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Biomedical subjects

M Morse

Publications and source records attributed to M Morse.

At least 55 records · Page 3Linked to original sources
PubMed1985

VAB-6 as initial treatment of patients with advanced seminoma.

Thirty patients with advanced seminoma were treated with VAB-6. Eighteen patients were previously untreated, eight had relapsed after radiation therapy, and four had persistent disease following chemotherapy and radiation therapy. Two patients had received prior high-dose cisplatin. Twenty-four (86%) of 28 evaluable patients achieved a complete remission. Four patients had relapsed. The median disease-free follow-up of patients achieving complete remission was 32+ months. VAB-6 is effective treatment for patients with advanced seminoma, and chemotherapy is recommended as the initial therapy in all patients with stage II seminoma with disease larger than 5 cm, extragonadal seminoma, and stage III seminoma.

Adult↗
PubMed1985

Interstitial radiation: short-term palliation or curative therapy?

The management of clinically localized prostatic cancer by interstitial implantation of 125I seeds has been under exploration at Memorial Sloan-Kettering Cancer Center for thirteen years. This investigation was prompted by clinical evidence of the radioresponsiveness of some prostatic cancers, the limited applicability of surgical excision, and the possibility that interstitial therapy would have less of an adverse effect on the quality of life than would alternative treatments. Cumulative experience indicates that the technique is associated with low morbidity and mortality and high functional preservation rates; local control rates (routine biopsies were not done), within the constraints of still-limited follow-up intervals, are in the 80 per cent to 90 per cent range; and actuarial survival rates at nine years (including patients who received endocrine therapy for metastatic or intractable local disease) are approximately 90 per cent for T1, 60 per cent for T2, and 45 per cent for T3 lesions. Approximate actuarial nine-year survival rates are 80 per cent for all patients with negative nodes and 50 per cent for all patients with positive nodes. Taking into account limitations of the data and the hazards of comparing this therapy with other uncontrolled treatments, 125I appears to be a therapeutic option for the control of clinically localized prostatic cancer.

Actuarial Analysis↗
PubMed1983

A near-death experience in a 7-year-old child.

Near-death experiences occurring to persons who have survived near-terminal events, such as cardiac arrests or profound comas, have been widely reported in the lay literature; however, there is little documentation of such events in the medical literature. These experiences generally have a consistent core of euphoric affect, an out-of-the-body state, encountering a being of light, meeting others (especially dead relatives), and going from a dark tunnel to a world of light. This core remains consistently present despite wide variations in the religious or cultural background of the person. Such an event occurred to a 7-year-old near-drowning victim. Pediatricians should be alerted to the potential need for counseling in children who have survived near-fatal events.

Child↗
PubMed1977

Tubular presentations pi of subsets of manifolds.

In this note the Weierstrass integral J is taken as L, the Riemann integral of length. Here M(n), n > 1, is a compact, connected manifold of class C(infinity) with a positive definite Riemann structure. Presentations (phi, U(phi)) in M(n) and geodesics (with the aid of the Euler-Riemann equations) are defined in Morse, M. (1976) "Global variational analysis: Weierstrass integrals on a Riemannian Manifold," Mathematical Notes (Princeton University Press, Princeton, NJ). Christoffel terminology is not suitable for our purposes. Conjugate points on a geodesic need a definition that does not distinguish between simple and nonsimple geodesics. Tubular presentations pi of an open neighborhood of a geodesic lead to such a definition. These presentations are locally biunique and "compatible" with the earlier biunique presentations in M(n). We shall use a presentation pi in proving Theorem A below. Theorem A is essential in computing the Fréchet numbers of product manifolds as we shall show in a later paper.

Journal Article↗
PubMed1976

Conjugate points on a limiting extremal.

Theorem 1, together with the author's extensions of the Sturmian Comparison Theorems, will suffice to establish the basic Theorem 27.3, p. 211 of Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. Mathematical Notes, Princeton University Press, Princeton, N.J., 1976. Here and in the preceding reference there is given a Weierstrass Integral on a compact, connected, Riemannian manifold M(n), conditioned as in the above reference. Let gamma be an arbitrary extremal of J joining a point P to a point Q, not equal P on M(n). An extremal zeta of J joining A to B is termed nondegenerate if A and B are not conjugate on zeta. The index of zeta is by definition the "count" of conjugate points of A on zeta definitely preceding B.THEOREM 1. When the extremal gamma is nondegenerate, extremals of J issuing from P with the same length as gamma and sufficiently near gamma in the sense of Fréchet, are nondegenerate and have the same index as gamma.

