6 papers
Parameter Estimation in Recurrent Tumor Evolution with Finite Carrying Capacity
Kevin Leder, Zicheng Wang, Xuanming Zhang
In this work, we investigate the population dynamics of tumor cells under therapeutic pressure. Although drug treatment initially induces a reduction in tumor burden, treatment fai…
A statistical framework for detecting therapy-induced resistance from drug screens
Chenyu Wu, Einar Bjarki Gunnarsson, Jasmine Foo +1
Resistance to therapy remains a significant challenge in cancer treatment, often due to the presence of a stem-like cell population that drives tumor recurrence post-treatment. Mor…
Novel Optimization Techniques for Parameter Estimation
Chenyu Wu, Nuozhou Wang, Casey Garner +2
In this paper, we introduce a new optimization algorithm that is well suited for solving parameter estimation problems. We call our new method cubic regularized Newton with affine…
Prediction of cancer dynamics under treatment using Bayesian neural networks: A simulated study
Even Moa Myklebust, Arnoldo Frigessi, Fredrik Schjesvold +3
Predicting cancer dynamics under treatment is challenging due to high inter-patient heterogeneity, lack of predictive biomarkers, and sparse and noisy longitudinal data. Mathematic…
Parameter Estimation from Single Patient, Single Time-Point Sequencing Data of Recurrent Tumors
Kevin Leder, Ruping Sun, Zicheng Wang +1
In this study, we develop consistent estimators for key parameters that govern the dynamics of tumor cell populations when subjected to pharmacological treatments. While these trea…
Spatial measures of genetic heterogeneity during carcinogenesis
K. Storey, M. D. Ryser, K. Leder +1
In this work we explore the temporal dynamics of spatial heterogeneity during the process of tumorigenesis from healthy tissue. We utilize a spatial stochastic process model of mut…