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Despite growth being fundamental to all aspects of cell biology, we do not yet know its organizing principles in eukaryotic cells. Classic models derived from the bacteria E. coli posit that protein-synthesis rates are set by mass-action…

Populations and Evolution · Quantitative Biology 2025-08-22 Xin Gao , Michael Lanz , Rosslyn Grosely , Jonas Cremer , Joseph Puglisi , Jan M. Skotheim

We generalize a model of growth over a disordered environment, to a large class of It\=o processes. In particular, we study how the microscopic properties of the noise influence the macroscopic growth rate. The present model can account for…

Populations and Evolution · Quantitative Biology 2017-04-26 Thomas Gueudré

Cells maintain a stable size as they grow and divide. Inspired by the available experimental data, most proposed models for size homeostasis assume size control mechanisms that act on a timescale of one generation. Such mechanisms lead to…

Biological Physics · Physics 2023-05-25 Motasem ElGamel , Harsh Vashistha , Hanna Salman , Andrew Mugler

Uncovering the quantitative laws that govern the growth and division of single cells remains a major challenge. Using a unique combination of technologies that yields unprecedented statistical precision, we find that the sizes of individual…

A novel mechanism for cell differentiation is proposed, based on the dynamic clustering in a globally coupled chaotic system. A simple model with metabolic reaction, active transport of chemicals from media, and cell division is found to…

adap-org · Physics 2009-10-22 Kunihiko Kaneko , Tetsuya Yomo

Groups of cells, including clusters of cancerous cells, multicellular organisms, and developing organs, may both grow and break apart. What physical factors control these fractures? In these processes, what sets the eventual size of…

Biological Physics · Physics 2026-04-03 Wei Wang , Brian A. Camley

Understanding how growth induces form is a longstanding biological question. Many studies concentrated on the shapes of plant cells, fungi or bacteria. Some others have shown the importance of the mechanical properties of bacterial walls…

Biological Physics · Physics 2007-05-23 Arezki Boudaoud

A general theory is developed for the evolution of the cell order (CO) distribution in planar granular systems. Dynamic equations are constructed and solved in closed form for several examples: systems under compression; dilation of very…

Soft Condensed Matter · Physics 2019-09-27 Clara C. Wanjura , Paula Gago , Takashi Matsushima , Raphael Blumenfeld

A major challenge in synthetic genetic circuit development is the inter-dependency between heterologous gene expressions by circuits and host's growth rate. Increasing heterologous gene expression increases burden to the host, resulting in…

Molecular Networks · Quantitative Biology 2023-02-21 Huijuan Wang , Maurice HT Ling , Tze Kwang Chua , Chueh Loo Poh

We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population. We formulate such question as an inverse problem for an…

Analysis of PDEs · Mathematics 2009-11-11 Benoit Perthame , Jorge P. Zubelli

In contrast to conventional artificial neural networks, which are structurally static, we present two approaches for evolving small networks into larger ones during training. The first method employs an auxiliary weight that directly…

Machine Learning · Computer Science 2025-07-29 Anil Radhakrishnan , John F. Lindner , Scott T. Miller , Sudeshna Sinha , William L. Ditto

We study a stochastic model for tumor cell growth with both multiplicative and additive colored noise as well as a non-zero cross-correlations in between. Whereas the death rate within the logistic model is altered by a deterministic term…

Cell Behavior · Quantitative Biology 2015-05-13 Thomas Bose , Steffen Trimper

Experiments were performed to test the effect of an electric field on growing E-coli cultures. Cell growing dishes were fitted with platinum wires to create a potential drop across the dish. Water diluted E-coli cultures were brushed across…

Biological Physics · Physics 2017-09-11 Eshel Faraggi

The activity of growing living bacteria was investigated using real-time and in situ rheology -- in stationary and oscillatory shear. Two different strains of the human pathogen Staphylococcus aureus -- strain COL and its isogenic cell wall…

Biological Physics · Physics 2015-06-19 P. Patricio , P. L. Almeida , R. Portela , R. G. Sobral , I. R. Grilo , T. Cidade , C. R. Leal

Colonies of rod-shaped bacteria constitute a system of colloidal active matter with nematic properties. As a single initial bacterium multiplies through repeated divisions, the resulting colony quickly loses long-range orientational order,…

Various bacterial strains exhibit colonial branching patterns during growth on poor substrates. These patterns reflect bacterial cooperative self-organization and cybernetic processes of communication, regulation and control employed during…

Condensed Matter · Physics 2015-06-25 Ido Golding , Yonathan Kozlovsky , Inon Cohen , Eshel Ben-Jacob

We develop a simple computational model for cell boundary evolution in plastic deformation. We study the cell boundary size distribution and cell boundary misorientation distribution that experimentally have been found to have scaling forms…

Materials Science · Physics 2013-05-29 James P. Sethna , Valerie R. Coffman , Eugene Demler

It has been recently shown that the exponential growth rate of a population of bacterial cells starting from a single cell shows transient oscillations due to early synchronized bursts of division. These oscillations are enhanced by cell…

Populations and Evolution · Quantitative Biology 2024-08-05 Yaïr Hein , Farshid Jafarpour

This paper argues that continual learning methods can benefit by splitting the capacity of the learner across multiple models. We use statistical learning theory and experimental analysis to show how multiple tasks can interact with each…

Machine Learning · Computer Science 2024-05-07 Rahul Ramesh , Pratik Chaudhari

Growing living cultures of Escherichia coli bacteria were investigated using real-time in situ rheology and rheo-imaging measurements. In the early stages of growth (lag phase), and when subjected to a constant stationary shear, the…

Biological Physics · Physics 2016-12-21 R. Portela , P. Patrício , P. L. Almeida , R. G. Sobral , J. M. Franco , C. R. Leal
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