Dr Prakash Kumar

Mathematical models of different bioreactors consisting deformable porous scaffold to analyse the fluid flow and nutrient transport that support the cells to grow in the desired form.
Fluid flow and deformation of the solid phase in the deformable porous medium using biphasic mixture equations.

LIFE MEMBER of the Indian Mathematical Society (IMS). Life Membership Number: L/2019/158
LIFE MEMBER of the Indian Society of Theoretical and Applied Mechanics (ISTAM). Life Membership Number: L/974

Mathematical modeling of elastodynamics and cell growth inside a deformable scaffold fitted in the periphery of a bioreactor- Prakash Kumar and G. P. Raja Sekhar, Mathematical Methods in the Applied Sciences, 1-29, (2021)
Elastohydrodynamics of a deformable porous packing in a channel competing under shear induction and pressure gradient- Prakash Kumar and G. P. Raja Sekhar - Physics of Fluids 32, 061901 (2020)
Analysis of elastohydrodynamics and nutrient transport through deformable porous scaffold inside a hollow fibre membrane bioreactor- Prakash Kumar and G. P. Raja Sekhar - Physics of Fluids 32, 031904 (2020)
Nutrient transport through deformable cylindrical scaffold inside a bioreactor: An application to tissue engineering - Prakash Kumar, Bibaswan Dey and G. P. Raja Sekhar - International Journal of Engineering Science, 127, 201-216, (2018)