Year 
Title 

2017

An Example of Nature’s Mathematics: The Rainbow.
The Virginia Mathematics Teacher.
1219.

2017

Mountain shadows revisited.
Applied Optics.
G26G35.

2016

Evaluation of Ray  Path Integrals in Geometrical Optics.
Int'l Journal of Applied and Experimental Mathematics.
7.

2015

Scattering of a plane electromagnetic wave by a generalized Luneburg sphere–Part 1: Ray scattering.
Journal of Quantitative Spectroscopy and Radiative Transfer.
154163.

2015

Scattering of a plane electromagnetic wave by a generalized Luneburg sphere–Part 2: Wave scattering and timedomain scattering.
Journal of Quantitative Spectroscopy and Radiative Transfer.
164174.

2014

Scalar wave scattering by twolayer radial inhomogeneities.
Applied Mathematics ENotes.
185192.

2013

Electromagnetic and Potential Scattering from a Radially Inhomogeneous Sphere

2011

Zeroorder bows in radially inhomogeneous spheres: direct and inverse problems.
Applied Optics.
F50F59.

2009

A twopopulation insurgency in Colombia: Quasipredatorprey models  A trend towards simplicity.
Mathematical & Computer Modeling.
11151126.

2008

Geometric optics and rainbows: generalization of a result by Huygens.
Applied Optics.
H11H13.

2008

Rainbow, geometrical optics, and a generalization of a result of Huygens.
Applied Optics.
H11H13.

2007

On rainbows from inhomogeneous transparent spheres: A raytheoretic approach.
Applied Optics.
922929.

2007

Rainbows from inhomogeneous transparent spheres: a raytheoretic approach.
Applied Optics.
922929.

2006

A simplified model for growth factor induced healing of circular wounds.
Mathematical & Computer Modeling.
887898.

2005

Flowers of Ice?Beauty, Symmetry, and Complexity: A Review of The Snowflake: Winter?s Secret Beauty.
Notices Amer. Math. Soc.
402416.

2005

Mathematics in nature. modeling patterns in the natural world.
The Mathematical Intelligencer.
8182.

2004

Inside mathematical modeling: building models in the context of wound healing in bone.
Discrete and Continuous Dynamical Systems Series B.
124.

2003

Mathematical models of tumors and their remote metastases..
Kluwer Academic/Plenum Publishers.

2002

Healing times for circular wounds on plane and spherical bone surfaces.
Applied mathematics letters.
5558.

2002

Like a Bridge over Colored Water: A Mathematical Review of The Rainbow Bridge: Rainbows in Art, Myth, and Science.
Notices of the AMS.

2002

Mathematical models of tumors and their remote metastases..
Kluwer Press.

2002

The effect of surface curvature on wound healing in bone.
Applied mathematics letters.
5962.

2002

The effect of surface curvature on wound healing in bone: II. The critical size defect.
Mathematical and Computer Modelling.
10851094.

2002

The mathematical physics of rainbows and glories.
Physics Reports.
229365.

1999

A simplified model of wound healing (with particular reference to the critical size defect).
Mathematical and Computer Modelling.
2332.

1999

A simplified model of wound healing II: The critical size defect in two dimensions.
Mathematical and Computer Modelling.
4760.

1999

Postsurgical passive response of local environment to primary tumor removal II: Heterogeneous model.
Mathematical Models and Methods in Applied Sciences.
617626.

1998

(A note on) 2 the shape of the erythrocyte.
Mathematical and Computer Modelling.
7377.

1998

The Pekeris Waveguide: A Case Study in Classical Applied Mathematics.
Mathematical Models and Methods in Applied Sciences.
157186.

1997

Limiting spheroid size as a function of growth factor source location.
Applied mathematics letters.
4346.

1997

Postsurgical passive response of local environment to primary tumor removal.
Mathematical and Computer Modelling.
717.

1997

Scattering from stellar acousticgravity potentials: II. Phase shifts via the first Born approximation.
Applied mathematics letters.
3942.

