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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

Cancer invasion and metastasis depend on angiogenesis. The cellular processes (growth, migration, and apoptosis) that occur during angiogenesis are tightly regulated by signaling molecules. Thus, understanding how cells synthesize multiple…

分子网络 · 定量生物学 2008-03-05 Amy L. Bauer , Trachette L. Jackson , Yi Jiang , Thimo Rohlf

Mathematical models of stem cell differentiation are commonly based upon the concept of subsequent cell fate decisions, each controlled by a gene regulatory network. These networks exhibit a multistable behavior and cause the system to…

定量方法 · 定量生物学 2011-07-06 Christian Breindl , Daniella Schittler , Steffen Waldherr , Frank Allgöwer

The dynamics of gene regulatory networks is governed by the interaction between deterministic biochemical reactions and molecular noise. To understand how gene regulatory networks process information during cell state transitions, we study…

分子网络 · 定量生物学 2025-09-11 Miguel Ángel García-Ariza , Alessandro Bravetti , Pablo Padilla , J Roberto Romero-Arias

This article presents an algorithm that allows modeling of biological networks in a qualitative framework with continuous time. Mathematical modeling is used as a systems biology tool to answer biological questions, and more precisely, to…

分子网络 · 定量生物学 2012-05-30 Gautier Stoll , Eric Viara , Emmanuel Barillot , Laurence Calzone

In the context of discrete dynamical systems and their applications, fixed points often have a clear interpretation. This is indeed a central topic of gene regulatory mechanisms modeled by Boolean automata networks (BANs), where a…

离散数学 · 计算机科学 2025-07-29 Kévin Perrot , Sylvain Sené , Léah Tapin

The nonlinearity of dynamics in systems biology makes it hard to infer them from experimental data. Simple linear models are computationally efficient, but cannot incorporate these important nonlinearities. An adaptive method based on the…

定量方法 · 定量生物学 2015-08-19 Bryan C. Daniels , Ilya Nemenman

We show that spectral fluctuation of interaction matrices of yeast a core protein interaction network and a metabolic network follows the description of the Gaussian orthogonal ensemble (GOE) of random matrix theory (RMT). Furthermore, we…

分子网络 · 定量生物学 2009-11-11 Feng Luo , Jianxin Zhong , Yunfeng Yang , Richard H. Scheuermann , Jizhong Zhou

Pluripotent embryonic stem cells are of paramount importance for biomedical research thanks to their innate ability for self-renewal and differentiation into all major cell lines. The fateful decision to exit or remain in the pluripotent…

分子网络 · 定量生物学 2018-07-04 Yen Ting Lin , Peter G. Hufton , Esther J. Lee , Davit A. Potoyan

A Boolean network is a finite state discrete time dynamical system. At each step, each variable takes a value from a binary set. The value update rule for each variable is a local function which depends only on a selected subset of…

动力系统 · 数学 2017-08-10 Zuguang Gao , Xudong Chen , Tamer Başar

Cancer forms a robust system and progresses as stages over time typically with increasing aggressiveness and worsening prognosis. Characterizing these stages and identifying the genes driving transitions between them is critical to…

分子网络 · 定量生物学 2014-02-04 Sriganesh Srihari , Venkatesh Raman , Hon Wai Leong , Mark A. Ragan

Direct cell reprogramming makes it feasible to reprogram abundant somatic cells into desired cells. It has great potential for regenerative medicine and tissue engineering. In this work, we study the control of biological networks, modelled…

系统与控制 · 电气工程与系统科学 2020-04-16 Cui Su , Jun Pang

Boolean networks have been the object of much attention, especially since S. Kauffman proposed them in the 1960's as models for gene regulatory networks. These systems are characterized by being defined on a Boolean state space and by…

分子网络 · 定量生物学 2008-01-30 Winfried Just , German Enciso

Membrane computing and P systems are a paradigm of massively parallel natural computing introduced by Gheorghe P\u{a}un in 1999, inspired by the structure of the living cell and by its biochemical reactions. In spite of this explicit…

形式语言与自动机理论 · 计算机科学 2022-09-01 Artiom Alhazov , Rudolf Freund , Sergiu Ivanov

A number of representation schemes have been presented for use within learning classifier systems, ranging from binary encodings to neural networks. This paper presents results from an investigation into using discrete and fuzzy dynamical…

人工智能 · 计算机科学 2015-01-27 Richard J. Preen , Larry Bull

Phase separation within polymer networks plays a central role in shaping the structure and mechanics of both synthetic materials and living cells, including the formation of biomolecular condensates within cytoskeletal networks. Previous…

软凝聚态物质 · 物理学 2025-12-01 Takahiro Yokoyama , Yicheng Qiang , David Zwicker , Arash Nikoubashman

Characterization of the differences between biological and random networks can reveal the design principles that enable the robust realization of crucial biological functions including the establishment of different cell types. Previous…

分子网络 · 定量生物学 2020-08-26 Shubham Tripathi , David A. Kessler , Herbert Levine

We have uncovered that the non-equilibrium network dynamics and global properties are determined by two essential features: the potential landscape and the flux landscape. We have found that the funneled potential landscape is crucial for…

生物物理 · 物理学 2017-11-01 Xiaosheng Luo , Liufang Xu , Jin Wang

The rapidly developing theory of complex networks indicates that real networks are not random, but have a highly robust large-scale architecture, governed by strict organizational principles. Here, we focus on the properties of biological…

分子网络 · 定量生物学 2007-05-23 E. Almaas , A. -L. Barabasi

The preliminary analyses on a multiscale model of intestinal crypt dynamics are here presented. The model combines a morphological model, based on the Cellular Potts Model (CPM), and a gene regulatory network model, based on Noisy Random…

计算工程、金融与科学 · 计算机科学 2013-10-01 Giulio Caravagna , Alex Graudenzi , Marco Antoniotti , Giovanni de Matteis