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Goodwill and Intangible Assets
3 Months Ended 12 Months Ended
Mar. 31, 2023
Dec. 31, 2022
Goodwill and Intangible Assets    
Goodwill and Intangible Assets

5.    Goodwill and Intangible Assets

There were no changes in the carrying amount of goodwill for the periods ended March 31, 2023 and December 31, 2022.

Intangible assets as of March 31, 2023 and December 31, 2022 consisted of the following:

    

    

March 31,

    

December 31, 

Useful Lives

2023

2022

Patent application costs

3 Years

$

405,848

$

382,285

Trade name and trademarks

3 Years

69,223

68,356

Intangible assets, gross

475,071

450,641

Less: Accumulated amortization

(236,261)

(198,955)

Intangible assets, net

$

238,810

$

251,686

Intangible asset amortization expense is recognized on a straight-line basis and intangible asset amortization expense for the three months ended March 31, 2023 and 2022 totaled $37 thousand and $24 thousand, respectively.

Estimated future amortization expense of intangible assets is as follows:

Years Ending December 31,

    

Amount

2023

$

111,006

2024

88,818

2025

38,166

2026

820

$

238,810

6.    Goodwill and Intangible Assets

There were no changes in the carrying amount of goodwill for the years ended December 31, 2022 and 2021.

Intangible assets as of December 31, 2022 and 2021 consisted of the following:

    

    

As of December 31,

Useful Lives

2022

2021

Patent application costs

 

3 years

$

382,285

$

207,630

Trade name and trademarks

 

3 years

 

68,356

 

86,999

Intangible assets, gross

 

 

450,641

 

294,629

Less: Accumulated amortization

 

 

(198,955)

 

(92,822)

Intangible assets, net

$

251,686

$

201,807

Intangible asset amortization expense is recognized on a straight-line basis and intangible asset amortization expense for the years ended December 31, 2022 and 2021 totaled $107 thousand and $70 thousand, respectively.

Estimated future amortization expense of intangible assets is as follows:

Years Ending December 31, 

    

Amount

2023

$

140,434

2024

 

80,940

2025

30,312

Total future amortization expense of intangible assets

$

251,686