NJIT_CompNeuro

Mathematical Biology: Physiology and Medicine

Math 371 - Spring 2009

NJIT HONOR CODE:

All Students should be aware that the Department of Mathematical Sciences takes the NJIT Academic Honor Code very seriously and enforces it strictly. This means there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the Honor Code, students are obligated to report any such activities to the Instructor.

Please re-read Article III of the Academic Honor Code, which describes conducts that are considered unacceptable (cheating, violating the US Copyright law, etc).

Instructor: Horacio G. Rotstein

E-mail: horacio at njit edu (preferred)

Tel: (973) 596-5306

Teaching Assistant: Alon Amir

E-mail: alonamir at pegasus rutgers edu (preferred)

Tel: 973 353 3547

Course Description:

Mathematical models of biochemical reactions, electrical properties of cells, cell properties, population dynamics and genetics. The biology is introduced with each topic. Emphasis is on quantitative problem solving, model building and numerical simulation

Textbook:

Modeling and Simulation in Medicine and the Life Sciences (2nd Ed.), by F. C. Hoppensteadt & C. S. Peskin

Reference Books:

Mathematical Physiology, by J. Keener and J. Sneyd, Interdisciplinary Applied Mathematics (Springer, 1998)

Mathematical Models in Biology, by L. Edelstein-Keshet, SIAM Classics in Applied Mathematics 46 (SIAM, 2004).

Mathematics Applied to Deterministic Problems in the Natural Sciences, by C. C. Lin & L. A. Segel, SIAM Classics in Applied Mathematics 1 (SIAM, 1988)

Class meets:

Wed: 6:00 PM - 9:05 PM
KUPF 106

Office hours

H.G.R.: Mon & Tue, 14:30 - 15:30 (or by appointment), Cullimore 614.

A. A.: By appointment

Grading Policy:

Quizzes and Homework ...... 40%
Midterm Exam: ................. 30%
Final Exam: ..................... 30%
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Please note that the University Drop Date March 30, 2009 deadline will be strictly enforced

Homework Policy

A number of assignments will be given out during the semester

Assignments will be collected one week after they are given out, at the beginning of the class it is due.

Late homework will not be accepted.

Only hard copies of the assignments will be accepted (NO electronic submissions)

The source code used in your calculations MUST accompany the submitted homework

Class Policies:

Attendance and Participation:

Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.

Makeup Exam Policy:

There will be no makeup exams, except in rare and extenuating situations where the student has a legitimate reason for missing an exam. The student must notify the NJIT Math office and the Instructor that he/she will miss an exam. In all cases, the student must present written verifiable proof of the reason for missing the exam, e.g., a doctor's note, police report, court notice, etc., clearly stating the date AND times of the mitigating problem.

Cellular Phones:

All cellular phones and beepers must be switched off during class and exam times.

Course Outline:

*Class*	*Date*	*Topic of the Class*	*Material & Homework*	*Lecture Notes*
1	Jan 21	Introduction Chemical Reactions	.	LN-01 LN-02
2	Jan 28	First order Differential Equations (review) How to use XPP	RM	LN-03 LN-04
3	Feb 4	Chemical Reactions (cont) Second Order Differential Equations (review)	HW 1	LN-05
4	Feb 11	Chemical Reactions (Simulations) Singular Perturbation Theory (Introduction)	RM	LN-06
5	Feb 18	Singular Perturbation Theory (Chemical Reactions)	RM	.
6	Feb 25	Singular Perturbation Theory (Chemical Reactions)	HW 2	LN-06
7	Mar 4	Enzimatic Reactions	RM	LN-07
8	Mar 11	Enzimatic Inhibition Review	.	LN-08
--	Mar 18	Spring break	.	.
9	Mar 25	Midterm Exam	.	.
10	Apr 1	Glycolysis and Glycolytic Oscillations Review of Two-Dimensional Dynamical Systems	HW 3	LN-09 LN-10
11	Apr 8	Belousov-Zhabotinsky Reaction	.	LN-11
12	Apr 15	Electrical Properties of Cell Membrane I	HW 4	LN-12
13	Apr 22	Electrical Properties of Cell Membrane II	RM	LN-13
14	Apr 29	Electrical Properties of Cell Membrane III	.	LN-14 LN-15
.	.	Population Dynamics	HW 5	.
--		Final Exam Period	.	.

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Department of Mathematical Sciences(DMS).
New Jersey Institute of Technology (NJIT).

Horacio
Last modified: Wed May 13 05:10:41 EDT 2009