Application of Mathematical Modeling and Numerical Simulation of Blood Biomarker Transport in Paper-Based Microdevices
This study introduces a novel mathematical model tailored to the unique fluid dynamics of paper-based microfluidic devices (PBMDs), focusing specifically on the transport behavior of human blood plasma, albumin, and heat. Unlike previous models that depend on generic commercial software, our custom-...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-06-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/12/1936 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849705067894013952 |
|---|---|
| author | Carlos E. Zambra Diógenes Hernandez Jorge O. Morales-Ferreiro Diego Vasco |
| author_facet | Carlos E. Zambra Diógenes Hernandez Jorge O. Morales-Ferreiro Diego Vasco |
| author_sort | Carlos E. Zambra |
| collection | DOAJ |
| description | This study introduces a novel mathematical model tailored to the unique fluid dynamics of paper-based microfluidic devices (PBMDs), focusing specifically on the transport behavior of human blood plasma, albumin, and heat. Unlike previous models that depend on generic commercial software, our custom-developed computational incorporates the Richards equation to extend Darcy’s law for more accurately capturing capillary-driven flow and thermal transport in porous paper substrates. The model’s predictions were validated through experimental data and demonstrated high accuracy in both two- and three-dimensional simulations. Key findings include new analytical expressions for uniform paper wetting after sudden geometric expansions and the discovery that plasma and albumin preferentially migrate along paper edges—a phenomenon driven by surface tension and capillary effects that varies with paper type. Additionally, heat transfer analysis indicates that a one-minute equilibration period is necessary for the reaction zone to reach ambient temperature, an important parameter for assay timing. These insights provide a deeper physical understanding of PBMD operation and establish a robust modeling tool that bridges experimental and computational approaches, offering a foundation for the optimized design of next-generation diagnostic devices for biomedical applications. |
| format | Article |
| id | doaj-art-10fda9ddec2349fc8dcaab60a15427cf |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-10fda9ddec2349fc8dcaab60a15427cf2025-08-20T03:16:34ZengMDPI AGMathematics2227-73902025-06-011312193610.3390/math13121936Application of Mathematical Modeling and Numerical Simulation of Blood Biomarker Transport in Paper-Based MicrodevicesCarlos E. Zambra0Diógenes Hernandez1Jorge O. Morales-Ferreiro2Diego Vasco3Department of Industrial Technologies, Faculty of Engineering, University of Talca, Curicó 3640000, ChileDepartment of Industrial Technologies, Faculty of Engineering, University of Talca, Curicó 3640000, ChileEscuela de Ingeniería, Facultad de Ciencias, Ingeniería y Tecnología, Universidad Mayor, Providencia, Santiago 7500000, ChileDepartment of Mechanical Engineering, University of Santiago (USACH), Av. Bernardo O’Higgins 3363, Estación Central, Santiago 9160000, ChileThis study introduces a novel mathematical model tailored to the unique fluid dynamics of paper-based microfluidic devices (PBMDs), focusing specifically on the transport behavior of human blood plasma, albumin, and heat. Unlike previous models that depend on generic commercial software, our custom-developed computational incorporates the Richards equation to extend Darcy’s law for more accurately capturing capillary-driven flow and thermal transport in porous paper substrates. The model’s predictions were validated through experimental data and demonstrated high accuracy in both two- and three-dimensional simulations. Key findings include new analytical expressions for uniform paper wetting after sudden geometric expansions and the discovery that plasma and albumin preferentially migrate along paper edges—a phenomenon driven by surface tension and capillary effects that varies with paper type. Additionally, heat transfer analysis indicates that a one-minute equilibration period is necessary for the reaction zone to reach ambient temperature, an important parameter for assay timing. These insights provide a deeper physical understanding of PBMD operation and establish a robust modeling tool that bridges experimental and computational approaches, offering a foundation for the optimized design of next-generation diagnostic devices for biomedical applications.https://www.mdpi.com/2227-7390/13/12/1936heat and mass simulationpaper-based microfluidic devicesblood transportbiomarkers detections |
| spellingShingle | Carlos E. Zambra Diógenes Hernandez Jorge O. Morales-Ferreiro Diego Vasco Application of Mathematical Modeling and Numerical Simulation of Blood Biomarker Transport in Paper-Based Microdevices Mathematics heat and mass simulation paper-based microfluidic devices blood transport biomarkers detections |
| title | Application of Mathematical Modeling and Numerical Simulation of Blood Biomarker Transport in Paper-Based Microdevices |
| title_full | Application of Mathematical Modeling and Numerical Simulation of Blood Biomarker Transport in Paper-Based Microdevices |
| title_fullStr | Application of Mathematical Modeling and Numerical Simulation of Blood Biomarker Transport in Paper-Based Microdevices |
| title_full_unstemmed | Application of Mathematical Modeling and Numerical Simulation of Blood Biomarker Transport in Paper-Based Microdevices |
| title_short | Application of Mathematical Modeling and Numerical Simulation of Blood Biomarker Transport in Paper-Based Microdevices |
| title_sort | application of mathematical modeling and numerical simulation of blood biomarker transport in paper based microdevices |
| topic | heat and mass simulation paper-based microfluidic devices blood transport biomarkers detections |
| url | https://www.mdpi.com/2227-7390/13/12/1936 |
| work_keys_str_mv | AT carlosezambra applicationofmathematicalmodelingandnumericalsimulationofbloodbiomarkertransportinpaperbasedmicrodevices AT diogeneshernandez applicationofmathematicalmodelingandnumericalsimulationofbloodbiomarkertransportinpaperbasedmicrodevices AT jorgeomoralesferreiro applicationofmathematicalmodelingandnumericalsimulationofbloodbiomarkertransportinpaperbasedmicrodevices AT diegovasco applicationofmathematicalmodelingandnumericalsimulationofbloodbiomarkertransportinpaperbasedmicrodevices |