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We propose a dynamical system of tumor cells proliferation based on operatorial methods. The approach we propose is quantum-like: we use ladder and number operators to describe healthy and tumor cells birth and death, and the evolution is…

Other Quantitative Biology · Quantitative Biology 2018-05-09 F. Bagarello , F. Gargano

In this paper we present an individual-based mechanical model that describes the dynamics of two contiguous cell populations with different proliferative and mechanical characteristics. An off-lattice modelling approach is considered…

Analysis of PDEs · Mathematics 2020-01-14 Tommaso Lorenzi , Philip J. Murray , Mariya Ptashnyk

The traditional methods of the biology, based on illustrative descriptions and linear logic explanations, are discussed. This work aims to improve this approach by introducing alternative tools to describe and represent complex biological…

Computational Engineering, Finance, and Science · Computer Science 2012-01-24 Alvaro Juan Ojeda Garcia

We propose a new theory for aging based on dynamical systems and provide a data-driven computational method to quantify the changes at the cellular level. We use ergodic theory to decompose the dynamics of changes during aging and show that…

Quantitative Methods · Quantitative Biology 2025-04-18 Farhan Khodaee , Rohola Zandie , Yufan Xia , Elazer R. Edelman

Basic problems for the construction of a scenario for the Life are discussed. To study the problems in terms of dynamical systems theory, a scheme of intra-inter dynamics is presented. It consists of internal dynamics of a unit, interaction…

adap-org · Physics 2015-06-24 Kunihiko Kaneko

We introduce a stochastic cellular automaton as a model for culture and border formation. The model can be conceptualized as a game where the expansion rate of cultures is quantified in terms of their area and perimeter in such a way that…

Physics and Society · Physics 2023-11-09 Frederik Ravn Klausen , Asbjørn Bækgaard Lauritsen

To maintain homeostasis, living cells process information with networks of interacting molecules. Traditional models for cellular information processing have focused on networks of chemical reactions between molecules. Here, we describe how…

Biological Physics · Physics 2025-08-01 Arvind Murugan , David Zwicker , Charlotta Lorenz , Eric R. Dufresne

We introduce a general theoretical framework to study the shape dynamics of actively growing and remodeling surfaces. Using this framework we develop a physical model for growing bacterial cell walls and study the interplay of cell shape…

Biological Physics · Physics 2016-04-08 Shiladitya Banerjee , Norbert F. Scherer , Aaron R. Dinner

Cell size is a fundamental determinant of cellular physiology, influencing processes such as growth, division, and function. In this study, we develop a segmented mathematical framework to investigate how different control mechanisms…

Cell Behavior · Quantitative Biology 2026-02-02 Shuqi Fan , Yuhang Zhang , Jinzhi Lei

The thermodynamic (TD) properties of biological membranes play a central role for living systems. It has been suggested, for instance, that nonlinear pulses such as action potentials (APs) can only exist if the membrane state is in vicinity…

Biological Physics · Physics 2020-07-16 Christian Fillafer , Anne Paeger , Matthias F. Schneider

We present a general computational theory of stem cell networks and their developmental dynamics. Stem cell networks are special cases of developmental control networks. Our theory generates a natural classification of all possible stem…

Other Quantitative Biology · Quantitative Biology 2016-07-18 Eric Werner

The fundamental understanding of how cells physically interact with each other and their environment is key to understanding their organisation in living tissues. Over the past decades several computational methods have been developed to…

Quantitative Methods · Quantitative Biology 2026-01-22 Paul Van Liedekerke , Jiří Pešek , Kevin Alessandri , Dirk Drasdo

\noindent The modal age at death is an increasingly used measure for understanding longevity and mortality patterns. However, existing estimation methods focus on point estimates, overlooking the inherent variability and uncertainty in…

Applications · Statistics 2025-10-07 Silvio C. Patricio , Paola Vazquez-Castillo

For various species of biological cells, experimental observations indicate the existence of universal distributions of the cellular size, scaling relations between the cell-size moments and simple rules for the cell-size control. We…

Soft Condensed Matter · Physics 2017-01-12 David A. Kessler , Stanislav Burov

We describe a percolation-type approach to modeling of the processes of aging and certain other properties of tissues analyzed as systems consisting of interacting cells. Tissues are considered as structures made of regular healthy,…

Statistical Mechanics · Physics 2016-01-28 Vladimir Privman , Vyacheslav Gorshkov , Sergiy Libert

A major goal of modern computational biology is to simulate the collective behaviour of large cell populations starting from the intricate web of molecular interactions occurring at the microscopic level. In this paper we describe a…

Biological Physics · Physics 2007-05-23 Roberto Chignola , Edoardo Milotti

Cell decision-making refers to the process by which cells gather information from their local microenvironment and regulate their internal states to create appropriate responses. Microenvironmental cell sensing plays a key role in this…

Biological Physics · Physics 2023-04-19 Arnab Barua , Haralampos Hatzikirou

Cellular development follows a stochastic yet rule-governed trajectory, though the underlying principles remain elusive. Here, we propose that cellular development follows paths of least action, aligning with foundational physical laws that…

Biological Physics · Physics 2025-04-14 Rohola Zandie , Farhan Khodaee , Yufan Xia , Elazer R. Edelman

The minimal requirements for life are autopoiesis and cognition. We propose autopoietic models with cognition and perform three classes of evolutionary simulation. In our models the plasticity of the metabolic cycle and the regulation…

Cell Behavior · Quantitative Biology 2015-12-29 Hirotaka Matsufuji , Osamu Narikiyo

How self-organized networks develop, mature and degenerate is a key question for sociotechnical, cyberphysical and biological systems with potential applications from tackling violent extremism through to neurological diseases. So far, it…

Physics and Society · Physics 2017-06-05 M. Zheng , Z. Cao , Y. Vorobyeva , P. Manrique , C. Song , N. F. Johnson
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