{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T19:40:55Z","timestamp":1760125255331,"version":"build-2065373602"},"reference-count":69,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,3,17]],"date-time":"2023-03-17T00:00:00Z","timestamp":1679011200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key Research and Development Program of China","award":["2018YFA0703300","20200201278JC"],"award-info":[{"award-number":["2018YFA0703300","20200201278JC"]}]},{"name":"Natural Science Foundation of Jilin Province, China","award":["2018YFA0703300","20200201278JC"],"award-info":[{"award-number":["2018YFA0703300","20200201278JC"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In order to obtain a better numerical simulation method for fluid\u2013structure interaction (FSI), the IB-LBM combining the lattice Boltzmann method (LBM) and immersed boundary method (IBM) has been studied more than a decade. For this purpose, an explicit correction force scheme of IB-LBM was proposed in this paper. Different from the current IB-LBMs, this paper introduced the particle distribution function to the interpolation process from the fluid grids to the immersed boundary at the mesoscopic level and directly applied the LBM force models to obtain the interface force with a simple form and explicit process. Then, in order to ensure the mass conservation in the local area of the interface, this paper corrected the obtained interface force with the correction matrix, forming the total explicit-correction-force (ECP) scheme of IB-LBM. The results of four numerical tests were used to verify the order of accuracy and effectiveness of the present method. The streamline penetration is limited and the numerical simulation with certain application significance is successful for complex boundary conditions such as the movable rigid bodies (free oscillation of the flapping foil) and flexible deformable bodies (free deformation of cylinders). In summary, we obtained a simple and alternative simulation method that can achieve good simulation results for engineering reference models with complex boundary problems.<\/jats:p>","DOI":"10.3390\/e25030526","type":"journal-article","created":{"date-parts":[[2023,3,20]],"date-time":"2023-03-20T04:05:23Z","timestamp":1679285123000},"page":"526","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["An Explicit-Correction-Force Scheme of IB-LBM Based on Interpolated Particle Distribution Function"],"prefix":"10.3390","volume":"25","author":[{"given":"Bowen","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics, Jilin University, Changchun130012, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weiping","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Mathematics, Jilin University, Changchun130012, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,17]]},"reference":[{"key":"ref_1","first-page":"1","article-title":"Fundamentals of fluid-structure interaction","volume":"153","author":"Geuzaine","year":"2010","journal-title":"Encycl. Aerosp. Eng."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1016\/j.jfluidstructs.2014.12.003","article-title":"An immersed boundary-lattice Boltzmann flux solver and its applications to fluid\u2013structure interaction problems","volume":"54","author":"Wang","year":"2015","journal-title":"J. Fluids Struct."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"109487","DOI":"10.1016\/j.jcp.2020.109487","article-title":"An immersed boundary-lattice Boltzmann method for fluid-structure interaction problems involving viscoelastic fluids and complex geometries","volume":"415","author":"Ma","year":"2020","journal-title":"J. Comput. Phys."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"047109","DOI":"10.1063\/1.5144752","article-title":"Fluid\u2013structure interaction simulation based on immersed boundary-lattice Boltzmann flux solver and absolute nodal coordinate formula","volume":"32","author":"Liu","year":"2020","journal-title":"Phys. Fluids"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"899","DOI":"10.4208\/cicp.RE-2022-0041","article-title":"A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows","volume":"32","author":"Karimnejad","year":"2022","journal-title":"Commun. Comput. Phys."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3039","DOI":"10.1016\/S0045-7825(00)00381-9","article-title":"Fluid structure interaction with large structural displacements","volume":"190","author":"Mouro","year":"2001","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/0021-9991(74)90051-5","article-title":"An arbitrary Lagrangian-Eulerian computing method for all flow speeds","volume":"14","author":"Hirt","year":"1974","journal-title":"J. Comput. Phys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1016\/S0045-7825(99)00432-6","article-title":"ALE formulation for fluid\u2013structure interaction problems","volume":"190","author":"Souli","year":"2000","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1016\/0021-9991(72)90065-4","article-title":"Flow patterns around heart valves: A numerical method","volume":"10","author":"Peskin","year":"1972","journal-title":"J. Comput. Phys."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"7821","DOI":"10.1016\/j.paerosci.2013.09.003","article-title":"Immersed boundary methods for simulating fluid\u2013structure interaction","volume":"65","author":"Sotiropoulos","year":"2014","journal-title":"Prog. Aerosp. Sci."