ArticleBiophysical journal2005
A multiscale model for avascular tumor growth.
Article in Biophysical journal, 2005. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 131 papers.
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Who cites it
131 citing papers in PubMed.
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- Shape modeling of longitudinal medical images: from diffeomorphic metric mapping to deep learning.Frontiers in artificial intelligence · 2025Review
- Impact of stroma remodeling on forces experienced by cancer cells and stromal cells within a pancreatic tumor tissue.Biomedical engineering online · 2024Article
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- Metabolic symbiosis between oxygenated and hypoxic tumour cells: An agent-based modelling study.PLoS computational biology · 2024Article
- Tissue engineering RPE sheet derived from hiPSC-RPE cell spheroids supplemented with Y-27632 and RepSox.Journal of biological engineering · 2024Article
- Modeling Physical Forces Experienced by Cancer and Stromal Cells Within Different Organ-Specific Tumor Tissue.IEEE journal of translational engineering in health and medicine · 2024Article
- Multiscale model of the different modes of cancer cell invasion.Bioinformatics (Oxford, England) · 2023Article
- Sophorolipid Candidates Demonstrate Cytotoxic Efficacy against 2D and 3D Breast Cancer Models.Journal of natural products · 2023Article
- Data-driven spatio-temporal modelling of glioblastoma.Royal Society open science · 2023Review
- Hybrid computational models of multicellular tumour growth considering glucose metabolism.Computational and structural biotechnology journal · 2023Review
- Non-Destructive Evaluation of Regional Cell Density Within Tumor Aggregates Following Drug Treatment.Journal of visualized experiments : JoVE · 2022Article
- A multiscale cell-based model of tumor growth for chemotherapy assessment and tumor-targeted therapy through a 3D computational approach.Cell proliferation · 2022Article
- Designing and interpreting 4D tumour spheroid experiments.Communications biology · 2022Article
- Targeted alpha therapy with theFrontiers in medicine · 2022Article
- A Bayesian approach to estimate the diffusion coefficient of Rhodamine 6G in breast cancer spheroids.Journal of controlled release : official journal of the Controlled Release Society · 2021Article
- Bayesian calibration of a stochastic, multiscale agent-based model for predicting in vitro tumor growth.PLoS computational biology · 2021Article
71 more citing papers are in PubMed but not listed here.
Corrections and comments
- Erratum issued
Authors and funding
4 authors.
Funding
Abstract
The desire to understand tumor complexity has given rise to mathematical models to describe the tumor microenvironment. We present a new mathematical model for avascular tumor growth and development that spans three distinct scales. At the cellular level, a lattice Monte Carlo model describes cellular dynamics (proliferation, adhesion, and viability). At the subcellular level, a Boolean network regulates the expression of proteins that control the cell cycle. At the extracellular level, reaction-diffusion equations describe the chemical dynamics (nutrient, waste, growth promoter, and inhibitor concentrations). Data from experiments with multicellular spheroids were used to determine the parameters of the simulations. Starting with a single tumor cell, this model produces an avascular tumor that quantitatively mimics experimental measurements in multicellular spheroids. Based on the simulations, we predict: 1), the microenvironmental conditions required for tumor cell survival; and 2), growth promoters and inhibitors have diffusion coefficients in the range between 10(-6) and 10(-7) cm2/h, corresponding to molecules of size 80-90 kDa. Using the same parameters, the model also accurately predicts spheroid growth curves under different external nutrient supply conditions.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.