Article
Physics, Multidisciplinary
Iddo Eliazar
Summary: This paper investigates first-passage times to the origin and introduces three types of FPT selfsimilarity, which yield respective FPT distributions. The analysis explicitly identifies the classes of diffusion processes that produce selfsimilar FPTs.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Biology
Sean D. Lawley, Joshua Johnson
Summary: Biological events often start when a random searcher finds a target, known as the first passage time (FPT). In biological systems involving multiple searchers, the time taken by the slowest searcher(s) to find a target is significant. This slowest FPT plays a role in cell signaling pathways' reliability and a cell's ability to locate external stimuli.
JOURNAL OF MATHEMATICAL BIOLOGY
(2023)
Article
Chemistry, Physical
Vishal Singh, Parbati Biswas
Summary: Protein aggregation is investigated theoretically and the age of appearance of aggregation-related diseases and survival probability are obtained. The results are in good agreement with the clinical data of Parkinson's disease.
CHEMICAL PHYSICS LETTERS
(2022)
Article
Physics, Multidisciplinary
Iddo Eliazar
Summary: A recent study introduced selfsimilarity as a novel approach to explore diffusions' first-passage times (FPTs). The study focused on three types of selfsimilarity: stochastic, Laplace, and hazard. It analyzed the universal distribution and statistical behaviors of FPTs, characterized generative diffusion dynamics and their universal Langevin representation, and revealed the linkages to Gumbel, Gompertz, and Frechet laws, diffusion in quadratic and logarithmic potentials, and the harmonic Poisson process.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Mathematics, Applied
Nikolai Leonenko, Enrica Pirozzi
Summary: This paper explores time-changed diffusion processes obtained through applying the Doob transformation rule, involving time-changed Gauss-Markov processes and fractional time-changed diffusions. It provides a fractional pseudo-Fokker-Planck equation for these processes and investigates their first passage time densities along with related integral equations and transformation rules. Additionally, it offers various forms of first passage time densities for time-changed Brownian motion and Ornstein-Uhlenbeck processes, connecting them with closed form results and numerical evaluations at the zero level.
STOCHASTIC ANALYSIS AND APPLICATIONS
(2022)
Article
Mathematics
Patricia Roman-Roman, Sergio Roman-Roman, Juan Jose Serrano-Perez, Francisco Torres-Ruiz
Summary: This study introduces a new method for evaluating the effect of treatments on tumor growth delay by utilizing stochastic modeling and first-passage time variables. It emphasizes the importance of determining the time required for individual tumors to reach a specific volume value rather than the average tumor volume reaching the value of interest. Various measures in random environments are defined to compare the time required for tumor volume to multiply by a certain factor in control and treated groups.
Article
Chemistry, Physical
Alexander M. Berezhkovskii, Attila Szabo
Summary: This article algebraically derives the relationship between mean first passage and transition path times with equilibrium fluxes and committor in multidimensional diffusive dynamics. It also provides an analytical expression for the starting point distribution and discovers its simple physical interpretation.
JOURNAL OF PHYSICAL CHEMISTRY B
(2022)
Article
Physics, Fluids & Plasmas
Adrien Chaigneau, Denis S. Grebenkov
Summary: This article investigates restricted diffusion towards a small partially reactive target in a bounded domain in three and higher-dimensional spaces. An explicit approximation for the principal eigenvalue of the Laplace operator with mixed Robin-Neumann boundary conditions is proposed, which also determines the mean first-reaction time, long-time decay of the survival probability, and overall reaction rate on the target. The relevant lengthscale of the target, which determines its trapping capacity, is identified, and the effect of target anisotropy on the principal eigenvalue is studied.
Article
Physics, Multidisciplinary
A. Barbier-Chebbah, O. Benichou, R. Voituriez
Summary: Self-interacting random walks with long-range memory effects have significant consequences on exploration properties. Attractive self-interactions provide advantages for local space exploration, while repulsive self-interactions accelerate global exploration.
Article
Mathematics, Applied
Mario Abundo
Summary: The study investigates the first-passage time of a one-dimensional continuous stochastic process through a smooth boundary, focusing on diffusions and various types of Gaussian processes. The tail behavior of maximum values and related asymptotics for the first-passage time are obtained, and examples are provided.
STOCHASTIC ANALYSIS AND APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
Denis S. Grebenkov, Aanjaneya Kumar
Summary: We investigate a class of diffusion-controlled reactions that are initiated when a certain number of particles simultaneously bind to a target region. We develop a renewal-based approach to approximate the probability density of the reaction time and analyze the dependence of the reaction time on key parameters.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Vincent Rossetto
Summary: This paper examines the solutions of the radiative transfer equation and their relationship with Green's functions, suggesting that the transitivity property can be achieved by considering the radiance distribution in phase space. Exact solutions are obtained in one and two dimensions using continuous-time persistent random walks, which correspond to the Fokker-Planck equation of the radiative transfer equation. The Lorentz covariance property is confirmed, and the measured signal from a pulse source in one dimension is discussed, unveiling an effective random delay when the pulse is emitted away from the observer.
