Stackelberg Evolutionary Games of Cancer Treatment: What Treatment Strategy to Choose if Cancer Can be Stabilized? DOI Creative Commons
Mónica L. Salvioli, Hasti Garjani, Mohammadreza Satouri

et al.

Dynamic Games and Applications, Journal Year: 2024, Volume and Issue: unknown

Published: Dec. 14, 2024

Abstract We present a game-theoretic model of polymorphic cancer cell population where the treatment-induced resistance is quantitative evolving trait. When stabilization tumor burden possible, we expand into Stackelberg evolutionary game, physician leader and cells are followers. The chooses treatment dose to maximize an objective function that proxy patient’s quality life. In response, evolve level maximizes their proliferation survival. Assuming in its ecological equilibrium, compare outcomes three different strategies: giving maximum tolerable throughout, corresponding standard care for most metastatic cancers, ecologically enlightened therapy, anticipates short-run, response treatment, but not evolution evolutionarily both consequences treatment. Of therapeutic strategies, therapy leads highest values function, lowest dose, resistance. Conversely, our model, worst

Language: Английский

Dynamics of a Symmetric Model of Competition Between Tumor and Immune Cells Under Chemotherapy DOI Open Access
Abdelhamid Ajbar, Rubayyi T. Alqahtani

Symmetry, Journal Year: 2025, Volume and Issue: 17(4), P. 492 - 492

Published: March 25, 2025

This paper studies a model for competition between natural killer (NK) cells, cytotoxic T lymphocytes (CTLs) and tumor evaluates the outcomes in absence presence of chemotherapy treatment. The growth rate is presumed to follow classical logistic law. particularly emphasizes rate-limiting recruitment NK cells CTL which activated by tumor. It additionally includes activation through debris produced lysis alongside regulatory effect that have on cells. Additionally, incorporates reciprocal decreases cell populations resulting from interactions immune along with impact all three types We analyze stability equilibrium points. Utilizing parameter values been experimentally confirmed literature applying some elementary principles singularity theory, we investigate bistability regimes anticipated chemotherapy, evaluate parameters this behavior. mathematical analysis serves effectiveness demonstrate interplay biological those associated can result range treatment outcomes. proposed may serve as valuable tool directing development strategies interventions.

Language: Английский

Citations

0
Solvability and Ulam-Hyers stability analysis for nonlinear piecewise fractional cancer dynamic systems DOI
Shahid Khan, Kamal Shah, Amar Debbouche

et al.

Physica Scripta, Journal Year: 2023, Volume and Issue: 99(2), P. 025225 - 025225

Published: Dec. 28, 2023

Abstract We examine a nonlinear dynamical model that depicts the interaction between cancerous cells and an oncolytic virus. For best modelling disease, we use Caputo fractional derivative in piecewise approaches. By employing piecemeal techniques, treat compartment body contains infectious non-infectious cells. More precisely, solvability Ulam-Hyers (U-H) stability results are considered using standard concepts. Further, to support our investigation with numerical results, apply Euler method develop approximation solution. It connected numerous graphical representations of system various arbitrary ordering varying values isolation parameters. Here remark multi-step behavior certain problems exhibit, is one important issues naturally. This paper introduces idea goal modeling real-world follow multiples processes. With help used approach, investigate cancer disease its transmission crossover effect.

Language: Английский

Citations

10
Modeling tumors as complex ecosystems DOI Creative Commons
Guim Aguadé‐Gorgorió, Alexander R.A. Anderson, Ricard V. Solé

et al.

iScience, Journal Year: 2024, Volume and Issue: 27(9), P. 110699 - 110699

Published: Aug. 10, 2024

Many cancers resist therapeutic intervention. This is fundamentally related to intratumor heterogeneity: multiple cell populations, each with different phenotypic signatures, coexist within a tumor and its metastases. Like species in an ecosystem, cancer populations are intertwined complex network of ecological interactions. Most mathematical models ecology, however, cannot account for such diversity or predict consequences. Here, we propose that the generalized Lotka-Volterra model (GLV), standard tool describe species-rich communities, provides suitable framework ecology heterogeneous tumors. We develop GLV growth discuss how emerging properties provide new understanding disease. potential extensions their application plasticity, cancer-immune interactions, metastatic growth. Our work outlines set questions road map further research ecology.

Language: Английский

Citations

3
Comparacion de estrategias de control predictivo estocástico no lineal aplicadas a la quimioterapia DOI Creative Commons
Andrés Hernández-Rivera, Pablo Velarde, Ascensión Zafra‐Cabeza

et al.

Revista Iberoamericana de Automática e Informática Industrial RIAI, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 10, 2025

El modelado matemático de sistemas biomédicos puede ayudar a los profesionales oncológicos diseñar ciclos administración fármacos más seguros y eficaces. Para lograr este objetivo, en el proceso toma decisiones se utiliza modelo del crecimiento tumoral impacto la quimioterapia. Sin embargo, son propensos un alto grado incertidumbre, no solo por errores medición, sino también dinámica sistema modelada variabilidad entre pacientes. abordar problema, han aplicado restricciones probabilísticas al control fármacos, haciéndolo robusto frente perturbaciones. Este trabajo compara una versión lineal otra linealizada las formulaciones estocásticas predictivo basado modelo. Ambos algoritmos mejoran eficacia seguridad tratamiento, con diferencias cuanto conservadurismo coste computacional.

