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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Seminar on Bioinformatics Some advances of modeling complex traits evolution as a wave
Some advances of modeling complex traits evolution as a wave
Organizer
Shing Toung Yau
Speaker
Qi Wu
Time
Monday, December 23, 2024 11:00 AM - 11:30 AM
Venue
Online
Abstract
There has long been attempts to make analogy between quantum mechanics and evolutionary dynamics. However, although these works formed elegant frameworks using various equations to explain evolution of quantitative or complex trait, there is great theoretical gap between the mathematical treatment and evolutionary implications. Questions are hard to be answered such that what does the Harmiltonian or momentum mean for a trait of a population? Here we suggest a straightforward analogy that with some limitations on the fertility of an episodes of selection, the evolution of a trait can be compared as a special wave. We suggested a de broglie-like relation and construct a schrodinger-like equation. a more complicated form can be deduced from a diffusion equation, whose form is widely used in population genetics. A trait iteration equation based on the relationship involving the phenotypic value and fitness of the wave is obtained, which has a form of implicit function. The relation between the implicit function form of iteration function and schrodinger equation is to be discovered.
Beijing Institute of Mathematical Sciences and Applications
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