4.4 Article

Universal features of surname distribution in a subsample of a growing population

Journal

JOURNAL OF THEORETICAL BIOLOGY
Volume 262, Issue 2, Pages 245-256

Publisher

ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2009.09.022

Keywords

Family size; Growing population; Coalescent; Distribution

Funding

  1. EU Sixth Framework CO3
  2. Israeli Center for Complexity Science

Ask authors/readers for more resources

We examine the problem of family size statistics (the number of individuals carrying the same surname, or the same DNA sequence) in a given size subsample of an exponentially growing population. We approach the problem from two directions. In the first, we construct the family size distribution for the subsample from the stable distribution for the full population. This latter distribution is calculated for an arbitrary growth process in the limit of slow growth, and is seen to depend only on the average and variance of the number of children per individual, as well as the mutation rate. The distribution for the subsample is shifted left with respect to the original distribution, tending to eliminate the part of the original distribution reflecting the small families, and thus increasing the mean family size. From the subsample distribution, various bulk quantities such as the average family size and the percentage of singleton families are calculated. In the second approach, we study the past time development of these bulk quantities, deriving the statistics of the genealogical tree of the subsample. This approach reproduces that of the first when the current statistics of the subsample is considered. Surname statistics for the US in 1790 and 2000 and for Norway in 2008 are analyzed in the light of the theory and show satisfactory agreement, when the time-dependence of the growth rate is taken into account for the two contemporary data sets. (C) 2009 Elsevier Ltd. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.4
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Multidisciplinary Sciences

Analyses of non-coding somatic drivers in 2,658 cancer whole genomes

Esther Rheinbay, Morten Muhlig Nielsen, Federico Abascal, Jeremiah A. Wala, Ofer Shapira, Grace Tiao, Henrik Hornshoj, Julian M. Hess, Randi Istrup Juul, Ziao Lin, Lars Feuerbach, Radhakrishnan Sabarinathan, Tobias Madsen, Jaegil Kim, Loris Mularoni, Shimin Shuai, Andres Lanzos, Carl Herrmann, Yosef E. Maruvka, Ciyue Shen, Samirkumar B. Amin, Pratiti Bandopadhayay, Johanna Bertl, Keith A. Boroevich, John Busanovich, Joana Carlevaro-Fita, Dimple Chakravarty, Calvin Wing Yiu Chan, David Craft, Priyanka Dhingra, Klev Diamanti, Nuno A. Fonseca, Abel Gonzalez-Perez, Qianyun Guo, Mark P. Hamilton, Nicholas J. Haradhvala, Chen Hong, Keren Isaev, Todd A. Johnson, Malene Juul, Andre Kahles, Abdullah Kahraman, Youngwook Kim, Jan Komorowski, Kiran Kumar, Sushant Kumar, Donghoon Lee, Kjong-Van Lehmann, Yilong Li, Eric Minwei Liu, Lucas Lochovsky, Keunchil Park, Oriol Pich, Nicola D. Roberts, Gordon Saksena, Steven E. Schumacher, Nikos Sidiropoulos, Lina Sieverling, Nasa Sinnott-Armstrong, Chip Stewart, David Tamborero, Jose M. C. Tubio, Husen M. Umer, Liis Uuskula-Reimand, Claes Wadelius, Lina Wadi, Xiaotong Yao, Cheng-Zhong Zhang, Jing Zhang, James E. Haber, Asger Hobolth, Marcin Imielinski, Manolis Kellis, Michael S. Lawrence, Christian von Mering, Hidewaki Nakagawa, Benjamin J. Raphael, Mark A. Rubin, Chris Sander, Lincoln D. Stein, Joshua M. Stuart, Tatsuhiko Tsunoda, David A. Wheeler, Rory Johnson, Juri Reimand, Mark Gerstein, Ekta Khurana, Peter J. Campbell, Nuria Lopez-Bigas, Joachim Weischenfeldt, Rameen Beroukhim, Inigo Martincorena, Jakob Skou Pedersen, Gad Getz, Gary D. Bader, Jonathan Barenboim, Soren Brunak, Ken Chen, Jung Kyoon Choi, Jordi Deu-Pons, J. Lynn Fink, Joan Frigola, Carlo Gambacorti-Passerini, Dale W. Garsed, Ivo G. Gut, David Haan, Arif O. Harmanci, Mohamed Helmy, Ermin Hodzic, Jose M. G. Izarzugaza, Jong K. Kim, Jan O. Korbel, Erik Larsson, Shantao Li, Xiaotong Li, Shaoke Lou, Kathleen Marchal, Alexander Martinez-Fundichely, Patrick D. McGillivray, William Meyerson, Ferran Muinos, Marta Paczkowska, Kiejung Park, Tirso Pons, Sergio Pulido-Tamayo, Iker Reyes-Salazar, Matthew A. Reyna, Carlota Rubio-Perez, S. Cenk Sahinalp, Leonidas Salichos, Mark Shackleton, Raunak Shrestha, Alfonso Valencia, Miguel Vazquez, Lieven P. C. Verbeke, Jiayin Wang, Jonathan Warrell, Sebastian M. Waszak, Guanming Wu, Jun Yu, Xuanping Zhang, Yan Zhang, Zhongming Zhao, Lihua Zou, Kadir C. Akdemir, Eva G. Alvarez, Adrian Baez-Ortega, Paul C. Boutros, David D. L. Bowtell, Benedikt Brors, Kathleen H. Burns, Kin Chan, Isidro CortesCiriano, Ana Dueso-Barroso, Andrew J. Dunford, Paul A. Edwards, Xavier Estivill, Dariush Etemadmoghadam, Milana Frenkel-Morgenstern, Dmitry A. Gordenin, Barbara Hutter, David T. W. Jones, Young Seok Ju, Marat D. Kazanov, Leszek J. Klimczak, Youngil Koh, Eunjung Alice Lee, Jake June-Koo Lee, Andy G. Lynch, Geoff Macintyre, Florian Markowetz, Matthew Meyerson, Satoru Miyano, Fabio C. P. Navarro, Stephan Ossowski, Peter J. Park, John Pearson, Montserrat Puiggros, Karsten Rippe, Steven A. Roberts, Bernardo RodriguezMartin, Ralph Scully, David Torrents, Izar Villasante, Nicola Waddell, Lixing Yang, Sung-Soo Yoon, Jorge Zamora

