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Nearly all cell models explicitly or implicitly deal with the biophysical constraints that must be respected for life to persist. Despite this, there is almost no systematicity in how these constraints are implemented, and we lack a…

Cell Behavior · Quantitative Biology 2026-05-20 Connor McShaffrey , Eran Agmon , Randall D. Beer

Tumor development is characterized by a compromised balance between cell life and death decision mechanisms, which are tighly regulated in normal cells. Understanding this process provides insights for developing new treatments for fighting…

Molecular Networks · Quantitative Biology 2013-01-14 Andrei Zinovyev , Simon Fourquet , Laurent Tournier , Laurence Calzone , Emmanuel Barillot

The process of programmed cell death, namely apoptosis, is a natural mechanism that regulates healthy tissue, multicellular structures, and homeostasis. An improved understanding of apoptosis can significantly enhance our knowledge of…

Cell Behavior · Quantitative Biology 2026-03-12 Daniel A. Vaughan , Anna M. Piccinini , Mischa Zelzer , Etienne Farcot , Bindi S. Brook , Kris Van-der-Zee , Luis Espath

Deciphering the control principles of metabolism and its interaction with other cellular functions is central to biomedicine and biotechnology. Yet, understanding the efficient control of metabolic fluxes remains elusive for large-scale…

Molecular Networks · Quantitative Biology 2015-09-04 Georg Basler , Zoran Nikoloski , Abdelhalim Larhlimi , Albert-László Barabási , Yang-Yu Liu

Synthetic biology is a recent area of biological engineering, whose aim is to provide cells with novel functionalities. A number of important results regarding the development of control circuits in synthetic biology have been achieved…

Systems and Control · Electrical Eng. & Systems 2024-11-11 Antón Pardo , Sandra Díaz Seoane , Dorin A. Ionescu , Antonis Papachristodoulou , Alejandro F. Villaverde

Stochastic agent-based models can account for millions of cells with spatiotemporal movement that can be a function of different factors. However, these simulations can be computationally expensive. In this work, we develop a novel…

Numerical Analysis · Mathematics 2019-09-11 Michael A. Yereniuk , Sarah D. Olson

We have developed a coarse-grained formulation for modeling the dynamic behavior of cells quantitatively, based on stochasticity and heterogeneity, rather than on biochemical reactions. We treat each reaction as a continuous-time stochastic…

Molecular Networks · Quantitative Biology 2015-05-28 Shunsuke Teraguchi , Yutaro Kumagai , Alexis Vandenbon , Shizuo Akira , Daron M Standley

Optimization-based models have been used to predict cellular behavior for over 25 years. The constraints in these models are derived from genome annotations, measured macro-molecular composition of cells, and by measuring the cell's growth…

Quantitative Methods · Quantitative Biology 2019-05-21 Laurence Yang , Michael A. Saunders , Jean-Christophe Lachance , Bernhard O. Palsson , José Bento

Cellular responses to death-promoting stimuli typically proceed through a differentiated multistage process, involving a lag phase, extensive death, and potential adaptation. Deregulation of this chain of events is at the root of many…

Cell Behavior · Quantitative Biology 2010-12-03 Jose M. G. Vilar

Simple ideas, endowed from the mathematical theory of control, are used in order to analyze in general grounds the human immune system. The general principles are minimization of the pathogen load and economy of resources. They should…

Tissues and Organs · Quantitative Biology 2016-07-12 Augusto Gonzalez

Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

Systems Biology has emerged in the last years as a new holistic approach based on the global understanding of cells instead of only being focused on their individual parts (genes or proteins), to better understand the complexity of human…

Biological systems are often modeled as a system of ordinary differential equations (ODEs) with time-invariant parameters. However, cell signaling events or pharmacological interventions may alter the cellular state and induce multi-mode…

Quantitative Methods · Quantitative Biology 2020-04-28 Bing Liu

Cell polarity and movement are fundamental to many biological functions. Experimental and theoretically studies have indicated that interactions of certain proteins lead to the cell polarization which plays a key role in controlling the…

Dynamical Systems · Mathematics 2022-08-12 Shuang Liu , Li-Tien Cheng , Bo Li

Living systems self-organize in ways that conventional physical frameworks-based on forces, energies, and continuous fields-cannot fully capture. Processes like gene regulation and cellular decision-making involve rule-based logic and…

Other Quantitative Biology · Quantitative Biology 2025-11-18 Hyun Youk

Mathematical methods provide useful framework for the analysis and design of complex systems. In newer contexts such as biology, however, there is a need to both adapt existing methods as well as to develop new ones. Using a combination of…

Molecular Networks · Quantitative Biology 2017-12-06 Abhishek Dey , Shaunak Sen

Life is a nonequilibrium phenomenon: metabolism provides a continuous supply of energy that drives nearly all cellular processes. However, very little is known about how much energy different cellular processes use, i.e. their energetic…

Biological Physics · Physics 2023-03-29 Easun Arunachalam , William Ireland , Xingbo Yang , Dan Needleman

The diversity of cell populations is regulated by extracellular and intracellular variability. The latter includes genetic, epigenetic and stochastic variability, all contributing to the experimentally observed heterogeneity in response to…

Cell Behavior · Quantitative Biology 2011-01-18 Joanna Skommer , Subhadip Raychaudhuri , Donald Wlodkowic

We investigate a model of cell division in which the length of telomeres within the cell regulate their proliferative potential. At each cell division the ends of linear chromosomes change and a cell becomes senescent when one or more of…

Cell Behavior · Quantitative Biology 2008-04-23 T. Antal , K. B. Blagoev , S. A. Trugman , S. Redner

The work is devoted to the analysis of cell population dynamics where cells make a choice between differentiation and apoptosis. This choice is based on the values of intracellular proteins whose concentrations are described by a system of…

Cell Behavior · Quantitative Biology 2016-03-30 Malay Banerjee , Vitaly Volpert
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