Rao A.S.R.S. (2023). Exact Deep Learning Machines, Deep Learning, Elsevier (paper)

 

       Krantz S.G, and Rao A.S.R.S. (2023). Ancient Indian mathematics needs an honorific place in modern mathematics celebration. European            Mathematics Society Magazine (To Appear)

 

           Lee T.J., Berman A.E., Rao A.S.R.S (2023). Markov Chain Model for Cardiac Rhythm Dynamics in Patients Undergoing Catheter Ablation of            Atrial Fibrillation”. Bulletin of Mathematical Biology, Springer (https://link.springer.com/article/10.1007/s11538-023-01125-8)

            

             JR Carey, B Eriksen, ASRS Rao (2023). Congressional symmetry: years remaining mirror years served in the US House and Senate , Genus 79 (1), 5

      

             Rao A.S.R.S. (2022). Randomness and Uncertainty Are Central in Most Walks of Life, J Indian Inst Sci (Springer) (paper)

 

       Andrews George et al (2022). CR Rao (1920–) Celebrates His 101st Birthday, Notices of the American Mathematical Society, 69, 6: 982-007    

 

         Rao A.S.R.S. (2022). The formula to compute country-wise Human Development Index by the UNDP is illogical (SocArXiv papers)

 

Krantz S.G, and Rao A.S.R.S. (2022). Geometry, Information, and Complex Bundles. Geometry and Statistics, 3-19, Handbook of Statistics, Volume 46, Elsevier, North-Holland, Amsterdam (paper).

 

Rao A.S.R.S. (2022). Multilevel Contours on Bundles of Complex Planes Geometry and Statistics, 401-464, Handbook of Statistics, Volume 46(Article dedicated to Steven G. Krantz’s 70th Birthday) (paper)

 

Krantz S.G., Swanson D.A., Rao A.S.R.S. (2022). Global underreporting of COVID-19 cases during 1 January 2020 to 6 May 2022, current Science, 123, 6: 741-742 (paper)

 

Bhat, R., Sudhakar, K., Kurien, T. Rao A.S.R.S (2022). Strengthening India’s Response to HIV/AIDS Epidemic Through Strategic Planning, Innovative Financing, and Mathematical Modeling: Key Achievements over the Last 3 Decades. J Indian Inst Sci 102, 791–809 (2022). (paper)

 

 

Rao A.S.R.S. (2022). Rao, A.S.R.S. A Partition Theorem for a Randomly Selected Large Population. Acta Biotheor 70, 6 (2022). (paper)

 

 

Rao A.S.R.S. and Krantz S.G (2021). Well-Designed Studies are Needed to Assess Adverse Effects on Healthy Lung Function after Long-Term Face Masks Usage. Microbes, Infection and Chemotherapy, 1, e1222. (paper)

 

Rao A.S.R.S. and Vazquez J.A. (2021). Better Hybrid Models for Disease Prevention and Early Detection, Clinical Infectious Diseases (Oxford), (Paper)

 

Rao A.S.R.S. and Krantz S.G (2021). Rao distance and Conformal Mappings, Handbook of Statistics, Volume 45: Information Geometry, Elsevier (paper)

 

Krantz S.G, and Rao A.S.R.S. (2021). Ancient Indian mathematics needs an honorific place in modern mathematics celebration. aXiv (Paper)

 

Rao A.S.R.S. and Krantz S.G (2021). Mathematical Analysis and Topology of SARS-CoV-2, Bonding with Cells and Unbonding, Journal of Mathematical Analysis and Applications (Elsevier) (Paper)  

 

Rao A.S.R.S. and Krantz S.G (2021). Dynamical Systems: From Classical Mechanics and Astronomy to Modern Methods",  Journal of the Indian Institute of Science (Invited Article)  (Paper)  

 

Folake J Lawal, Moshood O Omotayo, Tae Jin Lee, Arni S R Srinivasa Rao, Jose A Vazquez (2021). HIV Treatment Outcomes in Rural Georgia Using Telemedicine, Open Forum Infectious Diseases, 2021;, ofab234, https://doi.org/10.1093/ofid/ofab234 (Paper)

 

Rao A.S.R.S. and Krantz S.G (2021). Ground Reality Versus Model-Based Computation of Basic Reproductive Numbers in Epidemics, Journal of Mathematical Analysis and Applications, 125004 (Elsevier) (Accepted) (Paper)  

 

Rao A.S.R.S and Saride S. (2021). Partial Differential Equations Models and Riemann-Stieltjes Integrals in Measuring Sustainability, B. C. Arnold, N. Balakrishnan and C. A. Coelho (eds) (2021) Advances on Methodology and Applications of Statistics (2021) (Springer) -Festschrift in Honor of C. R. Rao on the Occasion of His 100th Birthday. Springer, NY (To Appear) (paper)

