A physiologically-based flow network model for hepatic drug elimination III: 2D/3D DLA lobule models
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BACKGROUND: One of the major issues in current pharmaceutical development is potential hepatotoxicity and drug-induced liver damage. This is due to the unique metabolic processes performed in the liver to prevent accumulation of a wide range of chemicals in the blood. Recently, we developed a physiologically-based lattice model to address the transport and metabolism of drugs in the liver lobule (liver functional unit). METHOD: In this paper, we extend our idealized model to consider structural and spatial variability in two and three dimensions. We introduce a hexagonal-based model with one input (portal vein) and six outputs (hepatic veins) to represent a typical liver lobule. To capture even more realistic structures, we implement a novel sequential diffusion-limited aggregation (DLA) method to construct a morphological sinusoid network in the lobule. A 3D model constructed with stacks of multiple 2D sinusoid realizations is explored to study the effects of 3D structural variations. The role of liver zonation on drug metabolism in the lobule is also addressed, based on flow-based predicted steady-state O2 profiles used as a zonation indicator. RESULTS: With this model, we analyze predicted drug concentration levels observed exiting the lobule with their detailed distribution inside the lobule, and compare with our earlier idealized models. In 2D, due to randomness of the sinusoidal structure, individual hepatic veins respond differently (i.e. at different times) to injected drug. In 3D, however, the variation of response to the injected drug is observed to be less extreme. Also, the production curves show more diffusive behavior in 3D than in 2D. CONCLUSION: Although, the individual producing ports respond differently, the average lobule production summed over all hepatic veins is more diffuse. Thus the net effect of all these variations makes the overall response smoother. We also show that, in 3D, the effect of zonation on drug production characteristics appears quite small. Our new biophysical structural analysis of a physiologically-based 3D lobule can therefore form the basis for a quantitative assessment of liver function and performance both in health and disease.
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The liver lobules are 0.5-1 mm in diameter and defined by sites of portal venous and arterial inflow and central venous outflow.
“The liver is composed of parenchymal, non-parenchymal, and immune cells that are organized into anatomic structures called lobules, which are 0.5–1 mm in diameter and defined by sites of portal venous and arterial inflow and central venous outflow1,2.”
From Spatial transcriptomics of healthy and fibrotic human liver at single-cell resolution (2025) · cites this paper as [1]
The Background section, “The liver lobule functional unit” (page unavailable), describes a classic lobule with a central hepatic venule and portal tracts at its corners. The Background also mentions flow from portal vein and hepatic artery segments to a hepatic vein in a model it discusses. Our copy does not give a 0.5–1 mm lobule diameter; its Methods describe a modeled diameter of 1.536 mm. Thus the vascular description is supported, but the stated diameter is not. (LLM, conf=0.85)
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Spatial transcriptomics of healthy and fibrotic human liver at single-cell resolution
Watson, B. R., Paul, B., Rahman, R. U., Amir-Zilberstein, L., Segerstolpe, Å., Epstein, E. T., Murphy, S., Geistlinger, L., Lee, T., Shih, A., et al. (2025) · Nature Communications · doi:10.1038/s41467-024-55325-4 · Cited by 123 · see citing works
- Authors
- Rezania, V., Coombe, D., & Tuszynski, J. A.
- Affiliations
- MacEwan University (CA)
- Computer Modelling Group (Canada) (CA)
- Corresponding author
- Rezania, Vahid
- ORCID
- Rezania, Vahid
- Venue
- Theoretical Biology and Medical Modelling
- Published
- 2016-03-03
- Volume
- 13
- Issue
- 1
- Pages
- 9-9
- ISSN
- 1742-4682 (ISSN-L)
- PMC
- PMC4778290
- OpenAlex
- W2292226965
- Cited by
- 24
- References
- 2
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 3 · 2023: 1 · 2022: 1 · 2021: 2 · 2020: 4 · 2019: 4 · 2018: 2 · 2017: 2 · 2016: 2
- FWCI
- 4.19
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- cc-by
- Locations
- Theoretical Biology and Medical Modelling (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Funders
- Natural Sciences and Engineering Research Council of Canada
- Topics
- Life Sciences › Pharmacology, Toxicology and Pharmaceutics › Pharmacology › Drug-Induced Hepatotoxicity and Protection
- Health Sciences › Medicine › Hepatology › Liver physiology and pathology
- Life Sciences › Pharmacology, Toxicology and Pharmaceutics › Pharmacology › Pharmacogenetics and Drug Metabolism
- Keywords
- liver lobule, hepatic drug elimination, diffusion-limited aggregation, hexagonal lattice model, liver zonation, drug metabolism, hepatic blood flow, oxygen distribution, drug-induced liver injury, hepatotoxicity
- MeSH terms
- Algorithms, Antineoplastic Agents, Biological Transport, Computer Simulation, Diffusion, Pharmaceutical Preparations, Humans, Liver, Inactivation, Metabolic, Neoplasms, Oxygen, Chemical and Drug Induced Liver Injury
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