NATURE (2020)

Article Physics, Multidisciplinary

Non-Normalizable Quasi-Equilibrium Solution of the Fokker-Planck Equation for Nonconfining Fields

Celia Anteneodo, Lucianno Defaveri, Eli Barkai, David A. Kessler

Summary: This study investigates the overdamped Langevin motion in a deep potential well, where a regularized BG statistics equation can predict the values of dynamical and thermodynamic observables in a non-normalizable quasi-equilibrium state. By eigenfunction expansion of the Fokker-Planck equation, an approximate time-independent solution in BG form valid for long time intervals but short compared to the escape time is obtained. The escaped particles follow a general free-particle statistics with an error function solution shifted due to initial potential well barriers. The validity of regularized BG statistics in describing the time-independent regime despite the non-normalizable quasi-stationary state is demonstrated.

ENTROPY (2021)

Article Oncology

DNA Polymerase and Mismatch Repair Exert Distinct Microsatellite Instability Signatures in Normal and Malignant Human Cells

Jiil Chung, Yosef E. Maruvka, Sumedha Sudhaman, Jacalyn Kelly, Nicholas J. Haradhvala, Vanessa Bianchi, Melissa Edwards, Victoria J. Forster, Nuno M. Nunes, Melissa A. Galati, Martin Komosa, Shriya Deshmukh, Vanja Cabric, Scott Davidson, Matthew Zatzman, Nicholas Light, Reid Hayes, Ledia Brunga, Nathaniel D. Anderson, Ben Ho, Karl P. Hodel, Robert Siddaway, A. Sorana Morrissy, Daniel C. Bowers, Valerie Larouche, Annika Bronsema, Michael Osborn, Kristina A. Cole, Enrico Opocher, Gary Mason, Gregory A. Thomas, Ben George, David S. Ziegler, Scott Lindhorst, Magimairajan Vanan, Michal Yalon-Oren, Alyssa T. Reddy, Maura Massimino, Patrick Tomboc, An Van Damme, Alexander Lossos, Carol Durno, Melyssa Aronson, Daniel A. Morgenstern, Eric Bouffet, Annie Huang, Michael D. Taylor, Anita Villani, David Malkin, Cynthia E. Hawkins, Zachary F. Pursell, Adam Shlien, Thomas A. Kunkel, Gad Getz, Uri Tabori

Summary: This study identified a new association between loss of polymerase proofreading and MSI, especially when both components are lost. Analysis of indels in microsatellites revealed five distinct signatures, providing insight into the mechanism of indel formation. The research demonstrates that MS-sigs can be a powerful clinical tool for diagnosing replication repair deficiency and predicting immunotherapy response.

