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        <identifier>oai:figshare.com:article/33771982</identifier>
        <datestamp>2026-09-15T05:38:13Z</datestamp>
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        <oai_dc:dc xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"  xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
          <dc:title>Data Sheet 1_A Gyroid TPMS-based machine learning framework for rapid prediction of cancellous bone mechanical properties.zip</dc:title>
          <dc:creator>Xinzhe Chen (24139619)</dc:creator>
          <dc:creator>Jiqing Chen (616977)</dc:creator>
          <dc:creator>Fengchong Lan (616976)</dc:creator>
          <dc:subject>Biotechnology</dc:subject>
          <dc:subject>cancellous bone</dc:subject>
          <dc:subject>machine learning</dc:subject>
          <dc:subject>mechanical properties</dc:subject>
          <dc:subject>parametric modeling</dc:subject>
          <dc:subject>TPMS</dc:subject>
          <dc:description>Introduction&lt;p&gt;High-fidelity finite-element analysis of cancellous bone is computationally expensive, particularly when large parameter spaces must be explored. This study developed a rapid surrogate-modeling framework integrating parametric Gyroid modeling, finite-element analysis, and machine learning to predict the apparent mechanical properties of cancellous-bone models.&lt;/p&gt;Methods&lt;p&gt;Trabecular tissue Young’s modulus (E&lt;sub&gt;t&lt;/sub&gt;), tissue failure strain (ε&lt;sub&gt;t&lt;/sub&gt;), bone volume fraction (BV/TV), and degree of anisotropy (DA) were used as inputs. A database of 200 parameter combinations was generated using Latin hypercube sampling, with apparent Young’s modulus (E&lt;sub&gt;c&lt;/sub&gt;) and failure stress (σ&lt;sub&gt;c&lt;/sub&gt;) obtained from finite-element simulations as separate outputs. Multiple linear regression, quadratic polynomial regression, support vector regression, Kriging, and a backpropagation neural network were evaluated using nested five-fold cross-validation.&lt;/p&gt;Results&lt;p&gt;The finite-element model reproduced published uniaxial compression responses. BPNN achieved the best prediction of E&lt;sub&gt;c&lt;/sub&gt; (R&lt;sub&gt;2&lt;/sub&gt; = 0.9993 ± 0.0003, NRMSE = 0.0256 ± 0.0027, MAPE = 1.68 ± 0.38%), whereas SVR performed best for σ&lt;sub&gt;c&lt;/sub&gt; (R&lt;sub&gt;2&lt;/sub&gt; = 0.9987 ± 0.0004, NRMSE = 0.0352 ± 0.0030, MAPE = 2.23 ± 0.45%). Response-surface analysis showed that E&lt;sub&gt;t&lt;/sub&gt; and BV/TV primarily governed apparent stiffness, while failure stress was additionally sensitive to ε&lt;sub&gt;t&lt;/sub&gt;.&lt;/p&gt;Discussion&lt;p&gt;The proposed framework provides an accurate and computationally efficient approach for rapid prediction, parameter screening, response-surface analysis, and structural design exploration within the investigated Gyroid model space.&lt;/p&gt;</dc:description>
          <dc:date>2026-09-15T05:38:13Z</dc:date>
          <dc:type>Dataset</dc:type>
          <dc:type>Dataset</dc:type>
          <dc:identifier>10.3389/fbioe.2026.1870920.s002</dc:identifier>
          <dc:relation>https://figshare.com/articles/dataset/Data_Sheet_1_A_Gyroid_TPMS-based_machine_learning_framework_for_rapid_prediction_of_cancellous_bone_mechanical_properties_zip/33771982</dc:relation>
          <dc:rights>CC BY 4.0</dc:rights>
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