SC 13G

SECURITIES & EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 13G

(Rule 13d-102)

INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT

TO RULES 13d-1(b), (c) AND (d) AND AMENDMENTS THERETO FILED

PURSUANT TO RULE 13d-2

(Amendment No.)*

Conatus Pharmaceuticals, Inc.

(Name of Issuer)

Common Stock, $.001 Par Value Per Share

(Title of Class of Securities)

20600T108

(CUSIP Number)

April 6, 2015

(Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule is filed:

¨          Rule 13d-1(b)

x         Rule 13d-1(c)

¨          Rule 13d-1(d)

(Page 1 of 15 Pages)

*The remainder of this cover page shall be filled out for a reporting person's initial filing on this form with respect to the subject class of securities, and for any subsequent amendment containing information which would alter the disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed to be "filed" for purposes of Section 18 of the Securities Exchange Act of 1934 ("Act") or otherwise subject to the liabilities of that section of the Act but shall be subject to all other provisions of the Act (however, see the Notes).

CUSIP No. 20600T108 13G Page 2 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	HealthCor Management, L.P.
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
	(see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	Delaware

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 1,001,458
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 1,001,458

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 1,001,458
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 5.22%
(12)	TYPE OF REPORTING PERSON (see instructions) PN

CUSIP No. 20600T108 13G Page 3 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	HealthCor Associates, LLC
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
	(see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	Delaware

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 1,001,458
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 1,001,458

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 1,001,458
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 5.22%
(12)	TYPE OF REPORTING PERSON (see instructions) OO - limited liability company

CUSIP No. 20600T108 13G Page 4 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	HealthCor Offshore Master Fund, L.P.
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	Cayman Islands

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 876,958
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 876,958

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 876,958
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 4.57%
(12)	TYPE OF REPORTING PERSON (see instructions) PN

CUSIP No. 20600T108 13G Page 5 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	HealthCor Offshore GP, LLC
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	Delaware

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 876,958
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 876,958

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 876,958
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 4.57%
(12)	TYPE OF REPORTING PERSON (see instructions) OO - limited liability company

CUSIP No. 20600T108 13G Page 6 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	HealthCor Group, LLC
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	Delaware

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 1,001,458
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 1,001,458

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 1,001,458
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 5.22%
(12)	TYPE OF REPORTING PERSON (see instructions) OO - limited liability company

CUSIP No. 20600T108 13G Page 7 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	Arthur Cohen
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	United States

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 1,001,458
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 1,001,458

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 1,001,458
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 5.22%
(12)	TYPE OF REPORTING PERSON (see instructions) IN

CUSIP No. 20600T108 13G Page 8 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	Joseph Healey
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	United States

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 1,001,458
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 1,001,458

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 1,001,458
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 5.22%
(12)	TYPE OF REPORTING PERSON (see instructions) IN

CUSIP No. 20600T108 13G Page 9 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	HealthCor Long Offshore Master Fund, L.P.
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	Cayman Islands

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 124,500
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 124,500

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 124,500
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 0.65%
(12)	TYPE OF REPORTING PERSON (see instructions) PN

CUSIP No. 20600T108 13G Page 10 of 15 Pages

(1)	NAMES OF REPORTING PERSONS
	HealthCor Long Master GP, LLC
(2)	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (see instructions)
		(a)  x
		(b)  ¨
(3)	SEC USE ONLY
(4)	CITIZENSHIP OR PLACE OF ORGANIZATION
	Delaware

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	(5)	SOLE VOTING POWER 0
	(6)	SHARED VOTING POWER 124,500
	(7)	SOLE DISPOSITIVE POWER 0
	(8)	SHARED DISPOSITIVE POWER 124,500

(9)	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 124,500
(10)	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES (see instructions)	¨
(11)	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 0.65%
(12)	TYPE OF REPORTING PERSON (see instructions) OO – limited liability company

CUSIP No. 20600T108 13G Page 11 of 15 Pages

Item 1(a).	Name of Issuer:
	Conatus Pharmaceuticals, Inc.

