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Transient Pattern Formation in Biological Systems
Transient Pattern Formation in Biological Systems
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103123
- ISBN
- 9798280710030
- DDC
- 574.191
- 저자명
- Pan, Deng.
- 서명/저자
- Transient Pattern Formation in Biological Systems
- 발행사항
- [Sl] : Harvard University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 138 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
- 주기사항
- Advisor: Amir, Ariel.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2025.
- 초록/해제
- 요약This dissertation investigates transient pattern formation in biological systems through a combination of theoretical modeling, stochastic analysis, and simulation. Biological processes are often driven by local interactions and feedback mechanisms that give rise to complex, time-dependent patterns. Given the inherent heterogeneity and noise in living systems, traditional deterministic models are often insufficient to capture the full spectrum of behaviors observed in nature. Here, I develop and analyze different models that are robust to microscopic details while capturing essential dynamical features.One focus of this dissertation is the study of reaction-diffusion phenomena in immune cell signaling. I investigate how neutrophils generate self-regulating, transient chemical waves that coordinate a rapid yet contained response to injury or infection. The models show that the interplay between activators and locally produced inhibitors can naturally limit the spatial extent of these signaling waves, providing a mechanistic basis for preventing overreaction in immune responses.Further, I examine the role of mechanical stress in flow-driven pattern formation within porous media. By representing these media as dynamic networks in which individual conduits adapt through erosion and deposition, I identify critical thresholds that lead to distinct phase behaviors, such as channelization and homogenization. This work not only elucidates the feedback between fluid flow and structural evolution but also offers a simple approach to analyze complex networks.By applying a similar strategy to biological networks, I explore the emergence of optimized biological flow networks. By integrating local mechanical sensing into growth dynamics, I derive conditions under which vascular systems naturally converge toward configurations predicted by Murray's law-a hallmark of energy-efficient design observed in blood vessels, leaf venation, and even in the foraging networks of slime molds.Finally, I extend the classical mutation models, exemplified by the Luria-Delbruck experiment, to regimes where the effective mutation rate is significantly higher through modern gene-editing techniques. By formulating discrete stochastic models, I reveal novel phase transitions in DNA break-and-repair dynamics and demonstrate how randomness in molecular events influences cell fate and population heterogeneity.
- 일반주제명
- Biophysics
- 일반주제명
- Molecular biology
- 일반주제명
- Immunology
- 키워드
- Immune responses
- 기타저자
- Harvard University Engineering and Applied Sciences - Applied Physics
- 기본자료저록
- Dissertations Abstracts International. 86-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202103123
■006m o d
■007cr#unu||||||||
■020 ▼a9798280710030
■035 ▼a(MiAaPQ)AAI31938477
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a574.191
■1001 ▼aPan, Deng.▼0(orcid)0000-0002-4597-6942
■24510▼aTransient Pattern Formation in Biological Systems
■260 ▼a[Sl]▼bHarvard University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a138 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-12, Section: B.
■500 ▼aAdvisor: Amir, Ariel.
■5021 ▼aThesis (Ph.D.)--Harvard University, 2025.
■520 ▼aThis dissertation investigates transient pattern formation in biological systems through a combination of theoretical modeling, stochastic analysis, and simulation. Biological processes are often driven by local interactions and feedback mechanisms that give rise to complex, time-dependent patterns. Given the inherent heterogeneity and noise in living systems, traditional deterministic models are often insufficient to capture the full spectrum of behaviors observed in nature. Here, I develop and analyze different models that are robust to microscopic details while capturing essential dynamical features.One focus of this dissertation is the study of reaction-diffusion phenomena in immune cell signaling. I investigate how neutrophils generate self-regulating, transient chemical waves that coordinate a rapid yet contained response to injury or infection. The models show that the interplay between activators and locally produced inhibitors can naturally limit the spatial extent of these signaling waves, providing a mechanistic basis for preventing overreaction in immune responses.Further, I examine the role of mechanical stress in flow-driven pattern formation within porous media. By representing these media as dynamic networks in which individual conduits adapt through erosion and deposition, I identify critical thresholds that lead to distinct phase behaviors, such as channelization and homogenization. This work not only elucidates the feedback between fluid flow and structural evolution but also offers a simple approach to analyze complex networks.By applying a similar strategy to biological networks, I explore the emergence of optimized biological flow networks. By integrating local mechanical sensing into growth dynamics, I derive conditions under which vascular systems naturally converge toward configurations predicted by Murray's law-a hallmark of energy-efficient design observed in blood vessels, leaf venation, and even in the foraging networks of slime molds.Finally, I extend the classical mutation models, exemplified by the Luria-Delbruck experiment, to regimes where the effective mutation rate is significantly higher through modern gene-editing techniques. By formulating discrete stochastic models, I reveal novel phase transitions in DNA break-and-repair dynamics and demonstrate how randomness in molecular events influences cell fate and population heterogeneity.
■590 ▼aSchool code: 0084.
■650 4▼aBiophysics
■650 4▼aMolecular biology
■650 4▼aImmunology
■653 ▼aImmune responses
■653 ▼aImmune cell signaling
■653 ▼aStochastic analysis
■690 ▼a0786
■690 ▼a0982
■690 ▼a0307
■71020▼aHarvard University▼bEngineering and Applied Sciences - Applied Physics.
■7730 ▼tDissertations Abstracts International▼g86-12B.
■790 ▼a0084
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357054▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.


