Tianlan Chen

ORCID: 0000-0002-0148-8832
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About
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Research Areas
  • Nonlinear Differential Equations Analysis
  • Nonlinear Partial Differential Equations
  • Electrowetting and Microfluidic Technologies
  • Advanced Mathematical Modeling in Engineering
  • Innovative Microfluidic and Catalytic Techniques Innovation
  • Microfluidic and Capillary Electrophoresis Applications
  • Biosensors and Analytical Detection
  • Differential Equations and Numerical Methods
  • Differential Equations and Boundary Problems
  • Geometric Analysis and Curvature Flows
  • Modular Robots and Swarm Intelligence
  • Advanced Mathematical Physics Problems
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Advanced Differential Geometry Research
  • Numerical methods for differential equations
  • Stability and Controllability of Differential Equations
  • Cinema and Media Studies
  • Contact Mechanics and Variational Inequalities
  • Advanced Differential Equations and Dynamical Systems
  • Spectral Theory in Mathematical Physics
  • Geometric and Algebraic Topology
  • Advanced biosensing and bioanalysis techniques
  • Carbon and Quantum Dots Applications
  • Pulsed Power Technology Applications
  • Fractional Differential Equations Solutions

Northwest Normal University
2009-2024

University of Macau
2012-2020

Guizhou Minzu University
2020

Institute of Microelectronics
2020

This study proposed a digital microfluidic system for the on-site diagnosis of multiple diseases. The result is visually detectable, and RGB-based image analysis method was established under different lighting conditions.

10.1039/d2lc01156e article EN Lab on a Chip 2023-01-01

Abstract A digital microfluidic (DMF) system has been developed for loop-mediated isothermal amplification (LAMP)-based pathogen nucleic acid detection using specific low melting temperature (T m ) Molecular Beacon DNA probes. positive-temperature-coefficient heater with a sensor real-time thermal regulation was integrated into the control unit, which generated actuation signals droplet manipulation. To enhance specificity of LAMP reaction, low-T probes were designed within single-stranded...

10.1038/s41598-017-14698-x article EN cc-by Scientific Reports 2017-10-31

10.1016/j.jmaa.2025.129422 article EN Journal of Mathematical Analysis and Applications 2025-02-01

The complexity of droplet hydrodynamics on a digital microfluidic (DMF) system eventually weakens its potential for application in large-scale chemical/biological micro-reactors. We describe here an intelligent DMF technology to address that intricacy. A wide variety control-engaged manageability is proposed and demonstrated through the operation our modular prototype, which comprises: (i) rigid profiling ability different droplet's under real-time trajectory track droplet-derived...

10.1039/c2lc41156c article EN Lab on a Chip 2012-11-29

Recently, significant progress has been made in the development of microdevices for point-of-care infectious disease detection. However, most only allow limited steps, such as DNA amplification on chip, while sample preparation, lysis and extraction, is conducted off chip using traditional method. In this study, an all-in-one platform was developed, which incorporated all necessary procedures nucleic acid Our on-chip extraction method utilized magnetic bead-based technology a hybrid...

10.3390/bios14010050 article EN cc-by Biosensors 2024-01-18

3D microblade structures were fabricated on digital microfluidic chips for precise and parallel droplet splitting of biological samples disease diagnostics.

10.1039/c6lc01539e article EN cc-by Lab on a Chip 2017-01-01

The worldwide COVID-19 pandemic has changed people's lives and the diagnostic landscape. nucleic acid amplification test (NAT) as gold standard for SARS-CoV-2 detection been applied in containing its transmission. However, there remains a lack of an affordable on-site system at resource-limited areas. In this study, low cost "sample-in-answer-out" incorporating extraction, purification, was developed on single macrochannel-to-digital microfluidic chip. macrochannel fluidic subsystem worked...

10.1039/d3lc00728f article EN Lab on a Chip 2023-11-09

A novel thermal digital microfluidic (T-DMF) device enables precise modulation and pipelined measurement of multiple samples. Ultrafast DNA melting curve analysis is achieved in less than 7 seconds, with the resolution adequate for single-nucleotide discrimination.

10.1039/c5lc01533b article EN cc-by-nc Lab on a Chip 2016-01-01

The coronavirus disease 2019 pandemic has spread worldwide and caused more than six million deaths globally. Therefore, a timely accurate diagnosis method is of pivotal importance for controlling the dissemination expansions. Nucleic acid detection by reverse transcription-polymerase chain reaction (RT-PCR) generally requires centralized laboratories skilled operators, significantly restricting its use in rural areas field settings. digital microfluidic (DMF) technique provides better option...