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"7821","DOI":"10.1016\/j.jcp.2009.07.023","article-title":"A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations","volume":"228","author":"Yang","year":"2009","journal-title":"J. Comput. Phys."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/j.jcp.2016.04.024","article-title":"A Gaussian-like immersed-boundary kernel with three continuous derivatives and improved translational invariance","volume":"316","author":"Bao","year":"2016","journal-title":"J. Comput. Phys."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1006\/jcph.2000.6484","article-title":"Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations","volume":"161","author":"Fadlun","year":"2000","journal-title":"J. Comput. Phys."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.jcp.2005.10.035","article-title":"An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries","volume":"215","author":"Yang","year":"2006","journal-title":"J. Comput. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1146\/annurev-fluid-010719-060228","article-title":"Immersed methods for fluid\u2013structure interaction","volume":"52","author":"Griffith","year":"2020","journal-title":"Annu. Rev. Fluid Mech."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2332","DOI":"10.1103\/PhysRevLett.61.2332","article-title":"Use of the Boltzmann equation to simulate lattice-gas automata","volume":"61","author":"McNamara","year":"1988","journal-title":"Phys. Rev. Lett."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0370-1573(92)90090-M","article-title":"The lattice Boltzmann equation: Theory and applications","volume":"222","author":"Benzi","year":"1992","journal-title":"Phys. Rep."},{"key":"ref_18","unstructured":"Succi, S. (2001). The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond, Oxford University Press. [1st ed.]."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Kr\u00fcger, T., Kusumaatmaja, H., Kuzmin, A., and Shardt, O. (2017). The Lattice Boltzmann Method: Principles and Practice, Springer International Publishing. [1st ed.].","DOI":"10.1007\/978-3-319-44649-3"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3452","DOI":"10.1063\/1.1399290","article-title":"Momentum transfer of a Boltzmann-lattice fluid with boundaries","volume":"13","author":"Bouzidi","year":"2001","journal-title":"Phys. Fluids"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2007","DOI":"10.1063\/1.1471914","article-title":"An extrapolation method for boundary conditions in lattice Boltzmann method","volume":"14","author":"Guo","year":"2002","journal-title":"Phys. Fluids"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1017\/S0022112094001771","article-title":"Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation","volume":"271","author":"Ladd","year":"1994","journal-title":"J. Fluid Mech."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"046708","DOI":"10.1103\/PhysRevE.66.046708","article-title":"Lubrication corrections for lattice-Boltzmann simulations of particle suspensions","volume":"66","author":"Nguyen","year":"2002","journal-title":"Phys. Rev. E"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1023\/A:1023880126272","article-title":"Extension of the lattice-Boltzmann method for direct simulation of suspended particles near contact","volume":"112","author":"Ding","year":"2003","journal-title":"J. Stat. Phys."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"8583","DOI":"10.1038\/s41598-018-26786-7","article-title":"Particle shape influences settling and sorting behavior in microfluidic domains","volume":"8","author":"Succi","year":"2018","journal-title":"Sci. Rep."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.compfluid.2018.10.016","article-title":"Assessment of numerical methods for fully resolved simulations of particle-laden turbulent flows","volume":"179","author":"Motta","year":"2019","journal-title":"Comput. Fluids"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1504\/PCFD.2008.018086","article-title":"A comparative study of immersed-boundary and interpolated bounce-back methods in LBE","volume":"8","author":"Peng","year":"2008","journal-title":"Prog. Comput. Fluid Dyn. Int. J."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"052408","DOI":"10.1103\/PhysRevE.102.052408","article-title":"Investigating ion transport inside the pentameric ion channel encoded in COVID-19 E protein","volume":"102","author":"Saurabh","year":"2020","journal-title":"Phys. Rev. E"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"114941","DOI":"10.1016\/j.molliq.2020.114941","article-title":"Fluid-structure interaction for the flexible filament\u2019s propulsion hanging in the free stream","volume":"323","author":"Afra","year":"2021","journal-title":"J. Mol. Liq."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"111025","DOI":"10.1016\/j.oceaneng.2022.111025","article-title":"Flow control of two tandem cylinders by a highly flexible filament: Lattice spring IB-LBM","volume":"250","author":"Afra","year":"2022","journal-title":"Ocean Eng."