24 papers · ranked by Valyu relevance
Sébastien Benzekry, Clare Lamont, Afshin Beheshti, Amanda Tracz + 4 more
'John M. L. Ebos' 'Lynn Hlatky' 'Philip Hahnfeldt' 'Feilim Mac Gabhann'] Despite internal complexity, tumor growth kinetics follow relatively simple laws that can be expressed as mathematical models. To explore this further, quantitative analysis of the most classical of these were performed. The models were assessed…
Philip Gerlee
In this article we shall trace the historical development of tumour growth laws, which in a quantitative fashion describe the increase in tumour mass/volume over time. These models are usually formulated in terms of differential equations that relate the growth rate of the tumour to its current state, and range from…
Jeffrey West, Paul K. Newton
A tumor is made up of a heterogeneous collection of cell types all competing on a fitness landscape mediated by micro-environmental conditions that dictate their interactions. Despite the fact that much is known about cell signaling and cellular cooperation, the specifics of how the cell-to-cell coupling and the range…
Cristian Axenie, Daria Kurz
Neoplastic processes are described by complex and heterogeneous dynamics. The interaction of neoplastic cells with their environment describes tumor growth and is critical for the initiation of cancer invasion. Despite the large spectrum of tumor growth models, there is no clear guidance on how to choose the most…
Sahar Jafari Nivlouei, Madjid Soltani, Ebrahim Shirani, Mohammad Reza Salimpour + 2 more
Accordingly, the growth pattern of the tumor from the simulation is consistent with the experimental measurements. Experiments claim that in spheroid cultures three different phases of growth can be observed. In the first phase, days 0-3, initial cell aggregation and spheroid formation at a slow rate is reported.…
Sahar Jafari Nivlouei, M. Soltani, João Carvalho, Rui Travasso + 3 more
'Mohammad Reza Salimpour' 'Ebrahim Shirani' 'Philip K Maini'] The dynamics of tumor growth and associated events cover multiple time and spatial scales, generally including extracellular, cellular and intracellular modifications. The main goal of this study is to model the biological and physical behavior of tumor…
Lisa Buchauer, Muhammad Amir Khan, Yue Zhuo, Chunxuan Shao + 15 more
How overall tumor growth emerges from the properties of functionally heterogeneous tumor cell subpopulations is a fundamental question of cancer biology. Here we combined lineage tracing, continuous monitoring of tumor mass, proliferation assays and transcriptomics with mathematical modeling and statistical inference…
Haofan Wang, Yitao Mao, Zhen Zhang, Zhenxiong Xu + 8 more
Tumor growth is manifestation of the evolution of a complex system. Researchers have limited scope of modelling studies on specific aspects or stages of the process. It has led to unsatisfactory explanation of clinical observations. We hereby demonstrated that an inhomogeneous model built on the generalized logistic…
Youness Azimzade, Abbas Ali Saberi, Robert A. Gatenby
Integrating experimental data into ecological models plays a central role in understanding biological mechanisms that drive tumor progression where such knowledge can be used to develop new therapeutic strategies. While the current studies emphasize the role of competition among tumor cells, they fail to explain…
Vı́ctor M. Pérez-Garcı́a, Gabriel F. Calvo, Jesús J. Bosque, Odelaisy León-Triana + 23 more
'Odelaisy León-Triana' 'Juan Jiménez-Sánchez' 'Julián Pérez-Beteta' 'Juan Belmonte-Beitia' 'Manuel Valiente' 'Lucía Zhu' 'Pedro García‐Gómez' 'Pilar Sánchez‐Gómez' 'Esther Hernández‐SanMiguel' 'Rafael Hortigüela' 'Youness Azimzade' 'David Molina-García' 'Alvaro A. Martinez' 'Ángel Acosta Rojas' 'Ana Ortiz de Méndivil'…
Patricio Cumsille, Aníbal Coronel, Carlos Conca, Cristóbal Quiñinao + 1 more
'Carlos Escudero'] One of the main challenges in cancer modelling is to improve the knowledge of tumor progression in areas related to tumor growth, tumor-induced angiogenesis and targeted therapies efficacy. For this purpose, incorporate the expertise from applied mathematicians, biologists and physicians is highly…
Jeffrey West, Zaki Hasnain, Paul Macklin, Paul K. Newton
We describe a cell-molecular based evolutionary mathematical model of tumor development driven by a stochastic Moran birth-death process. The cells in the tumor carry molecular information in the form of a numerical genome which we represent as a four-digit binary string used to differentiate cells into 16 molecular…
