Search Results - "Garikipati, Krishna"

Integrating machine learning and multiscale modeling—perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences by Alber, Mark, Buganza Tepole, Adrian, Cannon, William R., De, Suvranu, Dura-Bernal, Salvador, Garikipati, Krishna, Karniadakis, George, Lytton, William W., Perdikaris, Paris, Petzold, Linda, Kuhl, Ellen

“…Fueled by breakthrough technology developments, the biological, biomedical, and behavioral sciences are now collecting more data than ever before. There is a…”
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Multiscale Modeling Meets Machine Learning: What Can We Learn? by Peng, Grace C. Y., Alber, Mark, Buganza Tepole, Adrian, Cannon, William R., De, Suvranu, Dura-Bernal, Savador, Garikipati, Krishna, Karniadakis, George, Lytton, William W., Perdikaris, Paris, Petzold, Linda, Kuhl, Ellen

“…Machine learning is increasingly recognized as a promising technology in the biological, biomedical, and behavioral sciences. There can be no argument that…”
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Second order threshold dynamics schemes for two phase motion by mean curvature by Zaitzeff, Alexander, Esedoḡlu, Selim, Garikipati, Krishna

“…•Second order two-phase mean curvature motion threshold dynamics algorithm in any dimension.•Unconditionally stable second order two-phase mean curvature…”
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A perspective on regression and Bayesian approaches for system identification of pattern formation dynamics by Wang, Zhenlin, Wu, Bowei, Garikipati, Krishna, Huan, Xun

“…•Our manuscript presents mathematical frameworks and numerical approaches for identifying the partial differential equations that govern pattern formation in…”
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Methodology for Sensitivity Analysis of Homogenized Cross-Sections to Instantaneous and Historical Lattice Conditions with Application to AP1000® PWR Lattice by Price, Dean, Folk, Thomas, Duschenes, Matthew, Garikipati, Krishna, Kochunas, Brendan

“…In the two-step method for nuclear reactor simulation, lattice physics calculations are performed to compute homogenized cross-sections for a variety of…”
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A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth by Rudraraju, Shiva, Moulton, Derek E, Chirat, Régis, Goriely, Alain, Garikipati, Krishna

“…Mollusk shells are an ideal model system for understanding the morpho-elastic basis of morphological evolution of invertebrates' exoskeletons. During the…”
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System Inference Via Field Inversion for the Spatio-Temporal Progression of Infectious Diseases: Studies of COVID-19 in Michigan and Mexico by Wang, Zhenlin, Carrasco-Teja, Mariana, Zhang, Xiaoxuan, Teichert, Gregory H., Garikipati, Krishna

“…We present an approach to studying and predicting the spatio-temporal progression of infectious diseases. We treat the problem by adopting a partial…”
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Elastic free energy drives the shape of prevascular solid tumors by Mills, K L, Kemkemer, Ralf, Rudraraju, Shiva, Garikipati, Krishna

“…It is well established that the mechanical environment influences cell functions in health and disease. Here, we address how the mechanical environment…”
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Remodeling of biological tissue: Mechanically induced reorientation of a transversely isotropic chain network by Kuhl, Ellen, Garikipati, Krishna, Arruda, Ellen M., Grosh, Karl

“…A new class of micromechanically motivated chain network models for soft biological tissues is presented. On the microlevel, it is based on the statistics of…”
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Integrating inverse reinforcement learning into data-driven mechanistic computational models: a novel paradigm to decode cancer cell heterogeneity by Kinnunen, Patrick C., Ho, Kenneth K. Y., Srivastava, Siddhartha, Huang, Chengyang, Shen, Wanggang, Garikipati, Krishna, Luker, Gary D., Banovic, Nikola, Huan, Xun, Linderman, Jennifer J., Luker, Kathryn E.

“…Cellular heterogeneity is a ubiquitous aspect of biology and a major obstacle to successful cancer treatment. Several techniques have emerged to quantify…”
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Coordination of signaling and tissue mechanics during morphogenesis of murine intestinal villi: a role for mitotic cell rounding by Freddo, Andrew M, Shoffner, Suzanne K, Shao, Yue, Taniguchi, Kenichiro, Grosse, Ann S, Guysinger, Margaux N, Wang, Sha, Rudraraju, Shiva, Margolis, Benjamin, Garikipati, Krishna, Schnell, Santiago, Gumucio, Deborah L

“…Efficient digestion and absorption of nutrients by the intestine requires a very large apical surface area, a feature that is enhanced by the presence of…”
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Oscillatory ERK Signaling and Morphology Determine Heterogeneity of Breast Cancer Cell Chemotaxis via MEK-ERK and p38-MAPK Signaling Pathways by Ho, Kenneth K Y, Srivastava, Siddhartha, Kinnunen, Patrick C, Garikipati, Krishna, Luker, Gary D, Luker, Kathryn E

“…Chemotaxis, regulated by oscillatory signals, drives critical processes in cancer metastasis. Crucial chemoattractant molecules in breast cancer, CXCL12 and…”
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Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures by Zhang, Xiaoxuan, Garikipati, Krishna

“…Many important multi-component crystalline solids undergo mechanochemical spinodal decomposition: a phase transformation in which the compositional…”
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Perspectives on the mathematics of biological patterning and morphogenesis by Garikipati, Krishna

“…A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties…”
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The non-equilibrium thermodynamics and kinetics of focal adhesion dynamics by Olberding, Joseph E, Thouless, Michael D, Arruda, Ellen M, Garikipati, Krishna

“…We consider a focal adhesion to be made up of molecular complexes, each consisting of a ligand, an integrin molecule, and associated plaque proteins. Free…”
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Pattern formation in dense populations studied by inference of nonlinear diffusion‐reaction mechanisms by Srivastava, Siddhartha, Garikipati, Krishna

“…Summary Reaction‐diffusion systems have been proposed as a model for pattern formation and morphogenesis. The Fickian diffusion typically employed in these…”
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Label-free learning of elliptic partial differential equation solvers with generalizability across boundary value problems by Zhang, Xiaoxuan, Garikipati, Krishna

“…Traditional numerical discretization-based solvers of partial differential equations (PDEs) are fundamentally agnostic to domains, boundary conditions and…”
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Machine learning materials physics: Surrogate optimization and multi-fidelity algorithms predict precipitate morphology in an alternative to phase field dynamics by Teichert, Gregory H., Garikipati, Krishna

“…Machine learning has been effective at detecting patterns and predicting the response of systems that behave free of natural laws. Examples include learning…”
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Attention-based multi-fidelity machine learning model for fractional flow reserve assessment by Yang, Haizhou, Nallamothu, Brahmajee K., Figueroa, C. Alberto, Garikipati, Krishna

“…Coronary Artery Disease (CAD) is one of the most common forms of heart disease, caused by a buildup of atherosclerotic plaque in the coronary arteries. When…”
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High order schemes for gradient flow with respect to a metric by Han, Saem, Esedoḡlu, Selim, Garikipati, Krishna

“…New criteria for energy stability of multi-step, multi-stage, and mixed schemes are introduced in the context of evolution equations that arise as gradient…”
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