Article
Mechanics
Gabriel Mercado-Vasquez, Denis Boyer, Satya N. Majumdar
Summary: Resetting the searcher's position to the starting point during a random search can decrease the mean completion time of the process. In this study, we theoretically investigate a protocol that can be implemented experimentally and exhibits unusual optimization properties. By controlling the switch-on and switch-off rates of the confining potential, various behaviors can be observed. These behaviors are not present in ideal resetting models.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Statistics & Probability
Clement Foucart, Matija Vidmar
Summary: This study introduces a class of one-dimensional positive Markov processes that generalize continuous-state branching processes by incorporating random collisions. The study establishes that these processes, known as CB processes with collisions (CBCs), are the only Feller processes without negative jumps that satisfy a Laplace duality relationship with one-dimensional diffusions. The study also explores the relationship between CBCs and CB processes with spectrally positive migration, and provides necessary and sufficient conditions for attracting boundaries and the existence of a limiting distribution.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Yanik-Pascal Forster, Luca Gamberi, Evan Tzanis, Pierpaolo Vivo, Alessia Annibale
Summary: In this study, a novel method is proposed for calculating mean first-passage times (MFPTs) for random walks on graphs using dimensionality reduction technique. The method preserves the MFPTs between certain nodes and provides explicit formulae for MFPTs in specific graph structures. For other types of graphs, the generalized approximation method gives useful results.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Chemistry, Physical
David De Sancho, Adam Kubas, Po-Hung Wang, Jochen Blumberger, Robert B. Best
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
(2015)
Article
Chemistry, Physical
Grzegorz Nawrocki, Po-hung Wang, Isseki Yu, Yuji Sugita, Michael Feig
JOURNAL OF PHYSICAL CHEMISTRY B
(2017)
Article
Chemistry, Physical
Michael Feig, Isseki Yu, Po-hung Wang, Grzegorz Nawrocki, Yuji Sugita
JOURNAL OF PHYSICAL CHEMISTRY B
(2017)
Article
Multidisciplinary Sciences
Erina Terasaka, Kenta Yamada, Po-Hung Wang, Kanta Hosokawa, Raika Yamagiwa, Kimi Matsumoto, Shoko Ishii, Takaharu Mori, Kiyoshi Yagi, Hitomi Sawai, Hiroyuki Arai, Hiroshi Sugimoto, Yuji Sugita, Yoshitsugu Shiro, Takehiko Tosha
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2017)
Review
Chemistry, Multidisciplinary
Claudio Greco, Vincent Fourmond, Carole Baffert, Po-hung Wang, Sebastien Dementin, Patrick Bertrand, Maurizio Bruschi, Jochen Blumberger, Luca de Gioia, Christophe Leger
ENERGY & ENVIRONMENTAL SCIENCE
(2014)
Article
Chemistry, Multidisciplinary
Po-hung Wang, Robert B. Best, Jochen Blumberger
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY
(2011)
Article
Chemistry, Multidisciplinary
Po-hung Wang, Maurizio Bruschi, Luca De Gioia, Jochen Blumberger
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY
(2013)
Article
Chemistry, Multidisciplinary
Vincent Fourmond, Claudio Greco, Kateryna Sybirna, Carole Baffert, Po-Hung Wang, Pierre Ezanno, Marco Montefiori, Maurizio Bruschi, Isabelle Meynial-Salles, Philippe Soucaille, Jochen Blumberger, Herve Bottin, Luca De Gioia, Christophe Leger
Article
Chemistry, Physical
Po-hung Wang, Robert B. Best, Jochen Blumberger
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
(2011)
Article
Immunology
Ryo Shinnakasu, Shuhei Sakakibara, Hiromi Yamamoto, Po-Hung Wang, Saya Moriyama, Nicolas Sax, Chikako Ono, Atsushi Yamanaka, Yu Adachi, Taishi Onodera, Takashi Sato, Masaharu Shinkai, Ryosuke Suzuki, Yoshiharu Matsuura, Noritaka Hashii, Yoshimasa Takahashi, Takeshi Inoue, Kazuo Yamashita, Tomohiro Kurosaki
Summary: Introducing N-linked glycans onto the RBD of SARS-CoV-2 can enhance humoral responses to the more conserved core-RBD, resulting in higher proportions of core-RBD-specific GC B cells and antibody responses with significant neutralizing activity against SARS-CoV, SARS-CoV-2, and bat WIV1-CoV, which has implications for designing vaccines against SARS-like viruses.
JOURNAL OF EXPERIMENTAL MEDICINE
(2021)
Article
Chemistry, Physical
Po-hung Wang, Isseki Yu, Michael Feig, Yuji Sugita
CHEMICAL PHYSICS LETTERS
(2017)