CANCER DISCOVERY (2021)

Article Biology

A validated lineage-derived somatic truth data set enables benchmarking in cancer genome analysis

Megan Shand, Jose Soto, Lee Lichtenstein, David Benjamin, Yossi Farjoun, Yehuda Brody, Yosef Maruvka, Paul C. Blainey, Eric Banks

COMMUNICATIONS BIOLOGY (2020)

Article Physics, Multidisciplinary

Uncertainty Relation between Detection Probability and Energy Fluctuations

Felix Thiel, Itay Mualem, David Kessler, Eli Barkai

Summary: A classical random walker on a finite graph will always reach any other node, while quantum walks may exhibit non-ergodic features due to destructive interference. The final detection of the system is not guaranteed under repeated projective local measurements, as the Hilbert space is split into bright and dark subspaces. An uncertainty relation for detection probability deviations from the classical counterpart is found in terms of energy fluctuations.

ENTROPY (2021)

Article Physics, Multidisciplinary

Accurately approximating extreme value statistics

Lior Zarfaty, Eli Barkai, David A. Kessler

Summary: This paper discusses the classic problem of extreme value statistics, showing that the distribution of maxima converges to one of three limiting forms through the Fisher-Tippett-Gnedenko theorem. Utilizing the Gumbel limit allows for accurate approximation of the extreme value distribution, with parameters represented as power series and the underlying distribution transformed. Functional corrections to the Gumbel limit are considered, obtainable through Taylor expansion, which also helps characterize extreme value statistics in cases where the underlying distribution is unknown.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2021)

Article Multidisciplinary Sciences

Radiation-related genomic profile of papillary thyroid carcinoma after the Chernobyl accident

Lindsay M. Morton, Danielle M. Karyadi, Chip Stewart, Tetiana Bogdanova, Eric T. Dawson, Mia K. Steinberg, Jieqiong Dai, Stephen W. Hartley, Sara J. Schonfeld, Joshua N. Sampson, Yosef E. Maruvka, Vidushi Kapoor, Dale A. Ramsden, Juan Carvajal-Garcia, Charles M. Perou, Joel S. Parker, Marko Krznaric, Meredith Yeager, Joseph F. Boland, Amy Hutchinson, Belynda D. Hicks, Casey L. Dagnall, Julie M. Gastier-Foster, Jay Bowen, Olivia Lee, Mitchell J. Machiela, Elizabeth K. Cahoon, Alina Brenner, Kiyohiko Mabuchi, Vladimir Drozdovitch, Sergii Masiuk, Mykola Chepurny, Liudmyla Yu Zurnadzhy, Maureen Hatch, Amy Berrington de Gonzalez, Gerry A. Thomas, Mykola D. Tronko, Gad Getz, Stephen J. Chanock

Summary: The 1986 Chernobyl nuclear power plant accident resulted in an increase in papillary thyroid carcinoma (PTC) incidence in surrounding regions, especially in children exposed to radioactive iodine (I-131). Analysis of 440 PTCs from Ukraine showed radiation dose-dependent genomic alterations, with fusion drivers being enriched in individuals who were younger at exposure. Transcriptomic and epigenomic features were strongly associated with driver events, but not radiation dose, indicating DNA double-strand breaks as early carcinogenic events after environmental radiation exposure.

SCIENCE (2021)

Article Biochemistry & Molecular Biology

Ordered hexagonal patterns via notch-delta signaling

Eial Teomy, David A. Kessler, Herbert Levine

Summary: This study explores the use of notch-delta signaling in constructing ordered patterns of cellular differentiation in biology. Through a mathematical model, it analyzes the process of pattern formation and identifies different types of cellular patterns that can be produced under varying parameter conditions.

