ASYMPTOTIC ANALYSIS OF AN INTEGRO-DIFFERENTIAL SYSTEM MODELING THE BLOW UP OF CANCER CELLS UNDER THE IMMUNE RESPONSE DOI Open Access
Mohamed Ch-Chaoui,

Karima Mokni

Journal of Applied Analysis & Computation, Journal Year: 2022, Volume and Issue: 12(5), P. 1763 - 1785

Published: Jan. 1, 2022

In this paper, we derive and analyze a phenomenological model at the cellular level of immune response to cancer evolution based on kinetic theory active particles. The consists system nonlinear integro-differential equations describing binary interactions between epithelial, tumor, naive cells, activated cells. It also takes into account phenotypic mutations in epithelial which are known result uncontrolled growth tumor We prove well-posedness related Cauchy problem non-negativity solution. give sufficient conditions for solution may exist globally time. A detailed asymptotic analysis has been developed with aim predicting effect mutation events tumor-immune dynamics. shows that under some critical values model's parameters initial conditions, can specify biological states blow up Indeed, gives useful indications be properly explored toward design therapeutical actions.

Language: Английский

Mathematical Model of CAR T-Cell Therapy for a B-Cell Lymphoma Lymph Node DOI Creative Commons
Soukaina Sabir, Odelaisy León-Triana, Sergio Serrano

et al.

Bulletin of Mathematical Biology, Journal Year: 2025, Volume and Issue: 87(3)

Published: Feb. 7, 2025

Abstract CAR T-cell therapies have demonstrated significant success in treating B-cell leukemia children and young adults. However, their effectiveness lymphomas has been limited comparison to leukemia. In this paper we present a mathematical model that elucidates the dynamics of diffuse large lymphoma T-cells lymph node. The aids understanding complex interplay between cell populations involved proposes ways identify potential underlying dynamical causes treatment failure. We also study phenomenon immunosuppression induced by tumor cells theoretically demonstrate its impact on dynamics. Through examination various response scenarios, underscore significance product characteristics outcomes.

Language: Английский

Citations

0

Threshold dynamics of a stochastic tumor-immune model combined oncolytic virus and chimeric antigen receptor T cell therapies DOI
Tong Zhou, Jin Yang, Yuanshun Tan

et al.

Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 197, P. 116418 - 116418

Published: April 25, 2025

Language: Английский

Citations

0

Stochastic Impulsive Dynamical Model and Stationary Distribution of Oncolytic Virus-CAR-T Cell Combination Therapy DOI

童 周

Advances in Applied Mathematics, Journal Year: 2025, Volume and Issue: 14(04), P. 892 - 904

Published: Jan. 1, 2025

Language: Английский

Citations

0

Assessment of Clinical Response to V937 Oncolytic Virus After Intravenous or Intratumoral Administration Using Physiologically‐Based Modeling DOI Open Access
Zinnia P. Parra‐Guillén, Aymara Sancho‐Araiz,

Kapil Mayawala

et al.

Clinical Pharmacology & Therapeutics, Journal Year: 2023, Volume and Issue: 114(3), P. 623 - 632

Published: May 12, 2023

Oncolytic viruses (OVs) represent a potential therapeutic strategy in cancer treatment. However, there is currently lack of comprehensive quantitative models characterizing clinical OV kinetics and distribution to the tumor. In this work, we present mechanistic modeling framework for V937 OV, after intratumoral (i.t.) or intravascular (i.v.) administration patients with cancer. A minimal physiologically-based pharmacokinetic model was built characterize biodistribution OVs humans. Viral dynamics incorporated at i.t. cellular level linked tumor response, enabling characterization direct killing triggered by death infected cells an indirect induced immune response. The provided adequate description changes mRNA levels size obtained from phase I/II trials administration. showed prominent role viral clearance systemic circulation infectivity addition known aggressiveness on After i.v. administration, exposure predicted be several orders magnitude lower compared These differences could overcome if high virus and/or replication. Unfortunately, latter process not identified current setting. This work provides insights selecting optimal considering replication rate infectivity.

Language: Английский

Citations

8

Mathematical modeling of tumor growth and treatment: Triple negative breast cancer DOI

Hsiu‐Chuan Wei

Mathematics and Computers in Simulation, Journal Year: 2022, Volume and Issue: 204, P. 645 - 659

Published: Sept. 17, 2022

Language: Английский

Citations

9

The role of tumor activation and inhibition with saturation effects in a mathematical model of tumor and immune system interactions undergoing oncolytic viral therapy DOI

G. V. R. K. Vithanage,

Hsiu‐Chuan Wei,

Sophia R.‐J. Jang

et al.

