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April 26, 2026Frontiers in Nutrition0 citationsOpen Access

Improving the protein quality of New Zealand vegan diets: an optimisation modelling approach incorporating energy constraints and diet acceptability

BSBi Xue Patricia SohMVMatthieu VignesNSNick W. Smith

Key Points

  • This research aims to identify and improve the shortcomings in protein and indispensable amino acids (IAAs) within New Zealand vegan diets through optimisation modelling.
  • Calculated protein and IAA shortfalls in the diets of New Zealand vegans across three clusters.
  • Utilized linear programming for energy-tailored optimisation to incorporate protein-rich foods into daily diets.
  • Conducted post-optimisation analyses to assess changes in protein, IAAs, dietary fibre, and micronutrients.
  • 85% of cluster 1 diets showed protein and IAA shortfalls versus 61.1% in cluster 2 and 30.8% in cluster 3.
  • Optimisation resolved dietary shortfalls in 90% of daily diets while maintaining individual acceptability.
  • Post-optimisation analysis indicated ongoing risks for calcium, vitamin B12, and iodine deficiencies.

Abstract

Introduction Under consumption of certain indispensable amino acids (IAAs) is common in poorly planned vegan diets, but targeted dietary modifications through optimisation modelling can improve the overall protein adequacy and protein quality of these diets. Methods Shortfalls in protein and IAAs in the existing diets of a sample of New Zealand vegans (stratified into three clusters with varying protein intake) were calculated by comparing daily intakes to individual requirements. An energy-tailored optimisation using linear programming was used to add protein-rich foods present in each individual’s current diet to meet all protein and IAA requirements while respecting serving-size constraints and remaining within individual energy boundaries. When daily diets exceeded upper energy constraints, energy-dense and low-protein foods were identified and removed to accommodate the addition of protein-dense foods. Post-optimisation analysis assessed changes in intake of protein, IAAs, dietary fibre and selected micronutrients, with results compared across clusters. Results Protein and IAA shortfalls were more prevalent in cluster 1 (85% of daily diets) compared to clusters 2 (61.1%) and 3 (30.8%). Legumes and pulses contributed most to total protein and lysine at lower energy costs, while nuts and seeds contributed most to methionine and leucine, but at higher energy costs. Optimisation resolved shortfalls using habitual diets in 90% of the daily diets. Post-optimisation micronutrient analysis showed continued risks of shortfalls for calcium, vitamin B12 and iodine. Discussion Mathematical optimisation can enhance the protein adequacy and protein quality of vegan diets while preserving some individual acceptability. However, full adequacy remains challenging in energy-constrained diets with large deficits in protein and IAAs.

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Cite This Study

Soh et al. (2026) studied this question.

synapsesocial.com/papers/69edaa9b4a46254e215b31fbhttps://doi.org/10.3389/fnut.2026.1807755
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