10.3390/mi13101650 article EN cc-by Micromachines 2022-09-30

A silane-based adhesion promoter suitable for a multi-dielectric-layer coating on digital microfluidic chip is reported.

10.1039/c5ra08202a article EN cc-by-nc RSC Advances 2015-01-01

Convenient electric control and electrode design allow flexible sample delivery on-chip in a wide range on microfluidics.

10.1039/d0lc00701c article EN Lab on a Chip 2020-01-01

Let $B_1$ be the unit ball in $\mathbb{R}^N$ with $N \geq 2$. $f\in C^1([0, \infty), \mathbb{R})$, $f(0)=0$,$f(\beta) = \beta, \ f(s) s$ for $s \in (\beta, \infty)$ and $f'(\beta)>\lambda^{r}_k$. D. Bonheure, B. Noris T. Weth [Ann. Inst. H. Poincaré Anal. Non Linéaire 29(4) (2012)] proved existence of nondecreasing, radial positive solutions semilinear Neumann problem$$-\Delta u+u=f(u) \text{in}\ B_1,\ \partial_\nu u=0 \text{on}\ \partial B_1$$for $k=2$, they conjectured that there exists a...

10.3934/dcdsb.2016066 article EN Discrete and Continuous Dynamical Systems - B 2016-09-01

We consider the discrete boundary value problems with mean curvature operator in Minkowski space ΔΔuk−11−(Δuk−1)2+λμk(uk)q=0,k∈[2,n−1]Z,Δu1=0=un, where λ>0 is a parameter, n>4 and q>1. Using upper lower solutions, topological methods Szulkin's critical point theory for convex, semicontinuous perturbations of C1-functionals, we show that there exists Λ>0 such above problem has zero, at least one or two positive solutions according to λ∈(0,Λ), λ=Λ λ>Λ. Moreover, Λ strictly decreasing respect n.

10.1080/10236198.2018.1554064 article EN The Journal of Difference Equations and Applications 2019-01-02

10.1016/j.jmaa.2011.06.003 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2011-06-19

We study the existence of positive solutions following fourth-order boundary value problem with integral conditions, , where is continuous, are nonnegative. The proof our main result based upon Krein-Rutman theorem and global bifurcation techniques.

10.1155/2011/297578 article EN cc-by Boundary Value Problems 2010-08-31

Digital Microfluidics (DMF) is a promising technology for biological/chemical micro-reactions due to its distinct droplet manageability via electronic automation, but the limited velocity of transportation has hindered DMF from utilization in high throughput applications. In this paper, by adaptively fitting actuation voltages dynamic motions movement under real-time feedback monitoring, two control-engaged electrode-driving techniques: Natural Discharge after Pulse (NDAP) and Cooperative...

10.1063/1.4873407 article EN cc-by AIP Advances 2014-04-01

10.1016/j.jmaa.2016.05.038 article EN Journal of Mathematical Analysis and Applications 2016-05-24

ABSTRACT In this paper, we show some nonexistence results of radial solutions for the following Minkowski curvature problems in an exterior domain: $$ \begin{cases} \ -\text{div} \big(\phi(\nabla v(x))\big)=k(x)f(v(x)), \quad\quad x\in\Omega,\\ v=0\ \text{on} \partial\Omega, \qquad\lim\limits_{x\rightarrow\infty}v(x)=0\\ \end{cases} R sufficiently large, where $\phi(s)=\frac{s}{\sqrt{1-s^{2}}}$ $s\in{\mathbb R}$ with $s^2\lt1,$ $\Omega=\{x\in{{\mathbb R}^{N}}:\ |x| \gt R\}$, $N\geq3$ is...

10.1093/qmath/haae023 article EN The Quarterly Journal of Mathematics 2024-05-09

We study the existence of positive increasing radial solutions for Neumann problems in unit ballWe do not impose any growth condition on nonlinearity at infinity. Our result is optimal and extends one main results Bonheure et al. [Ann. Inst. H. Poincaré Anal. Non Linéaire. 2012;29:573–588]. The proof our based upon bifurcation techniques.

10.1080/17476933.2016.1251420 article EN Complex Variables and Elliptic Equations 2016-11-02

We prove the existence of one‐signed periodic solutions second‐order nonlinear difference equation on a finite discrete segment with boundary conditions by combining some properties Green′s function fixed‐point theorem in cones.

10.1155/2012/437912 article EN cc-by Abstract and Applied Analysis 2011-12-11
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