Thermal analysis of injectable, cellular-scale optoelectronics with pulsed power

Yuhang Li, Xiaoting Shi, Jizhou Song, Chaofeng Lü, Tae Il Kim, Jordan G. McCall, Michael R. Bruchas, John A. Rogers, Yonggang Huang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


An ability to insert electronic/optoelectronic systems into precise locations of biological tissues provides powerful capabilities, especially in neuroscience such as optogenetics where light can activate/deactivate critical cellular signalling and neural systems. In such cases, engineered thermal management is essential, to avoid adverse effects of heating on normal biological processes. Here, an analytic model of heat conduction is developed for microscale, inorganic light-emitting diodes (μ-ILEDs) in a pulsed operation in biological tissues. The analytic solutions agree well with both three-dimensional finite-element analysis and experiments. A simple scaling law for the maximum temperature increase is presented in terms of material (e.g. thermal diffusivity), geometric (e.g. μ-ILED size) and loading parameters (e.g. pulsed peak power, duty cycle and frequency). These results provide useful design guidelines not only for injectable μ-ILED systems, but also for other similar classes of electronic and optoelectronic components.

Original languageEnglish (US)
Article number0142
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2156
StatePublished - Aug 8 2013


  • Light-emitting diode
  • Optoelectronics
  • Scaling law
  • Thermal analysis

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy


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