1996

Effects of vascularization on lymphocyte/tumor cell dynamics: Qualitative features.
Mathematical and Computer Modelling.
110.

1996

Mathematical Models of Spheroid Growth and CatastropheTheoretic Description of Rapid Metastatic Growth/Remission.
Invasion & metastasis.
247267.

1996

NSpace, Dimensional Interface Phenomena and an Adventure in Flatland.
Hyper space.
10.

1995

A mathematical model of cyclespecific chemotherapy.
Mathematical and Computer Modelling.
6782.

1995

A simple mathematical model and alternative paradigm for certain chemotherapeutic regimens.
Mathematical and Computer Modelling.
4960.

1995

Educated Guesses. Quantum.
Journal of Mathematics and Science.

1994

Nonradial stellar oscillations: a perspective from potential scattering (I).
Astrophysics and Space Science.
179233.

1993

Equilibrium model of a vascularized spherical carcinoma with central necrosis?Some properties of the solution.
Journal of mathematical biology.
735745.

1993

Propagation of magnetoacousticgravity waves in a horizontallystratified medium: IV. kinematics.
Astrophysics and Space Science.
259271.

1993

Scattering parameters for an Epstein profile in a halfspace.
Applied mathematics letters.
1315.

1993

The dynamics of growthfactormodified immune response to cancer growth: One dimensional models.
Mathematical and Computer Modelling.
83106.

1993

The scattering potential for a polytrope of degree 5.
Applied mathematics letters.
911.

1992

Solution uniqueness and stability criteria for a model of growth factor production.
Applied mathematics letters.
8992.

1991

Activator–Inhibitor Control of Tissue Growth.
SIAM Review.
462466.

1991

Diffusion models of prevascular and vascular tumor growth. A review.
Lect. Notes Pure Appl. Math.
625.

1991

Self Activation and Inhibition: Simple Nonlinear Model.
Applied mathematics letters.
85 87.

1991

Selfactivation and inhibition: The effect of a zeroflux boundary.
Applied mathematics letters.
4547.

1990

A generalisation of a solvable model in population dynamics.
Journal of Physics A: Mathematical and General.
L727S.

1990

An initial value problem for magnetoatmospheric waves: I. Theory.
Wave Motion.
385399.

1990

Diffusion regulated growth characteristics of a spherical prevascular carcinoma.
Bulletin of Mathematical Biology.
549582.

1990

Mathematical model of prevascular growth of a spherical carcinoma.
Mathematical and Computer Modelling.
2338.

1990

Note on a diffusion model of tissue growth.
Applied mathematics letters.
2731.

1989

A Mathematical Model of Tumor Growth. IV. Effects of a Necrotic Core.
Mathematical Biosci.
121 136.

1989

A nonlinear eigenvalue problem in astrophysical magnetohydrodynamics: Some properties of the spectrum.
Journal of mathematical physics.
744756.

1989

Mathematical computer and modelling reports.
Mathematical and Computer Modelling: An International Journal.
911.

1989

Note on a class of nonlinear time independent diffusion equations.
Applied mathematics letters.
141145.

1989

Some results on the spectrum of a magnetoatmospheric wave operator.
Applied mathematics letters.
1114.

1988

A mathematical model of tumor growth by diffusion.
Mathematical and Computer Modelling.
455456.

1988

Complementary levels of description in applied mathematics. III. Equilibrium models of cities.
Math. Comput. Modelling.
321 339.

1988

Integral invariants and complex eigenvalue bounds.
Applied mathematics letters.
203206.

1988

On Liouville’s equation and its occurrence in mathematical astrophysics.
International Journal of Mathematical Education in Science and Technology.
881890.

1988

On complementary levels of description in applied mathematics II. Mathematical models in cancer biology.
International Journal of Mathematical Education in Science and Technology.
519535.

1987

A linear scattering problem in magnetohydrodynamics: Transmission resonances in a magnetic slab.
Astrophysics and Space Science.
317337.

