Badal — NASA satellite imagery Joshi — NASA satellite imagery

Badal Joshi

Professor
Department of Mathematics
California State University San Marcos

bjoshi at csusm dot edu
Administrative Building, Room 6232

Professional Trajectory

Recent Travel

Research interests:
  1. Theory and applications of biochemical reaction networks
  2. Mathematical foundations of reaction network based computers

Research Publications

  1. David F. Anderson, Badal Joshi, and Tung D. Nguyen. Computing with reaction networks at input-independent speed: exponential and logarithmic functions, arXiv preprint (2026). [arXiv]

  2. Badal Joshi and Tung D. Nguyen. Bifunctional enzyme action as a source of robustness in biochemical reaction networks: a novel hypergraph approach, Journal of the Royal Society Interface, Vol. 23, 20250252 (2026). [doi] [arXiv]

  3. David F. Anderson and Badal Joshi. Chemical mass-action systems as analog computers: implementing arithmetic computations at specified speed, Theoretical Computer Science, Volume 1025, 114983 (2025). [doi] [arXiv]

  4. Badal Joshi and Tung D. Nguyen. Bifunctional enzyme provides absolute concentration robustness in multisite covalent modification networks, Journal of Mathematical Biology, Vol. 88, 36 (2024). [doi] [arXiv]

  5. Mainak Patel and Badal Joshi. Development of the sleep-wake switch in rats during the P2-P21 early infancy period, Frontiers in Network Physiology: Networks in Sleep and Circadian Systems, Vol. 3, (2023). [doi]

  6. Badal Joshi and Gheorghe Craciun. Power-engine-load form for dynamic absolute concentration robustness, SIAM Journal on Applied Mathematics, Vol. 83, Iss. 6, (2023). [doi] [arXiv]

  7. Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen, and Anne Shiu. Prevalence of multistationarity and absolute concentration robustness in reaction networks, SIAM Journal on Applied Mathematics, Vol. 83, Iss. 6, (2023). [doi] [arXiv]

  8. Badal Joshi and Gheorghe Craciun. Reaction Network Motifs for Static and Dynamic Absolute Concentration Robustness, SIAM Journal on Applied Dynamical Systems, Vol. 22, No. 2, pp. 501-526, (2023). [doi] [arXiv]

  9. Badal Joshi and Gheorghe Craciun. Foundations of Static and Dynamic Absolute Concentration Robustness, Journal of Mathematical Biology, Vol. 85, 53 (2022). [doi] [arXiv]

  10. Daniele Cappelletti and Badal Joshi. Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics, Stochastic methods for biological systems, special issue of Mathematical Biosciences and Engineering, Vol. 19, Issue 8, (2022). [doi] [arXiv]

  11. Gheorghe Craciun, Badal Joshi, Casian Pantea, and Ike Tan. Multistationarity in cyclic sequestration-transmutation networks, Bulletin of Mathematical Biology, 84:65 (2022). [doi] [arXiv]

  12. Gheorghe Craciun, Abhishek Deshpande, Badal Joshi, and Polly Y. Yu. Autocatalytic recombination systems: A reaction network perspective, Mathematical Biosciences, Vol. 345, 108784 (2022). [doi] [arXiv]

  13. David F. Anderson, Badal Joshi, and Abhishek Deshpande. On reaction network implementations of neural networks, Journal of the Royal Society Interface, Vol. 18, Issue 177 (April 2021). [doi] [arXiv]

  14. Badal Joshi and Gheorghe Craciun. Autocatalytic Networks: An Intimate Relation between Network Topology and Dynamics, SIAM Journal on Applied Mathematics, Vol. 81, Issue 4, pp. 1623-1644 (August 2021). [doi] [arXiv]

  15. Stefan Müller and Badal Joshi. Detailed balance = complex balance + cycle balance: A graph-theoretic proof for reaction networks and Markov chains, Bulletin of Mathematical Biology, Vol. 82, Article number: 116 (September 2020). [doi] [arXiv]

