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Related papers: Circadian rhythm and cell population growth

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Despite recent advances in the field of Oncoimmunology, the success potential of immunomodulatory therapies against cancer remains to be elucidated. One of the reasons is the lack of understanding on the complex interplay between tumor…

Tissues and Organs · Quantitative Biology 2015-07-24 A. I. Reppas , J. C. L. Alfonso , H. Hatzikirou

Although optimal control theory has been used for the theoretical study of anti-cancerous drugs scheduling optimization, with the aim of reducing the primary tumor volume, the effect on metastases is often ignored. Here, we use a previously…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Philip Hahnfeldt

Very recently, the National Toxicology Program reported a correlation between exposure to whole body 900 MHz radiofrequency radiation and cancer in the brains and hearts of Sprague Dawley male rats. This paper proposes the following…

Tissues and Organs · Quantitative Biology 2017-07-20 Bernard J. Feldman

The cyanobacterium Synechococcus elongatus uses both a protein phosphorylation cycle and a transcription-translation cycle to generate circadian rhythms that are highly robust against biochemical noise. We use stochastic simulations to…

Molecular Networks · Quantitative Biology 2012-02-16 David Zwicker , David K. Lubensky , Pieter Rein ten Wolde

Circadian oscillation provides selection advantages through synchronization to the daylight cycle. However, a reliable clock must be designed through two conflicting properties: entrainability to synchronize internal time with periodic…

Biological Physics · Physics 2013-12-23 Yoshihiko Hasegawa , Masanori Arita

Collective cell movement, characterized by multiple cells that are in contact for substantial periods of time and undergo correlated motion, plays a central role in cancer and embryogenesis. Recent imaging experiments have provided…

Biological Physics · Physics 2020-06-03 Sumit Sinha , Abdul N Malmi-Kakkada , Xin Li , Himadri S. Samanta , D. Thirumalai

Motivated by experimental observations, we develop a mathematical model of chemotactically directed tumor growth. We present an analytical study of the model as well as a numerical one. The mathematical analysis shows that: (i) tumor cell…

Biological Physics · Physics 2009-11-11 Mario Castro , Carmen Molina-Paris , Thomas s. Deisboeck

One of the mechanisms that ensure cancer robustness is tumor heterogeneity, and its effects on tumor cells dynamics have to be taken into account when studying cancer progression. There is no unifying theoretical framework in mathematical…

Tissues and Organs · Quantitative Biology 2007-05-23 Georgy P. Karev , Artem S. Novozhilov , Eugene V. Koonin

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

Dynamical Systems · Mathematics 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

Circadian rhythms are endogenous 24-hour oscillations that regulate physiology, metabolism, sleep-wake cycles, and cellular homeostasis. Drosophila melanogaster, a genetically tractable model organism, has played a foundational role in…

Molecular Networks · Quantitative Biology 2025-12-04 Yasmin Fatima , Md. Zubair Malik , Prashant Ankur Jain

We investigate the dynamics of a nonlinear system modeling tumor growth with drug application. The tumor is viewed as a mixture consisting of proliferating, quiescent and dead cells as well as a nutrient in the presence of a drug. The…

Analysis of PDEs · Mathematics 2015-06-22 Donatella Donatelli , Konstantina Trivisa

Single-cell experiments revealed substantial variability in generation times, growth rates but also in birth and division sizes between genetically identical cells. Understanding how these fluctuations determine the fitness of the…

Populations and Evolution · Quantitative Biology 2025-03-24 Arthur Genthon

The gene networks that comprise the circadian clock modulate biological function across a range of scales, from gene expression to performance and adaptive behaviour. The clock functions by generating endogenous rhythms that can be…

Molecular Networks · Quantitative Biology 2012-10-25 Ozgur Akman , Steven Watterson , Andrew Parton , Nigel Binns , Andrew Millar , Peter Ghazal

Introduction: Circadian rhythm disruption has garnered significant attention for its adverse effects on human health, particularly in reproductive medicine and fetal well-being. Assessing pregnancy health often relies on diagnostic markers…

In this article a generalized mathematical model describing the interactions between malignant tumour and immune system with discrete time delay incorporated into the system is considered. Time delay represents the time required to generate…

Tissues and Organs · Quantitative Biology 2015-11-05 Monika Joanna Piotrowska

Understanding how microenvironmental heterogeneity influences tumor progression is essential for advancing both cancer biology and therapeutic strategies. In this study, we develop a cellular automata (CA) model to simulate tumor growth…

Cell Behavior · Quantitative Biology 2026-01-26 Yue Deng , Mingjing Li , Jinzhi Lei

How are granular details of stochastic growth and division of individual cells reflected in smooth deterministic growth of population numbers? We provide an integrated, multiscale perspective of microbial growth dynamics by formulating a…

The competition between cancer cells and immune system cells in inhomogeneous conditions is described at cell scale within the framework of the thermostatted kinetic theory. Cell learning is reproduced by increased cell activity during…

Cell Behavior · Quantitative Biology 2021-04-29 Léon Masurel , Carlo Bianca , Annie Lemarchand

Nearly all living organisms, including some bacterial species, exhibit biological processes with a period of about 24 h called circadian (from the Latin circa, about, dies, day) rhythms. These rhythms allow living organisms to anticipate…

Populations and Evolution · Quantitative Biology 2013-11-22 Guadalupe Cascallares , Pablo M. Gleiser
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