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Recent experimental evidence suggests that acute myeloid leukemias may originate from multiple clones of malignant cells. Nevertheless it is not known how the observed clones may differ with respect to cell properties such as proliferation…

Tissues and Organs · Quantitative Biology 2014-10-07 Thomas Stiehl , Natalia Baran , Anthony D. Ho , Anna Marciniak-Czochra

In this paper, we study a phase-space analysis of a mathematical model of tumor growth with an immune response. Mathematical analysis of the model equations with multipoint initial condition, regarding to dissipativity, boundedness of…

Tissues and Organs · Quantitative Biology 2018-01-17 Veli Shakhmurov

Lung cancer is the leading cause of cancer death and morbidity worldwide. Many studies have shown machine learning models to be effective at detecting lung nodules from chest X-ray images. However, these techniques have yet to be embraced…

Image and Video Processing · Electrical Eng. & Systems 2021-08-31 Michael J. Horry , Subrata Chakraborty , Biswajeet Pradhan , Manoranjan Paul , Douglas P. S. Gomes , Anwaar Ul-Haq

Leukaemia accounts for around 3% of all cancer types diagnosed in adults, and is the most common type of cancer in children of paediatric age. There is increasing interest in the use of mathematical models in oncology to draw inferences and…

Tissues and Organs · Quantitative Biology 2022-05-13 Salvador Chulián , Álvaro-Martínez Rubio , María Rosa , Víctor M. Pérez-García

In this study, we present a stochastic simulation model designed to explicitly incorporate cell cycle length, overcoming limitations associated with classical compartmental models. Our approach employs a delay mechanism to represent the…

Populations and Evolution · Quantitative Biology 2025-04-01 Peter Boldog , Gergely Röst

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…

Quantitative Methods · Quantitative Biology 2024-07-09 Carlos M. Nieto , Oscar M. Pimentel , Fabio D. Lora-Clavijo

The activity of catalytic materials is reduced during operation by several mechanisms, one of them being poisoning of catalytic sites by chemisorbed impurities or products. Here we study the effects of poisoning in two reaction-diffusion…

Statistical Mechanics · Physics 2015-05-13 T. G. Mattos , Fabio D. A. Aarao Reis

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…

Cell Behavior · Quantitative Biology 2014-11-07 Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

In this paper, a model for understanding the effects of selection using systems- level computational approaches is introduced. A number of concepts and principles essential for understanding the motivation for constructing the model will be…

Populations and Evolution · Quantitative Biology 2009-03-04 Bradly Alicea

Cancer progression and monotonic accumulation models were developed to discover dependencies in the irreversible acquisition of binary traits from cross-sectional data. They have been used in computational oncology and virology but also in…

Populations and Evolution · Quantitative Biology 2025-05-12 Ramon Diaz-Uriarte , Iain G. Johnston

In this article, we present a Bayesian hierarchical model for predicting a latent health state from longitudinal clinical measurements. Model development is motivated by the need to integrate multiple sources of data to improve clinical…

In this paper we present a study of local dynamics of the growth of cancer tumor and healthy cells considering the presence of nutrients in the system. We also analyze the evolution of system if we take indirectly into account the level of…

Biological Physics · Physics 2019-01-29 Cristian C. Pérez Águila , Maura Cárdenas G. , J. Fernando Rojas

This study presents a mathematical model describing cloned hematopoiesis in chronic myeloid leukemia (CML) through a nonlinear system of differential equations. The primary objective is to understand the progression from healthy…

Dynamical Systems · Mathematics 2025-11-06 Lorand Gabriel Parajdi , Xue Bai , David Kegyes , Ciprian Tomuleasa

Although the lymphatic system is clearly linked to the metastasis of most human carcinomas, the mechanisms by which lymphangiogenesis occurs in response to the presence of carcinoma remain unclear. Hierarchical models are presented to…

Applications · Statistics 2016-02-01 T. R. Fanshawe , C. M. Chapman , T. Crick

We present a two-dimensional continuum model of tumor growth, which treats the tissue as a composition of six distinct fluid phases; their dynamics are governed by the equations of mass and momentum conservation. Our model divides the…

Populations and Evolution · Quantitative Biology 2021-02-12 I. Lampropoulos , M. Kavousanakis

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

Dynamical Systems · Mathematics 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

Understanding how deep learning models predict oncology patient risk can provide critical insights into disease progression, support clinical decision-making, and pave the way for trustworthy and data-driven precision medicine. Building on…

Computer Vision and Pattern Recognition · Computer Science 2024-11-13 Marvin Sextro , Gabriel Dernbach , Kai Standvoss , Simon Schallenberg , Frederick Klauschen , Klaus-Robert Müller , Maximilian Alber , Lukas Ruff

Irradiation of cell monolayers by monoenergetic ions has made it possible to establish survival curves at individual values of linear energy transfer. The two-step model of radiobiological mechanism proposed recently by Judas and Lokajicek…

Medical Physics · Physics 2007-05-23 Pavel Kundrat , Milos Lokajicek , Hana Hromcikova

Computational modeling of cancer can help unveil dynamics and interactions that are hard to replicate experimentally. Thanks to the advancement in cancer databases and data analysis technologies, these models have become more robust than…

Quantitative Methods · Quantitative Biology 2023-11-07 Navid Mohammad Mirzaei , Leili Shahriyari

In this paper, a mixed-effect modeling scheme is proposed to construct a predictor for different features of cancer tumor. For this purpose, a set of features is extracted from two groups of patients with the same type of cancer but with…

Applications · Statistics 2018-04-13 Fatemeh Nasiri , Oscar Acosta-Tamayo