 

Rao A.S.R.S., Krantz S.G., Bonsall, M.B. Thomas K, Byrareddy S, Swanson, Bhat R, Sudhakar K (2021). How Relevant is the Basic Reproductive Number Computed During COVID-19, Especially During Lockdowns? Infection Control and Hospital Epidemiology (SHEA & Cambridge University Press) (Paper)

 

SR Komic, KC Walters, F Aderibigbe, ASRS Rao, BK Stansfield (2021). Estimating Length of Stay for Simple Gastroschisis, Journal of Surgical Research 260, 122-128 (Paper)

 

 

Rao ASRS Krantz S.G., Bonsall, M.B. et al. (2020). Time varying basic reproductive number computed during COVID-19, especially during lockdowns could be questionable, eLetters, Science.Sciencemag.org (Hyperlink)

 

Rao ASRS and Krantz SG (2020). Come What May Digital Health Technologies Will Never be Able to Predict well in advance the Emergence of Unknown Viruses and Microorganisms with a Certainty, Journal of Medical Systems (Springer). https://doi.org/10.1007/s10916-020-01667-7 (Paper)

 

Rao ASRS and Krantz SG (2020). Continued and Serious Lockdown Could Have Minimized Many Newly Transmitted Cases of COVID-19 in the U.S.: Wavelets, Deterministic Models, and Data, (medRXiv), Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact edited by  Praveen Agarwal, Juan J Nieto, Michael Ruzhansky, Delfim F. M. Torres, Springer Nature Singapore Pte Ltd (To Appear)

 

Efron B, Amari S, Rubin D.B., Rao A.S.R.S, Cox D.R. (2020). C.R. Rao’s Century, Significance, August, 2020 17 (4): 36-38. (Paper)

 

Rao ASRS and Krantz SG (2020). Data Science for Virtual Tourism using Cutting Edge Visualizations: Information Geometry and Conformal Mapping, Cell Patterns, DOI: 10.1016/j.patter.2020.100067. (Paper)

 

Rao ASRS and Krantz, SG (2020). Intensive Collaborative Work on COVID-19 Modeling, Mathematics in the Time of the Corona, Springer, New York, 2020 (DOI: 10.1007/16618_2020_3) (Paper)

 

Rao ASRS and Carey J.R. (2020). Human life expectancy is computed from an incomplete sets of data: Modeling and analysis, Handbook o Statistics, Volume 43: Principles and Methods for Data Science, 379-390, Elsevier/North-Holland, Amsterdam (Paper)

 

Rao ASRS , DD Miller, AE Berman, DC Hess, SG Krantz (2020). Immediate and Near Future Prediction of COVID-19 Patients in the US Population Aged 65+ With the Prior Medical Conditions of Hypertension, Cardiovascular and Lung Diseases: Methods, Models and Acute Care Estimates (medRxiv) 

SG Krantz, Rao ASRS (2020). Preparedness and Response within Individual G7 Countries for COVID-19: Was there a Failure, in Spite of US Economic Strength, of Health Intelligence in the US to Assess the prior situation?Preparedness and Response within Individual G7 Countries for COVID-19: Was there a Failure, in Spite of US Economic Strength, of Health Intelligence in the US to Assess the prior situation? (preprint)

Rao, ASRS, SG Krantz, T Kurien, R Bhat, S Kurapati (2020). Model-based retrospective estimates for COVID-19 or coronavirus in India: continued efforts required to contain the virus spread, Current Science 118 (7), 1023-1025 (paper)

SG Krantz, Rao ASRS (2020. Level of under-reporting including under-diagnosis before the first peak of COVID-19 in various countries: Preliminary Retrospective Results Based on Wavelets and Deterministic ModelsLevel of under-reporting including under-diagnosis before the first peak of COVID-19 in various countries: Preliminary Retrospective Results Based on Wavelets and Deterministic Models. Infection Control & Hospital Epidemiology, 1-8 (paper)

SG Krantz, P Polyakov, Rao ASRS (2020). True Epidemic Growth Construction Through Harmonic Analysis  Journal of Theoretical Biology (Elsevier), Volume 494, 2020, 110243 (paper)

 

  Rao ASRS and Jose A. Vazquez (2020). Identification of COVID-19 Can be Quicker through Artificial Intelligence framework using a Mobile Phone-Based Survey in the Populations when Cities/Towns Are Under Quarantine.  Infection Control & Hospital Epidemiology (Cambridge University Press). In press.

