ReviewFrontiers in oncology2013
Current advances in mathematical modeling of anti-cancer drug penetration into tumor tissues.
Review in Frontiers in oncology, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 54 papers.
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Who cites it
54 citing papers in PubMed.
- Assessing Similarity Among Individual Tumor Size Lesion Dynamics: The CICIL Methodology.CPT: pharmacometrics & systems pharmacology · 2018Trial
- Stroma-Mediated Breast Cancer Cell Proliferation Indirectly Drives Chemoresistance by Accelerating Tumor Recovery between Chemotherapy Cycles.Cancer research · 2023Article
- Suppression of sonic hedgehog pathway-based proliferation in glioblastoma cells by small-size silver nanoparticles in vitro.Archives of toxicology · 2023Article
- Mathematical modeling of cancer immunotherapy for personalized clinical translation.Nature computational science · 2022Article
- Measuring competitive exclusion in non-small cell lung cancer.Science advances · 2022Article
- Mathematical Modelling Highlights the Potential for Genetic Manipulation as an Adjuvant to Counter Efflux-Mediated MDR in Salmonella.Bulletin of mathematical biology · 2022Article
- Modified microvessel density based on perfusion distance: a preferable NSCLC prognostic factor.Annals of translational medicine · 2022Article
- Quantitative magnetic resonance imaging and tumor forecasting of breast cancer patients in the community setting.Nature protocols · 2021Review
- Enhanced Drug Delivery to Solid Tumors via Drug-Loaded Nanocarriers: An Image-Based Computational Framework.Frontiers in oncology · 2021Article
- Vessel-on-a-chip models for studying microvascular physiology, transport, and function in vitro.American journal of physiology. Cell physiology · 2021Review
- Towards integration ofScientific reports · 2020Article
- A Review on Applications of Computational Methods in Drug Screening and Design.Molecules (Basel, Switzerland) · 2020Review
- Investigating the Physical Effects in Bacterial Therapies for Avascular Tumors.Frontiers in microbiology · 2020Article
- Drug-Induced Resistance in Micrometastases: Analysis of Spatio-Temporal Cell Lineages.Frontiers in physiology · 2020Article
- Hybrid modeling frameworks of tumor development and treatment.Wiley interdisciplinary reviews. Systems biology and medicine · 2020Review
- A 3D CFD model of the interstitial fluid pressure and drug distribution in heterogeneous tumor nodules during intraperitoneal chemotherapy.Drug delivery · 2019Article
- Micropharmacology: An In Silico Approach for Assessing Drug Efficacy Within a Tumor Tissue.Bulletin of mathematical biology · 2019Article
- Morphophenotypic classification of tumor organoids as an indicator of drug exposure and penetration potential.PLoS computational biology · 2019Article
- In vitro vascularized liver and tumor tissue microenvironments on a chip for dynamic determination of nanoparticle transport and toxicity.Biotechnology and bioengineering · 2019Article
- Dynamics of Breast Cancer under Different Rates of Chemoradiotherapy.Computational and mathematical methods in medicine · 2019Article
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3 authors.
Funding
Abstract
Delivery of anti-cancer drugs to tumor tissues, including their interstitial transport and cellular uptake, is a complex process involving various biochemical, mechanical, and biophysical factors. Mathematical modeling provides a means through which to understand this complexity better, as well as to examine interactions between contributing components in a systematic way via computational simulations and quantitative analyses. In this review, we present the current state of mathematical modeling approaches that address phenomena related to drug delivery. We describe how various types of models were used to predict spatio-temporal distributions of drugs within the tumor tissue, to simulate different ways to overcome barriers to drug transport, or to optimize treatment schedules. Finally, we discuss how integration of mathematical modeling with experimental or clinical data can provide better tools to understand the drug delivery process, in particular to examine the specific tissue- or compound-related factors that limit drug penetration through tumors. Such tools will be important in designing new chemotherapy targets and optimal treatment strategies, as well as in developing non-invasive diagnosis to monitor treatment response and detect tumor recurrence.
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