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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

We consider the decision making by mammalian cells, looking them as dynamic systems with rhythms. We calculate the effective dimension of the cell division model of the healthy mammalian cells consistent with the data: it is described via a…

Cell Behavior · Quantitative Biology 2015-12-18 David B. Saakian

The tumor microenvironment (TME) significantly impacts cancer prognosis due to its immune composition. While therapies for altering the immune composition, including immunotherapies, have shown exciting results for treating hematological…

Quantitative Methods · Quantitative Biology 2023-10-17 Zitong Jerry Wang , Alexander M. Xu , Aman Bhargava , Matt W. Thomson

In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary characteristics of cancer evolution. Specifically, we focus on…

Dynamical Systems · Mathematics 2023-03-21 Marvin Fritz

A dynamical system model for tumor -- immune system interaction together with a method to mimic radiation therapy are proposed. A large population of virtual patients is simulated following an ideal radiation treatment. A characteristic…

Populations and Evolution · Quantitative Biology 2007-06-28 O. Sotolongo-Grau , D. Rodriguez-Perez , J. A. Santos-Miranda , O. Sotolongo-Costa , J. C. Antoranz

CAR-T cell therapies have demonstrated significant success in treating B-cell leukemia in children and young adults. However, their effectiveness in treating B-cell lymphomas has been limited. Unlike leukemia, lymphoma often manifests as…

Populations and Evolution · Quantitative Biology 2024-09-04 Soukaina Sabir , Odelaisy León-Triana , Sergio Serrano , Roberto Barrio , Victor M. Pérez-García

The study of the interactions of living adherent cells with mechanically stable (visco)elastic materials enables understanding and exploiting physiological phenomena mediated by cell-extracellular communication. However, insight on the…

This work presents a new mathematical model to depict the effect of obesity on cancerous tumor growth when chemotherapy as well as immunotherapy have been administered. We consider an optimal control problem to destroy the tumor population…

Optimization and Control · Mathematics 2018-12-26 Tuğba Akman Yıldız , Sadia Arshad , Dumitru Baleanu

Multicellular chemotaxis can occur via individually chemotaxing cells that are mechanically coupled. Alternatively, it can emerge collectively, from cells chemotaxing differently in a group than they would individually. Here we consider…

Biological Physics · Physics 2017-11-01 Julien Varennes , Sean Fancher , Bumsoo Han , Andrew Mugler

In this paper, a reaction-diffusion system modeling injection of a chemotherapeutic drug on the surface of a living tissue during a treatment for cancer patients is studied. The system describes the interaction of the chemotherapeutic drug…

Analysis of PDEs · Mathematics 2024-08-20 Jeff Morgan , Bao Quoc Tang , Hong-Ming Yin

Initiation and development of a malignant tumor is a complex phenomenon that has critical stages determining its long time behavior. This phenomenon is mathematically described by means of various models: from simple heuristic models to…

Populations and Evolution · Quantitative Biology 2020-03-23 Yuri Kozitsky , Krzysztof Pilorz

Tumor cells invade individually or in groups, mediated by mechanical interactions between cells and their surrounding matrix. These multicellular dynamics are reminiscent of leader-follower coordination and epithelial-mesenchymal…

Cell Behavior · Quantitative Biology 2022-06-28 Alex M. Hruska , Haiqian Yang , Susan E. Leggett , Ming Guo , Ian Y. Wong

We consider the problem of the long time dynamics for a diffuse interface model for tumor growth. The model describes the growth of a tumor surrounded by host tissues in the presence of a nutrient and consists in a Cahn-Hilliard-type…

Analysis of PDEs · Mathematics 2018-10-30 Alain Miranville , Elisabetta Rocca , Giulio Schimperna

The immune response is a dynamic process by which the body determines whether an antigen is self or nonself. The state of this dynamic process is defined by the relative balance and population of inflammatory and regulatory actors which…

The immunological synapse is a patterned collection of different types of receptors and ligands that forms in the intercellular junction between T Cells and antigen presenting cells (APCs) during recognition. The synapse is implicated in…

Soft Condensed Matter · Physics 2009-11-10 Subhadip Raychaudhuri , Arup K. Chakraborty , Mehran Kardar

This paper investigates cells proliferation dynamics in small tumor cell aggregates using an individual based model (IBM). The simulation model is designed to study the morphology of the cell population and of the cell lineages as well as…

The intratumor heterogeneity has been recognized to characterize cancer cells impairing the efficacy of cancer treatments. We here propose an extension of constraint-based modeling approach in order to simulate metabolism of cell…

Quantitative Methods · Quantitative Biology 2016-07-18 M. Di Filippo , C. Damiani , R. Colombo , D. Pescini , G. Mauri

The cellular adaptive immune response plays a key role in resolving influenza infection. Experiments where individuals are successively infected with different strains within a short timeframe provide insight into the underlying viral…

Populations and Evolution · Quantitative Biology 2016-11-24 Ada W. C. Yan , Pengxing Cao , Jane M. Heffernan , Jodie McVernon , Kylie M. Quinn , Nicole L. La Gruta , Karen L. Laurie , James M. McCaw

Movement behavior of biological entities plays a crucial role in their destiny through regulating their intraspecific and interspecific interactions as well as their interaction with surrounding environment. In spite of various models for…

Tissues and Organs · Quantitative Biology 2017-11-10 Youness Azimzade

The formation of gaps in the endothelium is a crucial process underlying both cancer and immune cell extravasation, contributing to the functioning of the immune system during infection, the unfavorable development of chronic inflammation…

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