Integrated Population Biology and Modeling, Part A

Integrated Population Biology and Modeling, Part A

1st Edition - September 26, 2018

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  • Editors: Arni Srinivasa Rao, C.R. Rao
  • Hardcover ISBN: 9780444640727
  • eBook ISBN: 9780444640734

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Integrated Population Biology and Modeling: Part A offers very complex and precise realities of quantifying modern and traditional methods of understanding populations and population dynamics. Chapters cover emerging topics of note, including Longevity dynamics, Modeling human-environment interactions, Survival Probabilities from 5-Year Cumulative Life Table Survival Ratios (Tx+5/Tx): Some Innovative Methodological Investigations, Cell migration Models, Evolutionary Dynamics of Cancer Cells, an Integrated approach for modeling of coastal lagoons: A case for Chilka Lake, India, Population and metapopulation dynamics, Mortality analysis: measures and models, Stationary Population Models, Are there biological and social limits to human longevity?, Probability models in biology, Stochastic Models in Population Biology, and more.

Key Features

  • Covers emerging topics of note in the subject matter
  • Presents chapters on Longevity dynamics, Modeling human-environment interactions, Survival Probabilities from 5-Year Cumulative Life Table Survival Ratios (Tx+5/Tx), and more


Graduate students to senior researchers in statistics and applied mathematicians who wish to refer to a very rich and authentic collection of population models and their analytical solutions to their real-world applications. Research scientists and quantitative biologists would find this information fascinatingly replicative

Table of Contents

  • Preface
    Arni S.R. Srinivasa Rao and C.R. Rao

    Section I: Cellular Population Dynamics
    1. Population Dynamics and Evolution of Cancer Cells
    Ignacio A. Rodriguez-Brenes and Dominik Wodarz
    2. Stochastic and Deterministic Modeling of Cell Migration
    Enrico Gavagnin and Christian A. Yates
    3. Data-Driven Mathematical Modeling of Microbial Community Dynamics
    Shinji Nakaoka
    4. Reaction–Diffusion Kinetics in Growing Domains
    C. Escudero, S.B. Yuste, E. Abad and F. Le Vot

    Section II: Insect Experiments to Human Demographic Theories
    5. The Life Table Population Identity: Discovery, Formulations, Proof, Extensions, and Applications
    James R. Carey, Sarah Silverman and Arni S.R. Srinivasa Rao
    6. Stochastic Modelling of Some Natural Phenomena: A Special Reference to Human Fertility
    R.C. Yadava
    7. Two Decades of Drosophila Population Dynamics: Modelling, Experiments, and Implications
    Sutirth Dey and Amitabh Joshi

    Section III: Complex Environmental and Biogeochemical Dynamics
    8. The Environmental Kuznets Curve Fails in a Globalized Socio-Ecological Metapopulation: A Sustainability Game Theory Approach
    Tamer Oraby, Chris T. Bauch and Madhur Anand
    9. Integrated Approach for Modeling Coastal Lagoons: A Case for Chilka Lake, India
    S.R.V. Prasad Bhuvanagiri, Srinivasu Pichika, Raman Akkur, Kalavati Chaganti, Rakhesh Madhusoodhanan and Sarada Varma Pusapati

    Section IV: Measures of Mortality and Stochastics
    10. Measures and Models of Mortality
    Vladimir Canudas-Romo, Stefano Mazzuco and Lucia Zanotto
    11. Stochastic Population Models
    John Fricks and Ephraim Hanks
    12. Survival Probabilities From 5-Year Cumulative Life Table Survival Ratios (Tx + 5/Tx): Some Innovative Methodological Investigations
    Subrata Lahiri

    Section V: Human Inequality Measures and Well Being
    13. Methods of Measuring Human Well-being and Human Development
    Udoy Saikia, Gouranga Dasvarma and James Chalmers
    14. A Bio-Demographic Perspective on Inequality and Life Expectancy: An Analysis of 159 Countries for the Periods 1970–90 and 1990–2010
    David A. Swanson and Lucky M. Tedrow

Product details

  • No. of pages: 633
  • Language: English
  • Copyright: © North Holland 2018
  • Published: September 26, 2018
  • Imprint: North Holland
  • Hardcover ISBN: 9780444640727
  • eBook ISBN: 9780444640734

