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In this study, we develop consistent estimators for key parameters that govern the dynamics of tumor cell populations when subjected to pharmacological treatments. While these treatments often lead to an initial reduction in the abundance…

应用统计 · 统计学 2024-03-21 Kevin Leder , Ruping Sun , Zicheng Wang , Xuanming Zhang

This paper introduces a continuous model for Multi-cellular Developmental Design. The cells are fixed on a 2D grid and exchange "chemicals" with their neighbors during the growth process. The quantity of chemicals that a cell produces, as…

人工智能 · 计算机科学 2007-05-23 Alexandre Devert , Nicolas Bredèche , Marc Schoenauer

Despite significant medical advancements, cancer remains the second leading cause of death, with over 600,000 deaths per year in the US. One emerging field, pathway analysis, is promising but still relies on manually derived wet lab data,…

机器学习 · 计算机科学 2025-09-17 Rishab Parthasarathy , Achintya Bhowmik

We present a model for the interaction dynamics of lymphocytes-tumor cells population. This model reproduces all known states for the tumor. Futherly,we develop it taking into account periodical immunotheraphy treatment with cytokines…

Cancer cells can acquire a spectrum of stable hybrid epithelial/mesenchymal (E/M) states during epithelial-mesenchymal transition (EMT). Cells in these hybrid E/M phenotypes often combine epithelial and mesenchymal features and tend to…

Recently, we have proposed a nutrient-limited model for the avascular growth of tumors including cell proliferation, motility and death \cite{jr}, that, qualitatively reproduces commonly observed morphologies for carcinomas {\it in situ}.…

凝聚态物理 · 物理学 2009-11-07 S. C. Ferreira , M. L. Martins , M. J. Vilela

Heterogeneity in characteristics from one region (sub-population) to another, commonly observed in complex systems, such as glasses and a collection of cells, is hard to describe theoretically. In the context of cancer, intra-tumor…

软凝聚态物质 · 物理学 2022-02-23 Sumit Sinha , Xin Li , Dave Thirumalai

Investigating the emergence of a particular cell type is a recurring theme in models of growing cellular populations. The evolution of resistance to therapy is a classic example. Common questions are: when does the cell type first occur,…

种群与进化 · 定量生物学 2019-06-19 Michael D. Nicholson , Tibor Antal

Chimeric antigen receptor (CAR) T cell therapy is revolutionizing the treatment of blood cancers. Mathematical models that can predict the effectiveness of immunotherapies such as CAR T are of increasing interest due to their ability to…

系统与控制 · 电气工程与系统科学 2024-11-13 Raffaele Romagnoli

Stem cells have the potential to produce lineages of non-stem cell populations (differentiated cells) via a ubiquitous hierarchal division scheme. Differentiation of a stem cell into (partially) differentiated cells can happen either…

细胞行为 · 定量生物学 2014-11-07 Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

Cancer is a disease that takes millions of lives every year. Then, to propose treatments, avoid recurrence, and improve the patient's life quality, we need to analyze this disease from a biophysical perspective with a solid mathematical…

定量方法 · 定量生物学 2024-07-09 Carlos M. Nieto , Oscar M. Pimentel , Fabio D. Lora-Clavijo

Cancer is a complex disease driven by dynamic regulatory shifts that cannot be fully captured by individual molecular profiling. We employ a data-driven approach to construct a coarse-grained dynamic network model based on hallmark…

定量方法 · 定量生物学 2025-02-28 Jiahe Wang , Yan Wu , Yuke Hou , Yang Li , Dachuan Xu , Changjing Zhuge , Yue Han

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…

定量方法 · 定量生物学 2026-03-19 Fatemeh Ansarizadeh , Tonghua Zhang

Oncolytic virotherapy, utilizing genetically modified viruses to combat cancer and trigger anti-cancer immune responses, has garnered significant attention in recent years. In our previous work arXiv:2305.12386, we developed a stochastic…

种群与进化 · 定量生物学 2026-04-23 David Morselli , Marcello E. Delitala , Adrianne L. Jenner , Federico Frascoli

Adopting Convolutional Neural Networks (CNNs) in the daily routine of primary diagnosis requires not only near-perfect precision, but also a sufficient degree of generalization to data acquisition shifts and transparency. Existing CNN…

计算机视觉与模式识别 · 计算机科学 2023-06-22 Mara Graziani , Sebastian Otalora , Stephane Marchand-Maillet , Henning Muller , Vincent Andrearczyk

In this work we propose and investigate a family of models, which admits as particular cases some well known mathematical models of tumor-immune system interaction, with the additional assumption that the influx of immune system cells may…

组织与器官 · 定量生物学 2015-06-17 Alberto d'Onofrio

Phenotypic heterogeneity along the epithelial-mesenchymal (E-M) axis contributes to cancer metastasis and drug resistance. Recent experimental efforts have collated detailed time-course data on the emergence and dynamics of E-M…

偏微分方程分析 · 数学 2023-09-19 Jules Guilberteau , Paras Jain , Mohit Kumar Jolly , Nastassia Pouradier Duteil , Camille Pouchol

The goal of cancer immunotherapy is to boost a patient's immune response to a tumor. Yet, the design of an effective immunotherapy is complicated by various factors, including a potentially immunosuppressive tumor microenvironment,…

组织与器官 · 定量生物学 2017-06-29 Anna Konstorum , Anthony T. Vella , Adam J. Adler , Reinhard Laubenbacher

We study the dynamics and interactions between combined chemotherapy and chimeric antigen receptor (CAR-T) cells therapy and malignant gliomas (MG). MG is one of the most common primary brain tumor, with high resistance to therapy and…

动力系统 · 数学 2025-06-04 Dmitry Sinelshchikov , Juan Belmonte-Beitia , Matteo Italia

Many organisms and cell types, from bacteria to cancer cells, exhibit a remarkable ability to adapt to fluctuating environments. Additionally, cells can leverage a memory of past environments to better survive previously-encountered…

机器学习 · 计算机科学 2025-01-29 Josiah C. Kratz , Jacob Adamczyk