1987

A mathematical model of tumor growth. II. Effects of geometry and spatial nonuniformity on stability.
Mathematical Biosciences.
183211.

1987

A mathematical model of tumor growth: III. Comparison with experiment.
Mathematical Biosciences.
213 227.

1986

A simplified mathematical model of tumor growth.
Mathematical Biosciences.
229244.

1986

Critical layer singularities and complex eigenvalues in some differential equations of mathematical physics.
Physics Reports.
263356.

1986

Initialvalue problem for the 1D wave equation in an inhomogeneous medium.
Institute of Plasma Physics, Czechoslovak Academy of Sciences, Report IPPCZ268.

1986

Spectral theory and stability in astrophysics. I. Ideal MHD.
Astrophysics and Space Science.
163178.

1986

Spectral theory and stability in astrophysics. II. Rotating stars.
Astrophysics and Space Science.
309 320.

1985

On the spectrum of some singular equations in magnetohydrodynamics.
Astrophysics and Space Science.
249258.

1984

Magnetoatmospheric waves from a localized source.
Astrophysics and Space Science.
125150.

1984

On complementary levels of description in applied mathematics.
International Journal of Mathematical Education in Science and Technology.
667673.

1984

Some mathematical aspects of wave motion.
International Journal of Mathematical Education in Science and Technology.
719725.

1984

The critical layers and other singular regions in ideal hydrodynamics and magnetohydrodynamics.
Astrophysics and Space Science.
401412.

1983

Complex eigenvalue bounds in magnetoatmospheric shear flow. II.
Geophysical & Astrophysical Fluid Dynamics.
5767.

1983

On photospheric and chromospheric penumbral waves.
Solar Physics.
97111.

1982

A note on sigmastability in hydromagnetics.
Astrophysics and Space Science.
115121.

1982

Asymptotic solutions and spectral theory of linear wave equations.
Physics Reports.
217316.

1982

Mathematical methods in linear inviscid hydrodynamic stability theory.
International Journal of Mathematical Education in Science and Technology.
405422.

1981

Mechanical waveenergy fluxin magnetoatmospheres: Discrete and continuous spectra.
Astrophysics and Space Science.
293350.

1980

Eigenvalue bounds in magnetoatmospheric shear flow.
Journal of Physics A: Mathematical and General.
3325.

1980

Maximum growth rate of magnetoatmospheric instabilities. II. A Hilbert space approach.
Journal of Physics A: Mathematical and General.
373.

1980

Some wave reflection problems in solar physics.
Irish Astronomical Journal.
133137.

1979

‘Explosive’ resonant wave interactions in a threelayer fluid flow.
Journal of Fluid Mechanics.
1533.

1978

Evolution in space and time of resonant wave triads  I. The \textquoterightpumpwave approximation\textquoteright.
Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences.
243.

1978

Magnetohydrodynamic waveenergy flux in a stratified compressible atmosphere with shear.
The Quarterly Journal of Mechanics and Applied Mathematics.
7798.

1978

Stability of aligned magnetoatmospheric flow.
Journal of plasma physics.
7786.

1977

Hydrodynamic instability of convectively unstable atmospheres in shear flow.
Astrophysics and Space Science.
493514.

1977

Maximum growth rates of magnetoatmospheric instabilities.
Astrophysics and Space Science.
L5L7.

1977

On the occurrence of critical levels in solar magnetohydrodynamics.
Solar Physics.
293307.

1977

Solar magnetoatmospheric wavesA simplified mathematical treatment.
Astronomy and Astrophysics.
171179.

1977

Solutions of the inhomogeneous acousticgravity wave equation.
Journal of Physics A: Mathematical and General.
L169.

1976

Alfven wave reflection at a density transition region.
Journal of Physics A: Mathematical and General.
L193.

1975

Steady magnetogravity flow.
The Quarterly Journal of Mechanics and Applied Mathematics.
397403.

1975

Viscous damping of nonlinear magnetoacoustic waves.
Astrophysics and Space Science.
479487.
