<SEC-DOCUMENT>0001628280-25-039732.txt : 20250811
<SEC-HEADER>0001628280-25-039732.hdr.sgml : 20250811
<ACCEPTANCE-DATETIME>20250811210056
ACCESSION NUMBER:		0001628280-25-039732
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20250807
FILED AS OF DATE:		20250811
DATE AS OF CHANGE:		20250811

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Jones Marie L.
		CENTRAL INDEX KEY:			0001968991
		ORGANIZATION NAME:           	

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-42790
		FILM NUMBER:		251203694

	MAIL ADDRESS:	
		STREET 1:		1213 INNSBRUCK DRIVE
		CITY:			SUNNYVALE
		STATE:			CA
		ZIP:			94089

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			Heartflow, Inc.
		CENTRAL INDEX KEY:			0001464521
		STANDARD INDUSTRIAL CLASSIFICATION:	SURGICAL & MEDICAL INSTRUMENTS & APPARATUS [3841]
		ORGANIZATION NAME:           	08 Industrial Applications and Services
		EIN:				260506743
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0811

	BUSINESS ADDRESS:	
		STREET 1:		331 E EVELYN AVENUE
		CITY:			MOUNTAIN VIEW
		STATE:			CA
		ZIP:			94041
		BUSINESS PHONE:		650-241-1221

	MAIL ADDRESS:	
		STREET 1:		331 E EVELYN AVENUE
		CITY:			MOUNTAIN VIEW
		STATE:			CA
		ZIP:			94041

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	Cardiovascular Simulation, Inc.
		DATE OF NAME CHANGE:	20090519
</SEC-HEADER>
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<DESCRIPTION>FORM 4
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    <issuer>
        <issuerCik>0001464521</issuerCik>
        <issuerName>Heartflow, Inc.</issuerName>
        <issuerTradingSymbol>HTFL</issuerTradingSymbol>
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            <rptOwnerCik>0001968991</rptOwnerCik>
            <rptOwnerName>Jones Marie L.</rptOwnerName>
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            <rptOwnerStreet1>C/O HEARTFLOW, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>331 E. EVELYN AVENUE</rptOwnerStreet2>
            <rptOwnerCity>MOUNTAIN VIEW</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94041</rptOwnerZipCode>
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            <officerTitle>Chief Accounting Officer, VP</officerTitle>
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                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Convertible Promissory Note</value>
            </securityTitle>
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                <value>15.20</value>
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                <value>2025-08-11</value>
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    <footnotes>
        <footnote id="F1">Represents restricted stock units (&quot;RSUs&quot;), with a vesting commencement date of August 7, 2025 (the &quot;Vesting Commencement Date&quot;). 1/16th of the RSUs vest on each quarterly anniversary of the Vesting Commencement Date, subject to continued service through the applicable vesting date.</footnote>
        <footnote id="F2">Upon the closing of Heartflow, Inc.'s (&quot;Heartflow&quot;) initial public offering, the convertible promissory notes automatically converted into shares of Heartflow's common stock at a conversion price of 80% of the price per share in Heartflow's initial public offering, subject to a valuation ceiling of $2.0 billion. The shares of Heartflow's common stock that were issuable upon conversion of the convertible promissory note had no expiration date. These shares are reported in Table II above on an as-converted basis.</footnote>
        <footnote id="F3">1/4th of the options will vest on January 8, 2026, and the remaining shares will vest and become exercisable in monthly installments until January 8, 2029, subject to continued service through the applicable vesting date.</footnote>
        <footnote id="F4">The option vests 1/48 on each monthly anniversary of the Vesting Commencement Date, subject to continued service through the applicable vesting date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Angela Ahmad, Attorney-in-Fact for Marie L. Jones</signatureName>
        <signatureDate>2025-08-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
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</SEC-DOCUMENT>