Journal Article↗
PubMed1975

Connectivities R(i) of Fréchet Spaces in Variational Topology.

A global study of geodesics, joining points A(1) [unk] A(2) on a Riemannian manifold N(n), is oriented by the answers given to two questions. How does the concept of a nondegenerate geodesic enter, and what topological invariants best condition the geodesics joining A(1) to A(2)? We answer the first question by defining and exploiting nondegenerate point pairs A(1) [unk] A(2) on N(n). The connectivities R(i) of M(n) used in ordinary critical point theory should be replaced by the connectivities R(i) of the pathwise components of the Fréchet metric space [unk](A(1) ) (A(2) ) defined in this paper. These components are homeomorphic. Their connectivities R(i) condition the geodesics joining A(1) to A(2) on N(n) in a way to be disclosed. Detailed proofs are found in the references listed, or will be presented later.

Journal Article↗
PubMed1973

F-deformations and f-tractions.

Let M(n) be a compact, connected topological manifold and F a continuous mapping of M(n) into R that is "topologically nondegenerate" in the sense of (Morse, M. (1959) J. d'Analyse Math., 7, 189-208). Let c be a value of F and set F(c) = {pinM(n)|F(p) </= c}. The topological critical points of F on F(c) are finite in number and can be related to the invariants of the homology groups of F(c) as in the differentiable case. F-Deformations and F-tractions make this possible. F-Tractions are here defined and replace retracting deformations used in the differentiable case. The final relations will serve as a model for similar relations between critical extremals of Weierstrass integrals on Riemannian manifolds.

Journal Article↗
PubMed1972

Axial Presentations of Regular Arcs on M(n).

THEOREM 1. Let M(n) be a Riemannian manifold of class C(m), m > 0. On M(n) let g be a simple compact, sensed, regular arc whose local coordinates are functions of class C(m) of the algebraic arc length s, measured along g from a prescribed point of g. There then exists a presentation (F: U, X) [unk] [unk]M(n) such that g [unk] X, and each point p(s) of g is represented in the euclidean domain U by coordinates (x(1),...,x(n)) = (s,0,...,0).

Journal Article↗
PubMed1971

Subordinate quadratic forms and their complementary forms.

Theorem 1. For alpha, beta on the range 1,..., mu, let Q(z) = (*)aalphabetazalphazbeta be a real valued, nonsingular, symmetric quadratic form. For positive integers r and s such that mu = r + s set (z(1),..., z(mu)) = (u(1),..., u(r):S(1),..., S(n)), Q(z) = P(u, s) and [Formula: see text] Let B = (z((1)),..., z((r))) be a base "over R" for points z epsilon pi(r). For an arbitrary r-tuple omega(1),..., omega(r) set [Formula: see text] index H(B)(omega) = kappa and nullity H(B)(omega) = nu. Then [Formula: see text].

Journal Article↗
PubMed1971

Model families of quadratic forms.

Let [unk] be the subinterval of R of values sigma </= gamma. Let there be given a family F of real valued symmetric quadratic forms [Formula: see text] in real variables z(1),...,z(mu). If for fixed sigma[unk][unk] a nonnull mu-tuple z is a critical point of Q(sigma), sigma will be called a characteristic root of F. When F satisfies Conditions I, II, and III below, the index of Q(sigma) is the "count" of characteristic roots of F less than sigma.

Journal Article↗
PubMed1970

A setting for a theorem of bott.

Inspired by Theorem A of Raoul Bott,(1) Morse and Cairns(2) have stated Corollary 23.3 below, a theorem of essentially the same character as Theorem A of Bott. The symbol [unk] in Corollary 23.3 means that the sets to the left and right of [unk] have the same homotopy type in the sense of Hilton (ref. 3, p. 3). Corollary 23.3 gives a setting to Bott's theorem in the theory of "bowls" introduced by Morse. The object of this note is to clarify and reinterpret the analysis presented as proof of Corollary 23.3 in reference 2.

Journal Article↗