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Applying Methods From Dynamical Systems to Topics at the Intersection of Statistical Mechanics and Biology
Applying Methods From Dynamical Systems to Topics at the Intersection of Statistical Mechanics and Biology
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202104700
- ISBN
- 9798280776623
- DDC
- 530
- 서명/저자
- Applying Methods From Dynamical Systems to Topics at the Intersection of Statistical Mechanics and Biology
- 발행사항
- [Sl] : University of California, Los Angeles, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 271 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
- 주기사항
- Advisor: Bruinsma, Robijn F.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Los Angeles, 2025.
- 초록/해제
- 요약The dynamics and behaviors of a variety of biological systems across a range of scales are investigated using tools from statistical mechanics and dynamical systems theory. Part I studies proteins that form catch bonds, bonds that strengthen when stretched by a force, which play crucial roles in the immune system. A theory of catch bonding is developed, which shows how the force-induced deformations of a protein-ligand bond can cause the bond's mean lifetime to switch between increasing and decreasing as the applied force is increased. This theory is then applied to a model of selectin-ligand bonds to show how the mechanics of the bond can give rise to triphasic catch bonding, a phenomenon found in experiments and not previously understood theoretically. Part II studies the dynamics of interacting cell populations. First, the effects of migration on the evolution of populations in spatially structured habitats is investigated. It is found that certain migration patterns can stabilize the coexistence of similar strains, and changes in migration pattern can induce both continuous and discontinuous critical transitions in the system's steady state population. Second, a framework for modeling coordinated tissue development is developed and applied to examples inspired by stem cell differentiation and by planaria worms that reproduce via fission. A unifying theme in Parts I and II is the use of bifurcation theory to understand systems' behaviors. Part III examines thermalization, the process by which systems of many particles approach thermodynamic equilibrium. The proper way to understand thermalization has long been a subject of debate, and in part III I build upon one approach for understanding thermalization. I define a generalization of a coarse-graining procedure often used to describe the convergence of phase space distributions to microcanonical equilibrium, and I prove that under this generalized coarse-graining, statistical ensembles dynamically converge to equilibrium when the dynamics have a common property called strong mixing.
- 일반주제명
- Physics
- 일반주제명
- Biophysics
- 일반주제명
- Biology
- 키워드
- Catch bond
- 기타저자
- University of California, Los Angeles Physics 0666
- 기본자료저록
- Dissertations Abstracts International. 86-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202104700
■006m o d
■007cr#unu||||||||
■020 ▼a9798280776623
■035 ▼a(MiAaPQ)AAI32116090
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aO'Day Barkan, Casey Michael.
■24510▼aApplying Methods From Dynamical Systems to Topics at the Intersection of Statistical Mechanics and Biology
■260 ▼a[Sl]▼bUniversity of California, Los Angeles▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a271 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-12, Section: B.
■500 ▼aAdvisor: Bruinsma, Robijn F.
■5021 ▼aThesis (Ph.D.)--University of California, Los Angeles, 2025.
■520 ▼aThe dynamics and behaviors of a variety of biological systems across a range of scales are investigated using tools from statistical mechanics and dynamical systems theory. Part I studies proteins that form catch bonds, bonds that strengthen when stretched by a force, which play crucial roles in the immune system. A theory of catch bonding is developed, which shows how the force-induced deformations of a protein-ligand bond can cause the bond's mean lifetime to switch between increasing and decreasing as the applied force is increased. This theory is then applied to a model of selectin-ligand bonds to show how the mechanics of the bond can give rise to triphasic catch bonding, a phenomenon found in experiments and not previously understood theoretically. Part II studies the dynamics of interacting cell populations. First, the effects of migration on the evolution of populations in spatially structured habitats is investigated. It is found that certain migration patterns can stabilize the coexistence of similar strains, and changes in migration pattern can induce both continuous and discontinuous critical transitions in the system's steady state population. Second, a framework for modeling coordinated tissue development is developed and applied to examples inspired by stem cell differentiation and by planaria worms that reproduce via fission. A unifying theme in Parts I and II is the use of bifurcation theory to understand systems' behaviors. Part III examines thermalization, the process by which systems of many particles approach thermodynamic equilibrium. The proper way to understand thermalization has long been a subject of debate, and in part III I build upon one approach for understanding thermalization. I define a generalization of a coarse-graining procedure often used to describe the convergence of phase space distributions to microcanonical equilibrium, and I prove that under this generalized coarse-graining, statistical ensembles dynamically converge to equilibrium when the dynamics have a common property called strong mixing.
■590 ▼aSchool code: 0031.
■650 4▼aPhysics
■650 4▼aBiophysics
■650 4▼aBiology
■653 ▼aCatch bond
■653 ▼aEvolutionary dynamics
■653 ▼aStatistical mechanics
■653 ▼aTissue development
■653 ▼aDynamical systems theory
■690 ▼a0605
■690 ▼a0786
■690 ▼a0306
■71020▼aUniversity of California, Los Angeles▼bPhysics 0666.
■7730 ▼tDissertations Abstracts International▼g86-12B.
■790 ▼a0031
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17358422▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
