Utility of local capillary supply indices: Insights from computational image-based modelling



Al-Shammari, Abdullah A, Kissane, Roger WP ORCID: 0000-0001-9385-2584, Ashkanani, Ali, Madhoun, Ashraf Al, Al-Mulla, Fahd, Gaffney, Eamonn A and Egginton, Stuart
(2025) Utility of local capillary supply indices: Insights from computational image-based modelling JOURNAL OF PHYSIOLOGY-LONDON, 604 (19). ISSN 0022-3751, 1469-7793

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Abstract

Abstract: Muscle oxygenation critically depends on capillary number and distribution within a tissue. Despite the development of numerous morphometric indices to quantify these attributes, many lack sensitivity or validation against local oxygen tension ((Formula presented.)) in muscle fibres, leading to uncertainty about their physiological relevance and utility for gauging adaptive changes. We assessed six local supply indices to determine which best correlated with and predicted calculated fibre (Formula presented.), using high-throughput histological analysis and image-based computational modelling of oxygen transport on digitised rat tibialis anterior sections: capillary contacts (CC<inf>i</inf>), individual capillary-to-fibre ratio (C:F<inf>i</inf>), capillary-to-fibre perimeter exchange (CFPE<inf>i</inf>), local capillary-to-fibre ratio (LCFR<inf>i</inf>), local capillary density (LCD<inf>i</inf>) and a novel index, D<inf>max,</inf><inf>i</inf>, which averages the maximum diffusion distances from capillary domains that overlap a fibre. LCD<inf>i</inf> and D<inf>max,</inf><inf>i</inf> exhibited the strongest correlations with fibre (Formula presented.) (linear correlation: 0.8874 and −0.9054, respectively; P < 0.0001). Distance-correlation analysis confirmed both indices as robust predictors of fibre oxygenation (distance correlation: 0.85 and 0.79, respectively; P < 0.0001), demonstrating their ability to capture a curvilinear relationship that plateaus as mean fibre (Formula presented.) approaches the capillary source (Formula presented.) (P < 0.0001). Partial least squares and tree-ensemble regressions further identified both indices as the most sensitive and critical predictors of fibre (Formula presented.) (P < 0.001), suggesting they are less likely to miss early pathophysiological or adaptive responses. These findings support the use of theoretically validated morphometric indices in research and clinical applications, to enhance understanding of fundamental muscle physiology and improve the diagnosis and treatment of muscle-related pathology. (Figure presented.). Key points: Assessing muscle oxygenation is fundamental to understanding muscle function and its adaptive or pathological responses. Many indices are used to describe capillary O<inf>2</inf> supply in skeletal muscle, but their physiological relevance in assessing local oxygenation remains uncertain. Using computational modelling of oxygen transport and machine learning, we evaluated six supply indices for their sensitivity in predicting fibre (Formula presented.). Area-based indices (LCD<inf>i</inf> and D<inf>max,</inf><inf>i</inf>) were identified as the most robust predictors of oxygenation and therefore better descriptors of pathophysiological and adaptive responses. These findings are expected to improve both research and clinical assessments of muscle health, streamlining methodologies and enhancing the diagnostic potential for muscle-related pathologies.

Item Type: Article
Uncontrolled Keywords: capillary supply, computational modelling, microvascular geometry, morphometric indices, oxygen delivery, skeletal muscle
Divisions: Faculty of Health & Life Sciences
Faculty of Health & Life Sciences > Inst. Life Courses & Medical Sciences
Faculty of Health & Life Sciences > Inst. Life Courses & Medical Sciences > Musculoskeletal & Ageing Science
Depositing User: Symplectic Admin
Date Deposited: 20 Nov 2025 08:45
Last Modified: 07 Oct 2026 07:20
DOI: 10.1113/JP288043
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3195503
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