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  1. Article: Randomness and Uncertainty Are Central in Most Walks of Life.

    Rao, Arni S R Srinivasa

    Journal of the Indian Institute of Science

    2022  , Page(s) 1–2

    Language English
    Publishing date 2022-10-25
    Publishing country Switzerland
    Document type Editorial
    ZDB-ID 2139553-6
    ISSN 0970-4140 ; 0970-4140 ; 0019-4964
    ISSN (online) 0970-4140
    ISSN 0970-4140 ; 0019-4964
    DOI 10.1007/s41745-022-00345-6
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  2. Article ; Online: A Partition Theorem for a Randomly Selected Large Population.

    Rao, Arni S R Srinivasa

    Acta biotheoretica

    2021  Volume 70, Issue 1, Page(s) 6

    Abstract: A theorem on the partitioning of a randomly selected large population into stationary and non-stationary components by using a property of the stationary population identity is stated and proved. The methods of partitioning demonstrated are original and ... ...

    Abstract A theorem on the partitioning of a randomly selected large population into stationary and non-stationary components by using a property of the stationary population identity is stated and proved. The methods of partitioning demonstrated are original and these are helpful in real-world situations where age-wise data is available. Applications of this theorem for practical purposes are summarized at the end.
    MeSH term(s) Animals ; Population Dynamics
    Language English
    Publishing date 2021-12-16
    Publishing country Netherlands
    Document type Journal Article
    ZDB-ID 63-2
    ISSN 1572-8358 ; 0001-5342
    ISSN (online) 1572-8358
    ISSN 0001-5342
    DOI 10.1007/s10441-021-09433-z
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    In stock of ZB MED Bonn / Germany

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    72/15359: Show issues

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  3. Article ; Online: Stationary status of discrete and continuous age-structured population models.

    Srinivasa Rao, Arni S R / Carey, James R

    Mathematical biosciences

    2023  Volume 364, Page(s) 109058

    Abstract: From Leonhard Euler to Alfred Lotka and in recent years understanding the stationary process of the human population has been of central interest to scientists. Population reproductive measure NRR (net reproductive rate) has been widely associated with ... ...

    Abstract From Leonhard Euler to Alfred Lotka and in recent years understanding the stationary process of the human population has been of central interest to scientists. Population reproductive measure NRR (net reproductive rate) has been widely associated with measuring the status of population stationarity and it is also included as one of the measures in the millennium development goals. This article argues how the partition theorem-based approach provides more up-to-date and timely measures to find the status of the population stationarity of a country better than the NRR-based approach. We question the timeliness of the value of NRR in deciding the stationary process of the country. We prove associated theorems on discrete and continuous age distributions and derive measurable functional properties. The partitioning metric captures the underlying age structure dynamic of populations at or near stationarity. As the population growth rates for an ever-increasing number of countries trend towards replacement levels and below, new demographic concepts and metrics are needed to better characterize this emerging global demography.
    MeSH term(s) Humans ; Population Dynamics ; Reproduction ; Population Growth
    Language English
    Publishing date 2023-08-02
    Publishing country United States
    Document type Journal Article ; Research Support, N.I.H., Extramural
    ZDB-ID 1126-5
    ISSN 1879-3134 ; 0025-5564
    ISSN (online) 1879-3134
    ISSN 0025-5564
    DOI 10.1016/j.mbs.2023.109058
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    In stock of ZB MED Cologne/Königswinter

    Zs.A 1534: Show issues Location:
    Je nach Verfügbarkeit (siehe Angabe bei Bestand)
    bis Jg. 1994: Bestellungen von Artikeln über das Online-Bestellformular
    Jg. 1995 - 2021: Lesesall (1.OG)
    ab Jg. 2022: Lesesaal (EG)

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  4. Article ; Online: Population network structures, graph theory, algorithms to match subgraphs may lead to better clustering of households and communities in epidemiological studies.

    Rao, Arni S R Srinivasa

    Epidemiology and infection

    2020  Volume 148, Page(s) e10

    MeSH term(s) Algorithms ; Cluster Analysis ; Epidemiologic Studies ; Family Characteristics
    Language English
    Publishing date 2020-01-21
    Publishing country England
    Document type Letter ; Comment
    ZDB-ID 632982-2
    ISSN 1469-4409 ; 0950-2688
    ISSN (online) 1469-4409
    ISSN 0950-2688
    DOI 10.1017/S0950268819002255
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    In stock of ZB MED Cologne/Königswinter

    Un I Zs.271: Show issues Location:
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  5. Article ; Online: Better Hybrid Systems for Disease Detections and Early Predictions.

    Srinivasa Rao, Arni S R / Vazquez, Jose A

    Clinical infectious diseases : an official publication of the Infectious Diseases Society of America

    2021  Volume 74, Issue 3, Page(s) 556–558

    Language English
    Publishing date 2021-05-26
    Publishing country United States
    Document type Letter ; Comment
    ZDB-ID 1099781-7
    ISSN 1537-6591 ; 1058-4838
    ISSN (online) 1537-6591
    ISSN 1058-4838
    DOI 10.1093/cid/ciab489
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    In stock of ZB MED Cologne/Königswinter

    Zs.A 1505: Show issues Location:
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    Jg. 1995 - 2021: Lesesall (1.OG)
    ab Jg. 2022: Lesesaal (EG)
    Zs.MO 480: Show issues

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  6. Article ; Online: Markov Chain Models for Cardiac Rhythm Dynamics in Patients Undergoing Catheter Ablation of Atrial Fibrillation.

    Lee, Tae Jin / Berman, Adam E / Rao, Arni S R Srinivasa

    Bulletin of mathematical biology

    2023  Volume 85, Issue 5, Page(s) 34

    Abstract: We have developed a novel Markov Chain modeling system that considers vectors of patients with atrial fibrillation (AF) by their AF status over a period of time. Our model examines the impact of catheter ablation of AF upon the dynamics of a patient's AF ...