 

Rao ASRS (2020). Population network structures, graph theory, algorithms to match subgraphs may lead to better clustering of households and communities in epidemiological studies, Epidemiology and Infection (Cambridge University Press), 148, E10. doi:10.1017/S0950268819002255 (article)

 

Rao ASRS and Michael P. Diamond (2020). Deep Learning of Markov Model Based Machines for Determination of Better Treatment Option Decisions for infertile Women, Reproductive Sciences, (Springer). https://doi.org/10.1007/s43032-019-00082-9 (article)

 

Rao ASRS and James R. Carey (2019). On the Three Properties of Stationary Populations and Knotting with Non-Stationary Populations, Bulletin of Mathematical Biology, 81, 10: 4233-4250 (Springer).  (article).

 

Arni S.R. Srinivasa Rao and J.R. Carey (2019). Behavior of Stationary Population Identity in Two-Dimensions: Age and Proportion of Population Truncated in Follow-up. Handbook of Statistics, 40, Integrated Population Biology and Modeling, Part B, pp: 487-500. (Publisher: Elsevier/North-Holland, Amsterdam) (Editors: Arni S.R. Srinivasa Rao, and C. R. Rao) (article)

 

JR Carey, S Silverman, Arni S.R. Srinivasa Rao (2018).  The Life Table Population Identity: Discovery, Formulations, Proof, Extensions, and Applications . Handbook of Statistics, 39, Integrated Population Biology and Modeling, Part A, pp: 155-186. (Publisher: Elsevier/North-Holland, Amsterdam) (Editors: Arni S.R. Srinivasa Rao, and C. R. Rao) (article)

 

Taejin Lee, K. Thomas and Arni S.R. Srinivasa Rao (2017). Time to vaccinate a population in the event of an epidemic: An H1N1 example, pp 185-205. Handbook of Statistics, 37, Disease Modeling and Public Health, Part B, (Publisher: Elsevier/North-Holland, Amsterdam) (Editors: Arni S.R. Srinivasa Rao, Saumyadipta Pyne, C. R. Rao) (article)

 

Arni S.R Srinivasa Rao and Roy M. Anderson (2017). Helminth Dynamics: Mean number of Worms, Reproductive Rates, pp 397-404. Handbook of Statistics, 36, Disease Modeling and Public Health, Part A, 397-404, (Editors: Arni S.R. Srinivasa Rao, Saumyadipta Pyne, C. R. Rao), Publisher: Elsevier/North-Holland, Amsterdam (article)

 

Arni S.R. Srinivasa Rao and Michael P. Diamond (2017). Role of Markov Modeling approaches to understand the impact of infertility treatment, Reproductive Sciences, 24, 11: 1538-1543.

 

Arni S.R. Srinivasa Rao and Philip K. Maini (2016). Chapter: Influencing HIV/AIDS policy in India through mathematical modeling. Book title: UK Success

Stories in Industrial Mathematics (London Math Society and Springer) Book Editors: Philip Aston, Tony Mulholland, Katy Tant. (article)

 

DP Blake, EL Clark, SE Macdonald , V Thenmozhi , K Kundu , R Garg , ID Jatau , S Ayoade, F Kawahara, A Moftah, AJ Reid, AO Adebambo , RA Zapata, Arni SR Srinivasa Rao, K Thangaraj, PS Banerjee , G Dhinakar-Raj , M Raman , FM Tomley (2015). Population, genetic and antigenic diversity of the apicomplexan Eimeria tenella: impact on novel vaccine development, Proceedings of the National Academy of Sciences, USA (PNAS), 112, 38: E5343-5350.

 

Arni S.R. Srinivasa Rao and James R. Carey (2015). Generalized Carey’s Equality and A Theorem on Stationary Population, Journal of Mathematical Biology (Springer). 71, 3: 583-594. (article)

 

Arni S.R. Srinivasa Rao (2014). Population Stability and Momentum. (Research article) Notices of the American Mathematical Society, 61, 9: 1062-1065. (article)

Arni S.R. Srinivasa Rao Fiona Tomley, Damer Blake (2015). Understanding Chicken Walks on n x n Grid: Hamiltonian Paths, Discrete Dynamics and Rectifiable Paths. Mathematical Methods in the Applied Sciences (Wiley-Blackwell), 38, 15: 3346-3358 (article)

 

Arni S.R. Srinivasa Rao, (2015).  Incubation Periods Under Various Anti-Retroviral Therapies in Homogeneous Mixing and Age-Structured Dynamical Models: A Theoretical Approach.  The Rocky Mountain Journal of Mathematics, USA, 45, 3: 973-1031.(article)

 

Arni S.R. Srinivasa Rao (2013). A Mid-Point Theorem for the U Type Shapes of Functions. Bulletin of Informatics and Cybernetics, Vol 45, 37-44.

