Bhargav Ram Karamched

Department of Mathematics

University of Houston

Philip Guthrie Hoffman Hall

3551 Cullen Blvd., Room 618

Houston, TX,77204-3008

USA

Email:
"bhargav at math dot uh dot edu"

I am a postdoctoral fellow at the University of Houston collaborating with Professors Kresimir Josic, Matthew Bennett, and Will Ott. I obtained my Ph. D. in Mathematics from the University of Utah under the supervision of Professor Paul Bressloff in 2017. Prior to that, I recieved a Bachelor of Science degree in Mathematics and a Bachelor of Science degree in Biochemistry from the University of Oklahoma in 2012.

I am interested in a number of topics in applied mathematics. Most of these involve applications of the theory of dynamical systems, partial and stochastic differential equations, and nonequilibrium statistical physics to problems in cell biology, systems biology, synthetic biology, physical biochemistry, biophysics, and decision making. Here are a few of the projects on which I am currently working:

- Developing mathematical models of synthetic gene circuits
- Developing mathematical models of emergent properties in bacterial consortia
- Evidence accumulation and decision making in networks
- Shear-induced chaos in glucose-insulin dynamics
- Developing mathematical models of axonal length sensing

12. **B. R. Karamched**, M. Stickler, B. Lindner, Z. P. Kilpatrick, W. Ott, and K. Josic. Binary Decisions of Large Cliques of Evidence Accumulators. *In Preparation.*

11. **B. R. Karamched**, J. J. Winkle, M. R. Bennett, W. Ott, and K. Josic. Bacterial Cell Shape Modulation and Induced Population Dynamics of Synthetic Microbial Consortia. *In Preparation.*

10. D. J. Albers, G. Hripcsak, **B. R. Karamched**, and W. Ott. Reliability Failure in Physiological Systems. *In Preparation.*

9. **B. R. Karamched**, S. Stolarczyk, Z. P. Kilpatrick, and K. Josic. Optimal Evidence Accumulation on Networks. *Submitted (SIADS)* Preprint.

8. **B. R. Karamched**, W. Ott, I. Timofeyev, M. R. Bennett, and K. Josic. Moran Model of Spatial Alignment in Microbial Colonies. *Physica D: Nonlinear Phenomena*. **395** 1-6 Preprint (2019).

7. R. N. Alnahhas, J. J. Winkle, A. J. Hirning, **B. R. Karamched**, W. Ott, K. Josic, and M. R. Bennett. Spatiotemporal Dynamics of Synthetic Microbial Consortia in Microfluidic Devices. *ACS Synthetic Biology* **8** 2051-2058 Preprint (2019)

6. P. C. Bressloff and **B. R. Karamched**. Doubly Stochastic Poisson Model of Flagellar Length Control. *SIAM J. Appl. Math* 78(2), 719-741 (2018)

5. P. C. Bressloff,** B. R. Karamched**, S. D. Lawley, and E. Levien. Diffusive Transport in the Presence of Stochastically Gated Absorption . *Physical Review E.* **96** (2) (2017).

4. **B. R. Karamched** and P. C. Bressloff. Effects of Cell Geometry on Reversible Vesicular Delivery. *J. Phys. A.* **50** 055601 (2017).

3. P. C. Bressloff and **B. R. Karamched**. A Model of Reversible Vesicular Transport with Exclusion. *J. Phys. A.* **49** 345602 (2016).

2. P. C. Bressloff and **B. R. Karamched**. A Frequency-Dependent Decoding Mechanism for Axonal Length Sensing . *Front. Cell. Neurosci.* 9:281.(2015).

1. ** B. R. Karamched** and P. C. Bressloff. A Delayed Feedback Model of Axonal Length Sensing. *Biophys. J.* **108** 2408-2419 (2015).

Spring 2018 - MATH 3325 Transitions to Advanced Mathematics -- Reviews

Spring 2019 - MATH 3336 Discrete Mathematics -- Reviews

Spring 2020 - MATH 3325 Transitions to Advanced Mathematics