Richard Bertram

Distinguished Research Professor
Tam Family Professor, Department of Mathematics
Graduate Faculty Member, Institute of Molecular Biophysics
Graduate Faculty Member, Program in Neuroscience
Florida State University

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Current Research Interests

Activity of Pancreatic Beta-Cells

Pancreatic Beta-cells are located in islets of Langerhans in the pancreas and are the only cells in the body that secrete insulin, a hormone that is necessary for the uptake of glucose by other cells. Defects in beta-cell functioning lead to diabetes, which can result in death if not treated. The release of insulin is controlled by many physiological variables, including the cell's electrical activity, calcium, and nucleotide concentrations. I work in the development and analysis of mathematical models of beta-cell activity as well as potential methods for islet syncrhonization.

Hypothalamic Control of Hormone Secretion

The hypothalamus is the region of the brain that regulates the level and timing of hormone release from endocrine glands. One such gland, the pituitary, is located near the hypothalamus, and secretions from this gland regulate secretions from other glands. For this reason, the pituitary is sometimes called the "master gland". The hypothalamus sends both stimulatory and inhibitory input to the pituitary, resulting in neural regulation of secretion from gonadotrophs, somatotrophs, corticotrophs, melanotrophs, and lactotrophs. I develop mathematical models of pituitary cells, and work with collaborators to test model predictions and design new experiments.

Bursting Oscillations in Excitable Cells

In nerve cells, information is transmitted through electrical impulses. Electrical impulses also cause muscles to contract and endocrine cells to secrete hormones. Quite often, impulses are generated as high-frequency bursts, followed by periods of quiescence. This is particularly true in endocrine cells such as pancreatic beta-cells and pituitary cells. I am interested both in the dynamics of bursting (a mathematical topic) and in the mechanisms by which different cells generate periodic bursts of impulses (a biological topic). Our work on bursting analysis received a 2017 SIAM Outstanding Paper Prize: Award Information

Neural Network Controlling Bird Songs

Song birds have a dedicated region of the brain to produce songs. We are studying the neural mechanisms through which the song is produced in the male zebra finch, which is a good paradigm for the learning of sequential behavior (like reciting the alphabet). It also has some parralels with the learning of human speach production. We study neural electrical activity, and features of the song that is produced. We are also developing computational models for the neural activity and connectivity that can produce the sequential behavior that results in the stereotyped song of the male zebra finch. Here are links to videos that the birdsong group recently made: Team Collaboration , Math Modeling, Statistical Analysis. We have developed a web site for this project, at Birdsong Webpage.

Cardiac Early Afterdepolarizations

Cardiac cells, called cardiomyocytes, typically produce long action potentials when stimulated. These result in contraction of the myocyte, and the coordinated contraction of these cells is the mechanism for the pumping of blood through the heart. Early afterdepolarizations (EADs) are one type of pathological arrhythmia that can result in suddent death. EADs are small oscillations that occur either during the depolarized phase of the action potential, or during the falling or repolarizing phase. In either case, the result is a significant lengthening of the action potential. We have identified the mechanism of these EADs dynamically in terms of canards, and study them using fast-slow analysis. Our central research aim is to use this knowledge to understand the various pathological behaviors of cardiomyocytes, and pharmacological manipulations that can induce ore eliminate EADs.


Neural Models
Pancreatic Beta-Cells
Synaptic Transmission
Structural Biology
Hypothalamus and Pituitary
Neural Basis of Birdsong
Bursting Analysis
Cardiac Models
Other Topics

Lab Members

Students and Collaborators

Computer Software

Structural Biology
Hypothalamus and Pituitary
Synaptic Transmission
Pancreatic Islet
Bursting Analysis
Cardiac Models
Other Topics


Workshops and Conferences

Music and Math


Full CV


Prof. Richard Bertram
Department of Mathematics
Florida State University
Tallahassee, Fl 32306

tel.: (850)-644-7195 (math office), (850)-644-7632 (IMB office)