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Progress in our knowledge of tumor mechanisms and complexity led to the understanding of the physical parameters of cancer cells and their microenvironment, including the mechanical, thermal, and electrical properties, solid stress, and…

Background: Analysing tumour architecture for metastatic potential usually focuses on phenotypic differences due to cellular morphology or specific genetic mutations, but often ignore the cell's position within the heterogeneous…

Populations and Evolution · Quantitative Biology 2015-01-23 Artem Kaznatcheev , Jacob G. Scott , David Basanta

Cancer is increasingly perceived as a systems-level, network phenomenon. The major trend of malignant transformation can be described as a two-phase process, where an initial increase of network plasticity is followed by a decrease of…

The proliferation and migration dichotomy of the tumor cell invasion is examined within a two-component continuous time random walk (CTRW) model. The balance equations for the cancer cells of two phenotypes with random switching between…

Cell Behavior · Quantitative Biology 2009-11-13 Sergei Fedotov , Alexander Iomin

During embryonic development, regeneration and homeostasis, cells have to physically integrate into their target tissues, where they ultimately execute their function. Despite a significant body of research on how mechanical forces instruct…

Cell migration is a fundamental process underlying the survival and function of both unicellular and multicellular organisms. Crawling motility in eukaryotic cells arises from cyclic protrusion and retraction driven by the cytoskeleton,…

Biological Physics · Physics 2025-11-04 Blaž Ivšić , Igor Weber , Piotr Nowakowski , Ana-Sunčana Smith

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

Brain-related experiments are limited by nature, and so biological insights are often restricted or absent. This is particularly problematic in the context of brain cancers, which have very poor survival rates. To generate and test new…

Dynamical Systems · Mathematics 2021-08-10 Szabolcs Suveges , Kismet Hossain-Ibrahim , J. Douglas Steele , Raluca Eftimie , Dumitru Trucu

The tumor microenvironment (TME) plays a critical role in cancer cell proliferation, invasion, and resistance to therapy. A principal component of the TME is the tumor immune microenvironment (TIME), which includes various immune cells such…

Cell Behavior · Quantitative Biology 2024-05-30 Mobina Tousian , Christian Solis Calero , Julio Cesar Perez Sansalvador

The shape that stem cells reach at the end of adhesion process influences their differentiation. Rearrangement of cytoskeleton and modification of intracellular tension may activate mechanotransduction pathways controlling cell commitment.…

In the study of cancer evolution and therapeutic strategies, scientific evidence shows that a key dynamics lies in the tumor-environment interaction. In particular, oxygen concentration plays a central role in the determination of the…

Populations and Evolution · Quantitative Biology 2023-07-20 Giulia Chiari , Giada Fiandaca , Marcello Edoardo Delitala

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

Through mechanical forces, biological cells remodel the surrounding collagen network, generating striking deformation patterns. Tethers-tracts of high densification and fiber alignment-form between cells, thinner bands emanate from cell…

Constructing physical models of living cells and tissues is an extremely challenging task because of the high complexities of both intra- and intercellular processes. In addition, the force that a single cell generates vanishes in total due…

Soft Condensed Matter · Physics 2019-05-09 Mitsusuke Tarama , Kenji Mori , Ryoichi Yamamoto

Reversibility of state transitions is intensively studied topic in many scientific disciplines over many years. In cell biology, it plays an important role in epigenetic variation of phenotypes, known as phenotypic plasticity. More…

Populations and Evolution · Quantitative Biology 2018-05-23 Denis Horvath , Branislav Brutovsky

We propose a non-local model for contact guidance and steric hindrance depending on a single external cue, namely the extracellular matrix, that affects in a twofold way the polarization and speed of motion of the cells. We start from a…

Cell Behavior · Quantitative Biology 2022-07-06 Martina Conte , Nadia Loy

The phenomenological model for cell shape deformation and cell migration (Chen et.al. 2018; Vermolen and Gefen 2012) is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell…

Cell Behavior · Quantitative Biology 2021-04-27 Qiyao Peng , Fred Vermolen , Daphne Weihs

Highly malignant brain tumors such as Glioblastoma Multiforme (GBM) form complex growth patterns in vitro in which invasive cells organize in tenuous branches. Here, we formulate a chemotaxis model for this sort of growth. A key element…

Biological Physics · Physics 2009-11-07 Leonard M. Sander , Thomas S. Deisboeck

Starting from a mesoscopic description of cell migration and intraspecific interactions we obtain by upscaling an effective reaction-difusion-taxis equation for the cell population density involving spatial nonlocalities in the source term…

Analysis of PDEs · Mathematics 2023-07-31 Maria Eckardt , Christina Surulescu

We present and analyze new multi-species phase-field mathematical models of tumor growth and ECM invasion. The local and nonlocal mathematical models describe the evolution of volume fractions of tumor cells, viable cells (proliferative and…

Analysis of PDEs · Mathematics 2020-02-20 Marvin Fritz , Ernesto A. B. F. Lima , Vanja Nikolić , J. Tinsley Oden , Barbara Wohlmuth
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