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"105832","DOI":"10.1016\/j.compfluid.2023.105832","article-title":"A VOS based Immersed Boundary-Lattice Boltzmann method for incompressible fluid flows with complex and moving boundaries","volume":"255","author":"Cong","year":"2023","journal-title":"Comput. Fluids"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1016\/j.jcp.2003.10.013","article-title":"The immersed boundary-lattice Boltzmann method for solving fluid\u2013particles interaction problems","volume":"195","author":"Feng","year":"2004","journal-title":"J. Comput. Phys."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.jcp.2004.06.020","article-title":"Proteus: A direct forcing method in the simulations of particulate flows","volume":"202","author":"Feng","year":"2005","journal-title":"J. Comput. Phys."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1016\/j.compfluid.2008.04.013","article-title":"Robust treatment of no-slip boundary condition and velocity updating for the lattice-Boltzmann simulation of particulate flows","volume":"38","author":"Feng","year":"2009","journal-title":"Comput. Fluids"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1963","DOI":"10.1016\/j.jcp.2008.11.019","article-title":"Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications","volume":"228","author":"Wu","year":"2009","journal-title":"J. Comput. Phys."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1002\/fld.2023","article-title":"Simulation of incompressible viscous flows around moving objects by a variant of immersed boundary-lattice Boltzmann method","volume":"62","author":"Wu","year":"2010","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1002\/fld.2589","article-title":"Simulation of three-dimensional flows over moving objects by an improved immersed boundary\u2013lattice Boltzmann method","volume":"68","author":"Wu","year":"2012","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1132","DOI":"10.1002\/fld.2304","article-title":"A comparative study of direct-forcing immersed boundary-lattice Boltzmann methods for stationary complex boundaries","volume":"66","author":"Kang","year":"2011","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"023307","DOI":"10.1103\/PhysRevE.89.023307","article-title":"Implicit-correction-based immersed boundary\u2013lattice Boltzmann method with two relaxation times","volume":"89","author":"Seta","year":"2014","journal-title":"Phys. Rev. E"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"638","DOI":"10.1016\/j.apm.2018.06.021","article-title":"An IB-LBM implementation for fluid-solid interactions with an MLS approximation for implicit coupling","volume":"62","author":"Wang","year":"2018","journal-title":"Appl. Math. Model."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"110265","DOI":"10.1016\/j.jcp.2021.110265","article-title":"Direct-forcing immersed-boundary method: A simple correction preventing boundary slip error","volume":"435","author":"Gsell","year":"2021","journal-title":"J. Comput. Phys."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"053305","DOI":"10.1103\/PhysRevE.101.053305","article-title":"Force-amplified, single-sided diffused-interface immersed boundary kernel for correct local velocity gradient computation and accurate no-slip boundary enforcement","volume":"101","author":"Peng","year":"2020","journal-title":"Phys. Rev. E"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1016\/j.apm.2017.10.014","article-title":"An immersed boundary-lattice Boltzmann method combined with a robust lattice spring model for solving flow\u2013structure interaction problems","volume":"55","author":"Afra","year":"2018","journal-title":"Appl. Math. Model."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.physleta.2006.01.060","article-title":"A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows","volume":"354","author":"Niu","year":"2006","journal-title":"Phys. Lett. A"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/j.camwa.2014.05.013","article-title":"An improved momentum exchanged-based immersed boundary\u2013lattice Boltzmann method by using an iterative technique","volume":"68","author":"Hu","year":"2014","journal-title":"Comput. Math. Appl."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1016\/j.camwa.2014.01.006","article-title":"A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating a flexible filament in an incompressible flow","volume":"67","author":"Yuan","year":"2014","journal-title":"Comput. Math. Appl."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.compfluid.2018.01.005","article-title":"Second-order accurate immersed boundary-discrete unified gas kinetic scheme for fluid-particle flows","volume":"165","author":"Tao","year":"2018","journal-title":"Comput. Fluids"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1016\/j.apm.2020.01.012","article-title":"A bounce back-immersed boundary-lattice Boltzmann model for curved boundary","volume":"81","author":"Wang","year":"2020","journal-title":"Appl. Math. Model."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"104233","DOI":"10.1016\/j.compfluid.2019.06.032","article-title":"A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method: Part I, laminar flows","volume":"192","author":"Peng","year":"2019","journal-title":"Comput. Fluids"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1016\/j.jcp.2005.03.017","article-title":"An immersed boundary method with direct forcing for the simulation of particulate flows","volume":"209","author":"Uhlmann","year":"2005","journal-title":"J. Comput. Phys."