conservation requires a lepton in the final state of such decays, kinematically…

High Energy Physics - Phenomenology · Physics 2024-07-22 Julian Heeck , Dima Watkins

Misfolded tau proteins play a critical role in the progression and pathology of Alzheimer's disease. Recent studies suggest that the spatio-temporal pattern of misfolded tau follows a reaction-diffusion type equation. However, the precise…

Machine Learning · Computer Science 2023-07-18 Zhen Zhang , Zongren Zou , Ellen Kuhl , George Em Karniadakis

Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. The Waddington landscape posits that gene circuits in a cell form a potential landscape of different cell types, wherein cells follow attractors of…

Quantitative Methods · Quantitative Biology 2023-09-15 Rongsheng Huang , Qiaojun Situ , Jinzhi Lei