Mathematical Biology Tumor Growth

Equations describing semi-confluent cell growth (II) Colony formation on a flat surface

The paper develops a model for non-symmetrical multilayer cell growth on a solid plate, using ordinary differential equations to describe variable contact inhibition and colony formation kinetics.

Open Benchmarking for Cell-Based Multiscale Models: Lessons from a Community Initiative

This paper presents a community-driven benchmarking initiative for cell-based multiscale models, highlighting variations in tool implementations and advocating for standardized benchmarks and interoperability.

On the design and stability of cancer adaptive therapy cycles: deterministic and stochastic models

This paper develops deterministic and stochastic models to analyze the design and stability of adaptive therapy cycles for cancer treatment.

Using spatial statistics to infer game-theoretic interactions in an agent-based model of cancer cells

This paper uses spatial statistics from single time-point images to classify game-theoretic interactions between drug-sensitive and resistant cancer cells using an agent-based model.

Personalized cancer treatment strategies incorporating irreversible and reversible drug resistance mechanisms

This study enhances a personalized cancer treatment strategy by incorporating both irreversible and reversible drug resistance mechanisms, showing improved patient outcomes compared to current approaches.

Investigating the Impact of Omental Adipocytes on Ovarian Cancer: Insights from a 3D in-silico model

This study develops a 3D in-silico model to investigate how omental adipocytes influence ovarian cancer progression by simulating the effects of adipose media concentration, treatment dosage, and initial tumour size.

Mechanistic modeling and machine learning identifies optimum radiotherapy schedules to prevent treatment-induced metastasis

The paper identifies optimal radiotherapy schedules to reduce metastasis by combining mechanistic modeling and machine learning with in silico clinical trials.

Distinct evolutionary patterns of tumor immune escape and elimination determined by ECM architectures

This study uses a computational model to show how tumor-associated collagen signatures influence immune escape and survival in breast cancer.

A Mathematical Model of Persister Cell Plasticity and Its Impact on Adaptive Cancer Therapy

This study uses a spatial agent-based model to show that persister cells reduce treatment efficacy in adaptive cancer therapy by providing a reservoir for genetic resistance.

Multiscale modeling predicts dependence of mesenchymally transitioned tumor niche fitness on cell-cell and cell-matrix adhesions

The paper uses a multiscale model to show that mesenchymally transitioned tumor niches outcompete parental niches under specific adhesion and ECM conditions.

Identifiability of phenotypic adaptation from low-cell-count experiments and a stochastic model

This paper develops a stochastic model to assess the identifiability of phenotypic adaptation parameters from low-cell-count experiments and shows that cell-to-cell heterogeneity is non-identifiable from population-level data.

Start&Stop - a PhysiCell and PhysiBoSS 2.0 add-on for interactive simulation control

Start&Stop enables interactive simulation control in PhysiCell and PhysiBoSS 2.0 by allowing parameter adjustments during simulations.

Chemotherapy dose scheduling via Q-learning in a Markov tumor model

This paper uses Q-learning in a Markov tumor model to optimize chemotherapy dose scheduling, identifying evolutionary paths, robustness, and simplified policies for balanced tumor cell coexistence.

Study of combination CAR T-cell treatment for glioblastoma using mathematical modeling

This study uses a mathematical model to explore combination CAR T-cell treatments for glioblastoma, showing that early intervention and spatially targeted delivery are effective strategies.

Spatio-temporal dynamics of M1 and M2 macrophages in a multiphase model of tumor growth

This study models tumor growth and macrophage dynamics in a multiphase system, showing how macrophage heterogeneity affects tumor progression and proposing an immunotherapeutic strategy.

Spatiotemporal dynamics of tumor-CAR T-cell interaction following local administration in solid cancers

This study develops a spatiotemporal model to simulate CAR T-cell therapy in solid tumors, showing that local administration is most effective against slow-growing, highly diffusive tumors with low cell density.

Optimizing the Efficacy of Vaccine-Induced Immunotherapy in Melanomas

The paper optimizes vaccine and anti-PD1 combination therapy for melanoma by using a mathematical model and optimization algorithm to determine the best treatment protocol.

A Stochastic Modelling Framework for Cancer Patient Trajectories: Combining Tumour Growth, Metastasis, and Survival

This paper introduces a stochastic modelling framework for cancer progression that integrates tumour growth, metastasis, and survival, using clinical data to analyze patient trajectories.

Optimal treatment for drug-induced cancer persisters involves release periods and intermediate drug doses

This study uses mathematical modeling to show that optimal cancer treatment involves intermittent dosing with lower drug concentrations and recovery periods, potentially improving efficacy over continuous regimens.

Optimal targeted therapy for multiple cancers based on contrastive Notch signaling networks

This study develops mathematical models of contrasting Notch signaling pathways in multiple cancers to identify optimal targeted therapies that vary by cancer stage.

Mathematical Modeling of Cancer Cell Invasion of Tissue: Development of an in silico Organotypic Assay

The paper develops an in silico model of cancer cell invasion in organotypic assays, showing that adhesion parameters affect tumor invasiveness.

Virtual clinical trial reveals significant clinical potential of targeting tumour-associated macrophages and microglia to treat glioblastoma

The paper develops a mathematical model of glioblastoma growth and immune interactions, showing that targeting TAMs to enhance their antitumoral properties could significantly improve treatment outcomes.

A quantitative characterization of the heterogeneous response of glioblastoma U-87 MG cell line to temozolomide

The paper quantifies phenotypic heterogeneity in glioblastoma cells' response to temozolomide, showing non-genetic factors drive differential drug response.

Falsifying computational models of endothelial cell network formation through quantitative comparison with in vitro models

The paper compares in vitro endothelial cell network formation with three computational models to validate which model best captures the dynamics of network remodelling.

Spatiotemporal Simulation of Radiotherapy Impact on Stage III Sigmoid Colon Cancer Using a Metabolically Coupled Agent-Based Model

This paper develops an agent-based model to simulate radiotherapy effects on Stage III sigmoid colon cancer, revealing tumor volume reduction, resistant subclone emergence, and immune infiltration variability.

Exploring the role of EMT in Ovarian Cancer Progression: Insights from a multiscale mathematical model

This study uses a multiscale mathematical model to explore how EMT influences ovarian cancer progression in two cell lines, finding that EMT and cell cycle parameters significantly affect tumor dynamics.

Protrusion force and cell-cell adhesion-induced polarity alignment govern collective migration modes

This paper develops a computational model to study how protrusion force and cell-cell adhesion influence collective migration modes in microtumors under hypoxia.

Quantitative cancer-immunity cycle modeling for predicting disease progression in advanced metastatic colorectal cancer

This paper develops a quantitative cancer-immunity cycle model to predict disease progression and survival in advanced metastatic colorectal cancer by integrating clinical data and virtual patient technology.

A hybrid computational model of cancer spheroid growth with ribose-induced collagen stiffening

This study uses a hybrid computational model to show that increased ECM stiffness inhibits invasion in aggressive cancer cells but not in non-invasive ones.

Predicting Treatment Outcomes from Adaptive Therapy -- A New Mathematical Biomarker

This paper develops mathematical biomarkers to predict treatment outcomes for adaptive therapy in cancer, showing personalized strategies outperform standard-of-care protocols.