Pawan Kumar Email & Phone Number

Paris, Fr

Palaiseau, Île-De-France, France

- Developing multiscale models of ovarian development using a mechanistic Gene Regulatory Network (GRN) approach within Simuscale.- Integrating cell dynamics, single-cell transcriptomics, and spatial modeling to simulate ovarian follicle formation, oocyte selection, and germ cell differentiation.- This research aims to advance early diagnosis and improve management of ovarian aging by uncovering the molecular mechanisms driving follicle dynamics throughout the reproductive lifespan.

Montpellier, Occitanie, France

- Formulation and simulation of data‑driven mechanistic models (in 2D) to replicate the heterogeneity of oxygen distribution and hypoxia profiles in the tumor microenvironment.- Processing and analyzing histopathological and Hyperion image data from patient tissue samples and xenografts (PDX) provided by experimental collaborators. This involves parameter estimation and validation of model predictions.- Derivation of high‑dimensional partial differential equation (PDE) models for melanoma and development of neural network‑based numerical methods to solve these PDEs.- Supervision of master’s students.

- Formulation and simulation of data‑driven mechanistic models (in 3D) to replicate the heterogeneity of oxygen distribution and hypoxia profiles in the tumor microenvironment.

Kaiserslautern, Germany

- Modeling and simulation of glioma patterning using a system of ODEs and PDEs, with a focus on multiscale modeling of pseudopalisades formation and their maintenance or disruption under the influence of a hypoxic tumor microenvironment.- Application and comparison of different upscaling techniques (meso to macro‑scale) in the context of glioma to obtain PDEs of reaction‑diffusion‑taxis type from kinetic transport equations.- Development and implementation of multiphase models (monoscale) for glioma pseudopalisades.- Utilization of analysis techniques: stability analysis, traveling wave solutions, Turing/non‑Turing pattern formation.

Chennai Area, India

- Tyre data analysis, data modeling to observe tyre life on different locations, driving style, vehicle type.- Development of MATLAB based GUI to access tyre conditions from their real time images.

Aachen, Germany

- Study and implementation of some mathematical models for solid tumour growth, angiogenesis and treatments.- Quantification of uncertainties due to the input data / parameters involved in the selected models using different techniques and comparison of models.

Doctor Of Philosophy - Phd, Biomathematics, Bioinformatics, And Computational Biology

Master Of Technology (M.Tech.), Industrial Mathematics And Scientific Computing

- Development of an object oriented C++ library to solve standard nonlinear partial differential equations using finite difference.

Master Of Science (Ms), Mathematics

B.Sc, Mathematics

Honours with distinction