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A cycle double cover (CDC) of an undirected graph is a collection of the graph's cycles such that every edge of the graph belongs to exactly two cycles. We describe a constructive method for generating all the cubic graphs that have a 6-CDC…

Discrete Mathematics · Computer Science 2009-04-17 Rodrigo S. C. Leao , Valmir C. Barbosa

More than 30 years ago, we published a paper entitled as abnormal chromatin configuration and oncogenesis, which proposed the first hypothesis that links oncogenesis to abnormal three-dimensional (3D) genome structure. Recently, many…

Subcellular Processes · Quantitative Biology 2019-02-07 Gao-De Li

Biomolecular condensates are small droplets forming spontaneously in biological cells via phase separation. They play a role in many cellular processes, but it is unclear how cells control them. Cellular regulation often relies on…

Soft Condensed Matter · Physics 2024-03-15 Jan Kirschbaum , David Zwicker

The transport of macromolecules, such as DNA, through the cytoskeleton is critical to wide-ranging cellular processes from cytoplasmic streaming to transcription. The rigidity and steric hindrances imparted by the network of filaments…

Cell migration is a fundamental process involved in physiological phenomena such as the immune response and morphogenesis, but also in pathological processes, such as the development of tumor metastasis. These functions are effectively…

Cell Behavior · Quantitative Biology 2018-12-26 Christèle Etchegaray , Nicolas Meunier

The focus of pancreatic cancer research has been shifted from pancreatic cancer cells towards their microenvironment, involving pancreatic stellate cells that interact with cancer cells and influence tumor progression. To quantitatively…

Quantitative Methods · Quantitative Biology 2016-06-13 Qinsi Wang , Natasa Miskov-Zivanov , Bing Liu , James R. Faeder , Michael Lotze , Edmund M. Clarke

The growth of many solid tumors has been found to be driven by chemo- and radiotherapy-resistant cancer stem cells (CSCs). A suitable therapeutic avenue in these cases may involve the use of a differentiating agent (DA) to force the…

Tissues and Organs · Quantitative Biology 2023-03-09 Jerónimo Fotinós , Lucas Barberis , Carlos A. Condat

A cell's behavior is a consequence of the complex interactions between its numerous constituents, such as DNA, RNA, proteins and small molecules. Cells use signaling pathways and regulatory mechanisms to coordinate multiple processes,…

Molecular Networks · Quantitative Biology 2007-09-12 Reka Albert

During mitosis, near-spherical chromosomes reconfigure into rod-like structures to ensure their accurate segregation to daughter cells. We explore here, the interplay between the nonequilibrium activity of molecular motors in determining…

Biological Physics · Physics 2025-12-16 Zhiyu Cao , Chaoqun Du , Zhonghuai Hou , Peter G. Wolynes

MicroRNAs (miRNAs) are small endogenous regulatory molecules that modulate gene expression post-transcriptionally. Although differential expression of miRNAs have been implicated in many diseases (including cancers), the underlying…

Genomics · Quantitative Biology 2018-01-09 Gary Wilk , Rosemary Braun

Recently, some authors have shown that a DNA molecule produces electromagnetic signals and communicates with other DNA molecules or other molecules. In fact, a DNA acts like a receiver or transmitter of radio waves. In this paper, we…

Biological Physics · Physics 2018-08-03 Alireza Sepehri

Diffusive molecular communication (DMC) is one of the most promising approaches for realizing nano-scale communications in biological environments for healthcare applications. In this paper, a DMC system in biological cylindrical…

Information Theory · Computer Science 2018-11-27 Mohammad Zoofaghari , Hamidreza Arjmandi

Background: Radiotherapy outcomes are usually predicted using the Linear Quadratic model. However, this model does not integrate complex features of tumor growth, in particular cell cycle regulation. Methods: In this paper, we propose a…

Tissues and Organs · Quantitative Biology 2007-05-23 Benjamin Ribba , Thierry Colin , Santiago Schnell

This paper concerns a model for tumor cell migration through the surrounding extracellular matrix by considering mass balance phenomena involving the chemical interactions produced on the cell surface. The well-posedness of this model is…

Analysis of PDEs · Mathematics 2015-09-03 J. Nieto , L. Urrutia

A general theoretical framework is put forth to organize and understand various observed phenomena and mathematical relationships in the field of molecular biology. By modeling each cell in eukaryotic organisms as a processor having a…

Other Quantitative Biology · Quantitative Biology 2013-12-18 Barry D. Jacobson

In a previous paper we have introduced a phenomenological model of cell metabolism and of the cell cycle to simulate the behavior of large tumor cell populations (Chignola R and Milotti E, Phys. Biol. 2 (2005) 8-22). Here we describe a…

Biological Physics · Physics 2009-11-13 Roberto Chignola , Alessio Del Fabbro , Chiara Dalla Pellegrina , Edoardo Milotti

Timing is of fundamental importance in biology and our life. Borrowing ideas from mechanism, we map our clock signals onto a gear system, in pursuit of better depiction of a clock signal implemented with chemical reaction networks (CRNs).…

Molecular Networks · Quantitative Biology 2018-02-23 Chuan Zhang , Lulu Ge , Xiaohu You

Cells continuously probe their environment with membrane receptors, achieving subsecond adaptation of their behaviour [1-3]. Recently, several receptors, including cadherins, were found to bind ligands with a lifetime of order of one…

Cell Behavior · Quantitative Biology 2007-09-26 Anne Pierres , Anil Prakasam , Dominique Touchard , Anne-Marie Benoliel , Pierre Bongrand , Deborah Leckband

Activation of naive CD8 T-cells can lead to the generation of multiple effector and memory subsets. Multiple parameters associated with activation conditions are involved in generating this diversity that is associated with heterogeneous…

Cell Behavior · Quantitative Biology 2019-03-05 Simon Girel , Christophe Arpin , Jacqueline Marvel , Olivier Gandrillon , Fabien Crauste

Contagion processes have been proven to fundamentally depend on the structural properties of the interaction networks conveying them. Many real networked systems are characterized by clustered substructures representing either collections…

Physics and Society · Physics 2021-06-01 Giulio Burgio , Alex Arenas , Sergio Gómez , Joan T. Matamalas