Mathematical Biology Tumor Growth

Modeling VEGF and GLUT1 Expression as Coadapted Foraging Strategies in Cancer

This paper models VEGF and GLUT1 as coadapted foraging strategies in cancer, showing that resource-sharing dynamics influence their expression and therapeutic effectiveness.

A Hybrid PINN-DE Framework for Data-Driven Parameter Estimation of Tumor-Immune Dynamics in Bladder Cancer

This paper develops a hybrid PINN-DE framework for parameter estimation in tumor-immune dynamics of bladder cancer, showing improved accuracy and efficiency compared to individual methods.

Dynamic cancer dormancy and awakening emerge from tumor microenvironment feedback in a minimal theoretical model

This paper presents a theoretical model showing how tumor microenvironment feedback can lead to dynamic cancer dormancy and awakening through changing cancer-host interactions.

Time-dependent memory of hypoxia exposure influences tumor invasion dynamics

The paper shows hypoxic memory in cancer cells affects tumor invasion dynamics through time-dependent changes in cell state and spatial oxygen dynamics.

Multiscale modeling of the spatial structure of stem cells in neuroblastoma patient-derived tumoroids reveals a critical role for a short-range diffusive process

This study uses a multiscale agent-based model to show that short-range diffusive signaling among stem cells is critical for reproducing the spatial structure of neuroblastoma tumoroids.

Targeting cancer-associated fibroblasts for treatment of ER+ breast cancer: A mathematical modeling perspective and optimization of treatment strategies

This paper uses mathematical modeling to show that targeting cancer-associated fibroblasts can improve treatment efficacy for ER+ breast cancer across different estrogen dosing regimens.

Triangular Invariant Sets for Containment of Drug Resistance Under Evolutionary Therapy

The paper develops a framework for containment of drug resistance using triangular invariant sets in evolutionary therapy, showing how mutation thresholds affect containment robustness.

Cancer resistance to therapy by tissue-level homeostatic feedback

The paper explains cancer resistance to therapy through tissue-level homeostatic feedback, showing that malignant cells retain tissue-specific signaling patterns from healthy tissues.

A novel combination therapy for ER+ breast cancer suppresses drug resistance via an evolutionary double-bind

The paper develops a combination therapy for ER+ breast cancer that uses an evolutionary double-bind strategy to suppress drug resistance.

Nonlocal Proliferation and Explosive Tumour Dynamics: Mechanistic Modelling and Bayesian Inference

This paper introduces a mechanistic tumour-growth model with nonlocal feedback and Bayesian inference to explain explosive tumour dynamics and quantify their parameters from data.

Leveraging Experimental Vasculature Data for High Resolution Brain Tumor Simulations

The paper uses high-resolution vascular data from mouse brains to simulate tumor growth, finding vessel density strongly influences growth rate and enabling brain-wide tumor predictions.

Force-Dependent Cell-Cell Adhesion Dynamics in a Stochastic Regime for Cancer Invasion

The paper extends a cancer invasion model by incorporating stochastic N-cadherin bond lifetimes dependent on pulling force, predicting reduced motility and a transition between catch- and slip-bond behavior.

Reduced-order modeling of solute transport within physiologically realistic solid tumor microenvironment

The paper develops a reduced-order model for plasma transport in tumors by integrating CFD simulations with a RAD model, showing improved accuracy with EHD effects.

A virtual cohort framework with applications to adoptive cell therapy in bladder cancer

This paper develops a virtual cohort framework to stratify individuals into treatment subgroups and applies it to a murine bladder cancer dataset to generate synthetic mice replicating tumor dynamics and experimental outcomes.

Tumor Organoids Modeling Reveals Timed Responses and Interplay of Radiotherapy and Chemotherapy in Pancreatic Cancer

This study models the therapeutic effects of chemotherapy, radiotherapy, and their combination on patient-derived tumor organoids using mathematical frameworks, revealing heterogeneous treatment responses and synergistic interactions.

