Polyclonal-to-monoclonal transition in colorectal precancerous evolution

Nature, Год журнала: 2024, Номер unknown

Опубликована: Окт. 30, 2024

Язык: Английский

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Validation of polymorphic Gompertzian model of cancer through in vitro and in vivo data

PLoS ONE, Год журнала: 2025, Номер 20(1), С. e0310844 - e0310844

Опубликована: Янв. 9, 2025

Mathematical modeling plays an important role in our understanding and targeting therapy resistance mechanisms cancer. The polymorphic Gompertzian model, analyzed theoretically numerically by Viossat Noble to demonstrate the benefits of adaptive metastatic cancer, describes a heterogeneous cancer population consisting therapy-sensitive therapy-resistant cells. In this study, we that model successfully captures trends both vitro vivo data on non-small cell lung (NSCLC) dynamics under treatment. Additionally, for tumor patients undergoing treatment, compare goodness fit classical oncologic models, which were previously identified as models best. We show can capture U-shape trend size during relapse, not be fitted with models. general, corresponds well real-world data, suggesting it candidate improving efficacy therapy, example, through evolutionary/adaptive therapies.

Язык: Английский

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Public Goods Games in Disease Evolution and Spread

Dynamic Games and Applications, Год журнала: 2025, Номер unknown

Опубликована: Фев. 19, 2025

Язык: Английский

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X-linked competition — implications for human development and disease

Nature Reviews Genetics, Год журнала: 2025, Номер unknown

Опубликована: Май 12, 2025

Язык: Английский

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Modeling tumors as complex ecosystems

iScience, Год журнала: 2024, Номер 27(9), С. 110699 - 110699

Опубликована: Авг. 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.

Язык: Английский

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Validation of polymorphic Gompertzian model of cancer throughin vitroandin vivodata

bioRxiv (Cold Spring Harbor Laboratory), Год журнала: 2023, Номер unknown

Опубликована: Апрель 21, 2023

Abstract Mathematical modeling plays an important role in our understanding and targeting therapy resistance mechanisms cancer. The polymorphic Gompertzian model, analyzed theoretically by Viossat Noble, describes a heterogeneous cancer population consisting of sensitive resistant cells. This promising model has not previously been validated with real-world data. In this study, we provide validation. We demonstrate that the successfully captures trends both vitro vivo data on non-small cell lung (NSCLC) dynamics under treatment. Additionally, for tumor patients undergoing treatment, compare to classical oncologic models, which were identified as models fit best. show can capture U-shape trend size during relapse, be fitted models. general, corresponds well data, suggesting it candidate improving efficacy therapy, example through evolutionary/adaptive therapies.

Язык: Английский

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Modeling tumors as species-rich ecological communities

bioRxiv (Cold Spring Harbor Laboratory), Год журнала: 2024, Номер unknown

Опубликована: Апрель 26, 2024

Many advanced cancers resist therapeutic intervention. This process is fundamentally related to intra-tumor heterogeneity: multiple cell populations, each with different mutational and phenotypic signatures, coexist within a tumor its metastatic nodes. Like species in an ecosystem, many cancer populations are intertwined complex network of ecological interactions. Most mathematical models ecology, however, cannot account for such diversity nor able predict consequences. Here we propose that the Generalized Lotka-Volterra model (GLV), standard tool describe complex, species-rich communities, provides suitable framework ecology heterogeneous tumors. We develop GLV growth discuss how emerging properties, as outgrowth multistability, provide new understanding disease. Additionally, potential extensions their application three active areas research, namely plasticity, cancer-immune interplay resistance tumors treatment. Our work outlines set questions tentative road map further research ecology.

Язык: Английский

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A Local Analysis of a Mathematical Pattern for Interactions between the Human Immune System and a Pathogenic Agent

Entropy, Год журнала: 2023, Номер 25(10), С. 1392 - 1392

Опубликована: Сен. 28, 2023

In the present study, we introduce a four-dimensional deterministic mathematical pattern in order to study interactions between human immune system and virus. The model is based on with four first-order ordinary differential equations, main aim of paper perform analysis local behavior associated dynamical using tools qualitative theory systems. Moreover, two types patterns controls were introduced; consequently, some very interesting theoretical conclusions medical relevance obtained.

Язык: Английский

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Cancer Cell Populations

Seminars in Cancer Biology, Год журнала: 2024, Номер unknown

Опубликована: Дек. 1, 2024

Язык: Английский

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