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Dynamics of Advantageous Mutant Spread in Spatial Death-Birth and Birth-Death Moran Models

Communications on Applied Mathematics and Computation 2024年第1期6卷 576-604页

作者： Jasmine Foo Einar Bjarki gunnarsson Kevin Leder David Sivakoff School of Mathematics University of MinnesotaTwin CitiesMN55455USA Department of Industrial and Systems Engineering University of MinnesotaTwin CitiesMN55455USA Departments of Statistics and Mathematics The Ohio State UniversityColumbusOH43210USA

The spread of an advantageous mutation through a population is of fundamental interest in population genetics. While the classical Moran model is formulated for a well-mixed population, it has long been recognized that in real-world applications, the population usually has an explicit spatial structure which can significantly influence the dynamics. In the context of cancer initiation in epithelial tissue, several recent works have analyzed the dynamics of advantageous mutant spread on integer lattices, using the biased voter model from particle systems theory. In this spatial version of the Moran model, individuals first reproduce according to their fitness and then replace a neighboring individual. From a biological standpoint, the opposite dynamics, where individuals first die and are then replaced by a neighboring individual according to its fitness, are equally relevant. Here, we investigate this death-birth analogue of the biased voter model. We construct the process mathematically, derive the associated dual process, establish bounds on the survival probability of a single mutant, and prove that the process has an asymptotic shape. We also briefly discuss alternative birth-death and death-birth dynamics, depending on how the mutant fitness advantage affects the dynamics. We show that birth-death and death-birth formulations of the biased voter model are equivalent when fitness affects the former event of each update of the model, whereas the birth-death model is fundamentally different from the death-birth model when fitness affects the latter event.

关键词： Spatial death-birth models Spatial birth-death models Spatial evolutionary models Spatial cancer models Evolutionary graph theory Stochastic processes Biased voter model Dual process Fixation probability Shape theorem

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THE CErVICAL THICKNESS OF THE MANDIBULAr ALVEOLAr PrOCESS AND SKELETAL BONE MINErAL DENSITY.

THE CERVICAL THICKNESS OF THE MANDIBULAR ALVEOLAR PROCESS AN...

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1st International Conference on Bone and Mineral research

作者： Grethe Jonasson gunnarsson r Kiliaridis S Department of Orthodontics Gteborg University GothenborgSweden.

＜正＞In the present study we have examined the influence of skeletal bone mineral density on the shape and thickness of the mandibular alveolar *** objective was to find a simple and cheap method to detect individuals with low bone mass and risk of osteoporotic fractures that could be used by dentists in ordinary dental practices without special accommodations like panoramic and digital radiographs. The alveolar process of the mandible and the maxilla is highly dependent of the presence of *** newborn baby has no alveolar process and the alveolar bone decreases in size by resorption after extraction of *** is

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Somatonorm治疗特发性生长激素缺乏儿童的初步经验

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中华内分泌代谢杂志 1989年第1期5卷 7-10页

作者：史轶蘩刘蓉鲍秀兰邓洁英高淑敏张苏萍 r.gunnarsson 北京协和医院内分泌科儿科 KibiVitrum Peptide AB S ockholm

本文报告用重组hGH治疗9例特发性hGH缺乏儿童的疗效。治疗1年,身高生长速率由2.6±0.2增至10.7±0.5cm/年。剂量每周0.7 IU/kg、分7日皮下注射者比每周0.5 IU/kg、分3日肌肉注射者疗效更好。用药后除3例血清T_4降低,2例有未妨碍生长速... 详细信息

本文报告用重组hGH治疗9例特发性hGH缺乏儿童的疗效。治疗1年,身高生长速率由2.6±0.2增至10.7±0.5cm/年。剂量每周0.7 IU/kg、分7日皮下注射者比每周0.5 IU/kg、分3日肌肉注射者疗效更好。用药后除3例血清T_4降低,2例有未妨碍生长速度的抗hGH抗体外,无其他副作用。

关键词：生长激素缺乏儿童侏儒

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卒中介入治疗培训指南：国际多学会共识文件

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国际脑血管病杂志 2017年第5期25卷 396-399页

作者： Lavine SD Cockroft K Hoh B Bambakidis N Khalessi AA Woo H riina H Siddiqui A Hirsch JA Chong W rice H Wenderoth J Mitchell P Coulthard A Signh TJ Phatorous C Khangure M Klurfan P ter Brugge K Iancu D gunnarsson T Pongpech S rodesch G Soderman M Taylor A Krings T Orbach D Picard L Suh DC Zheng HQ Jansen O Muto M Szikora I Pierot L Brouwer P Gralla J renowden S Andersson T Fiehler J Turjman F White P Januel AC Spelle L Kulcsar Z Chapot r Biondi A Dima S Taschner C Szajner M Krajina A Sakai N Matsumaru Y Yoshknura S Ezura M Fujinaka T Iihara K Ishii A Higashi T Hirohata M Hyodo A Ito Y Kawanishi M Kiyosue H Kobayashi E Kobayashi S Kuwayama N Matsumoto Y Miyachi S Murayama Y Nagata I Nakahara I Nemoto S Niimi Y Oishi H Satomi J Satow T Sugiu K Tanaka M Terada T Yamagami H Diaz O Lylyk P Jayaraman MV Patsalides A Gandhi CD Lee SK Abruzzo T Albani B Ansari SA Arthur AS Baxter BW Bulsara Kr Chen M Almandoz JE Fraser JF Heck DV Hetts SW Hussain MS Klucznik rP Leslie-Mawzi TM Mack WJ McTaggart rA Meyers PM Mocco J Prestigiacomo CA Pride GL rasmussen PA Starke rM Sunenshine PJ Tarr rW Frei DF Pabo M Nogueira rG Zaidat OO Jovin T Linfante I Yavagal D Liebeskind D Novakovic r Pongpech S 许岩孙瑞郭芮兵 From the American Association of Neurological Surgeons/Congress of Neurological Surgeons (AANS/CNS) Rolling Meadows IL USA American Society of Neuroradiology (ASNr) Oak Brook IL USA Asian Australasian Federation of lnterventional and Therapeutic Neuroradiology (AAFITN) Bali Indonesia Australian and New Zealand Society of Neuroradiobgy-Conjomt Committee for recognition of Training in Interventional Neuroradiology (CCINr) representing the rANZCr (ANZSNr) ANZAN and NSA Sydney Australia Canadian Interventional Neuro Group (CING) Edmonton AB Canada World Federation of Interventional and Therapeutic Neuroradiology (WFITN) Gold Coast Australia European Society of Neuroradiology (ESNr) Milan Italy European Society of Minimally Invasive Neurologic Therapy (ESMINT) Nice France Japanese Society for Neuroendovascular therapy (JSNET) Okayama Japan Sociedad Ibero Latino Americana de Neuroradiologica (SILAN) Cartagena Colombia Society of Neurolnterventional Surgery (SNIS) Washington DC USA Society of Vascular and Interventional Neurology (SVIN) Brooklyn NY USA 南京大学医学院附属金陵医院(南京军区南京总医院)神经内科 210002 解放军第一0一医院(无锡太湖医院)神经内科无锡214004

1背景缺血性卒中是全球人口死亡和残疾的首要原因。很多急性大血管闭塞（emergent large vesselocclusion，ELVO）患者都会遗留长期残疾。事实上，这些颅内大动脉闭塞经常会导致大面积脑损伤，进而造成患者死亡或严重致残。

关键词：缺血性卒中培训指南介入治疗文件学会国际血管闭塞动脉闭塞

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