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Acute leukemia is a type of blood cancer with a high mortality rate. Current therapeutic methods include bone marrow transplantation, supportive therapy, and chemotherapy. Although a satisfactory remission of the disease can be achieved,…

Image and Video Processing · Electrical Eng. & Systems 2022-05-10 Ruitao Zhang , Xueying Han , Ijaz Gul , Shiyao Zhai , Ying Liu , Yongbing Zhang , Yuhan Dong , Lan Ma , Dongmei Yu , Jin Zhou , Peiwu Qin

T lymphocytes (T cells) orchestrate adaptive immune responses upon activation. T cell activation requires sufficiently strong binding of T cell receptors (TCRs) on their surface to short peptides (p) derived from foreign proteins, which are…

Biological Physics · Physics 2016-06-22 Andrej Kosmrlj , Arup K. Chakraborty , Mehran Kardar , Eugene I. Shakhnovich

Although there are various types of cancer treatments, none of these currently take into account the effect of ageing of the immune system and hence altered responses to cancer. Recent studies have shown that in vitro stimulation of T cells…

Computational Engineering, Finance, and Science · Computer Science 2013-06-13 Grazziela P. Figueredo , Uwe Aickelin

Chimeric antigen receptor T-cell (CAR-T) therapy represents a paradigm shift in cancer treatment, yet development timelines of 8-12 years and clinical attrition rates exceeding 40-60% highlight critical inefficiencies in target selection,…

Quantitative Methods · Quantitative Biology 2025-11-13 Yi Ni , Liwei Zhu , Shuai Li

In this paper we consider an optimal control problem arising from a chemotherapeutic drug treatment for tumor cells in a living tissue. The mathematical model for the interaction of chemotherapeutic drug and the normal, tumor and immune…

Analysis of PDEs · Mathematics 2022-12-13 Hong-Ming Yin

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

A mathematical model from a previous work was re-fitted and analyzed for experimental data regarding the cellular immune response to the lymphocytic choriomeningitis virus. Specifically, the $CD8^{+}$ T cell response to six MHC class…

Tissues and Organs · Quantitative Biology 2017-05-09 Dwayne John

Invertible cellular automata are useful as models of physical systems with microscopically revesible dyanmics. There are several well-understood ways to construct them: partitioning rules, second-order rules, and alternating-grid rules. We…

Cellular Automata and Lattice Gases · Physics 2015-09-30 Benjamin Schumacher , Michael D. Westmoreland

We present a spatial hybrid discrete-continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which play a pivotal role in the immune response against tumours. In this framework, tumour cells…

Analysis of PDEs · Mathematics 2022-10-10 Luis Almeida , Chloe Audebert , Emma Leschiera , Tommaso Lorenzi

Clonal structure of the human peripheral T-cell repertoire is shaped by a number of homeostatic mechanisms, including antigen presentation, cytokine and cell regulation. Its accurate tuning leads to a remarkable ability to combat pathogens…

Quantitative Methods · Quantitative Biology 2014-10-07 O. V. Bolkhovskaya , D. Yu. Zorin , M. V. Ivanchenko

In the human immune system, T-helper cells are able to differentiate into two lymphocyte subsets: Th1 and Th2. The intracellular signaling pathways of differentiation form a dynamic regulation network by secreting distinctive types of…

Cell Behavior · Quantitative Biology 2013-04-24 Qixin Wang , Menghui Li , Li Charlie Xia , Ge Wen , Hualong Zu , Mingyi Gao

The human adaptive immune response is known to weaken in advanced age, resulting in increased severity of pathogen-born illness, poor vaccine efficacy, and a higher prevalence of cancer in the elderly. Age-related erosion of the T-cell…

Populations and Evolution · Quantitative Biology 2019-01-03 Stephanie M. Lewkiewicz , Yao-Li Chuang , Tom Chou

The clonal expansion of T cells during an infection is tightly regulated to ensure an appropriate immune response against invading pathogens. Although experiments have mapped the trajectory from expansion to contraction, the interplay…

Dynamical Systems · Mathematics 2021-10-08 Pantea Pooladvand , Peter S. Kim , Barbara Fazekas de St Groth

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…

Dynamical Systems · Mathematics 2025-06-04 Dmitry Sinelshchikov , Juan Belmonte-Beitia , Matteo Italia

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

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 modeling the inflammatory response to a lesion in an artery wall, there are a number of chemotactic mechanisms going on within the wall layer that lead to an arterial plaque. We introduce a rather reduced model of these dynamic…

Analysis of PDEs · Mathematics 2015-11-10 Jonathan Bell , Animikh Biswas

Cold atmospheric plasma (CAP) is a near room temperature ionized gas, generated under non-equilibrium discharge conditions. Here we show that a short exposure of rat peritoneal exudate macrophages and T-cells to CAP in vitro, triggered an…

Medical Physics · Physics 2022-02-01 Fengdong Cheng , Dayun Yan , Jie Chen , Zi Wang , Alex Horkowitz , Michael Keidar , Eduardo M. Sotomayor

Immunology is the emerging research area which deals with the study of the immune system in any living organism. It is modelled through various computational and mathematical models to deal with the problem facing while to boost the immune…

Cell Behavior · Quantitative Biology 2019-06-21 Gajendra Pratap Singh , Madhuri Jha

Contrast agents in dynamic contrast enhanced magnetic resonance imaging allow to localize tumors and observe their contrast kinetics, which is essential for cancer characterization and respective treatment decision-making. However, contrast…