Mathematical Methods in the Applied Sciences, Journal Year: 2023, Volume and Issue: 46(9), P. 10787 - 10813

Published: March 2, 2023

We propose and study a mathematical model governing interactions between cancer immune system with an oncolytic viral therapy (OVT), wherein cells can activate inhibit simultaneously saturations. When the is not applied, it shown that interaction support at most three hyperbolic positive equilibria where two of them are always asymptotically stable other saddle point. The reachable tumor burden be either small or large depending on initial size. analyze full by proving global asymptotic stability virus‐free equilibrium corresponds to OVT failure. Sufficient conditions based parameters derived under which uniformly persistent. proposed validated using mouse human pancreatic carried out Koujima et al. Global sensitivity analysis indicates rates tumor‐mediated killing cell exhaustion critical for progression success. Numerical bifurcation reveals point utilized estimate maximum load eradication OVT. Moreover, immunosuppressive microenvironment may enhance efficacy.

Language: Английский

Citations

4

A Role of Effector CD$$8^{+}$$ T Cells Against Circulating Tumor Cells Cloaked with Platelets: Insights from a Mathematical Model DOI
Khaphetsi Joseph Mahasa, Rachid Ouifki,

Lisette de Pillis

et al.

Bulletin of Mathematical Biology, Journal Year: 2024, Volume and Issue: 86(8)

Published: June 17, 2024

Language: Английский

Citations

1

Novel risk prediction models, involving coagulation, thromboelastography, stress response, and immune function indicators, for deep vein thrombosis after radical resection of cervical cancer and ovarian cancer DOI Creative Commons
Jing Zhang, Jia Chen,

Xiuqing Yang

et al.

Journal of Obstetrics and Gynaecology, Journal Year: 2023, Volume and Issue: 43(1)

Published: April 24, 2023

This study aimed to investigate the predictive value of coagulation, thromboelastography, stress response, and immune function indicators for occurrence deep venous thrombosis (DVT) following radical resection cervical cancer ovarian cancer. We conducted a prospective, single-centre, case-control that included 230 patients patients. In testing cohort, final model was: Logit(P)=9.365-0.063(R-value)-0.112(K value) +0.386(α angle)+0.415(MA)+0.276(FIB)+0.423(D-D)+0.195(IL-6)+0.092(SOD). For patients, Logit(P)= -2.846-0.036(R-value)-0.157(K +0.426(α angle) +0.172(MA) +0.221(FIB)+0.375(CRP) -0.126(CD4+/CD8+). validation these models exhibited good efficiency, with false-positive rate 12.5% false-negative 2.9% 14.3% 0% conclusion, risk prediction developed in this effectively improve accuracy DVT

Language: Английский

Citations

3

Alliance between titans: combination strategies of CAR-T cell therapy and oncolytic virus for the treatment of hematological malignancies DOI
Xuejin Gao,

Jile Liu,

Rui Sun

et al.

Annals of Hematology, Journal Year: 2023, Volume and Issue: 103(8), P. 2569 - 2589

Published: Oct. 18, 2023

Language: Английский

Citations

3

Nonlinear dynamics of estrogen receptor-positive breast cancer integrating experimental data: A novel spatial modeling approach DOI Creative Commons
Abeer S. Alnahdi, Muhammad Idrees

Mathematical Biosciences & Engineering, Journal Year: 2023, Volume and Issue: 20(12), P. 21163 - 21185

Published: Jan. 1, 2023

<abstract><p>Oncology research has focused extensively on estrogen hormones and their function in breast cancer proliferation. Mathematical modeling is essential for the analysis simulation of cancers. This presents a novel approach to examine therapeutic inhibitory effects hormone therapies onset cancer. Our proposed mathematical model comprises nonlinear coupled system partial differential equations, capturing intricate interactions among estrogen, cytotoxic T lymphocytes, dormant cells, active cells. The model's parameters are meticulously estimated through experimental studies, we conduct comprehensive global sensitivity assess uncertainty these parameter values. Remarkably, our findings underscore pivotal role therapy curtailing tumor growth by blocking estrogen's influence Beyond this crucial insight, offers an integrated framework delve into complexity progression immune response under therapy. We employ diverse datasets encompassing gene expression profiles, spatial morphology, cellular interactions. Integrating multidimensional data with models enhances understanding dynamics paves way personalized treatment strategies. study advances comprehension receptor-positive exemplifies transformative that merges cutting-edge modeling. promises illuminate complexities therapy, broad implications oncology.</p></abstract>

Language: Английский

Citations

2