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The mathematics of cancer: integrating quantitative models
Mathematical modelling approaches have become increasingly abundant in cancer
research. The complexity of cancer is well suited to quantitative approaches as it provides …
research. The complexity of cancer is well suited to quantitative approaches as it provides …
A review of mathematical models for tumor dynamics and treatment resistance evolution of solid tumors
Increasing knowledge of intertumor heterogeneity, intratumor heterogeneity, and cancer
evolution has improved the understanding of anticancer treatment resistance. A better …
evolution has improved the understanding of anticancer treatment resistance. A better …
Sex differences in GBM revealed by analysis of patient imaging, transcriptome, and survival data
W Yang, NM Warrington, SJ Taylor… - Science translational …, 2019 - science.org
Sex differences in the incidence and outcome of human disease are broadly recognized but,
in most cases, not sufficiently understood to enable sex-specific approaches to treatment …
in most cases, not sufficiently understood to enable sex-specific approaches to treatment …
Classical mathematical models for description and prediction of experimental tumor growth
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 …
expressed as mathematical models. To explore this further, quantitative analysis of the most …
Integrating mechanism-based modeling with biomedical imaging to build practical digital twins for clinical oncology
Digital twins employ mathematical and computational models to virtually represent a
physical object (eg, planes and human organs), predict the behavior of the object, and …
physical object (eg, planes and human organs), predict the behavior of the object, and …
Imaging of intratumoral heterogeneity in high-grade glioma
Abstract High-grade glioma (HGG), and particularly Glioblastoma (GBM), can exhibit
pronounced intratumoral heterogeneity that confounds clinical diagnosis and management …
pronounced intratumoral heterogeneity that confounds clinical diagnosis and management …
Clustering functional magnetic resonance imaging time series in glioblastoma characterization: A review of the evolution, applications, and potentials
In this paper, we discuss how the clustering analysis technique can be applied to analyze
functional magnetic resonance imaging (fMRI) time-series data in the context of …
functional magnetic resonance imaging (fMRI) time-series data in the context of …
Mathematical modeling of tumor growth and treatment
H Enderling, M AJ Chaplain - Current pharmaceutical design, 2014 - benthamdirect.com
Using mathematical models to simulate dynamic biological processes has a long history.
Over the past couple of decades or so, quantitative approaches have also made their way …
Over the past couple of decades or so, quantitative approaches have also made their way …
Predictive digital twin for optimizing patient-specific radiotherapy regimens under uncertainty in high-grade gliomas
We develop a methodology to create data-driven predictive digital twins for optimal risk-
aware clinical decision-making. We illustrate the methodology as an enabler for an …
aware clinical decision-making. We illustrate the methodology as an enabler for an …
Growth dynamics of untreated glioblastomas in vivo
Background Glioblastomas are primary malignant brain tumors with a dismal prognosis.
Knowledge of growth rates and underlying growth dynamics is useful for understanding …
Knowledge of growth rates and underlying growth dynamics is useful for understanding …