Fabiano L. Ribeiro, Renato Vieira dos Santos, Angélica S. Mata
The comprehension of tumor growth is a intriguing subject for scientists. New researches has been constantly required to better understand the complexity of this phenomenon. In this paper, we pursue a physical description that account for some experimental facts involving avascular tumor growth. We have proposed an…
Narmin Ghaffari Laleh, Chiara Maria Lavinia Loeffler, Julia Grajek, Kateřina Staňková + 6 more
Classical mathematical models of tumor growth have shaped our understanding of cancer and have broad practical implications for treatment scheduling and dosage. However, even the simplest textbook models have been barely validated in real world-data of human patients. In this study, we fitted a range of differential…
Raúl A Ruggiero, Oscar D Bustuoabad
Background Most theories about cancer proposed during the last century share a common denominator: cancer is believed to be a biological nonsense for the organism in which it originates, since cancer cells are believed to be ones evading the rules that control normal cell proliferation and differentiation. In this…
Jesika Maganin, Neyva Maria Lopes Romeiro, Eliandro Rodrigues Cirilo, Paulo Laerte Natti
'Paulo Laerte Natti'] The work presents a study of the non-linear mathematical model of tumor growth, proposed by Kolev and Zubik-Kowal (2011). The model is described by a system composed of four partial differential equations that represent the evolution of the density of cancer cells, density of the extracellular…
Pantelis Ampatzoglou, George Dassios, Maria Hadjinicolaou, Helen P. Kourea + 1 more
'Helen P. Kourea' 'Michael N. Vrahatis'] In the present manuscript we propose a lattice free multiscale model for avascular tumor growth that takes into account the biochemical environment, mitosis, necrosis, cellular signaling and cellular mechanics. This model extends analogous approaches by assuming a function that…
Ryan J. Murphy, Alexander P. Browning, Gency Gunasingh, Nikolas K. Haass + 1 more
Tumour spheroid experiments are routinely used to study cancer progression and treatment. Various and inconsistent experimental designs are used, leading to challenges in interpretation and reproducibility. Using multiple experimental designs, live-dead cell staining, and real-time cell cycle imaging, we measure…
Yasaman Moghadamnia, Dariush Moslemi
Due to the rate increase in cancer incidence, many researchers in different fields have been conducting studies on cancer-related phenomena. Most studies are conducted to focus on cellular and molecular aspects of cancerous diseases and treatment strategies. Physicists have been using mathematical modeling and…
Esmaeil Mehrara, Eva Forssell-Aronsson
Purpose Inter-patient variations in tumour growth rate are usually interpreted as biological heterogeneity among patients due to, e.g., genetic variability. However, these variations might be a result of non-exponential, e.g. the Gompertzian, tumour growth kinetics. The aim was to study if the natural tumour growth…
Liping Zhang, Ben Zhong Tang, Zheng Zhao, Yu Xiong + 8 more
Targeted and controllable drug release at lesion sites with the aid of visual navigation in real-time is of great significance for precise theranostics of cancers. Benefiting from the marvellous features (e.g. bright emission and phototheranostic effect in aggregates) of aggregation-induced emission (AIE) materials…
Vidhi Kulkarni, Igor Tsigelny, Valentina Kouznetsova
Feline mammary carcinoma (FMC) is a prevalent and fatal carcinoma that predominantly affects unsprayed female cats. FMC is the third most common carcinoma in cats but is still underrepresented in research. Current diagnosis methods include physical examinations, imaging tests, and fine-needle aspiration. The diagnosis…
Kavita Iyer, Julian Ivanov, Rumiana Tenchov, Krittika Ralhan + 4 more
Rapid and sustained growth in the field of immuno-oncology has resulted in expansion of available scientific literature. Gaining valuable insights and establishing deep and often hidden meaningful connections in such a large body of work is the need of the hour. In this report we summarize our findings from a novel…
Rumiana Tenchov, Aparna Sapra, Janet Sasso, Krittika Ralhan + 3 more
Cancer is one of the leading causes of death worldwide. Early cancer detection is critical because it can significantly improve treatment outcome thus saving lives, reducing suffering, and lessening psychological and economic burdens. Cancer biomarkers provide varied information about cancer, from early detection of…