PHYSICAL BIOLOGY (2021)

Article Physics, Fluids & Plasmas

Extinction time distributions of populations and genotypes

David A. Kessler, Nadav M. Shnerb

Summary: This study aims to provide a comprehensive survey by examining a range of scenarios to understand the time distribution and fluctuations of population extinction. The researchers consider the impact of individual stochasticity on the extinction process and propose several generic criteria for classifying different experimental and empirical systems, thereby enhancing our understanding of the mechanisms governing extinction dynamics.

PHYSICAL REVIEW E (2023)

Article Mathematics

The Asymptotics of Factorials, Binomial Coefficients and Catalan Numbers

David A. Kessler, Jeremy Schiff

Summary: This article presents a variety of not-well-known asymptotic series for factorials, binomial coefficients, and Catalan numbers, all of which only have even or odd powers. The significance of this property is discussed in terms of the asymptotic evenness or oddness of the underlying quantities.

JOURNAL OF INTEGER SEQUENCES (2021)

Article Optics

First-detection time of a quantum state under random probing

David A. Kessler, Eli Barkai, Klaus Ziegler

Summary: The study focuses on the detection of quantum systems at random time intervals, deriving statistical results such as probabilities and mean values. It is proven that the mean detection time is related to the average number of attempts and average time intervals. The study also explores various interval distributions and Hamiltonians in the detection process.

PHYSICAL REVIEW A (2021)

Article Biochemistry & Molecular Biology

Proteogenomic Landscape of Breast Cancer Tumorigenesis and Targeted Therapy

Karsten Krug, Eric J. Jaehnig, Shankha Satpathy, Lili Blumenberg, Alla Karpova, Meenakshi Anurag, George Miles, Philipp Mertins, Yifat Geffen, Lauren C. Tang, David Heiman, Song Cao, Yosef E. Maruvka, Jonathan T. Lei, Chen Huang, Ramani B. Kothadia, Antonio Colaprico, Chet Birger, Jarey Wang, Yongchao Dou, Bo Wen, Zhiao Shi, Yuxing Liao, Maciej Wiznerowicz, Matthew A. Wyczalkowski, Xi Steven Chen, Jacob J. Kennedy, Amanda G. Paulovich, Mathangi Thiagarajan, Christopher R. Kinsinger, Tara Hiltke, Emily S. Boja, Mehdi Mesri, Ana Robles, Henry Rodriguez, Thomas F. Westbrook, Li Ding, Gad Getz, Karl R. Clauser, David Fenyo, Kelly Ruggles, Bing Zhang, D. R. Mani, Steven A. Carr, Matthew J. Ellis, Michael A. Gillette

Article Optics

Non-Hermitian and Zeno limit of quantum systems under rapid measurements

Felix Thiel, David A. Kessler

PHYSICAL REVIEW A (2020)

Article Optics

Quantization of the mean decay time for non-Hermitian quantum systems

Felix Thiel, David A. Kessler, Eli Barkai

PHYSICAL REVIEW A (2020)

Article Oncology

Single-cell RNA sequencing reveals compromised immune microenvironment in precursor stages of multiple myeloma

Oksana Zavidij, Nicholas J. Haradhvala, Tarek H. Mouhieddine, Romanos Sklavenitis-Pistofidis, Songjie Cai, Mairead Reidy, Mahshid Rahmat, Abdallah Flaifel, Benjamin Ferland, Nang K. Su, Michael P. Agius, Jihye Park, Salomon Manier, Mark Bustoros, Daisy Huynh, Marzia Capelletti, Brianna Berrios, Chia-Jen Liu, Meng Xiao He, Esteban Braggio, Rafael Fonseca, Yosef Maruvka, Jennifer L. Guerriero, Melissa Goldman, Eliezer van Allen, Steven A. McCarroll, Jamil Azzi, Gad Getz, Irene M. Ghobrial

NATURE CANCER (2020)

Article Biology

A framework for relating natural movement to length and quality of life in human and non-human animals

Iain Hunter, Raz Leib

Summary: Natural movement is related to health, but it is difficult to measure. Existing methods cannot capture the full range of natural movement. Comparing movement across different species helps identify common biomechanical and computational principles. Developing a system to quantify movement in freely moving animals in natural environments and relating it to life quality is crucial. This study proposes a theoretical framework based on movement ability and validates it in Drosophila.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