 

Arni S.R. Srinivasa Rao, Thomas Kurien, Sudhakar Kurapati and Ramesh Bhat (2012). Improvements in survival of people living with HIV/AIDS and requirement for 1st line and 2nd line ART in India: A Mathematical Model. (Research article). Notices of the American Mathematical Society, 59,4:560-562. AMS organizes Mathematics Awareness Month (MAM) every year in April and this article is chosen for 2012 issue. (article)

 

Arni S.R. Srinivasa Rao (2012). Understanding theoretically the impact of reporting of disease cases in epidemiology, Journal of Theoretical Biology (Elsevier), 302,7:89-95. (article)

 

Arni S.R. Srinivasa Rao (2011). Biometric cards for the Indian Population: The Role of Mathematical models in Assisting and Planning, Asian Population Studies, (Routledge, Taylor & Francis Group, UK), 7:3, 295-300. (article)

 

Juluru, Nagesh and Arni S.R. Srinivasa Rao (2010). Mahlburgs work on Crank Functions returns to Ramanujans partitions for inspiration, Resonance (IAS and Springer), 15, 3, 232-243. (article)

 

Arni S.R. Srinivasa Rao, K. Thomas, K. Sudhakar and P.K. Maini (2009). HIV/AIDS Epidemic in India and Predicting the Impact of the National response: Mathematical Modeling and Analysis. Mathematical Biosciences and Engineering (AIMS, USA),6,4,779-813. (article)

 

Arni S.R. Srinivasa Rao. (2008). Location of the epicenter of avian bird flu might determine the rapidity of Spread in India. Current Science, 95, 3, 314-315. (article)

 

Arni S.R. Srinivasa Rao. (2008). Modeling the Rapid Spread of Avian Influenza (H5N1) in India. Mathematical Biosciences and Engineering, (AIMS, USA),5, 3, 523-537. (article)

 

Arni S.R. Srinivasa Rao and C.T. Bauch (2008). Classical Galton-Watson Branching Process and Vaccination. International Journal of Pure and Applied Mathematics (Academic Press), 44, 4:595-607.

 

Arni S.R. Srinivasa Rao(2006). Ramanujan and Religion (Letters to the editor), Notices of the American Mathematical Society, 53, 9: 1007-8. (article)

 

Arni S.R. Srinivasa Rao(2006). A note on derivation of the generating function for the right truncated Rayleigh distribution. Applied Mathematics Letters, (Elsevier), 19,8:789-94. (article)

 

C.T. Bauch, Arni. S.R. Srinivasa Rao, Ba' Z Pham, M Krahn, V Gilca, B Duval, MH Chen, AC Tricco (2007). A dynamic model for assessing universal Hepatitis A vaccination in Canada.  Vaccine (Elsevier) 25,10:1719-26.

 

Arni S.R. Srinivasa Rao(2006). Probabilities of therapeutic extinction of HIV. Applied Mathematics Letters, (Elsevier),19,1:80-86. (article)

 

Arni S.R. Srinivasa Rao(2005). On Joint Weibull functions. Applied Mathematics Letters, (Elsevier), 18,11:1224-7.

 

Arni S.R. Srinivasa Rao, Basu S, Basu A, and Ghosh, JK. (2005). Parametric models for incubation distribution in presence of left and right censoring. Indian Journal of Pure and Applied Mathematics, 7, 371-384.

Arni S.R. Srinivasa Rao and M Kakehashi (2005). Incubation-Time Distribution in Back-Calculation Applied to HIV/AIDS Data in India.  Mathematical Biosciences and Engineering, (AIMS, USA) 2, 2: 263-77. (article)

Arni S.R. Srinivasa Rao (2004). Limiting theorems on 'case' reporting. Applied Mathematics Letters, (Elsevier), 17, 7: 855-859. (article)

 

Arni S.R. Srinivasa Rao (2003). U Type Functions. Bulletin of Informatics and Cybernetics, 35, 1-2: 35-39.

Arni S.R. Srinivasa Rao (2003). Mathematical Modelling of AIDS Epidemic in India.  Current Science, 84, 9: 1192-7. (article)

 

Hira S.K., Arni S.R. Srinivasa Rao and Thanekar J (1999). Evidence of AIDS related mortality in Mumbai, India.  The Lancet, 354, 9185, 175-176. (article)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Other (expository / popular type) articles or letters

Arni S.R. Srinivasa Rao (2015). INVITED ESSAY: Fundamental Theorem in Stationary Populations and Implications of Carey’s Equality (PAA Affairs, Spring 2015 issue)

Arni S.R. Srinivasa Rao (2012). Are there population health benefits in India? A Perspective from Medical Insurance and Mathematical Modeling. Actuarial Educators Network (AEN) - Newsletter Number 3

Arni S.R. Srinivasa Rao. (2008). Undergraduate Research in Mathematics and Statistics, Canvas, pp 11-12

 

 

 

Publications