Transport Phenomena in Living Systems
This Special Issue is devoted to advancing the mathematical and computational understanding of transport processes in physiological and biological systems. It welcomes original research and high-quality reviews that develop or apply analytical, numerical, and data-driven frameworks to study fluid flow, heat and mass transfer, and coupled multiphysics transport in living systems. Emphasis is placed on differential equation–based modeling, asymptotic and perturbation methods, finite element and finite volume techniques, spectral approaches, and high-performance computing to understand the underlying fluid physics.
Contributions may address blood flow, microcirculation, respiratory and lymphatic transport, porous tissues, and cellular-scale processes, including non-Newtonian, viscoelastic, and multiphase biofluids. Topics include peristaltic transport, electrohydrodynamics, thermocapillary effects, magnetohydrodynamics, and flows under deformable or pathological conditions such as stenosis or tumor growth.
Studies incorporating optimization, uncertainty quantification, machine learning, and reduced-order modeling are encouraged. The aim is to advance modeling strategies that deepen insight into physiological transport and support emerging diagnostic and therapeutic technologies.
Topics covered include, but are not limited to:
- Modeling & Simulation of physiological transport phenomena
- Computational biofluid dynamics (CBFD)
- Non-Newtonian and viscoelastic biofluid flows
- Peristaltic transport and membrane based flow models
- Biomicrofluidics and nanofluidics
- Bio-heat and mass transfer
- Transport in porous and deformable physiological media
- Microcirculation and blood flow dynamics
- Respiratory airflow and aerosol/particle transport
- Electrokinetic and electroosmotic transport in bio-systems
- Multiphase and hybrid nanofluid applications in biomedicine
- Drug delivery and targeted transport modeling
- Coupled transport phenomena (thermal-fluid-biological interactions)
- Numerical methods, FEM, FDM, FVM and spectral techniques
- Optimization and control in physiological transport systems
- Machine learning and data-driven modeling in bio-transport
- Uncertainty quantification and sensitivity analysis
- Multiscale and multiphysics modeling in living systems
- Particle motion, spread of bacteria and viruses
- Cilia induced motion
Guest Editors
Dr. Dharmendra Tripathi,
Department of Mathematics, National Institute of Technology (NIT) Uttarakhand,
Srinagar-246174, India
Prof. Rajesh Kumar Pandey,
Department of Mathematical Sciences,
Indian Institute of Technology (IIT BHU), Varanasi-221005
Dr. Jyotirmoy Rana
Mathematics Department, Indian Institute of Technology (IIT) Hyderabad
Kandi, Sangareddy – 502285, India
Dr. Hari Shankar Mahato
Deparment of Mathematics, Indian Institute of Technology (IIT) Kharagpur,
Kharagpur, India – 721302