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1103\/PhysRev.94.511","article-title":"A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems","volume":"94","author":"Bhatnagar","year":"1954","journal-title":"Phys. Rev."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"6811","DOI":"10.1103\/PhysRevE.56.6811","article-title":"Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation","volume":"56","author":"He","year":"1997","journal-title":"Phys. Rev. E"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"046308","DOI":"10.1103\/PhysRevE.65.046308","article-title":"Discrete lattice effects on the forcing term in the lattice Boltzmann method","volume":"65","author":"Guo","year":"2002","journal-title":"Phys. Rev. E"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1209\/0295-5075\/17\/6\/001","article-title":"Lattice BGK models for Navier-Stokes equation","volume":"17","author":"Qian","year":"1992","journal-title":"Europhys. Lett."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/0021-9991(77)90100-0","article-title":"Numerical analysis of blood flow in the heart","volume":"25","author":"Peskin","year":"1972","journal-title":"J. Comput. Phys."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1017\/S0962492902000077","article-title":"The immersed boundary method","volume":"11","author":"Peskin","year":"2002","journal-title":"Acta Numer."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"R21","DOI":"10.1103\/PhysRevE.55.R21","article-title":"Physical symmetry and lattice symmetry in the lattice Boltzmann method","volume":"55","author":"Cao","year":"1997","journal-title":"Phys. Rev. E"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1006\/jcph.1996.0255","article-title":"Some progress in lattice Boltzmann method. Part I. Nonuniform mesh grids","volume":"129","author":"He","year":"1996","journal-title":"J. Comput. Phys."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1017\/S002211206000116X","article-title":"On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow","volume":"9","author":"Stuart","year":"1960","journal-title":"J. Fluid Mech."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1016\/j.compfluid.2005.09.004","article-title":"An immersed boundary technique for simulating complex flows with rigid boundary","volume":"36","author":"Su","year":"2007","journal-title":"Comput. Fluids"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1088\/1009-1963\/11\/4\/310","article-title":"Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method","volume":"11","year":"2002","journal-title":"Chin. Phys."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1017\/S0022112059000829","article-title":"Experiments on the flow past a circular cylinder at low Reynolds numbers","volume":"9","author":"Tritton","year":"1959","journal-title":"J. Fluid Mech."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1006\/jcph.2001.6970","article-title":"Cartesian grid method for solving the two-dimensional stream function-vorticity equations in irregular regions","volume":"176","author":"Calhoun","year":"2002","journal-title":"J. Comput. Phys."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"106712","DOI":"10.1016\/j.oceaneng.2019.106712","article-title":"A review on fluid dynamics of flapping foils","volume":"195","author":"Wu","year":"2020","journal-title":"Ocean Eng."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"A7","DOI":"10.1017\/jfm.2022.539","article-title":"Characterization of bifurcated dual vortex streets in the wake of an oscillating foil","volume":"945","author":"Verma","year":"2022","journal-title":"J. Fluid Mech."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"1968","DOI":"10.2514\/1.7554","article-title":"Flow simulation around an airfoil by lattice Boltzmann method on generalized coordinates","volume":"43","author":"Imamura","year":"2005","journal-title":"AIAA J."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0045-7825(94)00077-8","article-title":"Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces","volume":"119","author":"Johnson","year":"1994","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1017\/S002211201000368X","article-title":"Mechanisms of flow-induced deformation of porous media","volume":"664","author":"Frishfelds","year":"2010","journal-title":"J. Fluid Mech."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"9425375","DOI":"10.1155\/2018\/9425375","article-title":"Numerical simulations of the motion and deformation of three RBCs during poiseuille flow through a constricted vessel using IB-LBM","volume":"2018","author":"Wang","year":"2018","journal-title":"Comput. Math. Methods Med."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/25\/3\/526\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:58:04Z","timestamp":1760122684000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/25\/3\/526"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,3,17]]},"references-count":69,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2023,3]]}},"alternative-id":["e25030526"],"URL":"https:\/\/doi.org\/10.3390\/e25030526","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2023,3,17]]}}}