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Development of resistance limits efficiency of present anticancer therapies and preventing it remains big challenge in cancer research. It is accepted, at intuitive level, that the resistance emerges as a consequence of cancer cells…

Quantitative Methods · Quantitative Biology 2015-06-02 Branislav Brutovsky , Denis Horvath

This paper investigates dynamic behaviors of the tumor-immune system perturbed by environmental noise. The model describes the response of the cytotoxic T lymphocyte (CTL) to the growth of an immunogenic tumour. The main methods are…

Probability · Mathematics 2019-02-06 Xiaoyue Li , Guoting Song , Yang Xia , Chenggui Yuan

This study presents a mathematical model that captures the interactions among tumor cells, healthy cells, and immune cells in a tumor-bearing host, with a specific focus on breast cancer. Incorporating the concept of delay, the model…

Quantitative Methods · Quantitative Biology 2026-03-19 Fatemeh Ansarizadeh , Tonghua Zhang

The tumor-immune system plays a critical role in colorectal cancer progression. Recent preclinical and clinical studies showed that combination therapy with anti-PD-L1 and cancer vaccines improved treatment response. In this study, we…

Populations and Evolution · Quantitative Biology 2026-02-06 Chenghang Li , Haifeng Zhang , Xiulan Lai , Jinzhi Lei

Cells can sense and respond to mechanical signals over relatively long distances across fibrous extracellular matrices. Here, we explore all of the key factors that influence long range force transmission in cell-populated collagen…

Biological Physics · Physics 2015-06-22 Hailong Wang , Abhilash Nair , Christopher S. Chen , Rebecca G. Wells , Vivek B. Shenoy

Studying cell morphology changes in time is critical to understanding cell migration mechanisms. In this work, we present a deep learning-based workflow to segment cancer cells embedded in 3D collagen matrices and imaged with phase-contrast…

Computer Vision and Pattern Recognition · Computer Science 2021-12-17 Estibaliz Gómez-de-Mariscal , Hasini Jayatilaka , Özgün Çiçek , Thomas Brox , Denis Wirtz , Arrate Muñoz-Barrutia

In this paper, we propose a new workflow to analyze macrophage motion during wound healing. These immune cells are attracted to the wound after an injury and they move showing both directional and random motion. Thus, first, we smooth the…

Numerical Analysis · Mathematics 2025-03-14 Giulia Lupi , Seol Ah Park , Martin Ambroz , Resul Ozbilgic , Mai Nguyen Chi , Georges Lutfalla , Karol Mikula

In this paper, we investigate a mathematical model describing the interactions between effector cells (E), cancer cells (T), and the IL-2 compound (IL). The model considered here is a generalization, taking into account some cross-diffusion…

Dynamical Systems · Mathematics 2025-12-02 C. F. Munafò , S. Bonfiglio , P. Rogolino

In a mathematical model of interacting biological organisms, where external interventions may alter behavior over time, traditional models that assume fixed parameters usually do not capture the evolving dynamics. In oncology, this is…

Machine Learning · Computer Science 2025-12-18 Kayode Olumoyin , Lamees El Naqa , Katarzyna Rejniak

When confronted with an undesired cell population, such as bacterial infections or tumors, we seek the most effective treatment, designed to eliminate the population as rapidly as possible. A common practice is to monitor the cells…

Biological Physics · Physics 2025-01-23 Uzi Harush , Ravid Straussman , Baruch Barzel

Accurate interaction potentials between microscopic components such as colloidal particles or cells are crucial to understanding a range of processes, including colloidal crystallization, bacterial colony formation, and cancer metastasis.…

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

Purpose: MRI cell tracking can be used to monitor immune cells involved in the immunotherapy response, providing insight into the mechanism of action, temporal progression of tumour growth and individual potency of therapies. To evaluate…

Scope of the present work is to frame into a rigorous, quantitative scaffold - stemmed from stochastic process theory - two sets of experiments designed to infer the spontaneous organization of leukocytes against cancer cells, namely mice…

This work studies the existence of classical solutions to a class of chemotaxis systems reading \[\begin{cases} u_t = \Delta u-\chi \nabla\cdot(u \nabla v) + \mu_1 u^k -\mu_2 u^{k+1}, & \text{in} \; \Omega\times(0,T_{\text{max}}), \\ v_t=…

Analysis of PDEs · Mathematics 2025-04-15 Rafael Díaz Fuentes

Cancer cell migration between different body parts is the driving force behind cancer metastasis, which is the main cause of mortality of patients. Migration of cancer cells often proceeds by penetration through narrow cavities in locally…

Cell Behavior · Quantitative Biology 2023-05-02 Qiyao Peng , Fred J Vermolen , Daphne Weihs

Achieving effective synergy between radiotherapy and immunotherapy is critical for optimizing tumor control and treatment outcomes. To explore the underlying mechanisms of this synergy, we have investigated a novel treatment approach known…

Quantitative Methods · Quantitative Biology 2025-04-23 Yixun Xing , Casey Moore , Debabrata Saha , Dan Nguyen , MaryLena Bleile , Xun Jia , Robert Timmerman , Hao Peng , Steve Jiang

Migration of immune cells within the human body allows them to fulfill their main function of detecting pathogens. Adopting an optimal navigation and search strategy by these cells is of crucial importance to achieve an efficient immune…

Soft Condensed Matter · Physics 2021-01-04 M. Reza Shaebani , Robin Jose , Ludger Santen , Luiza Stankevicins , Franziska Lautenschläger

The tumour microenvironment plays a fundamental role in understanding the development and progression of cancer. This paper proposes a novel spatial point process model that accounts for inhomogeneity and interaction to flexibly model a…

Applications · Statistics 2023-07-13 Jonatan A. González , Paula Moraga

Tumor growth, which plays a central role in cancer evolution, depends on both the internal features of the cells, such as their ability for unlimited duplication, and the external conditions, e.g., supply of nutrients, as well as the…

Biological Physics · Physics 2018-06-19 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi