A framework for performing data-driven modeling of tumor growth with radiotherapy treatment

H Cho, AL Lewis, KM Storey, R Jennings… - Using Mathematics to …, 2021 - Springer
… vessels for tumors growing in vivo) may undergo necrotic cell death in response to sustained
… This results in greater mixing in our posterior MCMC chains by preventing the algorithm

Quantitative in vivo imaging to enable tumour forecasting and treatment optimization

G Lorenzo, DA Hormuth II, AM Jarrett… - Cancer, complexity …, 2022 - Springer
… Similar to radiation therapy, challenges for modeling … a computer simulation of the
spatiotemporal development of … In this section, we describe the Occam Plausibility Algorithm

Forecasting tumor and vasculature response dynamics to radiation therapy via image based mathematical modeling

DA Hormuth, AM Jarrett, TE Yankeelov - Radiation Oncology, 2020 - Springer
… points 2 to 5 via a hybrid simulated-annealing Levenberg-Marquardt algorithm [25]. Briefly,
… carrying capacity may not reflect the true in vivo or clinical scenario. Finally, we acknowledge …

In silico modelling and simulation of tumour growth and response to radiotherapy

CS Marrero - 2021 - theses.hal.science
… 56 3.3 Distribution of pO2 in prostate tumour either reported from in vivo data or simulated
with … Computational modelling emerges as an appealing tool to include all these mechanisms …

Radial basis function-generated finite difference scheme for simulating the brain cancer growth model under radiotherapy in various types of computational domains

M Dehghan, N Narimani - Computer Methods and Programs in …, 2020 - Elsevier
… The numerical simulations show the growth of untreated and … growth and its response to XRT
for individual patients in vivo [… in recent years, some numerical algorithms for computing the …

[HTML][HTML] Towards the virtual tumor for optimizing radiotherapy treatments of hypoxic tumors: A novel model of heterogeneous tissue vasculature and oxygenation

F Schiavo, EK Lindblom, I Toma-Dasu - Journal of Theoretical Biology, 2022 - Elsevier
… diameter followed by the generation of the vascular network using the fractal algorithm. This
… imaging that is not applicable to in vivo deep-seated tumors and thus not translatable to the …

Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling

AP Browning, TD Lewin, RE Baker, PK Maini… - Bulletin of mathematical …, 2024 - Springer
radiotherapy response in new patients. To demonstrate our framework, we focus our analysis
on prediction of the tumour … obtain these using an adaptive MCMC algorithm (Vihola 2020), …

Computational approaches to modelling and optimizing cancer treatment

TO McDonald, YC Cheng, C Graser, PB Nicol… - Nature Reviews …, 2023 - nature.com
… basis for modelling cell survival after radiation treatment owing to … This model was
parameterized using in vitro treatment response … As a result, efficient algorithms and high-performance …

A time-resolved experimental–mathematical model for predicting the response of glioma cells to single-dose radiation therapy

J Liu, DA Hormuth, T Davis, J Yang… - Integrative …, 2021 - academic.oup.com
… -resolved response of tumor cells to a single-dose of radiation therapy. We then conduct in
vitro, … the parameters in a semiautomatic segmentation algorithm and then teste the calibrated …

Towards an image-informed mathematical model of in vivo response to fractionated radiation therapy

DA Hormuth, AM Jarrett, T Davis, TE Yankeelov - Cancers, 2021 - mdpi.com
… a hybrid simulated-annealing Levenberg-Marquardt algorithm [21]. All parameters were
considered to be global (uniform throughout the domain) with the exception of k p,T , which was …