A geometric approach to the evolution of altruism

Andy Gardner

Summary: Fisher's geometric model is a useful tool for predicting key properties of Darwinian adaptation, and here it is applied to predict differences between the evolution of altruistic versus nonsocial phenotypes. The results suggest that the effect size maximizing probability of fixation is smaller in the context of altruism and larger in the context of nonsocial phenotypes, leading to lower overall probability of fixation for altruism and higher overall probability of fixation for nonsocial phenotypes.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

A mathematical framework for the emergence of winners and losers in cell competition

Thomas F. Pak, Joe Pitt-Francis, Ruth E. Baker

Summary: Cell competition is a process where cells interact in multicellular organisms to determine a winner or loser status, with loser cells being eliminated through programmed cell death. The winner cells then populate the tissue. The outcome of cell competition is context-dependent, as the same cell type can win or lose depending on the competing cell type. This paper proposes a mathematical framework to study the emergence of winner or loser status, highlighting the role of active cell death and identifying the factors that drive cell competition in a cell-based modeling context.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

The eco-evolutionary dynamics of Batesian mimicry

Haruto Tomizuka, Yuuya Tachiki

Summary: Batesian mimicry is a strategy in which palatable prey species resemble unpalatable prey species to avoid predation. The evolution of this mimicry plays a crucial role in protecting the unpalatable species from extinction.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

Gene drives for the extinction of wild metapopulations

Jason W. Olejarz, Martin A. Nowak

Summary: Gene drive technology shows potential for population control, but its release may have unpredictable consequences. The study suggests that the failure of suppression is a natural outcome, and there are complex dynamics among wild populations.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

Intelligent phenotype-detection and gene expression profile generation with generative adversarial networks

Hamid Ravaee, Mohammad Hossein Manshaei, Mehran Safayani, Javad Salimi Sartakhti

Summary: Gene expression analysis is valuable for cancer classification and phenotype identification. IP3G, based on Generative Adversarial Networks, enhances gene expression data and discovers phenotypes in an unsupervised manner. By converting gene expression profiles into images and utilizing IP3G, new phenotype profiles can be generated, improving classification accuracy.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

Network-based uncertainty quantification for mathematical models in epidemiology

Beatrix Rahnsch, Leila Taghizadeh

Summary: This study forecasts the evolution of the COVID-19 pandemic in Germany using a network-based inference method and compares it with other approaches. The results show that the network-inference based approach outperforms other methods in short-to mid-term predictions, even with limited information about the new disease. Furthermore, predictions based on the estimation of the reproduction number in Germany can yield more reliable results with increasing data availability, but still cannot surpass the network-inference based algorithm.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

Dynamics of cell-type transition mediated by epigenetic modifications

Rongsheng Huang, Qiaojun Situ, Jinzhi Lei

Summary: Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. Random inheritance of epigenetic states plays a pivotal role in stem cell differentiation. This computational model provides valuable insights into the intricate mechanism governing stem cell differentiation and cell reprogramming, offering a promising path for enhancing the field of regenerative medicine.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

Comparative analysis of kinetic realizations of insulin signaling

Patrick Vincent N. Lubenia, Eduardo R. Mendoza, Angelyn R. Lao

Summary: This study compares insulin signaling in healthy and type 2 diabetes states using reaction network analysis. The results show similarities and differences between the two conditions, providing insights into the mechanisms of insulin resistance, including the involvement of other complexes, less restrictive interplay between species, and loss of concentration robustness in GLUT4.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

Simulating tumor volume dynamics in response to radiotherapy: Implications of model selection

Nuverah Mohsin, Heiko Enderling, Renee Brady-Nicholls, Mohammad U. Zahid

Summary: Mathematical modeling is crucial in understanding radiobiology and designing treatment approaches in radiotherapy for cancer. This study compares three tumor volume dynamics models and analyzes the implications of model selection. A new metric, the point of maximum reduction of tumor volume (MRV), is introduced to quantify the impact of radiotherapy. The results emphasize the importance of caution in selecting models of response to radiotherapy due to the artifacts imposed by each model.

JOURNAL OF THEORETICAL BIOLOGY (2024)

Article Biology

Pillars of theoretical biology: Biochemical systems analysis, I, II and III

Armindo Salvador

Summary: Michael Savageau's Biochemical Systems Analysis papers have had a significant impact on Systems Biology, generating core concepts and tools. This article provides a brief summary of these papers and discusses the most relevant developments in Biochemical Systems Theory since their publication.

JOURNAL OF THEORETICAL BIOLOGY (2024)