Item 1(b).	Address of Issuer's Principal Executive Offices:
	16745 West Bernardo Drive, Suite 200 CA 92127

Item 2(a, b, c). Name of Person Filing:

(i) HealthCor Management, L.P., a Delaware limited partnership, Carnegie Hall Tower, 152 West 57th Street, 43rd Floor, New York, New York 10019;

(ii) HealthCor Associates, LLC, a Delaware limited liability company, Carnegie Hall Tower, 152 West 57th Street, 43rd Floor, New York, New York 10019;

(iii) HealthCor Offshore Master Fund, L.P., a Cayman Islands limited partnership, Carnegie Hall Tower, 152 West 57th Street, 43rd Floor, New York, New York 10019;

(iv) HealthCor Offshore GP, LLC, a Delaware limited liability company, Carnegie Hall Tower, 152 West 57th Street, 43rd Floor, New York, New York 10019;

(v) HealthCor Group, LLC, a Delaware limited liability company, Carnegie Hall Tower, 152 West 57th Street, 43rd Floor, New York, New York 10019;

(vi) Joseph Healey, Carnegie Hall Tower, 152 West 57th Street, 43rd Floor, New York, New York 10019;

(vii) Arthur Cohen, 12 South Main Street, #203 Norwalk, Ct 06854;

(viii) HealthCor Long Offshore Master Fund, L.P., a Cayman Islands limited partnership, Carnegie Hall Tower, 152 West 57th Street, 43rd Floor, New York, New York 10019; and

(ix) HealthCor Long Master GP, LLC., a Delaware limited liability company, Carnegie Hall Tower, 152 West 57th Street, 43rd Floor, New York, New York 10019.

Both Mr. Healey and Mr. Cohen are United States citizens.

The persons at (i) through (xi) above are collectively referred to herein as the "Reporting Persons".

CUSIP No. 20600T108 13G Page 12 of 15 Pages

Item 2(d). Title of Class of Securities: Common Stock, $.001 Par Value Per Share (the "Common Stock")

Item 2(e). CUSIP Number:  20600T108

Item 3. Not applicable.

Item 4. Ownership.

The information required by Items 4(a) - (c) is set forth in Rows 5 - 11 of the cover page for each Reporting Person hereto and is incorporated herein by reference for each such Reporting Person.

Collectively, HealthCor Offshore Master Fund, L.P. and HealthCor Long Offshore Master Fund, L.P. (each a "Fund" and together, the "Funds") are the beneficial owners of a total of 1,001,458 shares of the Common Stock of the Issuer.  

HealthCor Offshore GP, LLC is the general partner of HealthCor Offshore Master Fund, L.P. Accordingly, HealthCor Offshore GP, LLC may be deemed to beneficially own the shares of Common Stock that are beneficially owned by HealthCor Offshore Master Fund, L.P. HealthCor Group, LLC is the general partner of HealthCor Offshore GP, LLC and, therefore, may be deemed to beneficially own the shares of Common Stock that are beneficially owned by HealthCor Offshore Master Fund, L.P.

HealthCor Long Master GP, LLC is the general partner of HealthCor Long Offshore Master Fund, L.P. Accordingly, HealthCor Long Master GP, LLC may be deemed to beneficially own the shares of Common Stock that are beneficially owned by HealthCor Long Offshore Master Fund, L.P. HealthCor Group, LLC is the general partner of HealthCor Long Master GP, LLC and, therefore, may be deemed to beneficially own the shares of Common Stock that are beneficially owned by HealthCor Long Offshore Master Fund, L.P.  

By virtue of its position as the investment manager of the Funds, HealthCor Management, L.P. may be deemed a beneficial owner of all the shares of Common Stock owned by the Funds. HealthCor Associates, LLC is the general partner of HealthCor Management, L.P. and thus may also be deemed to beneficially own the shares of Common Stock that are beneficially owned by the Funds.

CUSIP No. 20600T108 13G Page 13 of 15 Pages

As the Managers of HealthCor Associates, LLC, Arthur Cohen and Joseph Healey exercise both voting and investment power with respect to the shares of Common Stock reported herein, and therefore each may be deemed a beneficial owner of such Common Stock.

Each of the Reporting Persons hereby disclaims any beneficial ownership of any such shares of Common Stock in excess of their actual pecuniary interest therein.

Item 5.	Ownership of Five Percent or Less of a Class:
	If this statement is being filed to report the fact that as of the date hereof the reporting person has ceased to be the beneficial owner of more than five percent of the class of securities, check the following ¨.

