### Abstract

The chapter surveys the mathematical models, problems, and algorithms of the thermoacoustic tomography (TAT) and photoacoustic tomography (PAT). TAT and PAT represent probably the most developed of the several novel “hybrid” methods of medical imaging. These new modalities combine different physical types of waves (electromagnetic and acoustic in case of TAT and PAT) in such a way that the resolution and contrast of the resulting method are much higher than those achievable using only acoustic or electromagnetic measurements.

Original language | English (US) |
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Title of host publication | Handbook of Mathematical Methods in Imaging: Volume 1, Second Edition |

Publisher | Springer New York |

Pages | 1117-1167 |

Number of pages | 51 |

ISBN (Print) | 9781493907908, 9781493907892 |

DOIs | |

State | Published - Jan 1 2015 |

### ASJC Scopus subject areas

- Mathematics(all)
- Computer Science(all)
- Engineering(all)
- Medicine(all)
- Biochemistry, Genetics and Molecular Biology(all)

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## Cite this

Kuchment, P., & Kunyansky, L. (2015). Mathematics of photoacoustic and thermoacoustic tomography. In

*Handbook of Mathematical Methods in Imaging: Volume 1, Second Edition*(pp. 1117-1167). Springer New York. https://doi.org/10.1007/978-1-4939-0790-8_51