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[***] Indicates text has been omitted from this Exhibit pursuant to a confidential treatment request and has been filed separately with the Securities and Exchange Commission.
Exhibit 10.4A

|  | 2020.LICI.001.C
|  | California Institute of Technology

ADDENDUM TO
SECOND AMENDED AND RESTATED LICENSE AGREEMENT
THIS ADDENDUM TO SECOND AMENDED AND RESTATED LICENSE AGREEMENT (this “Addendum”) dated as of March 29, 2007 (the “Addendum Date”), is entered into between CALIFORNIA INSTITUTE OF TECHNOLOGY (“Caltech”), having an address at 1200 East California Boulevard, Pasadena, California 91125, and FLUIDIGM CORPORATION (“Licensee”), having a principal place of business at 7100 Shoreline Court, South San Francisco, California 94080, with respect to the following facts:
A. The parties entered into the Second Amended and Restated License Agreement (the “Agreement”) effective May 1, 2000, with a second restatement date as of May 1, 2004. All terms used, but not defined herein, shall have the respective meanings set forth in the Agreement.
B. On the terms and conditions of this Addendum, the parties desire to clarify and modify certain provisions to the Agreement.
NOW, THEREFORE, in consideration of the foregoing premises and the mutual covenants set forth below, the parties agree as follows:
1. Licensed Patents and Improvements.
1.1 The Agreement is amended by deleting Exhibit A to the Agreement and by replacing it with Exhibit A to this Addendum.
1.2 Caltech represents that it has disclosed to Licensee all Improvements arising prior to the Addendum Date.
1.3 The parties acknowledge that Exhibit A to this Addendum includes (a) all Improvements disclosed by Caltech to Licensee prior to the Addendum Date, and elected by Licensee to be included in the scope of the license grant by Caltech to Licensee under the Agreement, and (b) all updates on all Licensed Patents as of the Addendum Date. Caltech confirms that Licensee has taken all action on its part that is necessary for all subject matter included in Exhibit A to this Addendum to be included in the scope of the license grant by Caltech to Licensee under the Agreement.
2. Licensee Equity Interest and Improvement Periods.
2.1 Notwithstanding anything to the contrary in Article 5 of the Agreement, the Improvement Periods shall be those periods from June 1, 2003 through May 31, 2004, from June 1, 2004 through May 31, 2005, from [***]

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2.2 Notwithstanding anything to the contrary in Article 5 of the Agreement, (a) Licensee shall issue to Caltech [***] [***] shares of common stock of Licensee, pursuant to the terms of a reasonable and customary stock issuance agreement, and (b) the parties acknowledge that the issuance of such shares (in addition to the shares issued by Licensee to Caltech prior to the Second Restatement Date) shall be in full satisfaction of Licensee’s obligations to issue shares or otherwise make payments to Caltech pursuant to the Agreement.
3. Royalty Reports.
The parties acknowledge (a) that the royalty reports received by Caltech under Section 9.2 of the Agreement prior to the Addendum Date are presumed correct and not subject to challenge, audit or amendment, and (b) that the format of, and the methodology used by Licensee in preparing, the royalty reports under Section 9.2 of the Agreement are mutually acceptable and in compliance with the terms and conditions of the Agreement.
4. Patent Costs.
Notwithstanding anything to the contrary in Article 11 of the Agreement, Licensee shall have no obligation to reimburse Caltech for any costs or expenses incurred by Caltech in connection with the Licensed Patents that have not been reimbursed by Licensee prior to the Addendum Date.
5. Further Assurances.
Each party shall take such further actions, and execute such further documents and instruments, as reasonably requested by the other party to effectuate the grant of licenses and rights from Caltech to Licensee under the Agreement and otherwise to enable Licensee to enjoy the full benefit thereof.
6. Miscellaneous.
6.1 This Addendum shall be effective for all purposes as of the Addendum Date. Except as otherwise expressly modified by this Addendum, the Agreement shall remain in full force and effect in accordance with its terms.
6.2 This Addendum shall be governed by, interpreted and construed in accordance with the laws of the State of California, without regard to conflicts of law principles.
6.3 This Addendum may be executed in counterparts, each of which shall be deemed to be an original and together shall be deemed to be one and the same document.

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IN WITNESS WHEREOF, the parties have caused this Addendum to be duly executed and delivered effective as of the Addendum Date.

|  | California Institute of Technology |  |
|  | By: |  | /s/ Lawrence Gilbert |  |
|  | (Signature) |  |
|  | Lawrence Gilbert |  |
|  | (Printed Name) |  |
|  | SR DR Tech Transfer |  |
|  | (Title) |  |
|  | FLUIDIGM CORPORATION |  |
|  | By: |  | /s/ Gajus V. Worthington |  |
|  | (Signature) |  |
|  | Gajus V. Worthington |  |
|  | (Printed Name) |  |
|  | CEO |  |
|  | (Title) |  |

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EXHIBIT A
[TO BE ATTACHED]

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Appendix 1.7 Fluidigm Patent Family
US Cases
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