PUBLICATIONS IN:

MATHEMATICS

BIOMATHEMATICS,  BIOLOGY, MEDICINE

 

Mathematics

 

Farhy, L.S., Properties of phase functions and broken rays outside one convex and one nonconvex bodies, Compt. rend. Acad. bulg. Sc., 12, 1989, 33-35.

Farhy, L.S., Asymptotic of solutions of the wave equations outside trapping bodies and poles of the scattering matrix, Ph.D. Thesis, Sofia University, 1990.

Farhy, L.S., On the poles of the scattering matrix for one convex and none nonconvex bodies, Compt. rend. Acad. bulg. Sc., 4, 1990, 23-26.

Farhy, L.S., On the asymptotic behavior of solutions of the exterior boundary valued acoustic problem outside trapping obstacles, Compt. rend. Acad. bulg. Sc., 9, 1990, 25-27.

Farhy, L.S., Poles of the scattering matrix generated by a trapped periodic ray with two eigenvalues of the Poincare mapping equal to one and two different from one, Compt. rend. Acad. bulg. Sc., 2, 1991, 13-16.

Farhy, L.S., Asymptotic behavior of solutions of the wave equation outside trapping obstacles, Proc. of the School on Qualitative Aspects and Appl. of Nonlinear Evolution Equations, World Sci. Publ. Company, Singapore, 1991.

Farhy, L.S., Poles of the scattering matrix for one convex and one non convex bodies, J. Operator Theory, 25, 1991, 367-381.

Farhy, L.S., Distribution near the real axis of scattering poles generated by a non-hyperbolic periodic ray, Ann. Inst. Henri Poincare, 60, n 3, 1994, 291-302.

Farhy, L.S., Trapping obstacles with non hyperbolic periodic ray, asymptotic behavior of solutions, Math. Z., 217, 1994, 143-165.

Farhy, L.S., Lower bounds on the number of scattering poles under lines parallel to the real axis, Comm. P.D.E., 20 (5,6), 729-740 (1995).

Farhy, L.S., Tsanov, V.V., Scattering poles for connected sums of Euclidean space and Zoll manifolds, Ann. Inst. Henri Poincare, 65, n 2, 1996, 163-174.

 

Biomathematics, Biology, Medicine

 

Kovatchev BP, Farhy LS, Cox DJ, Straume M, Yankov VI,Gonder-Frederick LA and WL Clarke. Modeling Insulin-Glucose Dynamics During Insulin Induced Hypoglycemia. Evaluation of Glucose Counterregulation, J of Theoretical Medicine, 1, 303-323 (1999).

Kovatchev BP, Straume M, Farhy LS, Cox DJ. Dynamic Network Model of Glucose Counterregulation in Subjects with Insulin-Requiring Diabetes. In: Methods in Enzymology, 321: 396-410 (2000). 

Kovatchev BP, Cox DJ, Straume M, Farhy LS. Association of Self-monitoring Blood Glucose Profiles with Glycosylated Hemoglobin. In: Methods in Enzymology, 321: 410-417 (2000).

Kovatchev BP, Straume M, Cox DJ, Farhy LS. Risk analysis of blood glucose data: A quantitative approach to optimizing the control of insulin dependant diabetes. J of Theoretical Medicine 3:1-10 (2001).

Kovatchev BP, Cox DJ, Farhy LS, Straume M, Gonder-Frederick LA, Clarke, WL . Episodes of Severe Hypoglycemia in Type 1 Diabetes are Preceded, and Followed, within 48 Hours by Measurable Disturbances in Blood Glucose. J of Clinical Endocrinology and Metabolism 85: 4287-4292 (2000).

Kovatchev BP, Cox DJ, Straume M, Farhi LS: Estimating the Speed of Blood Glucose Transitions and its Relationship with Severe Hypoglycemia  Diabetes, 48, Supplement 1, A363 (1999).

Farhy LS, Straume M, Johnson M, Kovatchev BP and Veldhuis JD. A construct of interactive feedback control of the GH axis in the male. Am J Physiology 281 (1): R38-R51 (2001).

Moorman JR, Richman JS, Kovatchev BP, Farhi LS, King W, Booth SD, Bissonette EA, Harrell FE, Lake DE, Griffin MP. Multivariable heart rate characteristics analysis of neonatal heart rate time series. BIOPHYSICAL JOURNAL 80 (1): 645A-645A 2911 Part 2 (2001).

Farhy LS, Straume M, Johnson M, Kovatchev BP and Veldhuis JD. Unequal Autonegative Feedback by Growth Hormone (GH) Models the Sexual Dimorphism in GH Secretory Dynamics. Am J Physiology 282: R753-R764 (2002).

Kovatchev BP, Farhy LS, Cao H, Griffin MP, Lake DE, Moorman JR. Sample asymmetry analysis of heart rate characteristics with application to neonatal sepsis and systemic inflammatory response syndrome. Pediatrics Research 54 (6): 892-898 (2003). 

Farhy LS and Veldhuis JD. Joint pituitary-hypothalamic and intrahypothalamic autofeedback construct of pulsatile growth hormone secretion. Am J Physiology,   285: 1240 - 1249 (2003).

Farhy LS and Veldhuis JD. Putative GH Pulse Renewal: Periventricular Somatostatinergic Control of an Arcuate-Nuclear Somatostatin and GH-Releasing Hormone Oscillator. Am J Physiol Regulatory Integrative Comp Physiol, 286: R1030 - R1042 (2004). 

Farhy, LS. Modeling of Oscillations of Endocrine Networks with Feedback. Methods in Enzymology, 384: 54-81 (2004).

Fox CR, Farhy LS, Evans WS, Johnson ML. Measuring the Coupling of Hormone Concentration Time-Series Using Polynomial Transfer Functions. Methods in Enzymology, 384: 82-94 (2004).

Cacia Soares-Welch, Leon Farhy, Kristi L. Mielke, Farid H. Mahmud, John M. Miles, Cyril Y. Bowers, and Johannes D. Veldhuis. Complementary Secretagogue Pairs Unmask Prominent Gender-Related Contrasts in Mechanisms of Growth Hormone Pulse Renewal in Young Adults. J. Clin. Endocrinol. Metab., 90: 2225 - 2232 (2005). 

Johannes D. Veldhuis, Leon Farhy, Arthur L. Weltman, Jonathan Kuipers, Judith Weltman, and Laurie Wideman, Gender Modulates Sequential Suppression and Recovery of Pulsatile Growth Hormone Secretion by Physiological Feedback Signals in Young Adults. J. Clin. Endocrinol. Metab.,  90: 2874 - 2881 (2005).

Dana Erickson, Daniel M. Keenan, Leon Farhy, Kristi Mielke, Cyril Y. Bowers, and Johannes D. Veldhuis. Determinants of Dual Secretagogue Drive of Burst-Like Growth Hormone Secretion in Premenopausal Women Studied under a Selective Estradiol Clamp. J. Clin. Endocrinol. Metab., 90: 1741 - 1751 (2005).

Leon S. Farhy and Johannes D. Veldhuis. Deterministic construct of amplifying actions of ghrelin on pulsatile growth hormone secretion. Am J Physiol Regulatory Integrative Comp Physiol,  288: R1649 - R1663 (2005).

 

 

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