Document:

Exhibit 10.4

                                Lock-Up Agreement

North American Scientific, Inc.
20200 Sunburst Avenue
Chatworth, California

Re:   NOMOS Corporation

Ladies and Gentlemen:

      The undersigned is an owner of record of certain shares of capital stock
of NOMOS Corporation, a Delaware corporation (the "Company"), or securities
convertible into or exercisable for shares of capital stock of the Company
("Company Capital Stock"). North American Scientific, Inc., a Delaware
corporation (the "Acquiror"), and the Company are parties to an Agreement and
Plan of Merger, dated as of October 26, 2003 (as amended from time to time, the
"Merger Agreement"), pursuant to which the shares of Company Capital Stock held
by the undersigned are to be converted into the right to receive, as
consideration or a portion of the consideration for such shares of Company
Capital Stock, shares of common stock, par value $0.01 per share, of the
Acquiror (the "Acquiror Common Stock"), in accordance with the terms of the
Merger Agreement. Capitalized terms that are used but not defined in this
Agreement are used herein as defined in the Merger Agreement.

      In connection with and in consideration of the foregoing, the undersigned
hereby agrees that the undersigned will not offer to sell, contract to sell, or
sell, dispose of, loan, pledge or grant any rights with respect to any shares of
Acquiror Common Stock (any such transaction or action being referred to herein
as a "Disposition") acquired in connection with the transactions contemplated by
the Merger Agreement or any options or warrants to purchase any shares of
Acquiror Common Stock acquired in connection with the transactions contemplated
by the Merger Agreement (collectively, "Securities") without the prior written
consent of Acquiror, for a period commencing on the Closing Date and continuing
until the date that is 545 days after the Closing Date (the "Lock-Up Period");
provided, that, the undersigned may engage in any Disposition with respect to
any Securities held by the undersigned which have been registered under the
Securities Act of 1933, as amended, pursuant to that certain Registration Rights
Agreement by and among the Acquiror and the other parties thereto.

      In addition, the undersigned expressly agrees that the undersigned may
not, during the Lock-Up Period, engage in any hedging or other transaction which
is designed to or could reasonably be expected to lead to or result in a
Disposition of Securities, irrespective of whether such Securities would be
disposed of by someone other than the undersigned. Such prohibited hedging or
other transaction would include, without limitation, any short sale (whether or
not against the box) or any purchase, sale or grant of any right (including,
without limitation, any put or call option) with respect to any Securities or
with respect to any security (other than a broad-based market basket or index)
that included, relates to or derives any significant part of its value from
Securities.

<PAGE>

      Notwithstanding anything contain in the foregoing to the contrary, the
undersigned may sell, contract to sell, or sell, dispose of, or otherwise
transfer for value or otherwise, the Securities (i) as a bona fide gift or
gifts, provided that the donee or donees thereof agree to be bound by the
restrictions set forth herein or (ii) to members of the undersigned's immediate
family or to any trust for the direct or indirect benefit of the undersigned or
the immediate family of the undersigned, provided that the transferees thereof
agree to be bound by the restrictions set forth herein. For purposes of this
Lock-Up Agreement, "immediate family" shall mean (i) the undersigned; (ii) any
spouse, lineal descendant or antecedent, father, mother, brother or sister of
the undersigned and (iii) any estate, trust, guardianship, custodianship or
other fiduciary arrangement for the primary benefit of any one or more
individuals named or described in (i) and (ii) above.

      The undersigned also agrees and consents to the entry of stop transfer
instructions with the Acquiror's transfer agent and registrar against the
transfer of shares of Acquiror Common Stock or other Securities acquired in
connection with the transactions contemplated by the Merger Agreement held by
the undersigned except in compliance with the foregoing restrictions. Acquiror,
acting alone and in its sole discretion, may waive any provisions of this
Lock-Up Agreement without notice to any third party.

      This Lock-Up Agreement is irrevocable and will be binding on the
undersigned and the respective successors, heirs, personal representatives and
assigns of the undersigned.

      This Lock-Up Agreement shall automatically terminate on the earlier of (i)
the expiration of the Lock-Up Period or (ii) such time as the Merger Agreement
is terminated in accordance with its terms.

                                        Very truly yours,

                                        /s/ John A. Friede
                                        ----------------------------------------
                                        John A. FriedeExhibit 10.5

                                Affiliate Letter

April 22, 2004

North American Scientific, Inc.
20200 Sunburst Avenue
Chatsworth, California 91311

Ladies and Gentlemen:

      The undersigned has been advised that, as of the date of this letter
agreement, the undersigned may be deemed to be an "affiliate" of NOMOS
Corporation, a Delaware corporation (the "Company"), as the term "affiliate" is
defined for purposes of paragraphs (c) and (d) of Rule 145 of the Rules and
Regulations (the "Rules and Regulations") of the Securities and Exchange
Commission (the "Commission") promulgated under the Securities Act of 1933, as
amended (the "Securities Act"). Pursuant to the terms of the Agreement and Plan
of Merger, dated as of October 26, 2003 (as amended from time to time, the
"Merger Agreement"), among the Company, North American Scientific, Inc., a
Delaware corporation ("Acquiror") and AM Capital I, Inc., a Delaware corporation
and wholly owned subsidiary of Acquiror ("Merger Sub"), the Company will merge
with and into the Merger Sub (the "Merger"). All capitalized terms used but not
defined herein shall be used herein as defined in the Merger Agreement.

