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Mathematical models of tumor cell proliferation: A review of the literature
Introduction: A defining hallmark of cancer is aberrant cell proliferation. Efforts to understand
the generative properties of cancer cells span all biological scales: from genetic deviations …
the generative properties of cancer cells span all biological scales: from genetic deviations …
Opportunities for improving brain cancer treatment outcomes through imaging-based mathematical modeling of the delivery of radiotherapy and immunotherapy
Immunotherapy has become a fourth pillar in the treatment of brain tumors and, when
combined with radiation therapy, may improve patient outcomes and reduce the …
combined with radiation therapy, may improve patient outcomes and reduce the …
Image-based personalization of computational models for predicting response of high-grade glioma to chemoradiation
High-grade gliomas are an aggressive and invasive malignancy which are susceptible to
treatment resistance due to heterogeneity in intratumoral properties such as cell proliferation …
treatment resistance due to heterogeneity in intratumoral properties such as cell proliferation …
[HTML][HTML] Mechanotransduction in tumor dynamics modeling
Mechanotherapy is a groundbreaking approach to impact carcinogenesis. Cells sense and
respond to mechanical stimuli, translating them into biochemical signals in a process known …
respond to mechanical stimuli, translating them into biochemical signals in a process known …
A hybrid model of tumor growth and angiogenesis: In silico experiments
Tumor associated angiogenesis is the development of new blood vessels in response to
proteins secreted by tumor cells. These new blood vessels allow tumors to continue to grow …
proteins secreted by tumor cells. These new blood vessels allow tumors to continue to grow …
Integrated biophysical modeling and image analysis: application to neuro-oncology
Central nervous system (CNS) tumors come with vastly heterogeneous histologic,
molecular, and radiographic landscapes, rendering their precise characterization …
molecular, and radiographic landscapes, rendering their precise characterization …
Selection and validation of predictive models of radiation effects on tumor growth based on noninvasive imaging data
The use of mathematical and computational models for reliable predictions of tumor growth
and decline in living organisms is one of the foremost challenges in modern predictive …
and decline in living organisms is one of the foremost challenges in modern predictive …
[HTML][HTML] Evaluating patient-specific neoadjuvant regimens for breast cancer via a mathematical model constrained by quantitative magnetic resonance imaging data
The ability to accurately predict response and then rigorously optimize a therapeutic
regimen on a patient-specific basis, would transform oncology. Toward this end, we have …
regimen on a patient-specific basis, would transform oncology. Toward this end, we have …
Quantitative magnetic resonance imaging and tumor forecasting of breast cancer patients in the community setting
This protocol describes a complete data acquisition, analysis and computational forecasting
pipeline for employing quantitative MRI data to predict the response of locally advanced …
pipeline for employing quantitative MRI data to predict the response of locally advanced …
Quantitative in vivo imaging to enable tumour forecasting and treatment optimization
Current clinical decision-making in oncology relies on averages of large patient populations
to both assess tumour status and treatment outcomes. However, cancers exhibit an inherent …
to both assess tumour status and treatment outcomes. However, cancers exhibit an inherent …