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1-D Mathematical Modeling to Study the Mechanics of Pregnancy and Preeclampsia, Lymphatics, And Peripheral Artery Disease
1-D Mathematical Modeling to Study the Mechanics of Pregnancy and Preeclampsia, Lymphatics...
1-D Mathematical Modeling to Study the Mechanics of Pregnancy and Preeclampsia, Lymphatics, And Peripheral Artery Disease

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260202105518
ISBN  
9798263338626
DDC  
611.13
저자명  
Sedaghati, Farbod.
서명/저자  
1-D Mathematical Modeling to Study the Mechanics of Pregnancy and Preeclampsia, Lymphatics, And Peripheral Artery Disease
발행사항  
[Sl] : Georgia Institute of Technology, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
207 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-05, Section: B.
주기사항  
Advisor: Gleason, Rudolph L.
학위논문주기  
Thesis (Ph.D.)--Georgia Institute of Technology, 2024.
초록/해제  
요약The dissertation delves into the pivotal role of mathematical modeling in unraveling complex biological systems, ranging from cellular to organ levels. Despite extensive research, certain conditions like preeclampsia (PE), lymphedema, and peripheral arterial disease (PAD) remain insufficiently explored. These disorders are intricately linked to the mechanical environment, encompassing factors such as fluid transport, solid mechanical responses, and growth and remodeling mechanisms. For instance, in PE, compromised vascular remodeling of the uterine vasculature leads to reduced blood flow to the placenta, resulting in hypertension and related complications.Hemodynamics, crucial for normal physiological function, is often studied using mathematical models. While simpler models lack the capacity to capture axial wave behavior, higher-order models like 1-D models offer a balance between complexity and computational efficiency. These models account for spatial variations along each vessel axis, providing insights into cardiovascular regions with valves or bifurcations.The dissertation aims to assess the utility of employing 1-D mathematical models to investigate biological phenomena influenced by wall phenotype, such as during pregnancy. The objective is to validate whether these models, coupled with established concepts like growth and remodeling, can analyze biological events where the vascular system significantly impacts fluid transport mechanisms. Ultimately, leveraging established mathematical frameworks and paradigms, the dissertation endeavors to provide valuable insights into the underlying mechanisms governing disease manifestations.
일반주제명  
Carotid arteries
일반주제명  
Physiology
일반주제명  
Vein & artery diseases
일반주제명  
Investigations
일반주제명  
Flow velocity
일반주제명  
Blood vessels
일반주제명  
Mathematical models
일반주제명  
Lymphedema
일반주제명  
Normal distribution
일반주제명  
Pregnancy complications
일반주제명  
Mechanics
일반주제명  
Boundary conditions
일반주제명  
Partial differential equations
일반주제명  
Blood pressure
일반주제명  
Lymphatic system
일반주제명  
Coronary vessels
일반주제명  
Hypertension
일반주제명  
Hemodynamics
일반주제명  
Gestational age
일반주제명  
Fluid mechanics
일반주제명  
Mathematics
일반주제명  
Medicine
일반주제명  
Morphology
일반주제명  
Obstetrics
기타저자  
Georgia Institute of Technology.
기본자료저록  
Dissertations Abstracts International. 87-05B.
전자적 위치 및 접속  
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MARC

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■1001  ▼aSedaghati,  Farbod.
■24510▼a1-D  Mathematical  Modeling  to  Study  the  Mechanics  of  Pregnancy  and  Preeclampsia,  Lymphatics,  And  Peripheral  Artery  Disease
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■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a207  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-05,  Section:  B.
■500    ▼aAdvisor:  Gleason,  Rudolph  L.
■5021  ▼aThesis  (Ph.D.)--Georgia  Institute  of  Technology,  2024.
■520    ▼aThe  dissertation  delves  into  the  pivotal  role  of  mathematical  modeling  in  unraveling  complex  biological  systems,  ranging  from  cellular  to  organ  levels.  Despite  extensive  research,  certain  conditions  like  preeclampsia  (PE),  lymphedema,  and  peripheral  arterial  disease  (PAD)  remain  insufficiently  explored.  These  disorders  are  intricately  linked  to  the  mechanical  environment,  encompassing  factors  such  as  fluid  transport,  solid  mechanical  responses,  and  growth  and  remodeling  mechanisms.  For  instance,  in  PE,  compromised  vascular  remodeling  of  the  uterine  vasculature  leads  to  reduced  blood  flow  to  the  placenta,  resulting  in  hypertension  and  related  complications.Hemodynamics,  crucial  for  normal  physiological  function,  is  often  studied  using  mathematical  models.  While  simpler  models  lack  the  capacity  to  capture  axial  wave  behavior,  higher-order  models  like  1-D  models  offer  a  balance  between  complexity  and  computational  efficiency.  These  models  account  for  spatial  variations  along  each  vessel  axis,  providing  insights  into  cardiovascular  regions  with  valves  or  bifurcations.The  dissertation  aims  to  assess  the  utility  of  employing  1-D  mathematical  models  to  investigate  biological  phenomena  influenced  by  wall  phenotype,  such  as  during  pregnancy.  The  objective  is  to  validate  whether  these  models,  coupled  with  established  concepts  like  growth  and  remodeling,  can  analyze  biological  events  where  the  vascular  system  significantly  impacts  fluid  transport  mechanisms.  Ultimately,  leveraging  established  mathematical  frameworks  and  paradigms,  the  dissertation  endeavors  to  provide  valuable  insights  into  the  underlying  mechanisms  governing  disease  manifestations.
■590    ▼aSchool  code:  0078.
■650  4▼aCarotid  arteries
■650  4▼aPhysiology
■650  4▼aVein  &  artery  diseases
■650  4▼aInvestigations
■650  4▼aFlow  velocity
■650  4▼aBlood  vessels
■650  4▼aMathematical  models
■650  4▼aLymphedema
■650  4▼aNormal  distribution
■650  4▼aPregnancy  complications
■650  4▼aMechanics
■650  4▼aBoundary  conditions
■650  4▼aPartial  differential  equations
■650  4▼aBlood  pressure
■650  4▼aLymphatic  system
■650  4▼aCoronary  vessels
■650  4▼aHypertension
■650  4▼aHemodynamics
■650  4▼aGestational  age
■650  4▼aFluid  mechanics
■650  4▼aMathematics
■650  4▼aMedicine
■650  4▼aMorphology
■650  4▼aObstetrics
■690    ▼a0346
■690    ▼a0719
■690    ▼a0204
■690    ▼a0405
■690    ▼a0564
■690    ▼a0287
■690    ▼a0380
■71020▼aGeorgia  Institute  of  Technology.
■7730  ▼tDissertations  Abstracts  International▼g87-05B.
■790    ▼a0078
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17360394▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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