Item 6.	Ownership of More than Five Percent on Behalf of Another Person.
	Not Applicable
Item 7.	Identification and Classification of the Subsidiary Which Acquired the Security Being Reported on by the Parent Holding Company.
	Not Applicable
Item 8.	Identification and Classification of Members of the Group.
	See Exhibit 1.
Item 9.	Notice of Dissolution of Group.
	Not Applicable

Item 10. Certification.

By signing below I certify that, to the best of my knowledge and belief, the securities referred to above were not acquired and are not held for the purpose of or with the effect of changing or influencing the control of the issuer of the securities and were not acquired and are not held in connection with or as a participant in any transaction having that purpose or effect.

Exhibits:

Exhibit I: Joint Acquisition Statement, dated as of April 15, 2015.

CUSIP No. 20600T108 13G Page 14 of 15 Pages

SIGNATURE

After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct.

DATED: April 15, 2015

HEALTHCOR MANAGEMENT, L.P.
	By: HealthCor Associates, LLC, its general partner
	By: /s/ Anabelle P. Gray
	Name: Anabelle P. Gray
	Title: General Counsel

HEALTHCOR OFFSHORE GP, LLC, for itself and as general partner of behalf of HEALTHCOR OFFSHORE MASTER FUND, L.P.
	By: HealthCor Group, LLC, its general partner
	By: /s/ Anabelle P. Gray
	Name:  Anabelle P. Gray
	Title:  General Counsel

CUSIP No. 20600T108 13G Page 15 of 15 Pages

HEALTHCOR LONG MASTER GP, LLC, for itself and as general partner of behalf of HEALTHCOR LONG OFFSHORE MASTER FUND, L.P.
	By: HealthCor Group, LLC, its general partner
	By: /s/ Anabelle P. Gray
	Name:  Anabelle P. Gray
	Title:  General Counsel
HEALTHCOR ASSOCIATES, LLC
	By: /s/ Anabelle P. Gray
	Name: Anabelle P. Gray
	Title: General Counsel
HEALTHCOR GROUP, LLC
	By: /s/ Anabelle P. Gray
	Name: Anabelle P. Gray
	Title: General Counsel
JOSEPH HEALEY, Individually
	/s/ Joseph Healey
ARTHUR COHEN, Individually
	/s/ Arthur Cohen

EX-99.1

EXHIBIT 1

JOINT ACQUISITION STATEMENT PURSUANT TO RULE 13d-1(k)

The undersigned acknowledge and agree that the foregoing statement on Schedule 13G is filed on behalf of each of the undersigned and that all subsequent amendments to this statement on Schedule 13G shall be filed on behalf of each of the undersigned without the necessity of filing additional joint acquisition statements. The undersigned acknowledge that each shall be responsible for the timely filing of such amendments, and for the completeness and accuracy of the information concerning him or it contained therein, but shall not be responsible for the completeness and accuracy of the information concerning the others, except to the extent that he or it knows or has reason to believe that such information is inaccurate.

Dated:  April 15, 2015

HEALTHCOR MANAGEMENT, L.P.
	By: HealthCor Associates, LLC, its general partner
	By: /s/ Anabelle P. Gray
	Name: Anabelle P. Gray
	Title: General Counsel

HEALTHCOR OFFSHORE GP, LLC, for itself and as general partner of behalf of HEALTHCOR OFFSHORE MASTER FUND, L.P.
	By: HealthCor Group, LLC, its general partner
	By: /s/ Anabelle P. Gray
	Name:  Anabelle P. Gray
	Title:  General Counsel

HEALTHCOR LONG MASTER GP, LLC, for itself and as general partner of behalf of HEALTHCOR LONG OFFSHORE MASTER FUND, L.P.
	By: HealthCor Group, LLC, its general partner
	By: /s/ Anabelle P. Gray
	Name:  Anabelle P. Gray
	Title:  General Counsel
HEALTHCOR ASSOCIATES, LLC
	By: /s/ Anabelle P. Gray
	Name: Anabelle P. Gray
	Title: General Counsel
HEALTHCOR GROUP, LLC
	By: /s/ Anabelle P. Gray
	Name: Anabelle P. Gray
	Title: General Counsel
JOSEPH HEALEY, Individually
	/s/ Joseph Healey
ARTHUR COHEN, Individually
	/s/ Arthur Cohen