2026-10-07T03:05:15Z https://api.figshare.com/v2/oai

oai:figshare.com:article/34018305 2026-09-28T19:19:49Z category_29779 category_29755 category_29770 category_29776 category_29821 category_29815 category_29812 item_type_3 month_year_09_2026

<p dir="ltr"><b>Dataset and Source Code for "Dual Reciprocity Boundary Element Analysis of Nonlinear Phase-Change Bioheat Transfer in Cryosurgery: Formulation and Annular Benchmarking"</b></p> Mohamed Abdelsabour Fahmy (10769228) Applied mathematics not elsewhere classified Biological mathematics Mathematical methods and special functions Theoretical and applied mechanics Numerical and computational mathematics not elsewhere classified Numerical solution of differential and integral equations Numerical analysis bioheat transfer cryosurgery phase change dual reciprocity boundary element method enthalpy method blood perfusion <p dir="ltr">This repository accompanies the manuscript <b>“Dual Reciprocity Boundary Element Analysis of Nonlinear Phase-Change Bioheat Transfer in Cryosurgery: Formulation and Annular Benchmarking.”</b> The study develops a dual reciprocity boundary element method (DRBEM) for nonlinear phase-change bioheat transfer in cryosurgery using an enthalpy/effective-heat-capacity formulation and a boundary-oriented geometric discretization. The demonstrated numerical implementation considers a two-dimensional annular first-freeze benchmark with prescribed cryoprobe temperature and a fixed internal dual-reciprocity collocation cloud. final paper with authors details</p><p dir="ltr">The computational framework accounts for latent heat and phase-dependent blood perfusion and employs backward-Euler time integration with nonlinear iterative updates. The manuscript also formulates additional extensions involving phase-state memory, adaptive internal collocation, event-controlled time stepping, and cryoprobe-to-field sensitivity analysis; these are presented as formulation-level extensions and are not claimed as numerically validated capabilities in the current study. final paper with authors details</p><p dir="ltr">The numerical study includes verification of the spatial boundary-element operator against the exact steady annular conduction solution, a nonlinear transient cryosurgery benchmark, a cryoprobe-temperature parameter sweep, and a limited time-step sensitivity study. For the baseline prescribed cryoprobe temperature of <b>−120 °C</b> at <b>600 s</b>, the reported radii of the <b>−40 °C, −20 °C, and 0 °C isotherms</b> are approximately <b>4.599 mm, 5.859 mm, and 7.586 mm</b>, respectively. These quantities are numerical benchmark values and are not presented as patient-specific clinical predictions. final paper with authors details</p><p dir="ltr">The accompanying reproducibility package contains manuscript-derived benchmark data, thermophysical parameters, steady-verification metrics, cryoprobe-temperature and time-step datasets, original manuscript figures, deterministic reconstructed collocation coordinates, Python and MATLAB reference utilities, analytical annular verification routines, constitutive-model functions, DRBEM interpolation/operator utilities, automated validation tests, regenerated reference plots, provenance documentation, citation metadata, and package manifests.</p><p dir="ltr">Because the original executable prototype solver, complete collocation coordinates, exact solver tolerances, iteration histories, conditioning diagnostics, and raw numerical field arrays were not contained in the supplied manuscript materials, reconstructed assets in this repository are explicitly labeled as such and are not represented as the original author-generated raw data. final paper with authors details</p><p dir="ltr"><b>Purpose of the deposit:</b> to support transparency, reproducibility, independent verification, and future extension of the DRBEM framework to more rigorous transient, freeze-thaw, adaptive, non-axisymmetric, multi-probe, and comparative computational studies.</p> 2026-09-28T19:19:49Z Dataset Dataset 10.6084/m9.figshare.34018305.v1 https://figshare.com/articles/dataset/_p_dir_ltr_b_Dataset_and_Source_Code_for_Dual_Reciprocity_Boundary_Element_Analysis_of_Nonlinear_Phase-Change_Bioheat_Transfer_in_Cryosurgery_Formulation_and_Annular_Benchmarking_b_p_/34018305 CC BY 4.0