Citations

0
Proper likelihood functions for parameter estimation in S-shaped models of unperturbed tumor growth DOI Creative Commons
Erick Eduardo Ramirez-Torres, Antonio Rafael Selva Castañeda, L. Rández

et al.

Scientific Reports, Journal Year: 2025, Volume and Issue: 15(1)

Published: Feb. 24, 2025

The analysis of unperturbed tumor growth kinetics, particularly the estimation parameters for S-shaped equations used to describe growth, requires an appropriate likelihood function that accounts increasing error in solid measurements as size grows over time. This study aims propose suitable functions parameter models growth. Five different are evaluated and compared using three Bayesian criteria (the Information Criterion, Deviance Bayes Factor) along with hypothesis tests on residuals. These applied fit data from Ehrlich, fibrosarcoma Sa-37, F3II tumors Gompertz equation, though they generalizable other or analogous systems (e.g., microorganisms, viruses). Results indicate volume-dependent dispersion outperform standard constant-variance capturing variability measurements, Thres model, which provides interpretable Additionally, models, such those assuming a normal distribution, remain valuable complementary benchmarks analysis. It is concluded incorporating preferred accurate clinically meaningful modeling, whereas constant-dispersion serve useful complements consistency historical comparability.

Language: Английский

Citations

0
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach DOI
Marı́a José Torres, Fran Sérgio Lobato, Gustavo Barbosa Libotte

et al.

Mathematical Biosciences, Journal Year: 2025, Volume and Issue: unknown, P. 109404 - 109404

Published: Feb. 1, 2025

Language: Английский

Citations

0
Stability of the Darwinian Dynamics: Effect of Intraspecific Competition and Human Intervention DOI Creative Commons
Mohammadreza Satouri, Jafar Rezaei, Kateřina Staňková

et al.

Dynamic Games and Applications, Journal Year: 2025, Volume and Issue: unknown

Published: March 20, 2025

Language: Английский

Citations

0
Mathematical modeling of radiotherapy: impact of model selection on estimating minimum radiation dose for tumor control DOI Creative Commons

Achyudhan R. Kutuva,

Jimmy J. Caudell, Kosj Yamoah

et al.

Frontiers in Oncology, Journal Year: 2023, Volume and Issue: 13

Published: Oct. 9, 2023

Introduction Radiation therapy (RT) is one of the most common anticancer therapies. Yet, current radiation oncology practice does not adapt RT dose for individual patients, despite wide interpatient variability in radiosensitivity and accompanying treatment response. We have previously shown that mechanistic mathematical modeling tumor volume dynamics can simulate volumetric response to patients estimation personalized optimal reduction. However, understanding implications choice underlying model critical when calculating dose. Methods In this study, we evaluate biological effects 2 models on personalization: (1) cytotoxicity cancer cells lead direct reduction (DVR) (2) responses microenvironment carrying capacity (CCR) subsequent shrinkage. Tumor growth was simulated as logistic with pre-treatment being described proliferation saturation index (PSI). The effect according each respective a standard schedule fractionated Gy weekday fractions. Parameter sweeps were evaluated intrinsic rate parameter both observe qualitative impact parameter. then calculated minimum required locoregional control (LRC) across all combinations full range radiosensitvity values. Results Both estimate higher will require lower achieve LRC. two make opposite estimates PSI LRC: DVR tumors values LRC, while CCR Discussion Ultimately, these results show importance which best describes particular setting, before using any such recommendations.

Language: Английский

Citations

9
Gompertz models with periodical treatment and applications to prostate cancer DOI Creative Commons

Leonardo Schultz,

Antonio Gondim,

Shigui Ruan

et al.

Mathematical Biosciences & Engineering, Journal Year: 2024, Volume and Issue: 21(3), P. 4104 - 4116

Published: Jan. 1, 2024

<abstract><p>In this paper, Gompertz type models are proposed to understand the temporal tumor volume behavior of prostate cancer when a periodical treatment is provided. Existence, uniqueness, and stability periodic solutions established. The used fit data forecast growth based on treatments using capsaicin docetaxel anticancer drugs. Numerical simulations show that combination most efficient cancer.</p></abstract>

Language: Английский

Citations

3
Patient-Derived Multiple Myeloma 3D Models for Personalized Medicine—Are We There Yet? DOI Open Access
Diana Lourenço, Raquel Lopes, Carolina Pestana

et al.

International Journal of Molecular Sciences, Journal Year: 2022, Volume and Issue: 23(21), P. 12888 - 12888

Published: Oct. 25, 2022

Despite the wide variety of existing therapies, multiple myeloma (MM) remains a disease with dismal prognosis. Choosing right treatment for each patient one major challenges. A new approach being explored is use ex vivo models personalized medicine. Two-dimensional culture or animal often fail to predict clinical outcomes. Three-dimensional using patients' bone marrow (BM) cells may better reproduce complexity and heterogeneity BM microenvironment. Here, we review strengths limitations currently patient-derived three-dimensional MM models. We analyze their biochemical biophysical properties, molecular cellular characteristics, as well potential drug testing identification biomarkers. Furthermore, discuss remaining challenges give some insight on how achieve more biomimetic accurate model. Overall, there still need standardized methods refined readout techniques. Including both other microenvironment in simple reproducible scaffold key faithfully mapping examining relationship between these players MM. This will allow patient-personalized profile, providing powerful tool research applications.

Language: Английский

Citations

13