Growth rate-driven modelling suggests that phenotypic adaptation drives drug resistance in BRAFV600E-mutant melanoma

The paper develops a model to show phenotypic adaptation drives drug resistance in BRAFV600E-mutant melanoma and suggests intermittent treatments may be more effective.

Stochastic modelling of prostate progenitor architecture

This study models prostate cancer emergence using compartmental stochastic simulations to show how luminal compartment dynamics drive rapid tumor growth, while basal compartment tumors are more aggressive and persistent.

CellSwarm: LLM-Driven Cell Agents Recapitulate Tumor Microenvironment Dynamics and Sense Indirect Genetic Perturbations

CELLSWARM uses LLM-driven agents to simulate tumor microenvironment dynamics, outperforming rule-based models in cross-cancer generalization and sensing indirect genetic perturbations.

Calcium Signalling in Glioblastoma Networks of Different Topologies and Possible Treatments

This study models calcium signaling in glioblastoma networks, testing hypotheses about periodic cells and their role in network communication and vulnerability to disruption.

Optimising Chemotherapy for Advanced High-Grade Serous Ovarian Cancer via Delay-Differential Equations

The paper develops a delay-differential equation model of HGSOC to optimize chemotherapy regimens, finding that low-dose frequent dosing reduces toxicity while maintaining efficacy.

Modelling Immune Dynamics in Locally Advanced MSI-H/dMMR Colorectal Cancer with Neoadjuvant Pembrolizumab Treatment: From Differential Equations to an Agent-Based Framework

This paper develops a differential equation model and converts it to an agent-based model to simulate immune dynamics in MSI-H/dMMR colorectal cancer under pembrolizumab treatment.

Age and Generation-Based Model of Metastatic Cancer: From Micrometastases to Macrometastases

The paper develops an age and generation-based model of metastatic cancer that reformulates tumor growth and spread using age and generational ancestry, improving numerical stability and interpretability over traditional size-based models.

Phase transitions in tumor growth IX: gastric cancer metastasis

This paper introduces a three-compartment model of gastric cancer metastasis using nonlinear dynamics and thermodynamics, identifying a dissipation function as a marker of metastatic robustness and therapeutic target.

Forecasting tumor growth kinetics and hypoxia levels in mice using mathematical modelling

This study develops a mathematical model to describe tumor growth and hypoxia in mice, integrating bioluminescence imaging to explain signal dynamics through vascular and hypoxic effects.

A phenotype-structured PDE framework for investigating the role of hypoxic memory on tumor invasion under cyclic hypoxia

This paper develops a PDE framework to model hypoxic memory's impact on tumor invasion under cyclic hypoxia, showing enhanced invasion without reduced tumor volume.

Enhancing Predictive Accuracy in Immunotherapy Models through Data Integration and Parameter Identifiability

This study improves immunotherapy model predictions by integrating data and ensuring parameter identifiability using ODE models and bladder cancer data.

Delaying Cancer Progression by Integrating Toxicity Constraints in a Model of Adaptive Therapy

This paper develops a mathematical model to assess how incorporating toxicity feedback affects adaptive cancer therapy, finding that toxicity-induced treatment breaks can extend time to progression.

Migrastatic Therapy as a Potential Game-Changer inAdaptive Cancer Treatment

This study proposes integrating migrastatics into adaptive therapy to delay metastasis and improve cancer treatment outcomes.

Spiral Waves and Turbulence in Mathematical Models of Oncolytic Virotherapy

This paper analyzes the spatiotemporal dynamics of oncolytic virotherapy using mathematical models, showing that spiral waves and turbulence emerge naturally from kinetic Hopf bifurcations.

Conditional Success of Adaptive Therapy: The Role of Treatment-Holiday Thresholds and Non-Existence of Optimal Strategies Revealed by Mathematical Modelling and Optimal Control

This paper uses mathematical modeling to show adaptive therapy's success depends on treatment thresholds and competitive interactions, with no optimal strategy due to impractical infinite treatment holidays.