Jared Barber, Ph.D.

Associate Professor, Mathematical Sciences

Office:: LD 270E
Phone:: (317) 274-6936
Email:: jarobarb@iu.edu
Research Areas:: Computational Biofluid Dynamics | Mathematical Biology

Education

Ph.D. Applied Mathematics, University of Arizona
M.S. Applied Mathematics, University of Arizona
B.S. Mathematics, Montana State University-Bozeman

Publications & Professional Activity

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Research Samples

Computational model of red blood cell passing through a capillary bifurcation lined with a protein coating called the endothelial surface layer.

Model of red blood cell passing through a capillary bifurcation lined with a protein coating called the endothelial surface layer. Determining red blood cell distributions using models like these can help determine distributions of other important quantities like the oxygen carried by the red blood cells.
(Triebold and Barber, 2022)

Computational model showing regions of death in rats due to being overwhelmed by bacteria and the immune response.

Regions of death in rats due to being overwhelmed by bacteria (red) and the immune response (blue). Surviving animals lie in the green region and Bsource is the amount of bacteria originally injected into the animals. Knowing what parameters we can try to change to improve patient outcomes during bacterial infections (aka sepsis) is very helpful.
(J Barber, A Torsey, A Carpenter, Y Vodovotz, R Namas, J Arciero, 2019)

Computational model showing how increased numbers of capillaries and increased number of collateral vessels affect blood flow.

How increased numbers of capillaries and increased number of collateral vessels (carry flow around a clot) affect blood flow. Adding collateral vessels increases flow more suggesting doctors target increasing number of collaterals instead of number of capillaries in order to improve flow after a blood clot.
(E Zhao, J Barber, M Burch, J Unthank, J Arciero, 2020)

Computational model showing discretization of an ellipsoidal biological cell into an interconnected network of damped springs representing the cell membrane and cytoskeleton.

Discretization of an ellipsoidal biological cell into an interconnected network of damped springs representing the cell membrane and cytoskeleton. Such models can be used to determine how forces on cells like osteocytes (bone cells) can cause cells to release signals that affect bone growth.
(Albert et al., submitted 2023)

Movie of a two-dimensional osteocyte (bone cell) embedded in bone and subject to external forces.
(Barber, SMB 2023)