Mathematical Biology Tumor Growth

Modelling cancer cell dormancy in mice: statistical distributions predict reactivation times and survival dynamics

This study models cancer cell dormancy in mice using statistical distributions to predict reactivation times and survival dynamics, finding heavy-tailed and asymmetric distributions best fit dormancy patterns.

Dynamic of Lotka-Volterra model for tumor-host systems under constant or periodic perturbation: implications for the therapy of cancer

This study uses a Lotka-Volterra model to analyze tumor-host dynamics under constant and periodic perturbations, showing that periodic treatment can control aggressive tumors by shifting the system to a non-chaotic attractor.

How Modulation of the Tumor Microenvironment Drives Cancer Immune Escape Dynamics

This paper introduces a stochastic model to study cancer immune escape dynamics, showing how immunomodulation in the tumor microenvironment affects disease recurrence timing in bladder and breast cancer.

Simulations probe the role of space in the interplay between drug-sensitive and drug-resistant cancer cells

This study uses mathematical models to show that spatial factors influence drug response and competition between drug-sensitive and drug-resistant cancer cells.

Mechanistic modeling suggests stroma-targeting antibody-drug conjugates as an alternative to cancer-targeting in cases of heterogeneous target expression

This paper uses mathematical models to compare cancer-targeting and stroma-targeting ADCs, finding that stroma-targeting may be more effective in cases of heterogeneous antigen expression.

Mathematical modelling of tissue growth control by a negative feedback

This study uses mathematical modeling to show that strong negative feedback leads to stable tissue growth, while weak feedback results in unlimited growth.

Simulating The Effect of the Radiotherapy on Cancer Stem Cell Evolution

This study simulates how radiotherapy affects cancer stem cell evolution, showing increased resistance, proliferation, and CSC proportion, and highlights the importance of CSC-targeted treatment.

Modeling tumor dynamics and predicting response to chemo-, targeted-, and immune-therapies in a murine model of pancreatic cancer

The paper develops a mathematical model to predict pancreatic cancer response to various therapies in mice, showing high accuracy in fitting and predicting tumor dynamics.

Integration of immune cell-target cell conjugate dynamics changes the time scale of immune control of cancer

This study shows that explicitly modeling immune cell-cancer cell conjugates in mathematical models changes the time scale and outcomes of tumor control dynamics.

Parameter Estimation and Model Selection for the Quantitative Analysis of Oncolytic Virus Therapy in Zebrafish

This paper develops a mathematical model of oncolytic virus therapy in zebrafish to capture tumor dynamics and inform future cancer treatments.

Spatial organization of mediated-macrophage chemoprotective niches in solid tumors: A mathematical analysis

This paper uses mathematical modeling to show that macrophage-driven protection against chemotherapy arises from spatially structured protective niches, not just biochemical degradation.

Predicting tumour evolution and drug resistance from heterogenous longitudinal cancer data

This paper introduces a Bayesian framework to predict tumour evolution and drug resistance using longitudinal cancer data across three cancer types.

Agent-based modeling reveals impacts of cell adhesion and matrix remodeling on cancer collective cell migration phenotypes

This study uses an agent-based model to show that increased chemoattractant secretion and reduced cell-cell adhesion promote cancer cell transition from spheroid to network phenotypes.

Deficient cell-cell cohesion is linked with lobular localization in simplified models of lobular carcinoma in situ (LCIS)

The paper uses simplified models to show that loss of cell-cell cohesion in LCIS cells leads to lobular localization, linking cohesion to spatial patterns in breast cancer.

A multiscale model of immune surveillance in micrometastases: towards cancer patient digital twins

The paper develops a multiscale mathematical model of immune surveillance in micrometastases to simulate patient trajectories and identify key parameters affecting immunosurveillance outcomes.

A Mathematical Framework for Comparison of Intermittent and Continuous Adaptive Chemotherapy Dosing in Cancer

This paper compares continuous and intermittent adaptive chemotherapy dosing using mathematical models, finding continuous adaptive therapy more robust and effective in delaying tumor growth.

Characterising cancer cell responses to cyclic hypoxia using mathematical modelling

This study develops a mathematical model to simulate cancer cell responses to cyclic hypoxia and shows varying cell responses based on oxygen fluctuation dynamics.

Modeling Oncolytic Vaccinia Virus Therapy Highlights Neutrophil Impact on Tumor Suppression

This study uses an ODE model to show that neutrophil depletion enhances oncolytic vaccinia virus efficacy in melanoma by reducing viral clearance.

PhysiMeSS - A New PhysiCell Addon for Extracellular Matrix Modelling

PhysiMeSS extends PhysiCell to model extracellular matrix fibers and their interactions, enabling more accurate simulations of cancer metastasis.

Predicting treatment-free remission outcomes in Chronic Myeloid Leukemia patients using an integrated model of tumor-immune dynamics

This paper develops a model integrating tumor-immune dynamics to predict treatment-free remission in CML patients using time-course data on NK cells and tumor load.

From tumor microenvironment to immuno-therapeutic outcomes for solid tumors: A systems theoretic approach

This paper develops a systems-theoretic formalism to analyze tumor microenvironment (TME) dynamics and predict immune checkpoint inhibitor (ICI) response by identifying attractor transitions and subtype-specific therapies.

Optimal control of combination immunotherapy for a virtual murine cohort in a glioblastoma-immune dynamics model

This paper optimizes combination immunotherapy regimens for glioblastoma using a virtual murine cohort and finds personalized treatment improves survival.

MLPA: A Multi-scale Digital Twin Framework for Personalized Cancer Simulation and Treatment Optimization

This paper introduces MLPA, a digital twin framework for personalized cancer simulation and treatment optimization, showing high predictive accuracy in tumor growth and drug response.

From in vitro to in silico: a pipeline for generating virtual tissue simulations from real image data

The paper develops an accessible pipeline for generating virtual tissue simulations from real 3D image data using open-source software and the Cellular Potts Model.

Cancer-immune coevolution dictated by antigenic mutation accumulation

This study presents an individual-based model of cancer-immune coevolution, showing how mutation accumulation and immune interactions influence tumour progression outcomes.

Parameter estimation in the Montijano-Bergues-Bory-Gompertz stochastic model for unperturbed tumor growth

This paper develops a stochastic version of the Montijano-Bergues-Bory-Gompertz equation to model unperturbed tumor growth, estimating parameters and revealing transitions between avascular and vascular phases.

On the equivalence between Agent-Based and Continuum models for cell population modeling. Application to glioblastoma evolution in microfluidic devices

This paper establishes a link between agent-based and continuum models for cell population modeling, demonstrating their equivalence through glioblastoma evolution simulations in microfluidic devices.

Understanding therapeutic tolerance through a mathematical model of drug-induced resistance

This paper develops a mathematical model of drug-induced resistance that fits experimental data and identifies optimal dosing strategies to minimize tumor cell volume.

Agent-Based Modeling of Virtual Tumors Reveals the Critical Influence of Microenvironmental Complexity on Immunotherapy Efficacy

This study compares ODE and ABM models to show how spatial components affect immunotherapy outcomes in tumors with different antigenicity and CTL killing mechanisms.

Virtual Clinical Trials of BMP4 Differentiation Therapy: Digital Twins to Aid Successful Glioblastoma Trial Design

This paper develops a mathematical model of GBM tumor growth and evaluates BMP4 as a differentiation therapy through virtual clinical trials, finding that continuous BMP4 delivery during radiotherapy is more effective than a single dose.