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Understanding cancer cell differentiation is essential for advancing its detection, diagnosis, and treatment. Mathematical models significantly contribute to this by providing a theoretical framework to understand the complex interactions…

Tissues and Organs · Quantitative Biology 2025-08-18 Marcela V. Reale , Gustavo Paccosi , David H. Margarit , Lilia Romanelli

The intensity and energy spectrum of galactic cosmic rays in the heliosphere are significantly influenced by the 11-year solar cycle, a phenomenon known as solar modulation. Understanding this effect and its underlying physical mechanisms…

Instrumentation and Methods for Astrophysics · Physics 2025-08-26 David Pelosi , Fernando Barão , Bruna Bertucci , Francesco Faldi , Emanuele Fiandrini , Alejandro Reina Conde , Miguel Orcinha , Nicola Tomassetti

We construct a model of cell reprogramming (the conversion of fully differentiated cells to a state of pluripotency, known as induced pluripotent stem cells, or iPSCs) which builds on key elements of cell biology viz. cell cycles and cell…

Cell Behavior · Quantitative Biology 2017-09-25 R Hannam , A Annibale , R Kuehn

The epigenetic pathway of a cell as it differentiates from a stem cell state to a mature lineage-committed one has been historically understood in terms of Waddington's landscape, consisting of hills and valleys. The smooth top and…

Cell Behavior · Quantitative Biology 2013-06-12 Mithun K. Mitra , Paul R. Taylor , Chris J. Hutchison , T. C. B. McLeish , Buddhapriya Chakrabarti

The knowledge of cell molecular mechanisms implicated in human diseases is expanding and should be converted into guidelines for deciphering pathological cell signaling and suggesting appropriate treatment. The basic assumption is that…

Molecular Networks · Quantitative Biology 2015-12-17 Inna Kuperstein

System dynamics and agent based simulation models can both be used to model and understand interactions of entities within a population. Our modeling work presented here is concerned with understanding the suitability of the different types…

Computational Engineering, Finance, and Science · Computer Science 2013-06-27 Grazziela P. Figueredo , Uwe Aickelin

The activation of a specific immune response takes place in the lymphoid organs such as the spleen. We present here a simplified model of the proliferation of specific immune cells in the form of a single delay equation. We show that the…

Dynamical Systems · Mathematics 2010-07-02 Angela Gallegos , Ami Radunskaya

Low grade gliomas (LGGs) are a group of primary brain tumors usually encountered in young patient populations. These tumors represent a difficult challenge because many patients survive a decade or more and may be at a higher risk for…

The kinetic energy distribution of D$^+$ ions resulting from the interaction of a femtosecond laser pulse with D$_2$ molecules is calculated based on the rescattering model. From analyzing the molecular dynamics, it is shown that the…

Atomic Physics · Physics 2009-11-10 X. M. Tong , Z. X. Zhao , C. D. Lin

Delayed processes are ubiquitous in biological systems and are often characterized by delay differential equations (DDEs) and their extension to include stochastic effects. DDEs do not explicitly incorporate intermediate states associated…

Quantitative Methods · Quantitative Biology 2016-09-28 Jingchen Feng , Stuart Sevier , Bin Huang , Dongya Jia , Herbert Levine

We propose a multi-scale approach to understand the physics related to ion-beam cancer therapy. It allows the calculation of the probability of DNA damage as a result of irradiation of tissues with energetic ions, up to 430 MeV/u. This…

Biological Physics · Physics 2009-11-13 Andrey V. Solov'yov , Eugene Surdutovich , Emanuele Scifoni , Igor Mishustin , Walter Grainer

Tumors constitute a wide family of diseases kinetically characterized by the co-presence of multiple spatio-temporal scales. So, tumor cells ecologically interplay with other kind of cells, e.g. endothelial cells or immune system effectors,…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Giulio Caravagna , Alex Graudenzi , Marco Antoniotti , Giancarlo Mauri , Alberto d'Onofrio

Purpose: Recent studies suggest ultra-high dose rate (FLASH) irradiation can spare normal tissues from radiotoxicity, while efficiently controlling the tumor, and this is known as the FLASH effect. This study performed theoretical analyses…

Medical Physics · Physics 2021-09-02 Hongyu Zhu , Junli Li , Xiaowu Deng , Rui Qiu , Zhen Wu , Hui Zhang

We describe the results of experiments and simulations performed with the aim of extending photoelectron spectroscopy with intense laser pulses to the case of molecular compounds. Dimer frame photoelectron angular distributions generated by…

Inter-cycle variations in the series of 11-year solar activity cycles have a significant impact on both the space environment and climate. Whether solar cycle variability is dominated by deterministic chaos or stochastic perturbations…

Solar and Stellar Astrophysics · Physics 2025-05-12 Zi-Fan Wang , Jie Jiang , Jing-Xiu Wang

Cell polarization plays a central role in the development of complex organisms. It has been recently shown that cell polarization may follow from the proximity to a phase separation instability in a bistable network of chemical reactions.…

Statistical Mechanics · Physics 2009-03-24 A. Gamba , I. Kolokolov , V. Lebedev , G. Ortenzi

Cells of the immune system are confronted with opposing pro- and anti-inflammatory signals. Dendritic cells (DC) integrate these cues to make informed decisions whether to initiate an immune response. Confronted with exogenous microbial…

Molecular Networks · Quantitative Biology 2020-11-20 Quentin Marcou , Irit Carmi-Levy , Coline Trichot , Vassili Soumelis , Thierry Mora , Aleksandra M. Walczak

Although the survival rate of cancer patients has significantly increased due to advances in anti-cancer therapeutics, one of the major side effects of these therapies, particularly radiotherapy, is the potential manifestation of…

Quantitative Methods · Quantitative Biology 2014-11-07 Kamran Kaveh , Venkata S. K. Manem , Mohammad Kohandel , Siv Sivaloganathan

During wound healing, fish keratocyte cells undergo galvanotaxis where they follow a wound-induced electric field. In addition to their stereotypical persistent motion, keratocytes can develop circular motion without a field or oscillate…

Biological Physics · Physics 2024-12-17 Ifunanya Nwogbaga , Brian A. Camley

Using a multi-phase field model, we examine how particle deformability, which is a proxy for cell stiffness, affects motility induced phase separation (MIPS). We show that purely repulsive deformable, i.e., squishy, cells phase separate…

Soft Condensed Matter · Physics 2025-02-12 Austin Hopkins , Benjamin Loewe , Michael Chiang , Davide Marenduzzo , M. Cristina Marchetti