      As a result of the Merger, the undersigned will receive Common Stock, par
value $0.01 per share, of Acquiror (the "Acquiror Common Stock") in exchange for
the undersigned's shares of Common Stock, par value $0.0001 per share, of the
Company (the "Company Common Stock"), Series A Preferred Stock, par value
$0.0001 per share, of the Company, Series B Preferred Stock, par value $0.0001
per share, of the Company and Series C Preferred Stock, par value $0.0001 per
share, of the Company (the Series A Preferred Stock, Series B Preferred Stock
and Series C Preferred Stock of the Company referred to herein, collectively, as
the "Company Preferred Stock"). In connection therewith, the undersigned
represents, warrants and covenants to Acquiror as follows:

      1. The undersigned will not make any sale, transfer, encumbrance, pledge
or other disposition of any Acquiror Common Stock the undersigned receives in
the Merger in violation of the Securities Act, the Rules and Regulations or the
terms of this letter agreement.

      2. The undersigned has carefully read this letter agreement and the Merger
Agreement and discussed with counsel, to the extent the undersigned felt
necessary, the requirements of this letter agreement and the Merger Agreement
and other applicable limitations upon the undersigned's ability to sell,
transfer, encumber, pledge or otherwise dispose of the Acquiror Common Stock.

      3. The undersigned has been advised that the issuance of Acquiror Common
Stock to the undersigned in connection with the Merger will be registered with
the Commission pursuant to an effective registration statement on Form S-4. The
undersigned has also been advised that, because the undersigned may be deemed to
be an affiliate of the Company at the

<PAGE>

time the Merger is submitted for a vote of the stockholders of the Company, the
undersigned may not sell, transfer, encumber, pledge or otherwise dispose of any
Acquiror Common Stock issued to the undersigned pursuant to the Merger unless
(i) such sale, transfer or other disposition has been registered under the
Securities Act, (ii) such sale, transfer or other disposition is made in
conformity with Rule 145 under the Securities Act, (iii) in the written opinion
of counsel reasonably acceptable to Acquiror, such sale, transfer or other
disposition is exempt from registration under the Securities Act, (iv) such
sale, transfer or other disposition is made to a trust that is an "accredited
investor" as such term is defined in Rule 501 promulgated under the Securities
Act in a transaction that is exempt from registration under the Securities Act
pursuant to the so-called Section 4(1 1/2) exemption or (v) an authorized
representative of the Commission takes a position in writing to the effect that
the Commission would take no action, or that the staff of the Commission would
not recommend that the Commission take action, with respect to such sale,
transfer, encumbrance, pledge or other disposition and a copy of such written
position is delivered to Acquiror.

      4. I also understand that stop transfer instructions may be given to
Acquiror's transfer agent with respect to the Acquiror Common Stock to be issued
to me and that there will be placed on the certificates evidencing the Acquiror
Common Stock to be issued to me (as well as all securities of Acquiror issued as
a stock dividend or distribution and any shares or other securities into which
or for which any or all of the Acquiror Common Stock may be changed or exchanged
in a split-up, recapitalization, combination, exchange of shares or similar
action or transaction) a legend stating in substance:

            "The shares evidenced by this certificate were issued in a
            transaction to which Rule 145 promulgated under the Securities Act
            of 1933, as amended, applies. The shares evidenced by this
            certificate may only be transferred in accordance with the terms of
            a letter agreement, dated March 10, 2004, between the registered
            holder hereof and [Acquiror], a copy of which agreement is on file
            at the principal offices of [Acquiror]."

      The legend set forth above shall be removed (by delivery of a substitute
certificate without such legend) if the affiliate delivers to Acquiror (i)
written evidence satisfactory to Acquiror that the shares will be sold in
compliance with Rule 145 (in which case, the substitute certificate shall be
issued in the name of the transferee) or (ii) an opinion of counsel, in form and
substance reasonably satisfactory to Acquiror, to the effect that public sale of
the shares by the holder thereof is no longer subject to Rule 145 and is exempt
from registration under the Securities Act.

      5. This letter agreement shall be terminated, and be of no further force
and effect, automatically upon the termination of the Merger Agreement if the
Merger Agreement terminates without the Merger becoming effective.

<PAGE>

      The undersigned's execution of this letter agreement should not be
considered to be an admission on the undersigned's part that the undersigned is
an "affiliate" of the Company as described in the first paragraph of this letter
agreement or to be a waiver of any rights the undersigned may have to object to
any claim that the undersigned is such an affiliate on or after the date of this
letter agreement.

                                        Very truly yours,

                                        /s/ John A. Friede
                                        ----------------------------------------
                                        John A. Friede

Agreed to and accepted this

4th day of May, 2004

NORTH AMERICAN SCIENTIFIC, INC.

By: /s/ L. Michael Cutrer
    --------------------------------------------
    Name: L. Michael Cutrer
    Title: President and Chief Executive Officer

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