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Quantitative properties of stochastic systems are usually specified in logics that allow one to compare the measure of executions satisfying certain temporal properties with thresholds. The model checking problem for stochastic systems with…

计算机科学中的逻辑 · 计算机科学 2010-05-11 Axel Legay , Benoit Delahaye

Many cellular behaviors are regulated by gene regulation networks, kinetics of which is one of the main subjects in the study of systems biology. Because of the low number molecules in these reacting systems, stochastic effects are…

定量方法 · 定量生物学 2011-04-26 Jinzhi Lei

People are living longer than ever before, and with this arises new complications and challenges for humanity. Among the most pressing of these challenges is of understanding the role of aging in the development of dementia. This paper is…

统计方法学 · 统计学 2018-08-07 Jonathan P Williams , Curtis B Storlie , Terry M Therneau , Clifford R Jack , Jan Hannig

Biologists have long sought a way to explain how statistical properties of genetic sequences emerged and are maintained through evolution. On the one hand, non-random structures at different scales indicate a complex genome organisation. On…

定量方法 · 定量生物学 2018-11-01 Giampaolo Cristadoro , Mirko Degli Esposti , Eduardo G. Altmann

This paper provides a framework in order to statistically model sequences from human genome, which is allowing a formulation to synthesize gene sequences. We start by converting the alphabetic sequence of genome to decimal sequence by…

其他定量生物学 · 定量生物学 2019-08-12 Salman Mohamadi , Farhang Yeganegi , Hamidreza Amindavar

Within systems biology there is an increasing interest in the stochastic behavior of genetic and biochemical reaction networks. An appropriate stochastic description is provided by the chemical master equation, which represents a continuous…

生物物理 · 物理学 2011-06-23 E. Giampieri , D. Remondini , L. de Oliveira , G. Castellani , P. Lió

Tools that effectively analyze and compare sequences are of great importance in various areas of applied computational research, especially in the framework of molecular biology. In the present paper, we introduce simple geometric criteria…

定量方法 · 定量生物学 2013-08-14 Boris Brimkov , Valentin E. Brimkov

Recent technological advancements in data acquisition tools allowed life scientists to acquire multimodal data from different biological application domains. Broadly categorized in three types (i.e., sequences, images, and signals), these…

定量方法 · 定量生物学 2020-03-03 Mufti Mahmud , M Shamim Kaiser , Amir Hussain

We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are…

种群与进化 · 定量生物学 2018-07-19 George W. A. Constable , Alan J. McKane

Background: DNA, RNA, and protein sequence motifs can be recognition sites for biological functions such as regulation, DNA base modification, and molecular binding in general. The gain and loss of such motifs can carry important…

基因组学 · 定量生物学 2022-10-19 Afif Elghraoui , Faramarz Valafar

Learning the continuous dynamics of a system from snapshots of its temporal marginals is a problem which appears throughout natural sciences and machine learning, including in quantum systems, single-cell biological data, and generative…

机器学习 · 计算机科学 2023-06-12 Kirill Neklyudov , Rob Brekelmans , Daniel Severo , Alireza Makhzani

Segmental structure is a common pattern in many types of sequences such as phrases in human languages. In this paper, we present a probabilistic model for sequences via their segmentations. The probability of a segmented sequence is…

机器学习 · 统计学 2018-07-20 Chong Wang , Yining Wang , Po-Sen Huang , Abdelrahman Mohamed , Dengyong Zhou , Li Deng

Biological cells replicate their genomes in a well-planned manner. The DNA replication program of an organism determines the timing at which different genomic regions are replicated, with fundamental consequences for cell homeostasis and…

亚细胞过程 · 定量生物学 2024-05-28 Florian Pflug , Deepak Bhat , Simone Pigolotti

Human history leaves fingerprints in human languages. Little is known over language evolution and its study is of great importance. Here, we construct a simple stochastic model and compare its results to statistical data of real languages.…

物理与社会 · 物理学 2015-05-13 V. Schwämmle , P. M. C. de Oliveira

A review of the mechanisms of speciation is performed. The mechanisms of the evolution of species, taking into account the feedback of the state of the environment and mechanisms of the emergence of complexity, are considered. It is shown…

种群与进化 · 定量生物学 2018-07-18 Alexey V. Melkikh , Alexey V. Melkikh , Andrei Khrennikov

Many scientific fields, from medicine to seismology, rely on analyzing sequences of events over time to understand complex systems. Traditionally, machine learning models must be built and trained from scratch for each new dataset, which is…

机器学习 · 计算机科学 2026-01-21 David Berghaus , Patrick Seifner , Kostadin Cvejoski , Ramses J. Sanchez

By providing a framework of accounting for the shared ancestry inherent to all life, phylogenetics is becoming the statistical foundation of biology. The importance of model choice continues to grow as phylogenetic models continue to…

种群与进化 · 定量生物学 2019-02-05 Jamie R. Oaks , Kerry A. Cobb , Vladimir N. Minin , Adam D. Leaché

We advocate the use of qualitative models in the analysis of large biological systems. We show how qualitative models are linked to theoretical differential models and practical graphical models of biological networks. A new technique for…

分子网络 · 定量生物学 2007-05-23 Philippe Veber , Michel Le_Borgne , Anne Siegel , Sandrine Lagarrigue , Ovidiu Radulescu

Machine learning is a modern approach to problem-solving and task automation. In particular, machine learning is concerned with the development and applications of algorithms that can recognize patterns in data and use them for predictive…

Large language models (LLMs) are having transformative impacts across a wide range of scientific fields, particularly in the biomedical sciences. Just as the goal of Natural Language Processing is to understand sequences of words, a major…

基因组学 · 定量生物学 2024-09-24 Gonzalo Benegas , Chengzhong Ye , Carlos Albors , Jianan Canal Li , Yun S. Song