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{Seminar} @ CDS: 24th May : “Modeling failure in solids and tissue-scale tumour growth via high-fidelity computational methodologies.”

24 May @ 11:00 AM -- 12:00 PM

Department of Computational and Data Sciences

Department Seminar


SPEAKER     :   Dr. Prashant K Jha, Peter O’Donnell Postdoctoral Fellow at the Oden Institute for Computational Engineering ad Sciences.

TITLE            :  “Modeling failure in solids and tissue-scale tumour growth via high-fidelity computational methodologies”

Date & Time :   May 24, 2021, 11:00 AM.

Venue              :   Online

 

ABSTRACT

Understanding of physical processes coupled with knowledge of mathematics and computational methods enable researchers to (i) create virtual avatars/digital twins, (ii) study virtual avatars via analysis and computation, (iii) calibrate-validate models to make predictions about physical events. Furthermore, mathematics and computations play a significant role in modeling coupled phenomena at multiple scales and also in developing accurate, scalable computational methods to solve the underlying governing equations. Along these lines of thought, this talk will present our research efforts in the broad areas of computational mechanics and computational oncology while highlighting the theoretical and computational aspects involved in modeling the relevant phenomena.

Humankind is intrinsically dependent on structures ranging from microscale devices to megastructures, and our safety hinges on accurate predictions of responses of these structures to a variety of external loading. In this regard, understanding failure in solids is of paramount importance, and modelling the same using classical continuum mechanics (CCM) is extremely challenging. The limitations of CCM in modelling failure have triggered the development of Peridynamics, a nonlocal theory unifying the description of elastic and fracture responses of solid continua. While peridynamics has been quite successful in modelling various fracture problems and has led to a great deal of new research, some key fundamental questions remain to be fully understood. In this talk, we will discuss our recent advances in answering some of these questions, namely – (i) well-posedness, (ii) convergence of numerical discretization, and (iii) key characteristics of peridynamics theory. Furthermore, the talk will also focus on a recently proposed high-fidelity model PeriDEM for modelling granular media that utilizes peridynamics for intra-particle deformation and DEM-like contact laws for inter-particle contact. The proposed model allows for the first time a simplified description of mechanical and multiphysics interactions between arbitrarily shaped particles in granular media often encountered in construction, additive manufacturing, mineral extractions, etc.

Finally, we will present our ongoing research efforts in the area of computational oncology. In particular, we will discuss our work in tissue-scale cancer modelling with emphasis on coupling the vascular flow and the interstitial flow in the tissue. The proposed 3D-1D tumour growth model allows the simulation of growth/decline of tumours and furthermore models the transport of drugs and nutrients in blood vessels and tissues. The efforts are underway to integrate breast cancer MRI data with this 3D-1D model to calibrate-validate the proposed model and thereby make patient-specific predictions. We will finally conclude the talk with a summary of our contributions and future directions.

 

BIOGRAPHY

Prashant K. Jha is currently a Research Associate at the Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin. He joined UT Austin as a Peter
O’Donnell Postdoctoral Fellow in August 2019. He also worked at the Department of Mathematics, Louisiana State University, as a postdoctoral scholar before joining UT Austin. In August 2016, Prashant received PhD from Civil and Environmental Engineering, Carnegie Mellon University. Prior to that, he received his Master’s degree in Mechanical Engineering from IISc Bangalore. He is broadly interested in developing and applying mathematical models and computational methods to key and present-day relevant problems. The current focus includes the development and application of tumor growth models and mechanical deformation and fracture in solids and granular media.

 

Host Faculty: Prof. Phani Motamarri

Details

Date:
24 May
Time:
11:00 AM -- 12:00 PM

Venue

Online