    Abstract We have developed a novel Markov Chain modeling system that considers vectors of patients with atrial fibrillation (AF) by their AF status over a period of time. Our model examines the impact of catheter ablation of AF upon the dynamics of a patient's AF status and their potential return to sinus rhythm. We prove several theorems to determine the probabilities of patients achieving sinus rhythm or progressing to permanent AF. Additionally, we observed aggregation of patients within the paroxysmal AF state in simulation. The aggregating property of Markov chains illustrated the potential benefits of catheter ablation on healthcare resource allocation.
    MeSH term(s) Humans ; Atrial Fibrillation/surgery ; Markov Chains ; Treatment Outcome ; Mathematical Concepts ; Models, Biological ; Catheter Ablation
    Language English
    Publishing date 2023-03-24
    Publishing country United States
    Document type Journal Article
    ZDB-ID 184905-0
    ISSN 1522-9602 ; 0007-4985 ; 0092-8240
    ISSN (online) 1522-9602
    ISSN 0007-4985 ; 0092-8240
    DOI 10.1007/s11538-023-01125-8
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    In stock of ZB MED Cologne/Königswinter

    Zs.B 754: Show issues Location:
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  7. Article: Dr. Kurapati Sudhakar (1955-2022): Mentor and Public Health Advisor in India.

    Rao, Arni S R Srinivasa / Charles, Bimal / Bhat, Ramesh / Rao, J V R Prasada

    Journal of the Indian Institute of Science

    2022  Volume 102, Issue 2, Page(s) 843–848

    Language English
    Publishing date 2022-08-23
    Publishing country Switzerland
    Document type News
    ZDB-ID 2139553-6
    ISSN 0970-4140 ; 0970-4140 ; 0019-4964
    ISSN (online) 0970-4140
    ISSN 0970-4140 ; 0019-4964
    DOI 10.1007/s41745-022-00316-x
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  8. Article: Mathematical analysis and topology of SARS-CoV-2, bonding with cells and unbonding.

    Srinivasa Rao, Arni S R / Krantz, Steven G

    Journal of mathematical analysis and applications

    2021  Volume 514, Issue 2, Page(s) 125664

    Abstract: We consider the structure of the novel coronavirus (SARS-Cov-2) in terms of the number of spikes that are critical in bonding with the cells in the host. Bonding formation is considered for selection criteria with and without any treatments. Functional ... ...

    Abstract We consider the structure of the novel coronavirus (SARS-Cov-2) in terms of the number of spikes that are critical in bonding with the cells in the host. Bonding formation is considered for selection criteria with and without any treatments. Functional mappings from the discrete space of spikes and cells and their analysis are performed. We found that careful mathematical constructions help in understanding the treatment impacts, and the role of vaccines within a host. Smale's famous 2-D horseshoe examples inspired us to create 3-D visualizations and understand the topological diffusion of spikes from one human organ to another organ. The pharma industry will benefit from such an analysis for designing efficient treatment and vaccine strategies.
    Language English
    Publishing date 2021-09-14
    Publishing country United States
    Document type Journal Article
    ZDB-ID 1468566-8
    ISSN 1096-0813 ; 0022-247X
    ISSN (online) 1096-0813
    ISSN 0022-247X
    DOI 10.1016/j.jmaa.2021.125664
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  9. Article: Ground reality versus model-based computation of basic reproductive numbers in epidemics.

    Srinivasa Rao, Arni S R / Krantz, Steven G

    Journal of mathematical analysis and applications

    2021  Volume 514, Issue 2, Page(s) 125004

    Abstract: Computation of basic reproductive numbers is one of the primary goals of epidemic modelers. There are several challenges in such computations, especially when the data from the virus transmission networks are not so easy to collect; this makes model ... ...

    Abstract Computation of basic reproductive numbers is one of the primary goals of epidemic modelers. There are several challenges in such computations, especially when the data from the virus transmission networks are not so easy to collect; this makes model validation almost impossible. We provide a technical comment on the precautions to be taken while computing model-based basic reproductive numbers so that the ground realities of such computation are maintained. Basic reproductive numbers need to be adjusted retrospectively to compensate for reporting errors within the epidemic spread networks. Such an adjustment would lead to revised pandemic preparedness and mitigation plans.
    Language English
    Publishing date 2021-01-27
    Publishing country United States
    Document type Journal Article
    ZDB-ID 1468566-8
    ISSN 1096-0813 ; 0022-247X
    ISSN (online) 1096-0813
    ISSN 0022-247X
    DOI 10.1016/j.jmaa.2021.125004
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  10. Article ; Online: Come What May, Digital Health Technologies Will Never Be Able to Predict the Emergence of Unknown Viruses and Microorganisms with any Degree of Certainty.

    Srinivasa Rao, Arni S R / Krantz, Steven G

    Journal of medical systems

    2020  Volume 44, Issue 12, Page(s) 201

    MeSH term(s) Health Education ; Humans ; Viruses
    Keywords covid19
    Language English
    Publishing date 2020-10-21
    Publishing country United States
    Document type Letter
    ZDB-ID 423488-1
    ISSN 1573-689X ; 0148-5598
    ISSN (online) 1573-689X
    ISSN 0148-5598
    DOI 10.1007/s10916-020-01667-7
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    In stock of ZB MED Cologne/Königswinter

    Zs.A 1426: Show issues Location:
    Je nach Verfügbarkeit (siehe Angabe bei Bestand)
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    Jg. 1995 - 2021: Lesesall (1.OG)
    ab Jg. 2022: Lesesaal (EG)

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