About the Series Volume Editors

Arni Srinivasa Rao

Arni Srinivasa Rao
Arni S.R. Srinivasa Rao works in pure mathematics, applied mathematics, probability, and artificial intelligence and applications in medicine. He is a Professor at the Medical College of Georgia, Augusta University, U.S.A, and the Director of the Laboratory for Theory and Mathematical Modeling housed within the Division of Infectious Diseases, Medical College of Georgia, Augusta, U.S.A. Previously, Dr. Rao conducted research and/or taught at Mathematical Institute, University of Oxford (2003, 2005-07), Indian Statistical Institute (1998-2002, 2006-2012), Indian Institute of Science (2002-04), University of Guelph (2004-06). Until 2012, Dr. Rao held a permanent faculty position at the Indian Statistical Institute. He has won the Heiwa-Nakajima Award (Japan) and Fast Track Young Scientists Fellowship in Mathematical Sciences (DST, New Delhi). Dr. Rao also proved a major theorem in stationary population models, such as, Rao's Partition Theorem in Populations, Rao-Carey Theorem in stationary populations, and developed mathematical modeling-based policies for the spread of diseases like HIV, H5N1, COVID-19, etc. He developed a new set of network models for understanding avian pathogen biology on grid graphs (these were called chicken walk models), AI Models for COVID-19 and received wide coverage in the science media. Recently, he developed concepts such as “Exact Deep Learning Machines”, and “Multilevel Contours” within a bundle of Complex Number Planes.

Affiliations and Expertise

Professor, Medical College of Georgia, USA

C.R. Rao

C. R. Rao is a world famous statistician who earned a place in the history of statistics as one of those “who developed statistics from its adhoc origins into a firmly grounded mathematical science.”

He was employed at the Indian Statistical Institute (ISI) in 1943 as a research scholar after obtaining an MA degree in mathematics with a first class and first rank from Andhra University in1941 and MA degree in statistics from Calcutta University in 1943 with a first class, first rank, gold medal and record marks which remain unbroken during the last 73 years.

“At the age of 28 he was made a full professor at ISI in recognition of his creativity.” While at ISI, Rao went to Cambridge University (CU) in 1946 on an invitation to work on an anthropometric project using the methodology developed at ISI. Rao worked in the museum of archeology and anthropology in Duckworth laboratory of CU during 1946-1948 as a paid visiting scholar. The results were reported in the book “Ancient Inhabitants of Jebel Moya” published by the Cambridge Press under the joint authorship of Rao and two anthropologists. On the basis of work done at CU during the two year period, 1946-1948, Rao earned a Ph.D. degree and a few years later Sc.D. degree of CU and the rare honor of life fellowship of Kings College, Cambridge.

He retired from ISI in 1980 at the mandatory age of 60 after working for 40 years during which period he developed ISI as an international center for statistical education and research. He also took an active part in establishing state statistical bureaus to collect local statistics and transmitting them to Central Statistical Organization in New Delhi. Rao played a pivitol role in launching undergraduate and postgraduate courses at ISI. He is the author of 475 research publications and several breakthrough papers contributing to statistical theory and methodology for applications to problems in all areas of human endeavor. There are a number of classical statistical terms named after him, the most popular of which are Cramer-Rao inequality, Rao-Blackwellization, Rao’s Orthogonal arrays used in quality control, Rao’s score test, Rao’s Quadratic Entropy used in ecological work, Rao’s metric and distance which are incorporated in most statistical books.

He is the author of 10 books, of which two important books are, Linear Statistical Inference which is translated into German, Russian, Czec, Polish and Japanese languages,and Statistics and Truth which is translated into, French, German, Japanese, Mainland Chinese, Taiwan Chinese, Turkish and Korean languages.

He directed the research work of 50 students for the Ph.D. degrees who in turn produced 500 Ph.D.’s. Rao received 38 hon. Doctorate degree from universities in 19 countries spanning 6 continents. He received the highest awards in statistics in USA,UK and India: National Medal of Science awarded by the president of USA, Indian National Medal of Science awarded by the Prime Minister of India and the Guy Medal in Gold awarded by the Royal Statistical Society, UK. Rao was a recipient of the first batch of Bhatnagar awards in 1959 for mathematical sciences and and numerous medals in India and abroad from Science Academies. He is a Fellow of Royal Society (FRS),UK, and member of National Academy of Sciences, USA, Lithuania and Europe. In his honor a research Institute named as CRRAO ADVANCED INSTITUTE OF MATHEMATICS, STATISTICS AND COMPUTER SCIENCE was established in the campus of Hyderabad University.

Affiliations and Expertise

University of Hyderabad Campus, India

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