**Exhibit      31 **

**CERTIFICATION      OF PRINCIPAL EXECUTIVE OFFICER **

| 1. | I                have reviewed this quarterly report on Form 10-Q of Transgenomic,                Inc.                (the Registrant); |
|----|-----------------------------------------------------------------------------------------------------------------------------------------|

| 2. | Based                on my knowledge, this quarterly report does not contain any untrue                statement of a material fact or omit to state a material fact necessary                to                make the statements made, in light of the circumstances under which                such                statements were made, not misleading with respect to the period covered                by                this quarterly report; |
|----|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

| 3. | Based                on my knowledge, the financial statements, and other financial information                included in this quarterly report, fairly present in all material                respects                the financial condition, results of operations and cash flows of                the                registrant as of, and for, the periods presented in this quarterly                report; |
|----|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

| 4. | The                Registrant’s other certifying officer and I are responsible for                establishing and maintaining disclosure controls and procedures (as                defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) for the Registrant                and we have: |
|----|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | a) | Designed                such disclosure controls and procedures, or caused such disclosure                controls and procedures to be designed under our supervision, to                ensure                that material information relating to the Registrant, including its                consolidated subsidiaries, is made known to us by others within those                entities, particularly during the period in which this quarterly                report is                being prepared; |
|--|----|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | b) | Evaluated                the effectiveness of the Registrant’s disclosure controls and procedures                and presented in this report our conclusions about the effectiveness                of                the disclosure controls and procedures, as of the end of the period                covered by this report based on such evaluation; and |
|--|----|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | c) | Disclosed                in this report any change in the Registrant’s internal control over                financial reporting that occurred during the Registrant’s most recent                fiscal quarter (the Registrant’s fourth fiscal quarter in the case of an                annual report) that has materially affected, or is reasonably likely                to                materially affect, the Registrant’s internal control over financial                reporting; and |
|--|----|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

| 5. | The                Registrant’s other certifying officer and I have disclosed, based on our                most recent evaluation, to the Registrant’s auditors and the audit                committee of the Registrant’s board of directors (or persons performing                the equivalent function): |
|----|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | a) | All                significant deficiencies and material weaknesses in the design or                operation of internal control over financial reporting which are                reasonably likely to adversely affect the Registrant’s ability to record,                process, summarize and report financial data and have identified                for the                Registrant’s auditors any material weaknesses in internal controls; and |
|--|----|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | b) | Any                fraud, whether or not material, that involves management or other                employees who have a significant role in the Registrant’s internal control                over financial reporting. |
|--|----|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|                                     | /s/                  CRAIG J. TUTTLE                     |
|------------------------------------------|----------------------------------------------------------|
|                                     | Craig                  J. Tuttle                         |
|                                     | *President                  and Chief Executive Officer* |
|                                     |                                                     |
| Date:                  November 14, 2007 |

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**Exhibit        31**

**CERTIFICATION        OF PRINCIPAL FINANCIAL OFFICER **

| 1. | I                  have reviewed this quarterly report on Form 10-Q of Transgenomic,                  Inc.                  (the Registrant); |
|----|-----------------------------------------------------------------------------------------------------------------------------------------------|

| 2. | Based                  on my knowledge, this quarterly report does not contain any untrue                  statement of a material fact or omit to state a material fact necessary                  to                  make the statements made, in light of the circumstances under which                  such                  statements were made, not misleading with respect to the period                  covered by                  this quarterly report; |
|----|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

| 3. | Based                  on my knowledge, the financial statements, and other financial                  information                  included in this quarterly report, fairly present in all material                  respects                  the financial condition, results of operations and cash flows of                  the                  registrant as of, and for, the periods presented in this quarterly                  report; |
|----|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

| 4. | The                  Registrant’s other certifying officer and I are responsible for                  establishing and maintaining disclosure controls and procedures                  (as                  defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) for the                  Registrant                  and we have: |
|----|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | a) | Designed                  such disclosure controls and procedures, or caused such disclosure                  controls and procedures to be designed under our supervision, to                  ensure                  that material information relating to the Registrant, including                  its                  consolidated subsidiaries, is made known to us by others within                  those                  entities, particularly during the period in which this quarterly                  report is                  being prepared; |
|--|----|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | b) | Evaluated                  the effectiveness of the Registrant’s disclosure controls and procedures                  and presented in this report our conclusions about the effectiveness                  of                  the disclosure controls and procedures, as of the end of the period                  covered by this report based on such evaluation; and |
|--|----|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | c) | Disclosed                  in this report any change in the Registrant’s internal control over                  financial reporting that occurred during the Registrant’s most recent                  fiscal quarter (the Registrant’s fourth fiscal quarter in the case of an                  annual report) that has materially affected, or is reasonably likely                  to                  materially affect, the Registrant’s internal control over financial                  reporting; and |
|--|----|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

| 5. | The                  Registrant’s other certifying officer and I have disclosed, based on our                  most recent evaluation, to the Registrant’s auditors and the audit                  committee of the Registrant’s board of directors (or persons performing                  the equivalent function): |
|----|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | a) | All                  significant deficiencies and material weaknesses in the design                  or                  operation of internal control over financial reporting which are                  reasonably likely to adversely affect the Registrant’s ability to record,                  process, summarize and report financial data and have identified                  for the                  Registrant’s auditors any material weaknesses in internal controls; and |
|--|----|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|  | b) | Any                  fraud, whether or not material, that involves management or other                  employees who have a significant role in the Registrant’s internal control                  over financial reporting. |
|--|----|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|

|                                       | /s/                    DEBRA A. SCHNEIDER    |
|--------------------------------------------|----------------------------------------------|
|                                       | Debra                    A. Schneider        |
|                                       | *Chief                    Financial Officer* |
|                                       |                                         |
| Date:                    November 14, 2007 |

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