  16. Daniele Cappelletti and Badal Joshi. Graphically balanced equilibria and stationary measures of reaction networks, SIAM Journal on Applied Dynamical Systems, Vol. 17, No. 3, pp. 2146-2175 (August 2018). [doi] [arXiv]

  17. Mainak Patel and Badal Joshi. Deterministic Stability Regimes and Noise-Induced Quasistable Behavior in a Pair of Reciprocally Inhibitory Neurons, Journal of Theoretical Biology, Vol. 441, pp. 68-83 (March 2018). [doi]

  18. Badal Joshi and Anne Shiu. Which small reaction networks are multistationary?, SIAM Journal on Applied Dynamical Systems, Vol. 16, No. 2, pp. 802-833 (April 2017). [doi] [arXiv]

  19. Mainak Patel and Badal Joshi. Modeling the Evolving Oscillatory Dynamics of the Rat Locus Coeruleus Through Early Infancy, Brain Research, Vol. 1618, pp. 181-193 (August 2015). [doi]

  20. Badal Joshi and Anne Shiu. A survey of methods for deciding whether a reaction network is multistationary, Chemical Dynamics special issue of Mathematical Modelling of Natural Phenomena, Vol. 10, No. 5, pp. 47-67 (August 2015). [doi] [arXiv]

  21. Badal Joshi. A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced, Discrete and Continuous Dynamical Systems - Series B, Vol. 20, pp. 1077-1105 (June 2015). [doi] [arXiv]

  22. Runjing Liu*, Mainak Patel, and Badal Joshi. Encoding Whisker Deflection Velocity within the Rodent Barrel Cortex using Phase-Delayed Inhibition, Journal of Computational Neuroscience, Vol. 37, pp. 387-401 (December 2014). [doi]

  23. Mainak Patel and Badal Joshi. Switching mechanisms and bout times in a pair of reciprocally inhibitory neurons, Journal of Computational Neuroscience, Vol. 36, pp. 177-191 (February 2014). [doi]

  24. Mainak Patel and Badal Joshi. Decoding synchronized oscillations within the brain: phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony filter, Journal of Theoretical Biology, Vol. 334, pp. 13-25 (October 2013). [doi]

  25. Badal Joshi and Mainak Patel. Encoding with synchrony: phase-delayed inhibition allows for reliable and specific stimulus detection, Journal of Theoretical Biology, Vol. 328, pp. 26-32 (July 2013). [doi]

  26. Badal Joshi. Complete characterization by multistationarity of fully open networks with one non-flow reaction, Applied Mathematics and Computation, Vol. 219, Iss. 12, pp. 6931-6945 (February 2013). [doi] [arXiv]

  27. Badal Joshi and Anne Shiu. Atoms of multistationarity in chemical reaction networks, Journal of Mathematical Chemistry, Vol. 51, No. 1, pp. 153-178 (2013). [doi] [arXiv]

  28. Badal Joshi and Anne Shiu. Simplifying the Jacobian criterion for precluding multistationarity in chemical reaction networks, SIAM Journal on Applied Mathematics, Vol. 72, No. 3, pp. 857-876 (2012). [doi] [arXiv]

  29. Badal Joshi. Order of magnitude time-reversible Markov chains and characterization of clustering processes (2011). [arXiv]

  30. Badal Joshi. A doubly stochastic Poisson process for wake-sleep cycling, Ph.D. Dissertation, The Ohio State University (2009).

  31. Andrew Gall, Badal Joshi, Janet Best, Virginia R. Florang, Jonathan A. Doorn, and Mark Blumberg. Developmental emergence of power-law wake behavior depends upon the functional integrity of the Locus Coeruleus, Sleep, Vol. 32, No. 7 (2009). [doi]

  32. Badal Joshi, Xueying Wang, Sayanti Banerjee, Haiyan Tian, Anastasios Matzavinos, and Mark A.J. Chaplain. On immunotherapies and cancer vaccination protocols: A mathematical modelling approach, Journal of Theoretical Biology, Vol. 259, No. 4, pp. 820-827 (August 2009). [doi]