ACMD Seminar: High-Order Numerical Methods for Integro-differential Equations in Biological Field Effect Transistors

Jack Deye
Undergraduate Researcher, Dept. of Mathematics, UCLA

Tuesday, Aug 26, 2025, 3:00-4:00 PM ET (1:00-2:00 PM MT)

In-person at Bldg. 101 LR-D* with VTC to Boulder 1-4072
Online at: Zoom Gov (email seminar chairs for link to talk)

Abstract: Biological field effect transistors (Bio-FETs) are bio-electronic instruments that offer novel biomarker measurements, which promise to advance medical diagnostic technology. Traditionally, measurement techniques require specialized facilities and expensive equipment; however, Bio-FETs offer rapid, accurate and cost-effective measurements in a hand-held and portable form. In these devices, chemical reagents are injected into a solution-well and diffuse to the surface to bind with receptors confined to a biochemical gate, which produces an electrical signal. A mathematical model for this process takes the form of an boundary integral equation with a kernel that is logarithmically singular. Various quadrature techniques are used to discretize the integral, including Gauss-Legendre quadrature and a modified trapezoidal rule with Kress quadrature. This leads to a Nyström scheme, which is then solved using an implicit Runge-Kutta method and a suitable nonlinear solver. Practical applications of the model are discussed as well as comparing the model to experimental data.

Bio: Jack Deye is an undergraduate at UCLA as a Math of Computation major; he is a current SURF student under Dr. Ryan Evans and this is his second year at NIST as last year his work focused on radial basis functions and optimization techniques. His interests lie in the intersection of applied math and computer science.

Host: Ryan Evans

Note: This talk will be recorded to provide access to NIST staff and associates who could not be present to the time of the seminar. The recording will be made available in the Math channel on NISTube, which is accessible only on the NIST internal network. This recording could be released to the public through a Freedom of Information Act (FOIA) request. Do not discuss or visually present any sensitive (CUI/PII/BII) material. Ensure that no inappropriate material or any minors are contained within the background of any recording. (To facilitate this, we request that cameras of attendees are muted except when asking questions.)

*Safety Precaution: The hallway leading from the Courtyard to the exit closest to B-111 and B-113 will be used by contractors to move debris, machinery, and other supplies, as well as will be heavily trafficked by the contractors throughout the process. Be aware of the safety precautions posted during this time.

Note: Visitors from outside NIST must contact Meliza Lane at least 24 hours in advance.